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Kursovaya SES TP 3-1-2-5-6 7-4 2012-12-02

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2012
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????????? ?????? ???????????????? ??????????????????? ??????. ????? ?????????? ?? ????? ????? (???????????). ??????? ?????? ????? ??????????? ?? [1, ???.1]. ? ??????? 1 [1, ????. 9.1] ????????? ???????? ?? ????????????? ???????? ? ?????? ?????? ??? ????????????????? ??????????? ?? 1000 ?, ? ??????? 2 [1, ????. 9.2] - ??? ????????????????? ??????????? ???? 1000 ? ? ? ??????? 3 [1, ????. 9.3] - ?????????????? ??????.
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??????? ?? ???????? ??????.............................................................4 ??????????? ??????? ???????......................................................11 ????????....................................................................................................13 1 ??????? ???????? ??????????????? ???????? ????????????, ????? ?????, ?????? ?? ?????????????????, ?????? ?? ?????? ? ????????? ?? ?????????? ????????????????..........................................................14 2 ?????? ????????????? ???????? ???????????. ?????? ??????????? ? ????????? ?????????????? ?????? ????????????? ???????? ???????????...........................................162.1 ?????? ????????????? ???????? ?? ????.................................................16 ?????? ????????????? ???????? ?? ???????????...................................33 ?????? ?????????????? ???????? ? ???????? ? ????? ?? ???????????.39 ?????? ??????????? ????????????? ???????? ???????????................41 3 ????? ?????, ???????? ? ???? ??????????????? ??????? ???????????????? ?????????? ???????????.....44 4 ????? ?????????? ????? ???????? ???????????????? ? ??????????????? ??????? ????????????? ??????????................................................................56 5 ???????-????????????? ??????????? ????? ???????? ???????????????? ???????????................................59 5.1 ????? ???????? ???????????????? ? ??????????? ???? 110 ??.........59 5.2 ????? ???????? ???????????????? ? ??????????? ???? 35 ??.............73 5.3 ????? ???????????? ???????? ????? ???????? ???????????????? ???????????..........................................................................................................82 6 ????? ???????? ?????????? ? ????? ??????????? ???????????????? ???????????, ?????? ???????? ?????...............................................................................................................83 6.1 ????? ??????????..................................................................................83 6.2 ?????????? ????? ????????????????....................................................83 6.3 ?????????????? ?????????? ????????????? ????...................................85 6.4 ?????? ???????? ?????...........................................................................85 7 ?????? ????? ????????? ?????????......................................91 8 ????? ??????????????????? ??? ????????????? ???????????....................................................................................................107 9 ?????? ??????????? ???????? ?????????? ? ????? ???......................................................................................................................121 10 ?????? ? ????? ????????? ??????????? ?????????? ????????.......................................................................................................122 11 ????? ? ???????? ????????? ???????? ?????? ? ??????????....................................................................................................132 ??????????..............................................................................................135 ????????????????? ??????...........................................................136 ??????????? ??????? ???????
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1) ????????? ????????????? ???????? ????????????????? ??????????? ??????????? ???? 1000 ?: 27812,25 ???.
2) ?? ?????????? ???????????????? ??????????? ??????????? ????????? ?? ?????? ? ??????? ??????????.
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3) ?????? ????????? ???????? ?? ????? ???: 14780,39 ???.
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- ???????? ?????????????? tg??=0,27;
- ????????? tg??=0,276.
5) ?????????? ???????? ????????????????: 35 ??.
6) ???????? ????????? ????????? ? ????? ????????????? ? ????????????? ???????? ??????????? ?????: 490 ???.
7) ?????????? ?? ??????????? ?? ???????? ?????????? ????????????? 1,5 ??; ???????? ????????? ????? ????????? ???????? ????? ??-120/19 8) ?? ??? ??????????? ??? ?????????????? ???? ????-16000/35/10?1.
9) ?????????? ??????????? ???????????????? ???????????: 10 ??.
10) ??? ???????? ????? ?????????????????? ?????????? ???: ???-59.
11) ??? ??????? ???????????? ??????????? ???? 1000 ? ??????????????? 6 ??????? ???????????????? ?????????? ? ???????????????? ???? ??? ????????? 400, 1250, 2000 ? 2500 ???, ? ????? 7 ????????????? ????????????????? ???????.
12) ????? ????????? ?????: ???2??, ???????: 25, 35, 95, 120, 150, 185, 240 ??2 (? ?????? ???????? ?? ??????????? ?????????). ????????
???????? ???????????????? (???) ???????? ???????????? ????????????????, ??????????????? ??? ??????????? ???????????? ????????????? ???????? [3, 1.2.5]. ??????? ???????????????? ???????????? ??????????? ????????? ??? ??????????? ??????? ??????????????? ????????????????? ??????????? ? ?????? ???????? ???????????? ???????-????????????? ???????????: ??? ?????? ???????? ???????????? ????????? ??? ?????????? ???? ??????????? ???????????; ???????????? ????????? ?????????? ???????????????? ? ?????????? ???????? ????????????? ???????; ???? ?????? ? ???????????? ? ????????? ? ????????????; ????? ??????????? ????????, ??????????? ???????????? ??????????? ?????? ?????? ??? ? ??????????, ??? ? ? ?????????????? ???????; ????????? ????????????? ????????????? ??? ????????????? ?????????? ??????????????? ????????.
?? ???? ???????? ?????????????????? ? ???????? ???????????????? ????????????? ? ?????? ??????????, ????????, ????????? ????????????? ????????? ?????? ??????????????? ?????????? ? ??????????? ???, ?????? ??????????????????? ???????? ? ????? ??????????????, ????????????? ? ??????? ????????? ??????????????? ????????? ???????????? ? ??????????? ???????????????? ? ??????????????.
????? ??????? ???????????????? ????????????? ???? ????????????? ? ??? ???????????, ?????????? ??? ?????????????? ????????? ??????? ????? ????????? ????????, ?? ???? ???????????? ????????? ?????? ? ??????? ??????, ??????????? ????????????? ????????, ? ???? ?? ????????????.
????? ???????, ???????? ???????????? ??????? ???????????????? ????????????? ??????????? ???????? ??????? ???????, ?????????? ? ???? ????? ????????????? ????? ?????????????, ????? ???????????? ??????????, ?????????? ????? ????? ?????????? ??????? ?????????? ? ???, ????????????????? ???????? ??????????? ????????????? ????????, ???????????? ????? ????? ? ???????? ???????????????, ????? ???????? ???????????????? ? ?? ??????????, ? ????? ??????? ???????? ? ??? ???????, ???????? ??????????? ?????????? ????????, ?????????????, ??????????????? ? ??. ???????? ??????????? ??????? ?? ?????? ????? ?????????????? ????? ? ?????????? ?????? ??????????????, ????????? ?????????? ? ???????????? ????????????? ????? ?????? ??????????? ?????????? ?????? ????????????????.
1 ??????? ???????? ??????????????? ???????? ????????????, ????? ?????, ?????? ?? ?????????????????, ?????? ?? ?????? ? ????????? ?? ?????????? ????????????????
??? ??????? ?? ????????, ?????????????????? ????? ???????????? ??? ???????????? ??? ??? ???? ?????????????? ?????. ?? ?????????? ??????????????????? ?????? ???????????? ????????? ????:
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??????????? ??????? ( ??? ?????????? ???????) - ??? ????? ????????????????? ??????????? ( ??????), ????????? ?? ?????? ??? ?????????? ?????? ? ??????????, ? ??????? ??????????? ???????? ? ??????????????? ???????????? ??? ????????? ?????? ??? ???????????? ????????? ?????????? ???????, ? ????? ???????????? ?? ???????, ????????, ?????????? ???????? ??? ???????????? ???????? ? ?????? ????????? ???????????? [4].
????? ?????? ???? - ??????. ??????? ????????????????, ??????????? ?? ?????? ????????? ?? ?????????? ????????????????. ?????????????? ???????????????? ???????? ? ?????????? ??????.
????? ???. ?????????. ????? ?????? ??????- ??????. ??? ???????????????? ????????? ? ??????? ????????? ?? ?????????? ????????????????.
???????? ???????. ????? ?????? ??????- ??????. ??????? ????????????????, ??????????? ?? ?????? ????????? ?? ?????????? ????????????????.
????? ??????? ?????????. ????? ?????? ??????- ??????. ??? ???????????????? ????????? ? ??????? ????????? ?? ?????????? ????????????????.
?????. ????? ?????? ??????- ??????. ??? ???????????????? ????????? ? ??????? ????????? ?? ?????????? ????????????????.
????????????? ???????. ????? ?????? ??????- ??????. ?????????????? ????????? ???????? ? ?????????? ??????. ??????? ????????????????, ??????????? ?? ?????? ????????? ?? ?????????? ????????????????.
????????????????? ???. ????? ?????? ??????- ??????. ??????? ????????????????, ??????????? ?? ?????? ????????? ?? ?????????? ????????????????.
?????????????? ???? 1 ? 2. ????? ?????? ??????- ??????. ??????? ????????????????, ??????????? ?? ?????? ????????? ?? ?????????? ????????????????.
??????????????? ???. ????? ?????? ??????- ??????. ??????? ????????????????, ??????????? ?? ?????? ????????? ?? ?????????? ????????????????.
?????. ????? ?????? ??????- ???????????? ??????. ??? ???????????????? ????????? ? ??????? ????????? ?? ?????????? ????????????????.
????????-???????????? ???. ????? ?????? ??????- ??????. ??????? ????????????????, ??????????? ?? ?????? ????????? ?? ?????????? ????????????????.
????????????????. ????? ?????? ??????- ??????. ??????? ????????????????, ??????????? ?? ?????? ????????? ?? ?????????? ????????????????.
????? ???????, ????? ??????? ????? ? ???, ??? ?? ?????????? ??????????? ??????????? ???? ? ??????? ??????.
?????? ????????????? ???????? ???????????. ?????? ??????????? ? ????????? ?????????????? ?????? ????????????? ???????? ???????????
?????? ????????????? ???????? ?? ????
???????? ???????? ??????, ?????????? ?????????? ????????????? ???????? ?? ????????-????????????? ????. ?????????? ?????? ???????? ?????????? ????????????????? ?? ??????? ???????????????? ??????? 1 ???????????? ????????? ?? ?????????????????? ???????????. ????????? ????????????? ???????? ????????????????? i-?? ???? ????????? ?? ??????? [5]: P_?i=n_i�p_?i(2.1)??? ni - ????? ????????????????? i-?? ????;
p_?i - ??????????? ???????? ?????? ???????????????? i-?? ????. ??? ???????? ?????? ?? ??????? (2.1):
P_?i=1�30 ???=30 ???.
??? ????????? ????? ????????????????? ????????? ????????????? ???????? ?????????? ?????????? ? ????????? ? ??????? 2.2
????????? ???????? ? ?????????? ???????? ??????? ????, ??????????? ?? ?????????????????? ???????????, ????? ???? ??????? ?? ???????? [5, 3.2.7, 3.2.8]: P_?=K_?�?_(i=1)^m�?K_?i�P_?i ?(2.2)Q_?=1,1�?_(i=1)^m�?K_?i�P_?i�?tgf?_i ? ??? n_?=10
Q_?=?_(i=1)^m�?K_?i�P_?i�?tgf?_i ? ??? n_?>10(2.3)???
m- ????? ????? ?????????????????, ???????????? ? ?????????????????? ??????????? ??????? ??????? ????;
K_? - ??????????? ????????? ???????? ?? ???????? ????????, ???????????? ??? ???????? ????? ?? 1 ?? ?? [5, ????.1] ? ??????????? ?? n? ? ??;
K_?i - ??????????? ????????????? ????????????????? i-?? ????. ??? ???????? ?????? [6, ????. 4-10]? K?_?i=0,35; ??? ????????? ????? ????????????????? ???????? K_?i ????????? ? ??????? 2.2
?tgf?_i - ???????????????? ??????????? ?????????? ???????? ????????????????? i-?? ????, ????????? ?? ????????????????? ???????????? ???????? ?cosf?_i, ??????? ????????? ?? [6, ????.4-10]. ??? ???????? ?????? tgf=tg[arccos?(cosf) ]=tg[arccos?(0,8) ]=0,75. ??? ????????? ????? ????????????????? ?tgf?_i ???????? ? ??????? 2.2;
n_? - ??????????? ????? ????????????????? ??? ??????? ????, ??????????? ?? ?????????????????? ???????????. ???????? [5]:
n_?=?(?_(i=1)^m�P_?i )?^2/(?_(i=1)^m�?[n_i�?(p_?i)?^2]?).(2.4) ????????? ???????? ?????? ?????? ??? ???? ????? ????????????????? ?? ??????? (2.1), ??????? ?? ??????? (2.4):
n_?=?(30+26,8+28+2,25+44+17)?^2/(1�?(30)?^2+4�?(6,7)?^2+2�?(14)?^2+3�?(0,75)?^2+4�?(11)?^2+2�?(8,5)?^2 )=
=1,6�2;
???????????????? ??????????? ????????????? ?????? ?? ??????? [5, 2.8]: K_?=(?_(i=1)^m�?(K_?i ?�P?_?i)?)/(?_(i=1)^m�?(P_?i)?).(2.5) ?? ??????? (2.5):
K_?=(0,35�30+0,16�26,8+0,16�28+0,16�2,25+0,16�44+0,1�0,17)/(30+26,8+28+2,25+44+17)=
=0,19.
?? [5, ????.1] ?? ???????????? n? ? ?? ??????? K_?=2,5. ?? ??????? (2.2):
P_?=2,5�(0,35�30+0,16�26,8+0,16�28+0,16�2,25+0,16�44+
+0,1�0,17)=70,92 ???;
?? ??????? (2.3):
Q_?=1,1�(0,35�30�0,75+0,16�26,8�1,73+0,16�28�1,73+
+0,16�2,25�1,73+0,16�44�1,73+0,1�0,17�1,73)=42,71 ????.
????????? ?????? ???????? ? ??? ?????? ?? ????????? ????????:
S_?=v(?(P_?)?^2+?(Q_?)?^2 ).(2.6)I_?=S_?/(v3�U_? ),(2.7)??? U_? - ??????????? ?????????? ???? 0,4 ??.
?? ???????? (2.6) ? (2.7):
S_?=v(?(70,92 )?^2+?(42,71)?^2 )=82,79 ???;
I_?=(82,79 ???)/(v3�0,4 ??)=119,49 ?.
??? ????????? ???????? ? ?????????, ?? ?????????? ?????????? ????????, ??????? ????????? ?????????? ? ?? ?????????? ???????????? ? ??????? 2.2.
???????? ???????? ??????, ? ??????????? ??????? ????????-????????????? ???? ??????? ?????????? ????????????????. ??? ?????????? ??????? ?????????? ????????????????? ?? ???????????? ?????? ? ???????? ?????????????????? ??????????? ?????????? ???????????????? ?? ????? ???, ????? ??? ???? ????????? ??????????, ????????? ??? ????????. ?????????? ???????????????? ? ?? ?????????? ?? ????? ???????????? ? ??????? 2.1.
??? ?????????? ?????????????????, ???????????? ?? ???????? ??????????, ?????? ??????????? ? ??????????????? ????? ????????????? ???????? ?? ????????: [7]: P_(?i,m)=P_(?i,mn)�k_(mn(m)i) ; P_(?i,n)=P_(?i,mn)�k_(mn(n)i),(2.8)Q_(?i,m)=P_(?i,mn)�q_(mn(m)i) ; Q_(?i,n)=P_(?i,mn)�q_(mn(n)i),(2.9)??? P_(?i,m) ? Q_(?i,m) - ?????????????? ???????? ? ?????????? ??????????? ???????? ????????????????? i-?? ????, ???????????? ?? ???????? ?????????? mn, ??????????? ? ???? m;
P_(?i,n) ? Q_(?i,n) - ?????????????? ???????? ? ?????????? ??????????? ???????? ????????????????? i-?? ????, ???????????? ?? ???????? ?????????? mn, ??????????? ? ???? n,
P_(?i,mn) - ??????????? ???????? ????????????????? i-?? ????, ???????????? ?? ???????? ?????????? mn, ??????? ????????? ?? ??????? (2.1);
k_(mn(m)i) - ??????????? ?????????? ???????? ???????? ????????????????? i-?? ????, ???????????? ?? ???????? ?????????? mn, ? ???? m [7]:
k_(mn(m)i)=1/2+1/(2v3)�?tgf?_(i,mn).(2.10)??? ?tgf?_(i,mn)- ??????????? ?????????? ???????? ????????????????? i-?? ????, ???????????? ?? ???????? ?????????? mn. ?tgf?_(i,mn) ? ??????????? ?? ???? ???????????????? ? ??? ???????????? ???????? ?cosf?_(i,mn) ????????? ?? [???????, 1980, ????.4-10];
k_(mn(n)) - ??????????? ?????????? ???????? ???????? ????????????????? i-?? ????, ???????????? ?? ???????? ?????????? mn, ? ???? n [7]:
k_(mn(n)i)=1/2-1/(2v3)�?tgf?_(i,mn).(2.11)q_(mn(m)) - ??????????? ?????????? ?????????? ???????? ????????????????? i-?? ????, ???????????? ?? ???????? ?????????? mn, ? ???? m [7]:
q_(mn(m)i)=1/2 ?tgf?_(i,mn)-1/(2v3).(2.12)q_(mn(n)) - ??????????? ?????????? ?????????? ???????? ????????????????? i-?? ????, ???????????? ?? ???????? ?????????? mn, ? ???? n [7]:
q_(mn(m)i)=1/2 ?tgf?_(i,mn)+1/(2v3).(2.13) ? ??????? ??? ?????????? ???? ?????????????, ???????????? ?? ???????? ?????????? AB:
???????? [6, ????. 4.10]: cosf=0,85; tgf=0,62 ?? ???????? (2.10-2.13):
k_(AB(A))=1/2+1/(2v3)�0,62=0,68; k_(AB(B))=1/2-1/(2v3)�0,62=0,32; q_(AB(A))=1/2�0,62-1/(2v3)=0,02; q_(AB(B))=1/2�0,62+1/(2v3)=0,6; ?? ??????? (2.1):
P_(?, AB)=1�20 ???=20 ???;
?? ???????? (2.8) ? (2.9):
P_(?,A)=20 ???�0,68=13,6 ??? ; P_(?,B)=20 ???�0,32=6,4 ???;
Q_(?,A)=20 ???�0,02=0,4 ???? ; Q_(?,B)=20 ???�0,6=12 ????.
??? ????????? ?????????????????, ???????????? ?? ???????? ??????????, ?????????? ???????? ???????? ????????? ? ??????? 2.1.
????? ??? ?????????? ?????????????????, ???????????? ??? ?? ????????, ??? ? ?? ?????? ??????????, ????????? ??????? ???????? ? ?????????? ????????, ???????????? ?? ??????????????? ??? ?? ????????: P_(?i,m)=?K_?i�P?_(?i,m), (2.14)Q_(ci,m)=?K_?i�Q?_(?i,m),(2.15) ??? ?????????? ???? ?????????????, ???????????? ?? ???????? ?????????? AB ?? [6, ????. 4.10] K_?=0,5. ?? ???????? (2.14) ? (2.15):
P_(?,A)=0,5�13,6 ???=6,8 ???; P_(?,B)=0,5�6,4 ???=3,2 ???
Q_(?,A)=0,5�0,4 ???=0,2 ????; P_(?,B)=0,5�12 ???=6 ????.
??? ????????? ????????????????? ??????? ???????? ? ?????????? ????????, ???????????? ?? ??????????????? ???, ???????????? ? ??????? 2.1. ? ?????? "????? ?? ?????????? ??" ????????? ????????? ???????? ????????????? ? ??????? ????????? ??????????????? ???, ???????????? ????? ??????????? ??????????????????. ???????? [8] ?????????? ???????????????? ????????? ?????????? ??????????????? ?? ?????, ???? ??????????????? ???????? ?? ?????- ???????? ??????????? ????????? ???????? ? ???????? ??????????? ???- ?? ????????? 15 % ????????? ??????????? ???????? ?????????? ? ?????????? ????????????????? ???????????????? ????. ???????? ?????????? ??????????? ???????? ??????????? ?????? ????????? ??????????? ???????? ???? ?????????? ?????????????????. ???????? ?????? ??????? 2.1, ???????? ??????????? ????? ???????? ???? ?, ???????? - ???? B . ?????? ??????????????? ???????? ?? ????? ?? ???????:
?P=(P_(?,AS)-P_(?,BS))/(?_(i=1)^n�?(P_(?i(III)))?+?_(i=1)^m�?(P_(?i(I)))?)�100%,(2.16)??? P_(?,AS) ? P_(?,BS) - ????????? ????????????? ????????, ???????????? ??????????? ?????????????????? ?? ??? ? ? ? ??????????????;
?_(i=1)^n�?(P_(?i(III)))? ? ?_(i=1)^m�?(P_(?i(I)))? - ????????? ????????????? ???????? ?????????? ? ?????????? ????????????????? ??????????????. P_(?i(III)) ? P_(?i(I)) ????????? ?? ??????? (2.1).
????????? ???????? ?????? ??? ???????????? ??????? ???, ?????? ?? ???????? (2.1) ? (2.16):
?P=((71,61-70)�100%)/((2�2 ???+2�30 ???+1�7 ???)+(3�10 ???+2�20 ???+3�40 ???+1�25 ???) )=
=0,56 %.
??? ?????, ??????????????? ???????? ??? ??????????? ?????? 15 %, ??????? ?????? ???????? ????????????? ?????????? ????????, ??????????? ??????????? ??????????????????:
P_(?.(III.???))=?_(i=1)^m�?(P_?i(I) ).?(2.17) ?? ??????? (2.17): P_(?.(III.???))=3�10 ???+2�20 ???+3�40 ???+1�25 ???=215 ???
?????? ???????????????? ??????????? ????????????? ?????????? ????????????????? ?? ??????? (2.5):
K_?=(0,5�3�10 ???+0,5�2�20 ???+0,7�3�40 ???+0,5�1�25 ???)/(3�10 ???+2�20 ???+3�40 ???+1�25 ???)=0,61.
?????? ???????????????? ??????????? ?????????? ???????? ?? ???????:
?tgf?_??=(?_(m=A,B,C)�??K_?i�P?_(?i(I))�?tgf?_(i(I)) ?)/(?_(m=A,B,C)�?K_?i�P?_(?i(I)) )(2.18)??? ?tgf?_(i(I))- ??????????? ?????????? ???????? ?????????? ?? i-?? ????/
?? ??????? (2.18):
?tgf?_??=(0,5�3�10 ???�0,85+0,5�2�20�0,62 ???+0,7�3�40 ???�2,68+0,5�1�25 ???�0,62)/(0,5�3�10 ???+0,5�2�20 ???+0,7�3�40 ???+0,5�1�25 ???)=
=1,93.
???????? ????????????? ?????????? ???????? ?????????? ?????????????????, ?????????? ?????????? ?????????????????, ???????????????? ???????????? ????????????? ? ?????????? ???????? ??????? ? ??????? 2.2 ??? ?????? "?????????? ????????????????" ??? ??????? ????????????? ???????? ??-7, ?? ???????? ???????? ??????????? ???????.
??????? 2.1
???????????? ?????????? ?????????????????ni, ??.p?i, ??? P?i, ??? ni�(p?i)2, ???????????????? ???????? ??, ???????????? ?? ???????? ????????????????????? ?????????? ????????????? ???????? ??, ???????????? ?? ????K?K?�????�??�tgfabbcca? ????kqabc123456789101112131415161744. ???? ????????????? ??????????, U???=380 ?1202040020--a0,680,0213,586,420,000,5010,006,20b0,320,6046.???? ???????????? ??????????, U???=380 ? 14040160040--a1,271,0550,90-10,900,000,7028,0074,94b-0,271,6344. ???? ????????????? ??????????, U???=380 ?12020400-20-b0,680,020,0013,586,420,5010,006,20c0,320,6046.???? ???????????? ??????????, U???=380 ? 140401600-40-b1,271,050,0050,90-10,900,7028,0074,94c-0,271,6346.???? ???????????? ??????????, U???=380 ? 140401600--40c1,271,05-10,900,0050,900,7028,0074,94a-0,271,6347.???? ??????? ??????????, U???=380 ?12525625--25c0,680,028,030,0016,970,5012,507,75a0,320,6043. ??????????? ??????, ??????????, U???=220 ?11010100------10,000,000,000,505,003,1043. ??????????? ??????, ??????????, U???=220 ?11010100------0,0010,000,000,505,003,1043. ??????????? ??????, ??????????, U???=220 ?11010100------0,000,0010,000,505,003,10????? ?? ?????????? ??9 2156525 71,6170,0073,390,61131,50254,26
??????????? ??????? 2.1
???????????? ?????????? ?????????????????cosftgf??????? ??????????????????????????abcabc1181920212223242544. ???? ????????????? ??????????, U???=380 ?0,850,626,793,210,000,215,990,0046.???? ???????????? ??????????, U???=380 ? 0,352,6835,63-7,630,0029,3945,550,0044. ???? ????????????? ??????????, U???=380 ?0,850,620,006,793,210,000,215,9946.???? ???????????? ??????????, U???=380 ? 0,352,680,0035,63-3,820,0029,3945,5546.???? ???????????? ??????????, U???=380 ? 0,352,68-7,630,0035,6345,550,0029,3947.???? ??????? ??????????, U???=380 ?0,850,624,010,008,497,480,000,2643. ??????????? ??????, ??????????, U???=220 ?0,850,625,000,000,003,100,000,0043. ??????????? ??????, ??????????, U???=220 ?0,850,620,005,000,000,003,100,0043. ??????????? ??????, ??????????, U???=220 ?0,850,620,000,005,000,000,003,10????? ?? ?????????? ??- 1,9343,8043,0048,5185,7384,2484,29
??????? 2.2
???????? ??????????????? ????????n???????????? ???????? I?, ??? ??????? ???????????? ?????????? ????????�P???�??�tgfn�p?2P?, ??? Q?, ???? S?, ??�????????????? ??n, ??.??????????? (?????????????) ????????, ???????????????? ?????????? ????????p? P?=n�p? cosftgf12345678910111213141516??????? 1 ???????????? ????????? (??-1)1. ???????? ??????130,0030,000,350,800,7510,507,88900,00 2.?????? ?????????46,7026,800,160,501,734,297,432872,96 3.?????? ?????????-???????????214,0028,000,160,501,734,487,761568,00 4.?????? ????????30,752,250,160,501,730,360,6215,19 5. ?????? ????????411,0044,000,160,501,737,0412,197744,00 6.????-?????28,5017,000,100,501,731,702,94578,00 ??????? ????????????? ???????? ?? ??-116 148,050,19 28,3738,8213678,151,602,5070,9242,7182,79119,49??????? 2 ???????????? ????????? (??-2)7.?????? ????????????511,7058,500,170,651,179,9511,63684,45 8.?????? ???????????? ?????????313,0039,000,170,651,176,637,75507,00 9.?????? ????????????514,0070,000,350,402,2924,5056,14980,00 ??????????? ??????? 2.2
???????? ??????????????? ????????n???????????? ???????? I?, ??? ??????? ???????????? ?????????? ????????�P???�??�tgfn�p?2P?, ??? Q?, ???? S?, ??�????????????? ??n, ??.??????????? (?????????????) ????????, ???????????????? ?????????? ????????p? P?=n�p? cosftgf12345678910111213141516??????? 2 ???????????? ????????? (??-2)10.?????? ????????316,0048,000,170,651,178,169,54768,00 11.?????? ?????????????-?????????229,0058,000,170,651,179,8611,531682,00 12.?????? ?????????-???????????46,9027,600,160,501,734,427,65190,44 13.???? ????????38,9026,700,160,501,734,277,40237,63 14.???? ??????????51,708,500,160,501,731,362,3614,45 15.??????? ???????????????31,404,200,400,750,881,681,485,88 16.???????? ??????21,402,800,350,800,750,980,743,92 ??????? ????????????? ???????? ?? ??-235 343,300,21 71,80116,205073,7723,231,1280,42116,20141,32203,97
??????????? ??????? 2.2
???????? ??????????????? ????????n???????????? ???????? I?, ??? ??????? ???????????? ?????????? ????????�P???�??�tgfn�p?2P?, ??? Q?, ???? S?, ??�????????????? ??n, ??.??????????? (?????????????) ????????, ???????????????? ?????????? ????????p? P?=n�p? cosftgf12345678910111213141516??????? 3 ???????????? ????????? (??-3)17.?????? ????????????-????????64,5027,000,160,501,734,327,48121,50 18.?????? ???????????250,00100,000,170,651,1717,0019,885000,00 19.?????? ?????????-???????????46,9027,600,160,501,734,427,65190,44 20.?????? ????????????????61,7010,200,160,501,731,632,8317,34 21.?????? ???????????211,7023,400,350,601,338,1910,92273,78 22.????? ??????????????22,805,600,200,651,171,121,3115,68 23.?????? ???????-???????????115,0015,000,170,651,172,552,98225,00 24.??????? ???????????37,0021,000,160,501,733,365,82147,00 ??????? ????????????? ???????? ?? ??-326 229,800,19 42,5958,865990,748,811,4360,9064,7588,89128,30
??????????? ??????? 2.2
???????? ??????????????? ????????n???????????? ???????? I?, ??? ??????? ???????????? ?????????? ????????�P???�??�tgfn�p?2P?, ??? Q?, ???? S?, ??�????????????? ??n, ??.??????????? (?????????????) ????????, ???????????????? ?????????? ????????p? P?=n�p? cosftgf12345678910111213141516??????? ?? ??????? ??????????????????? (??-4)25.?????? ???????-???????????37,522,50,170,651,173,8254,47168,75 26.?????? ????????????-?????????63180,170,651,173,063,5854 27.?????? ?????????4140,160,51,730,641,114 28.?????? ???????????110100,160,51,731,62,78100 29.?????? ?????????26,813,60,160,51,732,183,7792,48 ??????? ????????????? ???????? ?? ??-416 68,10,17 11,3115,70419,2311,061,4115,9315,7022,3732,29??????????????? ????????? (??-5)30.?????-???????19,509,500,160,501,731,522,6390,25 31.??????39,0027,000,170,651,174,595,37243,00 ??????????? ??????? 2.2
???????? ??????????????? ????????n???????????? ???????? I?, ??? ??????? ???????????? ?????????? ????????�P???�??�tgfn�p?2P?, ??? Q?, ???? S?, ??�????????????? ??n, ??.??????????? (?????????????) ????????, ???????????????? ?????????? ????????p? P?=n�p? cosftgf12345678910111213141516??????????????? ????????? (??-5)32.?????? ???????????-???????????39,6028,800,160,501,734,617,98276,48 33.??????? ???????????19,009,000,160,501,731,442,4981,00 34.??????????????? ?????????114,0014,000,300,601,334,205,60196,00 35.????????????? ?????????115,0015,000,350,501,735,259,09225,00 36.????-?????116,5016,500,100,501,731,652,86272,25 ??????? ????????????? ???????? ?? ??-511 119,800,19 23,2636,031383,9810,371,4032,5639,6351,2974,03
??????????? ??????? 2.2
???????? ??????????????? ????????n???????????? ???????? I?, ??? ??????? ???????????? ?????????? ????????�P???�??�tgfn�p?2P?, ??? Q?, ???? S?, ??�????????????? ??n, ??.??????????? (?????????????) ????????, ???????????????? ?????????? ????????p? P?=n�p? cosftgf12345678910111213141516????????? ????????? (??-6)37.???? ???????????290,00180,000,500,850,6290,0055,7816200,00 38.?????135,0035,000,200,651,177,008,181225,00 39.?????? ????????21,703,400,170,651,170,580,685,78 40.?????? ?????????-???????????246,0092,000,170,651,1715,6418,294232,00 41.????????? ?????????????? ?????225,0050,000,700,950,3335,0011,501250,00 42.????-??????? ?? 25%21,002,000,050,501,730,100,172,00 ??????? ????????????? ???????? ?? ??-611 362,400,41 148,3294,6022914,785,731,11164,63104,06194,76281,11??????????? ??????? (??-7)?????????? ?? (43,44,46,47)9-2150,610,461,93131,50254,266525,00 45. ??????? ?? 25%2240,050,501,730,200,358,00 48. ???? ???????????230600,500,850,6230,0018,591800,00 ??????????? ??????? 2.2
???????? ??????????????? ????????n???????????? ???????? I?, ??? ??????? ???????????? ?????????? ????????�P???�??�tgfn�p?2P?, ??? Q?, ???? S?, ??�????????????? ??n, ??.??????????? (?????????????) ????????, ???????????????? ?????????? ????????p? P?=n�p? cosftgf12345678910111213141516??????????? ??????? (??-7)49. ??????????1770,650,800,754,553,4149,00 ??????? ????????????? ???????? ?? ???????14 2860,58 166,25276,618382,009,761,00166,25276,61322,73465,81????????? ???????50.?????? ????????????-????????4140,160,51,730,641,1085134,00 51.?????? ???????????-?????????45,622,40,160,501,733,5846,20767125,44 52.??????32,88,40,160,51,731,3442,32787623,52 53.?????? ???????????3130,160,51,730,480,8313843,00 54.?????? ???????-???????????411440,160,51,737,0412,19364484,00 55.?????? ?????????????-?????????38,826,40,160,51,734,2247,316183232,32 56.??????22,85,60,160,51,730,8961,55191815,68 ??????? ????????????? ???????? ?? ???????23 113,80,16 18,20831,53718887,9614,581,4125,6731,5440,6758,70
?????? ???????? ?? ???? ????????????? ???????? ????????????? ???????? ?? ????? ??????? ??. ? ??????? ?? ?????????? ????????, ????????? ?????????? ???????? ????????? ?? ??????? [5, 3.2.8.2]:
Q_?=K_?�?_(i=1)^m�?K_?i�P_?i�?tgf?_i ? (2.19) ????????? ???????? ???????? ????? ????????? ?? ??????? (2.2 . ??? ??????? ?? ???????? (2.2) ? (2.19) ??????????? K_? ??????? [5, ????.2] ? ??????????? ?? ????????????????? K_? ? n_?. n_? ????? ????????? ?? ??????? (2.4), ?????? ??? ???? ???????????? ????????????? ???????? ???? ?????????????????, ????????????? ? ???. ???????? K_?i ?�P?_?i ? K_?i�P_?i�?tgf?_i ???? ??????? ??? ?????????? ???????? ? ???????? ?????????? ??? ????????????????? ??????????????? ???????? ? ????????? ???. ?? ?? ????? ????? ? ??????? ? ??? ???????? P_?i, ???????????? ??? ??????? ????????????????? ?? ???? ???????????? ?????????????.
?? ??????? (2.4):
n_?=48
?? ??????? (2.5):
K_?=(28,37+71,8+42,59+11,32+23,26+148,22+166,25+18,21)/(148,05+343,3+229,8+68,1+119,8+362,4+286+113,8)=0,31;
?? [???, ????.2] K_?=0,75. ?? ???????? (2.2) ? (2.19):
P_?=0,75�(28,37+71,8+42,59+11,32+23,26+148,22+166,25+18,21)=
=382, 57 ???;
?? ??????? (2.19):
Q_?=0,75�(38,82+116,2+58,86+15,7+36,03+94,6+276,61+
+31,54)=501,27 ????;
?? ???????? (2.6) ? (2.7):
S_?=v(?(382,57 )?^2+?(501,27)?^2 )=630,58 ???;
I_?=(630,58 ???)/(v3�0,4 ??)=910,16 ?.
?????????? ??????? ????????? ? ??????? 2.3.
??????? 2.3
???????????? ?????????????n, ??.P?, ??? ????�P???�??�tgfn�p?2 n? ???P?, ???Q?, ???? S?, ??�? I?, ?123456789101112131. ??????? 1 ???????????? ?????????16148,050,1928,3738,8213678,15 2.??????? 2 ???????????? ?????????35343,300,2171,80116,205073,77 3.??????? 3 ???????????? ?????????26229,800,1942,5958,865990,74 4.??????? ?? ??????? ???????????????????1668,10,1711,3015,70419,23 5.??????????????? ?????????11119,800,1923,2636,031383,98 6.????????? ?????????11362,400,41148,3294,6022914,78 7.??????????? ???????142860,58166,25276,618382,00 8.????????? ???????23113,80,1618,2131,54887,96 ????? ??????? ????????????? ???????? ?? ???1541671,250,31510,09668,3658730,6147,560,75382,57501,27630,58910,16
?????? ????????????? ???????? ?? ???????????
??? ????????? ????? ??????????? ? ???????? ?????? ??????: ????????? ????????????? ???????? ????????????????? P?, ??????????? ????? ????????????????? n?, ???????????????? ?? ???? ??????????? ????????????? ?? ? ??????????? ???????? cosf. ????????? ???????? ???????? ??????? ???????? ?? ???? ????????? ?? ????????? ??????????????? ??????? (2.2):
P_(?.???)=K_?�K_?�P_?(2.20) ??????????? ????????? ???????? K_? ??? ?????, ??????? ??????????? ?????? ? ??????? ??? (??. ?????? 3), ??????? ?? [5, ????.1]. ??? ?????, ?????????? ?? ??????????? ?? K_? ??????? ?? [5, ????.1]. ?????????????? ??????????????, ??? ?????, ?????????? ?? ???, ????????? ?????????? ???????? ??????? ???????? ????????? ?? ???????: Q_(?.???)=1,1�K_?�K_?�P_?�tgf ??? n_?=10
Q_(?.???)=K_?�K_?�P_?�tgf ??? n_?>10(2.21) ??? ?????, ?????????? ?? ??????????? ??:
Q_(?.???)=K_?�K_?�P_?�tgf(2.22) ? ???????, ??? ??????????? ??????? (??? ? 1), ???????, ? ???? ???????????? ????? ????????????? ????????, ? ??????? ? 3 ??????????? ?????? ?? ???: ?P_?=335 ???; n?_?=9; K_?=0,45; cosf=0,7 (tgf=1,02). ???????? [5, ????.2] K_?=0,9.
?? ??????? (2.20):
P_(?.???)=0,9�0,45�335 ???=135,68 ???.
?? ??????? (2.21)
Q_(?.???)=1,1�0,9�0,45�335 ???�1,02=138,42 ????;
??? ????????? ????? ?????????? ??????? ??????? ????????????? ???????? ???????????? ? ??????? 2.4
????????? ???????? ????????????? ????????????????? ???????????? ?? ???????? ????????????? ???????? ?? ??????? ???????????????? ??? ???? ??????????? ???? ? ?????? ???????????? ?????? [7]:
P_(?.?)=K_(?.?)�P_(?.?)�F_?,(2.23)Q_(?.?)=K_(?.?)�P_(?.?)�F_?�?tgf?_?,(2.24)
??? K_(?.?) - ??????????? ?????? ?? ???????? ???????? ????????????? ????????. ???????????? ?? [9, ?.36]. ? ???????, ??? ??????????? ??????? K_(?.?)=0,95.
P_(?.?) - ???????? ????????????? ???????? ?? 1 ?2 ???????????????? ??????????? ???? ????. ???????????? ???????? [6, ???? 4.16]. ??? ??????????? ??????? P_(?.?)=0,017 ???/?^2 ;
F_? - ??????????? ???? ????, ?2. ???????????? ??????????? ????? ?? ???????? ??????. ??? ??????????? ??????? F_?=707,55 ?^2;
?tgf?_? - ??????????? ?????????? ???????? ? ?????? ?????????????? ? ????????? ??????????? ?????????? ???????? ?????????? ?????. ???????? [7] ??? ?????????? ?????????? ??????????? ????? ?tgf?_?=0,3.
?? ???????? (2.23) ? (2.24):
P_(?.?)=0,95�0,017�707,55=11,43 ???;
Q_(?.?)=0,95�0,017�707,55�0,3=3,43 ????.
??? ????????? ????? ?????????? ??????? ????????????? ???????? ???????????? ? ??????? 2.4.
????????? ?????? ???????? ? ????????? ??? ??? ??????? ???? ????????? ?? ??????t (2.25) ? ?? ??????? (2.7)
S_?=v(?(P_(?.???) ?+P?_(?.?))?^2+?(Q_(?.???) ?+Q?_(?.?))?^2 ).(2.25) ??? ??????????? ??????? ?? ???????? (2.25) ? (2.7):
S_?=v(?(135,68 ???+11,43 ??)?^2+?(138,42 ????+3,43 ????)?^2 )=204,35 ???;
?? ??????? (2.7):
I_?=(204,35 ???)/(v3�0,4 ??)=294,95 ?.
?????????? ???????? ?????? ????????? ???????? ? ?????????? ???? ??? ?????? ?????, ? ????? ??????? ????????????? ???????? ??? ????????? ?????????? ???????????, ???????????? ? ??????? 2.4.
??????? 2.4
???????????? ?????????????P?, ??? n???cosftgf??�P???�P?�tgf ???P?, ???Q?, ???? F?, ?2P??.???, ???tgf???12345678910111213141. ??????????? ???????33590,450,701,02150,75153,800,9135,68138,42707,550,0170,32.?????. ???. ?????????5070,250,651,1712,514,611,3917,3816,08488,60,0160,33.???????? ???????30090,700,800,75210157,500,9189,00173,25625,40,0160,34.????? ??????? ?????????575100,300,651,17172,5201,670,9155,25181,511995,60,0160,35.?????18060,250,651,174552,611,4565,2557,87625,40,0160,36.????????????? ???????12050,800,750,889684,66196,0084,66742,60,0160,37.????????????????? ???3075270,600,701,0218451882,280,851568,251599,942585,50,0170,38.?????????????? ??? 16820960,550,651,1737514385,410,7752907,033398,694037,30,0150,39.?????????????? ??? 26020810,500,61,3330104013,330,7752332,753110,334754,40,0150,310.??????????????? ???8380670,450,651,1737714408,790,7252733,983196,376212,40,0170,311.?????8150,300,61,3324,332,401,3532,8135,64976,80,0160,312.????????-???????????? ???1671,2547,560,310,611,31510,09668,360,75382,57501,273984,80,0160,3 ??????????? ??????? 2.4
???????????? ???????????????.?????.???, ???Q?.???, ??????.???+??.???, ???Q?.???+Q?.???, ????S?, ??�?I?, ?1151617181920211. ??????????? ???????0,9511,433,43147,10141,84204,3496294,952.?????. ???. ?????????0,64,691,4122,0717,4828,1540,633.???????? ???????0,959,512,85198,51176,10265,36383,024.????? ??????? ?????????0,9530,339,10185,58190,61266,03383,985.?????0,66,001,8071,2559,6792,94134,156.????????????? ???????0,9511,293,39107,2988,05138,79200,337.????????????????? ???0,939,5611,871607,811611,802276,613286,008.?????????????? ??? 10,954,5016,352961,533415,044520,306524,509.?????????????? ??? 20,964,184419,262396,933129,593942,035689,8310.??????????????? ???0,995,0497228,514922829,023224,894289,906191,9411.?????0,69,377282,81318442,1838,4557,0882,3912.????????-???????????? ???0,851,0054415,30163433,58516,57674,4133973,43 ??????????? ??????? 2.4
???????????? ?????????????P?, ???n???cosftgf??�P???�P?�tgf???P?, ???Q?, ????F?, ?2P??.???, ???tgf???123456789101112131413.????????????????205120,500,80,75102,576,881,03105,5876,88435,70,0160,314.????????? ??????????92244,950,0020,3????? ?? ????????????? ???????? ?? ???????????27812,250,4913700,6416132,3010721,5012570,90 ??????????? ??????? 2.4
???????????? ???????????????.?????.???, ???Q?.???, ??????.???+??.???, ???Q?.???+Q?.???, ????S?, ??�?I?, ?11516171819202113.????????????????0,855,931,78111,5078,65136,45196,9514.????????? ??????????0,9166,0449,81????? ?? ????????????? ???????? ?? ???????????558,89167,67
?????? ?????????????? ???????? ? ???????? ? ????? ?? ???????????
? ???????? ?????????????? ???????? ???????????? ?????????? ? ??????????? ?????????. ????????? ???????? ? ?????????? ???????? ?????????????? ???????? ???????? [5, 3.3.6] ????????? ?? ????????:
P_???=K_(?.?)�?_(i=1)^m�?K_?i�P_?i ?,(2.26)Q_???=K_(?.?)�?_(i=1)^m�?K_?i�P_?i�?tgf?_i,? (2.27)??? K_(?.?) - ??????????? ??????????????? ??????????, ???????????? ?? [5, ????.3] ? ??????????? ?? ????????????????? ???????????? ????????????? K_? ? ????? ????????????? ? ??????????????? ????.
? ?????? ???????? ??????? ??????????? ???????????? ???????????????? ?????????????? ??????????? ? ?????????? ?????????? ?? ????????? ?????????????? ??. ????? ???????????????? ??????????? ????????????? K_? ????? ????? ???????????? ????????????? ?????? ?????????. ??? ??????????? ?????????? ?? ??????? (2.1)
P_?=4�630=2520 ???;
??????????? ?????????? ???????? tgf=tg(acos?(0,75) )=0,88.
???????? [5, ????.3] ??? ??????? ????????????? ??? ???????????????? ???????????? ????????????? K_?=0,7 ??????????? ??????????????? ?????????? K_(?.?)=1. ????? ?? ???????? (2.26) ? (2.27):
P_???=1�0,7�2520=1764 ???;
Q_???=1�0,7�2520�0,88=1555,7 ????.
?? ???????? (2.6) ? (2.7):
S_???=v(?(1764 )?^2+?(1555,7)?^2 )=2352 ???;
I_???=2352???/(v3�10 ??)=135,79 ?.
??????????? ??????? ?????????? ? ??? ?????????? ?????????? ?????????? ???????? ????????? ? ??????? 2.5.
?????? ???????? ?? ??????????? ? ????? ???????? ? ??????? 4.
??????? 2.5
???????? ??????????????? ???????????????????? ????????I?, ??? ??????? ???????????? ?????????? ????????�P???�??�tgfP?, ???Q?, ????S?, ??????????????? ????????????? ? ?? ??n, ??.??????????? (?????????????) ????????, ??? ????????????? ?????????? ???????? p? P? cosftgf 12345678910111415161.??????????? ??????? 1.1.??????????? ?????????463025200,70,750,8817641555,70117641555,702352135,796.????????????? ??????? 6.1.?????????? ?????????4100040000,80,9-0,483200-1549,8313200-1549,833555,56205,28 ?????? ??????????? ????????????? ???????? ???????????
??????????? ???????? ???????????? ????? ??????????? ?? ???????? ??????????, ?????? ??????? ????????? ? ???????? ???????? ?????, ? ??????? ?????? ??????????????? ????????? ???????? ?????????. ?????? ???? ??????? ?? ???????, ??????? ??????? ??????????????? ????????? ???????? ????????? ????????????????? ??????????? ?? 1000 ?, ????????????????? ??????????? ???? 1000 ? ? ?????????????? ?????????. [10, 4.4.5]. ????????? ? ???????? ?????? ?????? ?? ??????? ? ?????????? ????????????????? ? ????? (?? ??????????? ???), ?? ?????? ?????? ????????????? ???????? ????? ???????????? ? ??????????? ???????? ?????. ??? ???????? ???, ??, ????????? ???? ????, ??????????? ? ???????? ?????? ??? ??????? ???????? ?? ???? [2], ?? ????????? ? ?????? ???, ??????????? ? [1, ???.9.1], ?? ????? ?????? ????? ????????????? ???????? ??? ??????????? ? ?????????? ??????? ???. ???????????? ??????? ???????? ??????????????? ????? ????????? ? ??????? 2.6
??????? ??????????? ? ???? ???????? ??? ??????? ???? ????????? ?? ???????? [10, ?.4.16, 4.17]:
r_i=v(P_?i/(p�m)),(2.28)a_?i=360�P_(?.?i)/P_?i ; a_?i=360�P_(?.?i)/P_?i ; a_?i=360�P_(?.?i)/P_?i , (2.29)??? P_?i, P_(?.?i), P_(?.?i), P_(?.?i) - ????????? ???????? ???????? ?????????????? ????? ????, ????????????????? ??????????? ?? 1000 ?, ????????????????? ??????????? ???? 1000 ? ? ?????????????? ?????????, ??????? ??????? ??? ??????????????? ????? ?? ?????? 2.4 ? 2.5;
m - ??????? ???????? ??????????? ????????, ???/?^2 .
??????? m ?????? ?? ?????????? ???????: ?????? ????? ??? ???? ? ?????????? ????????? ????????? P_(?.min) ?????? ???? ????? r_min=5 ??. ????? ??????? m ????????? ?? ???????:
m=P_(?.min)/(p�?(r_min)?^2 ).(2.30) ????????? ????????? ???????? ?? ???? ?? ??????? ??????????? ??????? ?? ???????:
P_?i=P_(?.?i)+P_(?.?i)+P_(?.?i).(2.31) ?? ??????? (2.31):
P_?i=135,68+1764+11,43=1911,1 ???.
??? ????????? ????? ?????????? ???????? ????????? ? ??????? 2.6
?? ??????????? ????????, ?????????? ????????? ???????? ???????? ?????????? ????? ?????????? ?????????. ??????? ?? ??????? (2.30):
m=(22,07 ???)/(p�?(5 ??)?^2 )=0,281 ???/?^2 .
????? ??? ??????????? ??????? ?? ???????? (2.28) ? (2.29):
r_i=v((1911,1 ???)/(p�0,281 ???/?^2 ))=46, 53 ??
a_?i=360�(135,68 ???)/(1911,1 ???)=?25,56?^?; a_?i=360�(1764 ???)/(1911,1 ???)=?332,29?^? a_?i=360�(11,43 ???)/(1911,1 ???)=?2,15?^?
??? ????????? ????? ?????????? ???????? ????????? ? ??????? 2.6
????? ????????????? ???????? ??????????? ???????? ????????????? ??????? ??????????? ????????????? ??????? (???????? ????????) ???????????, ?????????? ???????? ????????? ?? ?????????? [10, 4.4.6, ?.18]:
X_0=(?_(i=1)^n�??(P?_?i�X_i)?)/(?_(i=1)^n�P_?i ),Y_0=(?_(i=1)^n�??(P?_?i�Y_i)?)/(?_(i=1)^n�P_?i );(2.32)??? X_i, Y_i - ?????????? ?????? ????????????? ???????? i-?? ????.
????????? ????????? (2.32), ???????:
X_0=(1911,1�418,3+...+111,5�30)/(1911,1+111,5)=226,1 ?;
Y_0=(1911,1�192,7+...+111,5�136,2)/(1911,1+111,5)=175,01 ?.
????????? ?? ??????????? ??????????? ???? ? ??????? ??????, ????????? ??? ??????????? ???????? ?? ?????? ????????????? ???????? ??? ????? ???? ??????. ?????????? ?????? ????????????? ???????? ?? ???????? ??????????? ??. ?? ??????? 3.1.
??????? 2.6
???????????? ?????????????P?.?, ??? P?.?, ??? P?.?, ??? P?.S, ??? Xi, ?Yi, ?R, ??a?, ???? a?, ???? a?, ???? 123567891011121. ??????????? ???????135,6811,4317641911,10418,3192,746,5325,562,15332,292.?????. ???. ?????????17,384,69022,07343,6239,25,00283,4776,5303.???????? ???????189,009,510198,51360,35177,6515,00342,7617,2404.????? ??????? ?????????155,2530,330185,58295,35217,4514,50301,1658,8405.?????65,256,00071,25300,65163,958,98329,6730,3306.????????????? ???????96,0011,2932003307,29303,3119,7561,2110,451,23348,327.????????????????? ???1568,2539,5601607,81250,7217,4542,68351,148,8608.?????????????? ??? 12907,0354,5002961,53186,15217,4557,93353,376,6309.?????????????? ??? 22332,7564,1802396,9318011552,11350,369,64010.??????????????? ???2733,9895,0502829,0286,25217,4556,61347,9012,10011.?????32,819,38042,1895,657,056,91279,9780,03012.????????-???????????? ???382,5751,010433,5892,95126,9522,16317,6542,35013.????????????????105,585,930111,5030136,211,24340,8719,130????? 226,10175,01 ????? ?????, ???????? ? ???? ??????????????? ??????? ???????????????? ?????????? ???????????
????? ??????????????? ???????? ?????? ?????? ??????????????. ?? ??????????? ?????? ?? ???????? ??????????? ? ????????????? ?????????? ??????????????? ????? ???????????????? ????????????? ???????????. [10, 4.5]
???????? ??????????????? ??????? ?? ??????? ?? ???????? ???????? ?????????????????, ?? ????????? ?? ?????????? ????????????????, ?? ???????? ???????, ?? ??????? ??? ????????? ? ?.?. [10, 4.5]
????? ??????????????? ??????? ?? ?????????? ?? ??????? ???????????????? ????? 1,2,3,5,6. ???????? [11, 2.7] ????? ???? ???????? ? ?????? ?????????? ??????????, ? ????? ?? ???????????? ?????? ??????????????? ????????? ? ?????????? ????????????? ???????? ? ??????????? ?? ?? ??????????? ????? ???????????. ??? ???? ?????? ??????????? ????? ????????????-???????????? ? ???????????????? ??????????, ???????????? ???????????????? ????????????, ??????? ?????????? ?????, ?????????? ?????????????? ? ????????????? ????????????. ?? ??????????? ??????? ???????? ???????, ??? ?????? ?? ???? ????? ?????????? ???????????? ?????? ????????? ???????? ???????? (100-200 ???). ????? ????, ???????? ???????? ??????, ????????????? ???? ?????????????? ??????????? ?????? ???? ? ?????. ??????? ????? ????? ??????????? ??????? ???????????????? ?????? ????? ?? ????? ?? (??-1) ?????? ?? ????????????? ?????, ? ?????????????? ??? ??? ???????????????? ????????? ????????????? ?????. ??? ?????? ?????????? ?????????? ????? ????????????? ???????? 0,4 ?? ????????????? ?????. ??? ?????, ????????? ????????? (2.32) ???????:
X_?(1-6) =(?_(i=1,2,3,5,6)�?[(P_(?.???.0,4??.i)+P_(?.???.i))�X_i)]?)/(?_(i=1,2,3,5,6)�??(P?_(?.???.0,4??.i)+P_(?.???.i))?)=
=((135,68+11,43) ???�418,3 ?+(17,38+4,69)�343,63)/(546,21 ???)+...
+((95+11,3)�303,3)/(546,21 ???)=356,3?
Y_?(1-6) =(?_(i=1,2,3,5,6)�?[(P_(?.???.0,4??.i)+P_(?.???.i))�Y_i]?)/(?_(i=1,2,3,5,6)�??(P?_(?.???.0,4??.i)+P_(?.???.i))?)=
=((135,68+11,43) ???�192,7?+(17,38+4,69)�239,2)/(546,21 ???)+...+
+((95+11,3)�119,75)/(546,21 ???)=171,03 ?
???????? ????????????????? ?????? ????????????? ???????? 0,4 ??, ????????? ??????? ?? ????? ??????????? ? ???? ? 3 "???????? ???????".
???????? [10, ?.4.19] ???????? ????????? ???????? ????? ???? ??????? ?? ???????:
s=S_?/F_? ,(3.1)
??? s- ???????? ????????? ????????, ???/?2;
S_?- ????????? ???????? ???? 0,4 ??; ???;
F_?- ??????? ????, ?2.
?? ??????? (3.1), ????????? ?????????? ?????? ??????? ????????????? ????????, ???????:
s=v(?(198,51)?^2+?(176,10)?^2 )/625,4=0,42 ???/?2
???????? [11, 6.4.7] ??? ????????? ???????? 0,2-0,5 ???/?2 ????????? ???????? ?????????????? ????????? 1600 ???.
???????? ?????? ????????? ?? ?????????? ???????????????? ???????????????? ????????????? ? ???? ? 3, ? ????????? ? ??????? ?? ??????????? 2 ?????????????? ???? ???. ???????? [11, 6.4.5] ?????????? ??????????? ???????? ? ?????????? ?????? ????????? ?????????????? ??? ???????????????????? ?????????? ??.?=0,7.
???????? [10, ?.4.20] ?????????? ??????????????? ? ??????? ?? ?? ??????? ????????????? ???????????????? ???????????? ?? ???????:
N_(?.min)^?=P_p/(?_(?.?)�S_(?.?.)^? )+?N_?,(3.2)
??? N_(?.min)^?- ?????????? ??????????????? ??????? ??;
P_p- ????????? ???????? ?? ?? ???????????? 0,4 ??;
S_(?.?.)^?- ???????????? ?????????????? ???????? ?????? ??????????????.
????????? ???????? ????? ???? ??????? ?? ??????? (2.2) ??? ????????? ????????:
???????? ??????? (2.5) ???????????????? ??????????? ????????????? ?? ?????? ??? ??????? ?? ?????????:
?_?=(?_(i=1,2,3,5,6)�(?_?i�P_?i ) )/(?_(i=1,2,3,5,6)�P_?i )=(0,45�335 ???+0,25�50 ???+...+0,8�120 ???)/(335 ???+50 ???+...+120 ???)=
=0,52
??????????? ????? ????????????????? ??? ??? ??????? ?? ????????? ?? ??????? (2.4):
n_?=(?_(i=1,2,3,5,6)�(P_i ) )^2/(?_(i=1,2,3,5,6)�???[n?_?i�(P_i/n_?i )?^2]?)=
=(335 ???+50 ???+...+120 ???)^2/(9�((335 ???)/9)^2 +7�((50 ???)/7)^2 +...+?5�((120 ???)/5)?^2 )=31,2�31
????????? [11, ????.2] ??? ????????? ?_? ? n_? ??????????? ????????? ???????? ?? ???????? ???????? ???=0,81.
????????? ??????? () ????????? ????????? ???????? ???????? ?? ????? ??????? ??:
P_p=?_??�?_(i=1,2,3,5,6)�(?_?i�P_?i ) +?_(i=1,2,3,5,6)�P_???i P_p=0,81�(0,45�335 ???+0,25�50 ???+...+0,8�120 ???)+(11,43 ???+
+4,69 ???+...+11,3 ???)=459,46 ???
????????? ?????????? ???????? ????? ????? ????????? ??????? ():
Q_p=?_??�?_(i=1,2,3,5,6)�(?_?i�P_?i�?tgf?_i ) +?_(i=1,2,3,5,6)�Q_???i = =0,81� (0,45�335 ???�1,02+ 0,25�50 ???�1,17+...0,8�120 ???�0,88)++(3,43 ????+1,41 ????+...+3,39 ????=319,48 ????
?? (3.2):
N_(?.min)^?=459,46/(0,7�1600)+?N_?=0,41+0,59=1
?? ????????, ??? ?????????? ??????????????? ? ??????? ?? ?? ??????? ????????????? ???????????????? ?? ????????????? ??????? ?????????? ????????????????. ??????? ? ????????? ????????? 2 ??????????????. ???????? ?????? ?????????????? ??????? ?? ???????:
S_(?.?)=P_p/(?_(?.?)�N_(?.min)^? ),(3.3)
??? N_(?.min)^?- ??????????? ????? ??????????????? ?? ??????? ?????????? ????????????????, N_(?.min)^?=2.
?? ??????? (3.3):
S_(?.?)=(459,46 ???)/(0,7�2)=328,2 ???
?? [12, ????.1] ????????? ??? ????????? ? ??????? ?? ??? ?????????????? ???? ??? ??????????? ????????? 400 ???.
?????????? ?????????? ????????, ??????? ?????????????? ????? ?????????? ?? ???? ??????????? ???????????????? ??????????? ? ???? ??????????? 0,4 ?? ????????? ?? ??????? [?????,??????,???????? "???????????????? ??", ??????? ??????? ? ????????? ??????????????, 1985, ?.4.22]:
Q_1?=v(?(n_i�?_(?.?)�S_(?.?))?^2-?P_p?^2,)(3.3)
??? n_i- ????? ??????????????? ??????? ??;
?? ??????? (3.3):
Q_1?=v(?(2�0,7�400)?^2-?(459,46)?^2 )=320,15 ????.
????????? ?????????? ?????????? ????????, ??????? ?????????????? ?? ???????? ??????????, ?????? ???????? ????????? ?????????? ???????? ??????? ??, ?? ?????????? ???????? ??????????????? Q1 ???????? [10, ?.4.23] ??????????? ?????? Q1=Q?=319,48 ????. ? ???? ?????? ???????? ?????????????? ?????????, ??????????????? ?? ??????? 0,4 ?? ??????? ??, ???????????? ?? ???????: [10, ?.4.24]:
Q_?=Q_?-Q_1(3.4)
?? (3.4):
Q_?=319,48-319,48=0 ????
???????????? ???????? ??????????????? ? ?????????? ? ?????????????? ??????? ????? ???? ??????? ???????? [10, ?.4.25] ?? ????????:
?_(?.?)=v(?(P_?)?^2+?(Q_1)?^2 )/(n_i�S_(?.?) ),(3.5)
?_(?.?)=(S_(?.?)�n_i)/(?(n?_i-1)�S_(?.?) ),(3.6)
??? S_(?.?)- ?????? ????????? ????????, ???????????? ?? ???? ????????????? ??.
??? ??-1:
S_(?.?)=v(?(P_?)?^2+?(Q_1)?^2 )/n_i ,(3.7)
?? (3.7):
S_(?.?)=v((459,46)^2+?(319,48)?^2 )/2=559,62/2=279,81 ???.
?? (3.5):
?_(?.?)=v((459,46)^2+?(319,48)?^2 )/(2�400)=559,62/800=0,699516�0,7,
?? (3.6):
?_(?.?)=(279,81�2)/((2-1)�400)=1,399031�1,4
????????? ????????? ???? ? ????????? ????????? ??? ?????????????? ???-450, ?????? ?? [12, ????.2] ? ??????? 3.1
??????? 3.1- ????????? ????????? ???? ? ????????? ????????? ?????????????? ???-400
?P??, ????P??, ???I??, %U?, %0,955,52,14,5 ?????? ???????? ? ?????????? ???????? ? ??????????????? ????? ????? ?? ????????? ????????:
??P?_?=n_i�?(?P?_??+?(?_(?.?))?^2�??P?_??),(3.8)
??Q?_?=?(n_i�S_(?.?))/100�(I?_??+?(?_(?.?))?^2�U_?),(3.9)
?? (3.8):
??P?_?=2�(0,95+(0,699516)^2�5,5)=7,28 ???;
?? (3.9):
??Q?_?=(2�400)/100 (2,1+(0,699516)^2�4,5)=34,42 ????.
???????? ? ?????????? ???????? ??????????????, ???????????? ??-1 ?? ???? ???????????????? ????????????????, ????? ???? ?????????? ?? ????????:
P_(?.??-1)=P_p+??P?_?,(3.10)
Q_(?.??-1)=Q_1+??Q?_?.(3.11)
?? (3.10):
P_(?.??-1)=459,46 +7,28=466,74 ???;
?? (3.11):
Q_(?.??-1)=319,48+34,42=353,9 ????;
?????? ????????, ???????????? ??-1 ?? ???? ???????????????? ????????????????, ????? ???? ??????? ?? ???????:
S_(?.??-1)=v(?(P_(?.??-1))?^2+?(Q_(?.??-1))?^2 ).(3.12)
?? (3.12):
S_(?.??-1)=v(?(466,74)?^2+?(353,9)?^2 )=585,74 ???.
?????????? ????????????? ???????????????? ??????? ????? 1,2,3,5,6 ?? ??-1, ????????????? ? ???? ? 3. ???????? [10, 1985, 4.5] ??????? ?? ???????? ?? ? ????????? ??? ? ???? ???????????? ???????, ???? ??????????? ??????????? [10, ?. 4.28]:
S_?�l<15000 ???�?,(3.13)
??? S_?- ?????? ????????? ???????? ????, ???;
l- ?????????? ?? ??? ???? ?? ???????? ??, ?.
????? ?????????? ?????????? l ?? ??? ????? 1,2 ? 5 ?? ??-1 ? ???? ? 3, ????????? ????????? ?????????? ?? ????? ???????????.
???????????????? ?????????? ??-1 ????????? ? ???? ? 3 ??? ????? ????? ? ?????? ???????? ????? 1-6. ??? ??????????- ????????????. ?????????? ??-1 ?? ????? ???????????:
X_??1=356,3 ?; Y_(??-1)=171,03?
?????????? ???-1, ?????????????? ? ???? ? 2:
X_(???-1)=352,13 ?; Y_(???-1)=234,62?
????? ????????? ?????, ??????????? ??-1 ? ???1: l_(??-1;???-1)=71,5+10=81,5 ?
????????? ???????? ???? ? 2: S_?=28,15 ???.
?? (3.13):
28,15 ???�81,5 ?=2294,23 ???�?<15000 ???�?
?????? ???????? ????????????? ???????????????? ??????? ????? 1,2,4-6 ????? ???-1...???-4 ?? ??-1 ????????? ? ??????? 3.2:
??????? 3.2
?????????? ???????? ???????? ????, ? ??????? ?????????? ???S?, ???l??-???, ?S?�l, ???�??, ?Y, ?352,13234,621228,1581,52294,23411,53174,3821204,356112465,35313,3171,563592,9461,25687,93318,63127,3646138,799413046,26 ?????????? ???? ??????? ?????????????? ??????? ?? ????????? ?????. ?????????? ?????? ????????? ? ??????? 3.3
??????? 3.3
? ???????????? ????? ? ???????????? ???? ????????? ?? ?? ?????????? ???????????.??, ???Q?, ????S?, ???F?, ?2s, ???/?2S?.?, ?????? ??-??S?.? , ???ni, ??.K?.?iQ1?, ????123456789101112131411. ??????????? ???????22. ????? ???. ?????????33. ???????? ???????2198,51176,10265,36625,40,425. ?????36. ????????????? ???????2?????459,46319,48559,611600???40020,7320,1524. ????? ??????? ?????????37. ????????????????? ???21607,811611,802276,612585,50,88?????1734,331740,232456,891600???125020,7233,67311. ?????312. ???2433,58516,57674,41333984,80,1713. ????????????????2?????512,134564,236761,99971000???40020,7226,5448. ?????????????? ??? 122961,533415,044520,304037,31,122500???250020,71865,3059. ?????????????? ??? 222396,933129,593942,034754,40,832500???200020,71447,31610. ??????????????? ???22829,023224,894289,906212,40,692500???250020,72060,73????? ?? ??????? ?? ??????????? ??????? 3.3
? ??Q1, ???????????? ??, Q?-Q1, ??????.?.??.?.?P??, ??? ?P??, ??? I??, %U?, %?P?, ??? ?Q?, ???? P?+?P?Q1+?Q??????? ????????, ???????????? ???????????????? S?, ???1151617181920212223242526271 ?????319,4800,71,40,955,52,14,57,2834,42466,74353,89585,742 ?????233,671506,550,71,42,6510,81,24,815,8888,81750,21322,471779,673 ?????226,54337,700,71,40,955,52,14,57,2934,44519,42260,98581,300341865,301549,740,71,43,75240,8631,021872992,552052,303628,6851447,311682,280,71,43,7516,514,823,67134,082420,601581,392891,3962060,731164,150,71,43,75240,8631,021872860,042247,733637,60????? ?? ??????? ??129,83
?????? ???????? ????????????? ???????????????? ??????? ???? 4 ????? ???-5 ?? ??-2 ? ????? 11? 13 ????? ???-6 ? ???-7 ?? ??-3 ????????? ? ??????? 3.4:
??????? 3.4
????? ??????? ???????????? ???????? ???????? ????, ? ??????? ?????????? ???S?, ???l??-???, ?S?�l, ???�??, ?Y, ?2277,80217,4554266,03287448,84378,7066,8361157,08633596,0442,74137,78713136,4557,37818,6 ?????????? ??????? ?? ?? ???????? ??????????? ???????????? ?? ??????? 3.1.
??????? 3.1
????? ?????????? ????? ???????? ???????????????? ? ??????????????? ??????? ????????????? ??????????
???????? ?????????? ??????? ??????? ????????????? ?????????? ??????????? ???????????? ???????? ?????????? ?????????? ???????, ???????? ?????????? ?? ???, ??????????? ?? ??? ?? ???? ??????????, ???????????? ?????????? ????????? ????? ??? ???????? ?????????????? ? ??????? ?????????. [10, 4.6]
???????? ????????????? ?????????? ????? ??????? ?? ???????????? ??????? ?????? [10, ?. 4.29]:
U_???=4,34v(l+0,016�P_(?.?),)(4.1)
??? l- ????? ???????? ??? ?????. ???????? ???????? ?????? l=1,5 ??.
P_(?.?)- ????????? ???????????? ???????? ???????? ??????????? ?? ??????? ??????? ?????????? ???, ??? [5, 3.3.6]:
P_(?.?)=?_(?.?)�[?_(?.??)+?�?_(?.??) +?P_?S ]+P_(?.?),(4.2)
??? ?_(?.?)- ??????????? ??????????????? ??????????. ?????? ?? ??????? 2 ??? ??? ?? ??? ?_(?.?)=0,9;
?_(?.??)- ????????? ???????? ????????????? ???????? ??????? ??. ?? ??????? 2 ????????, ??? ?_(?.??)=10721,5 ???;
?�?_(?.??) - ????? ????????? ???????? ????????? ?????????????? ?????????????????. ?? ??????? 2 ????????, ????�??_(?.??)=? ?_(?.??)+?_(?.??)=
=1764+3200=4964 ???;
P_(?.?)- ????????? ???????? ???????? ????????? ???????????, ?????????? ????????????? ? ???????? ?????????. ?? ??????? 2 ????????, ??? P_(?.?)=558,89 ???;
?P_?S- ????????? ?????? ???????? ???????? ? ??????????????? ??????? ??. ?? ??????? 3 ????????, ??? ?P_?S=116,17 ???. ?? ??????? (4.2): P_(?.?)=0,9�(10721,5 ???+4964 ???+116,17 ???)+558,89 ???=
=14780,39 ???
?? ??????? (3.1):
U_???=4,34v(1,5+0,016�14780,39)=66,95 ??
???????? ???????? ?????? ?? ?????????? ????????????? ??????? ?????? ?????????? 35 ? 110 ??. ????????? ?????????? ???????????? ?????????? ????? ???????? ???????????????? ????????? ??????? ?? ????? ?? ????????? ?????????? ???????? ????????????????, ????? ????????????? ?????????? ???????? ???????????????? ????? ????????? ????? ???????-?????????????? ????????? ?????????.
?????? ????????? ???????? ???????????, ??????????? ??? ?????? ??????? ??????????????? ???, ????????? ??????????? ?? ??????? [10, ?.4.31]:
S_(?.?)=v(??(P?_(?.?))?^2+??(Q?_??)?^2,)(4.3)
??? Q_??- ???????????? ?????????????? ?????????? ???????? ?? ??????? ??????? ?????????? ???, ???????????? ???????????? ?? ????????????? [10, ?.4.32]:
Q_??=P_(?.?)�?tgf?_??(4.4)
??? ?tgf?_?? ????? 0,27 ??? ?????????? ???? 35 ?? ? ????? 0,31 ??? ?????????? 110 ??.
?? ??????? (4.4):
??? ?????????? ???? 35 ??: Q_??1=14780,39 ???�0,27=3990,71 ????;
??? ?????????? ???? 110 ??: Q_??2=14780,39 ???�0,31=4581,92 ????;
?? ??????? (4.3):
??? ?????????? ???? 35 ??: S_(?.?1)=v((14780,39 )^2+(3990,71)^2 )=
=15309, 66 ???;
??? ?????????? ???? 110 ??: S_(?.?2)=v((14780,39 )^2+(4581,92)^2 )=
=15474, 3 ???;
???????? ?????? ????????? ???????? ???????????? S?_(?.?1) ? S_(?.?2) ????????????? ? ??????????? ?? ?????? ?? ????? ???????? ?????????????? ???, ??????? ?????? ? ????? ???????????? ? ?????????? ???????? ?????????? ???????? ?? ???. [10, 4.6]
???????? ??????????????? ?? ???????????????????? ??? ???????????? ?? ??????? [10, ?.4.33]:
S_?=S_(?.?)/(n�?_(?.?) ),(4.5)
??? n- ?????????? ??????????????? ?? ???, n=2;
?_(?.?)- ??????????? ???????? ??????????????? ??? ? ?????????? ??????; ?_(?.?)=0,7.
?? (4.5):
S_?=(15474, 3 ???)/(2�0,7)=11053,07 ???=11 ???.
?? ???????????? ???? ????????? ??????????????? ?????????? S?_(?.?)=16 ???
???????-????????????? ??????????? ????? ???????? ???????????????? ???????????
??? ????????? ??????? 2 ???????? ????? ????????????????.
5.1 ????? ???????? ???????????????? ? ??????????? ???? 110 ??
????? ?? ?? ???- ??? ????? ?????-????????????? ? ???????????? (110-3?). ????? ?? ?? ???- ???? ???????????????? ???????????? ??????? ??? (10(6)-1). ? ???????? ?????????????? ??? ???????? ???-16000/110. [9, ????.2.108].
????????? ?????? ??????? ? ??????????????? ???. ????????? ??????????????? ???-16000/110 ????????? ? ??????? 5.1 [9, ????.2.108]
??????? 5.1
?P??, ????P??, ???I??, %U?, %18850,710,5
?????? ???????? ? ?????????? ???????? ???????????? ?? ????????, ??????????? (3.8) ? (3.9) [10, ?.4.34, ?.4.35].
?? ??????? (3.8):
??P?_?=2�(18+(0,7)^2�85)=119,3 ???;
?? ??????? (3.9)
??Q?_?=(2�16000)/100 (0,7+(0,7)^2�10,5)=1870,4 ????;
?????? ?????????????? ? ??????????????? ???????????? ?? ??????? [10, ?.4.36]:
?W_?=n�(??P?_??�T_?+(?_(?.?) )^2�??P?_??�t),(5.1)
??? n- ????? ??????????????? ?? ???;
T_?-????? ????? ? ????, T_?=8760 ?. .;
t- ??????? ????? ????? ???????????? ??????, ??????? ???????????? ?? ?????????[10, ?.4.37]:
t=?(0,124+T_?/?10?^4 )?^2�T_?(5.2)
??? T_?- ??????? ????? ????? ????????????? ???????????? ????????? ???????? ????????. ?? [9, ????.2.3] ??? ??????????????????? ??????????? T_?=3770 ?. ?? (5.2):
t=?(0,124+3770/?10?^4 )?^2�8760=2198,77 ?;
?? ??????? (5.1):
?W_?=2�(18�8760+(0,7)^2�85�2198,77)=498 517,4 ???�?.
?????????? ??? ?? ???????? ?????????? ????????????? ?? ??? ???????????. ???????? ? ?????? ????? ????????? ?? ??????? [10, ?.4.38]:
S_(?.?)=v(??(P?_(?.?)+??P?_?)?^2+??(Q?_??)?^2,)(5.3)
?? (5.3):
S_(?.?)=v(?(14780,39 +119,3)?^2+?(4581,92)?^2 )=15588,29 ???
????????? ??? ????? ???? ????? 110 ?? ????????? ?? ??????? [?????,??????,????????, ?.4.39]:
I_(?.?)=S_(?.?)/(v3�N�U_? ),(5.4)
??? N- ????? ????? ?????, N=2;
U_?- ??????????? ?????????? ????; U_?=110 ??.
?? (5.4):
I_(?.?)=(15588,29 ???)/(v3�2�110 ??)=40,91 ?;
??? ????? ???? ??? ? ?????????????? ?????? ???????????? ?? ??????? [10, ?.4.40]: I_?=2�I_(?.?).(5.5)
?? (5.5):
I_?=2�40,91=81,82 ?.
???????? [10, 4.7] ??????? ???????? ?? ??????? ?? ????????????? ????????? ???? ?? ??????? [10, ?. 4.40]:
F_?=I_(?.?)/j_? ,(5.6)
??? j_?- ????????????? ????????? ????, ?/??2. ???????? [13, ????.1.3.36] ????????????? ????????? ???? ??? ??????????????? ??????????? ???????? ??? T_?=3770 ?. ????????? j_?=1,1 ?/??2.
?? (5.6):
F_?=(40,91 ?)/(1,1 ?/????^2 )=37,19 ????^2,
?????? ?? ???????? ?????? ??????????? ??????? ??????? ?? 110 ?? ?????????? 70 ??2. ??????? ? ???????? ???????? ?? ?? ???????? ?????????? ????????????? ?? ??? ??????????? ????????? ??????? ? ???????? F=70 ????^2. ????????? ??????? [14, ????.7.33, 7.38]: ????????? ?????????? ??? I?=265 ?; ???????? ???????? ? ??????????? ?????????????: r0=0,428 ??/??; x0=0,444 ??/??.
?????? ?????? ???? ???????? ?? ??????? ? ?????????????? ?????? [?????,??????,????????, ?. 4.42]:
I_?>I_?(5.7)
?? (5.7):
265 ?>81,82 ?.
?????? ???????? ??????? ? ???????? ?? ??? [?????,??????,????????, ?. 4.43]:
?W_?=N�(3�?(I_(?.?))?^2�r_0�l�t)�?10?^(-3),(5.8)
?? (5.8):
?W_?=2�(3�?(40,91 ?)?^2�0,428�1,5�2198,77)�?10?^(-3)=14 174,13 ???�?
?????????? ???? ????????? ????????? ? ?????? ????????? ????? ?? ???????? ?????????? ????????????? ? ?? ?????? ???. ????? ??? ??????? ????? ?? ???????????? ?? ??????? 5.1 ??????? 5.1
???????? ???????? ??????, ???????? ????????? ????????? ?? ????? ?????????? ????????????? 110 ?? S?=2520 ???. ?????? ????? ?? ????? ??????????? ? ????????????? ????????. ??? ????? ?????? ? ???????? ???????? S?=1000 ???, U?=115 ??.
????????????? ??????? ? ????????????? ???????? ???????? [10, ?. 4.44]
X_(?*)=S_?/S_? ,(5.9)
?? (5.9):
X_(?*)=1000/2520=0,397
????????????? ????????? ????? ????????? ?? ???????: [10, ?. 4.46]:
X_(?*)=(x_0�l�S_?)/??(U?_?)?^2 (5.10)
?? (5.10):
X_(?*)=(0,444�1,5�1000)/?(115)?^2 =0,05
??? ????????? ????????? ????? 1 ????? [10, ?. 4.48]:
I_?1=I_?0=I_?/X_(c*) =S_?/(v3�U_?�X_(?*) ),(5.11)
??? I_?01- ??????????? ???????? ????????????? ???????????? ???? ?? ? ????????? ?????? ???????.
?? (5.11):
I_?1=1000/(v3�115�0,397)=12,65 ??,
??? ?? ? ????? 2 ????????? ?? ???????:
I_?2=I_?0=S_?/(v3�U_?�?(X?_(?*)+X_(?*))),(5.12)
?? ??????? (5.12):
I_?2=1000/(v3�115�(0,397+0,05))=11,23 ??
??????? ??? ????????? ????????? ????????? ?? ??????? [10, ?. 4.49]:
i_??=v2�?K_?�I?_?,(5.13)
??? K_?- ??????? ???????????. ???????? [9, ???? 2.45] ??? ????? ?? 1 ? 2 ??????????????: ??1=1,72, ??1=1,8.
?? ??????? (5.13):
i_??1=v2�1,72�12,65=30,77 ??,
i_??2=v2�1,8�11,23=28,58 ??.
?????????????? ???????????? ???? ?? ????????? ?? ??????? [10, ?. 4.49]:
i_?t=v2�I_?�e^(-t/T_? ),(5.14)
??? T_?- ?????????? ??????? ????????? ?????????????? ????????????. ?? [9, ????. 2.45] ??? ????? ?? 1 ? 2:
T_?1=0,03 ?; T_?2=0,05 ?. ??????? ?????????????? ?????????? ? ?????? ????????? ????? ?? ?????????? ????????????? ? ?? ????? ???. ??? ??????????? ??????????? ????????? ? ??????? ???-??? ?(?). [15] ? ????????? ? ??????? ?????? ???-??? ?(?) ????? ???? ?????? ??????????? ???-110II*-40/2500 ???1. ???????? ?????? ??? ??????????? ?? ??????????? ?????????? ? ???????? ???????????? ????????? ????? ?? ?????????? ????????????? ? ?? ????? ???.
???????? [10, ?.4.49] ????? ? ???????? ???????????? ???????????? ?? ????????? ??????????:
?? ???????????? ?????????? [10, ?. 4.51]:
U_c=U_?,(5.15)
???????? ??????? (5.15) [16, 3.1]: 110 ??=110 ??;
?? ???????????? ???? [10, ?. 4.52]:
I_(???.????)=I_?,(5.16)
??? I_(???.????)- ??????? ??? ??????????? ? ???????? ??????? ?????? [?????,??????,????????, 1985, ?. 4.53]:
I_(???.????)=(1,4�S_(?.?))/(v3�U_? ),(5.17)
?? (5.17):
I_(???.????)=(1,4�16�?10?^6 ??)/(v3�110�?10?^3 ?)=117,6 ?
????????? ??????? (5.16) [16, 3.1]: 117,6 ?=2500 ?
?? ???????????? ???? ??????????????????? ?????????:
?) ????????????? [10, ?. 4.54]:
I_?0=I_???,(5.18)
??? I_?0- ????????? ???????? ????????????? ???????????? ???? ??. ??? ????? 1 ? 2 ?????????????? I_?01=I_?1=12,65 ??, I_?02=I_?2=11,23 ??;
I_???- ??????????? ???????? ????????????? ???????????? ???? ??????????????????? ?????????.
????????? ??????? (5.18) [16, 3.1]:
- ??? ???????????? ????????? ????? ?????????? ????????????? 12,65 ??=40 ??;
- ??? ???????????? ?? ????? ??? 11,23 ??=40 ??;
?) ?????????????? [10, ?. 4.55]:
i_??=i_(???.????),(5.19)
??? i_(???.????)- ?????????? ??? ???? ??????????????????? ?????????.
????????? ??????? (5.19) [16, 3.1]:
- ??? ???????????? ????????? ????? ?????????? ?????????????30,77 ??=102 ?? ;
- ??? ???????????? ?? ????? ??? 28,58 ??=102 ??;
?? ???????????? ???? ??????????:
?) ????????????? [10, ?. 4.56]:
I_?t=I_???,(5.20)
??? I_?t- ??????????? ???????? ????????????? ???????????? ???? ????????? ????????? ??? ??????? t. ????????? ????? ?? 1 ? 2 ??????? ? ?????????????? ???????????????, ?? ????? ???????, ??? I_?t=I_?0.
???????? ?????????? ??????? (5.20) [16, 3.1]:
- ??? ???????????? ????????? ????? ?????????? ????????????? 12,65 ??=40 ??;
- ??? ???????????? ?? ????? ??? 11,23 ??=40 ??;
?) ?????????????? [10, ?. 4.57]:
v2�I_?t+i_?t=v2�I_???�(1+�_?/100),(5.21)
??? �_?- ?????????? ?????????? ?????????????? ???????????? ? ???? ????????? ?????????. �_?=f(t) [10, ??????? 4.5, ?.45]:
t=t_(?.???)+t_?,(5.22)
??? t_(?.???)=0,01 ? - ??????????? ????? ???????? ???????? ??????;
t_?- ??????????? ????? ?????????? ???????????. ???????? [??????? ??? 35,110,220, 3.1] t_?=0,035 ?.
?? (5.22):
t=0,01+0,035=0,045 ?
?? [10, ??????? 4.5] ??????????, ??? �_?=35 %, ??? ????????? ??? ??????? ??????????? (??????????? ????????????? ?????????? ?????????????? ???????????? ?? ????? 40%) [16, 3.1].
?? ??????? (5.14):
- ??? ???????????? ????????? ????? ?????????? ?????????????
i_?t1=v2�12,65�e^(-0,045/0,03)=3,99 ??
- ??? ???????????? ?? ????? ???
i_?t2=v2�11,23�e^(-0,045/0,05)=6,46 ??
???????? ??????? (5.21) [16, 3.1]: - ??? ???????????? ????????? ????? ?????????? ?????????????:
v2�12,65+3,99=21,88 ??=v2�40�(1+35/100)=76,4 ??
- ??? ???????????? ?? ????? ???:
v2�11,23+6,46=22,34 ??=v2�40�(1+35/100)=76,4 ??
?? ???????????? ???????? ????????????? ???? [10, ?. 4.58]
B_k ??=(I?_?0)?^2�(t_?+t_?+T_? )=I_???^2�t_???=B_(?.???), (5.23)
t_? - ????? ???????? ??????, ?????? ??????? ????????????? (1,8 ??? ???????????? ??? ? 2,1 ??? ???????????? ?????????? ????????????? (??. ?????? 7)).
??? I_???- ??? ??????????? ?????????. ?? [16, 3.1]: I_???=40 ??;
t???- ????? ?????????? ???? ??????????? ?????????. ?? [16, 3.1]: t???= 3 ?.
????????? ??????? (5.23):
- ??? ???????????? ????????? ????? ?????????? ?????????????:
?(12,65)?^2�(2,1+0,035+0,03)=346,45 ?(??)?^2�?=?(40)?^2�3=4800 ?(??)?^2�?,
- ??? ???????????? ?? ????? ???:
?(11,23)?^2�(1,8+0,035+0,05)=237,72 ?(??)?^2�?=?(40)?^2�3=4800 ?(??)?^2�?,
? ????????? ? ??????? ?????? ???-??? ?(?) ????? ???? ?????? ????????????? ?? ???-110/1250???1. [15] ???????? ?????? ??? ????????????? ?? ??????????? ?????????? ? ???????? ?????????????? ????????? ????? ?? ?????????? ????????????? ? ?? ????? ???.
???????? [10, ?. 45] ????????????? ??????????
?? ???????????? ?????????? [17] ?? ??????? (5.15):
110 ??=110??;
?? ???????????? ??????????? ???? (??????? (5.16)) [17]:
117,6 ?=1250 ?;
?? ??????????????????? ????????? (??????? (5.19)) [17]:
- ??? ???????????? ????????? ????? ?????????? ????????????? 30,77 ??=80 ?? ;
- ??? ???????????? ?? ????? ??? 28,58 ??=80 ??;
?? ??????????? ????????? (??????? (5.23)) [17]:
- ??? ???????????? ????????? ????? ?????????? ?????????????:
?) ??? ??????? ?????:
(12,65)^2�(2,1+0,035+0,03)=346,45 (??)^2�?=(31,5)^2�3=
=2976,75 ?(??)?^2�?,
?) ??? ??????????? ?????:
(12,65)^2�(2,1+0,035+0,03)=346,45 (??)^2�?=(31,5)^2�1=
=992,25 ?(??)?^2�?,
- ??? ???????????? ?? ????? ???:
?) ??? ??????? ?????:
(11,23)^2�(1,8+0,035+0,05)=237,72 (??)^2�?=(31,5)^2�3=
=2976,75 ?(??)?^2�?,
?) ??? ??????????? ?????:
?(11,23)?^2�(1,8+0,035+0,05)=237,72 ?(??)?^2�?=(31,5)^2�1=992,25 ?(??)?^2�?.
??? ?????? ???????????? ??? ?? ?????????????? ? ????????? ? ???-??? ?(?) ??????????? ???????????? ?????????????? ????-?-110 [15]
????????? ??????? ??????????? ??????? ???????? ????? ???????? ???????????????? ? ??????????? ???? 110 ?? [10, ?. 4.59]:
?=?_(i=1)^n�?E_i�K_i ?+C_?+?,(5.24)
??? E_i- ????? ????????? ?????????? ?? ??????????? ????????:
E_i=E_?+E_?i+E_?i,(5.25)
??? E_?- ??????????? ??????????? ?????????????; E_?=0,12
E_?i- ??????? ?? ????????????;
E_?i- ?????????? ?? ???????????;
K_i- ????? ??????????? ?????? i-? ?????? ?????????? ?????????.
C_?- ????????? ??????? ?????? ??????????????;
?- ????? ?? ????????? ????????????????, ?????????????? ??? ?????????, ????????????? ?? ??????????.
? ?????? ???????? ?????? ????? ??????????????? ????????????? ???????? ? ?????????? ? ?? ???????? ??????????? [10, ?. 46]
????? ??????????? ?????? ?? ??????? ??????? ???????????????? ????????? ?? ??????? [18, 1.6]:
K_i=K_?????�K_????�K_???,(5.26)
??? K_(?????.)- ??????????? ??????? ?? ??????? ???, ??????????? ? ?????????? ?????????? ? ???????? ?????? ??? ?? 2000 ?;
K_????- ??????????? ????????, ??????????? ??????? ??????? ??? ?? ????????? ?????? ???. ???????? [19] K_????=3,74;
K_???- ??????????? ?????????? ??? ? ??????????? ??????? ?? ????????????; K_???=1,18.
? [18] ????????? ??????????? ??????????? ?????????? ????????? ????? ??????????? ? ??????????????. ? ????????? ?????? ??????????? ?????????? ????????? ?????????????? ????????????, ??????????????, ??????????????? ????, ??????????????? ??????????, ???????????? ???????? ?????? ?????? ???????????, ???????????-????????? ????? ? ?.?. ? ????????? ????? ?????????????? ???????? ????????? ??????????????, ?????????? ?????????, ?????????, ???????????? ????????? ?????? ? ?.?. ???????, ????????? ?????? [18] ????? ??????????? ?????? ??????????? ?????? ?? ?? ????????? ????????? ????? ???????? ????????????????, ? ?? ??????? ???????????, ??????????????. ????? ????? ?????? ????????? ????????????? ?????????? ?? 110 ??, ??????????? ??? ? ??????????? ?????????????
?????? ???????????
?????????? ?????- 4 (2 ??????????? ?? ????????? ?????? ?????????? ????????????? ? 2 ??????????? ?? ????? ???). ????????? ?????? ??????????? ??????????? ???????? [18]- ??????=6580 ???. ???.
?? ??????? (5.26):
K=6580�3,74�1,18=29038,86 ???.???
???????? [6, ????. 2.1]: E_?=0,063; E_?=0,03.
?? ??????? (5.25):
E=0,12+0,063+0,03=0,213
????? ??????? ??????? ??????? E�K=4�0,213�38 656,8=24741,11 ???. ???.
?????? ??????????????
?????????? ?????- 2 (2 ?????????????? ?? ???). ????????? ?????? ?????????????? ????????? 16 ??? ? ? ?????? ??????????? 110 ?? ???????? [18] - ??????=5546 ???. ???.
?? ??????? (5.26):
K=5546�3,74�1,18=24475,61???.??? ?????????? ?????? ???????????: E=0,213
??????? ??????? E�K=2�0,213�24475,61=10426,61 ???. ???.
????????? ?????? ?????????????? ? ???????? ??? ???????? [10, ?. 4.60]:
C_?=?W�C_0^',(5.27)
??? C_0^'- ???????? ????????? ?????? ??????????????. C_0^'=2,318 ???/(???�?).
?? (5.27) ??? ??????????????:
C_??=498 517,4 ???�?�2,318 ???/(???�?)�?10?^(-3)=1155,6 ???.???
?? 110 ??
????? ??- 1,5 ??. ????????? ????????????? ?????? ????????? ?????????? ????? ??????????? 110 ?? ???????? [18] :
k_?????0=1495 (???.???)/??; ? K?_?????=k_?????0�l=
=1495�1,5=2242,5 ???.??? ?? (5.26):
K=2242,5�3,74�1,18=9896,6 ???.???
???????? [6, ????. 2.1]: E_?=0,028; E_?=0,004.
?? ??????? (5.25):
E=0,12+0,028+0,004=0,152
??????? ??????? E�K=0,152�9896,6=1504,28 ???. ???.
?? (5.27) ??? ??:
C_??=14 174,13???�?�2,318 ???/(???�?)�?10?^(-3)=32,9 ???.???
?????? ?????????? ???????? ??????? ??????????? ?????? ??? ???????? ????? ???????? ???????????????? ??????????? 110 ?? ? ??????? 5.2
??????? 5.2
???????????? ??????????????????? ????????????-??????????? ???????, ???, ???K, ???. ???EK�E, ???. ????W, ???� ?C? ???. ???1.?????? ?????????????.429 038,86116 155,44
0,213
24 741,11
--2.?????? ??????????????
??.224 475,61
48 951,22
0,213
10 426,61
498 517,4
1155,6
3. ?? 110 ????1,56597,73
9896,60
0,152
1504,28
14 174,13
32,9
?????36 672
512 691,56
1188,5
?? ??????? (5.24):
?=(24 741,11+10 426,61+1504,28)+(1155,6+32,9)=37 860,5 ???.???
????? ???????? ???????????????? ? ??????????? ???? 110 ?? ???????????? ?? ??????? 5.2
??????? 5.2
????? ???????? ???????????????? ? ??????????? ???? 35 ??
????? ?? ?? ???- ??? ????? ?????-????????????? ? ???????????? (35-3?). ????? ?? ?? ??? - ???? ???????????????? ???????????? ??????? ??? (10(6)-1). ? ???????? ?????????????? ??? ???????? ????-16000/35. [20].
????????? ?????? ??????? ? ??????????????? ???. ????????? ??????????????? ????-16000/35 ????????? ? ??????? 5.3 [20, ????.5] ??????? 5.3
?P??, ????P??, ???I??, %U?, %17850,710
?????? ???????? ? ?????????? ???????? ?????????? ?????????? ??????????? ????????
?? ??????? (3.8):
??P?_?=2�(17+(0,7)^2�85)=117,3 ???;
?? ??????? (3.9)
??Q?_?=(2�16000)/100 (0,7+(0,7)^2�10)=1792 ????;
?????????? ?????? ?????????????? ? ?????????????? ?? ??????? (5.1):
?W_?=2�(17�8760+(0,7)^2�85�2198,77)=480 997,4 ???�?.
?????????? ??? ?? ???????? ?????????? ????????????? ?? ??? ???????????. ???????? ? ?????? ????? ????????? ?? ??????? (5.3):
S_(?.?)=v(?(14780,39 +117,3)?^2+?(3990,71)?^2 )=15 422,94 ???
????????? ??? ????? ???? ????? 35 ?? ????????? ?????????? ?? ??????? (5.4):
I_(?.?)=(15 422,94 ???)/(v3�2�35 ??)=127,21?;
??? ????? ???? ??? ? ?????????????? ?????? ???????????? ?? ??????? (5.5)
I_?=2�127,21=254,42 ?.
??????? ???????? ?? ??????? ?????????? ?? ??????? (5.6)
F_?=(127,42 ?)/(1,1 ?/????^2 )=115,84 ????^2,
? ???????? ???????? ?? ?? ???????? ?????????? ????????????? ?? ??? ??????????? ????????? ??????? ? ???????? F=120 ????^2. ????????? ??????? [14, ????.7.33, 7.38]: ????????? ?????????? ??? I?=300 ?; ???????? ???????? ? ??????????? ?????????????: r0=0,249 ??/??; x0=0,414 ??/??.
?????? ?????? ???? ???????? ?? ??????? ? ?????????????? ?????? ?? ??????? (5.7):
300 ?>254,42 ?.
?????? ???????? ??????? ? ???????? ?? ??? ?? ??????? (5.8)
?W_?=2�(3�?(127,21)?^2�0,249�1,5�2198,77)�?10?^(-3)=79 733,03 ???�?
?????????? ???? ????????? ????????? ? ?????? ????????? ????? ?? ???????? ?????????? ????????????? ? ?? ?????? ???. ????? ??? ??????? ????? ?? ???????????? ?? ??????? 5.3 ??????? 5.3
???????? ???????? ??????, ???????? ????????? ????????? ?? ????? ?????????? ????????????? 35 ?? S?=490 ???. ?????? ????? ?? ????? ??????????? ? ????????????? ????????. ??? ????? ?????? ? ???????? ???????? S?=1000 ???, U?=37 ??.
????????????? ??????? ? ????????????? ???????? ?? ??????? (5.9)
X_(?*)=1000/490=2,041
????????????? ????????? ????? ????????? ?? ??????? (5.10): X_(?*)=(0,414�1,5�1000)/?(37)?^2 =0,45
??? ????????? ????????? ????? 1 ????????? ?? ??????? (5.11)
I_?1=1000/(v3�37�2,041)=7,65 ??,
??? ?? ? ????? 2 ????????? ?? ??????? (5.12):
I_?2=1000/(v3�37�(2,041+0,45))=6,26 ??
???????? [9, ???? 2.45] ??? ????? ?? 1 ? 2 ??????????????: ??1=1,72, ??1=1,8; T_?1=0,03 ?; T_?2=0,05 ?. ??????? ??? ????????? ????????? ????????? ?? ??????? (5.13): i_??1=v2�1,72�7,65=18,6 ??,
i_??2=v2�1,8�6,26=15,9 ??.
??????? ?????????????? ?????????? ? ?????? ????????? ????? ?? ?????????? ????????????? ? ?? ????? ???. ??? ??????????? ??????????? ????????? ? ??????? ???-??? ?(?). [15] ? ????????? ? ??????? ?????? ???-??? ?(?) ????? ???? ?????? ??????????? ????-35-25III/630 ???1. ???????? ?????? ??? ??????????? ?? ??????????? ?????????? ? ???????? ???????????? ????????? ????? ?? ?????????? ????????????? ? ?? ????? ???:
?? ???????????? ?????????? ?? ??????? (5.15) [21, ?.38]:
35 ??=35 ??;
?? ???????????? ???? ?? ??????? (5.17) ??????? ??? ??????????? ? ???????? ??????? ??????:
I_(???.????)=(1,4�16�?10?^6 ??)/(v3�35�?10?^3 ?)=369,5 ?
????????? ??????? (5.16) [21, ?.38]: 369,5 ?=630 ?
?? ???????????? ???? ??????????????????? ?????????:
?) ????????????? ????????? ??????? (5.18) [21, ?.38]::
- ??? ???????????? ????????? ????? ?????????? ????????????? 7,65 ??=25 ??;
- ??? ???????????? ?? ????? ??? 6,26 ??=25??;
?) ?????????????? ????????? ??????? (5.19) [21, ?.38]:
- ??? ???????????? ????????? ????? ?????????? ????????????? 18,6 ??=63 ?? ;
- ??? ???????????? ?? ????? ??? 15,9 ??=63 ??;
?? ???????????? ???? ??????????:
?) ?????????????
?????????? I_?t=I_?0.
???????? ?????????? ??????? (5.20) [21, ?.38]:
- ??? ???????????? ????????? ????? ?????????? ????????????? 7,65 ??=25 ??;
- ??? ???????????? ?? ????? ??? 6,26 ??=25 ??;
?) ?????????????? ???????? [21, ?.38] ??????????? ????? ?????????? ??????????? t_?=0,04 ?.
?? ??????? (5.22):
t=0,01+0,04=0,05 ?
?? [10, ???. 4.5] ??????????, ??? �_?=30 %.
?? ??????? (5.14):
- ??? ???????????? ????????? ????? ?????????? ?????????????
i_?t1=v2�7,65�e^(-0,05/0,03)=2,04 ??
- ??? ???????????? ?? ????? ???
i_?t2=v2�6,26�e^(-0,05/0,05)=3,26 ??
???????? ??????? (5.21) [21, ?.38]: - ??? ???????????? ????????? ????? ?????????? ?????????????:
v2�7,65+2,04=12,86 ??=v2�25�(1+30/100)=45,96 ??
- ??? ???????????? ?? ????? ???:
v2�6,26+3,26=12,11 ??=v2�25�(1+30/100)=45,96 ??
?? ???????????? ???????? ????????????? ???? ???????? [21, ?.38] ??? ??????????? ????????? I_???=25 ??; ????? ?????????? ???? ??????????? ????????? t???= 3 ?.
????????? ??????? (5.23):
- ??? ???????????? ????????? ????? ?????????? ?????????????:
?(7,65)?^2�(2,1+0,04+0,03)=126,99 ?(??)?^2�?=?(25)?^2�3=1875 ?(??)?^2�?,
- ??? ???????????? ?? ????? ???:
?(6,26)?^2�(1,8+0,04+0,05)=74,06 ?(??)?^2�?=?(25)?^2�3=1875 ?(??)?^2�?,
? ????????? ? ??????? ?????? ???-??? ?(?) ????? ???? ?????? ????????????? ????-???-2(1?)-35/1000???1. [15] ???????? ?????? ??? ????????????? ?? ??????????? ?????????? ? ???????? ?????????????? ????????? ????? ?? ?????????? ????????????? ? ?? ????? ???:
?? ???????????? ?????????? [22, ????.2] ?? ??????? (5.15):
35 ??=35 ??;
?? ???????????? ??????????? ???? (??????? (5.16)) [22, ????.2]:
369,5 ?=1000 ?;
?? ??????????????????? ????????? (??????? (5.19)) [22, ????.2]:
- ??? ???????????? ????????? ????? ?????????? ????????????? 18,6 ??=50 ?? ;
- ??? ???????????? ?? ????? ??? 15,9 ??=50 ??;
?? ??????????? ????????? (??????? (5.23)) [22, ????.2]:
- ??? ???????????? ????????? ????? ?????????? ?????????????:
?) ??? ??????? ?????:
?(7,65)?^2�(2,1+0,04+0,03)=126,99 ?(??)?^2�?=?(20)?^2�3=1200 ?(??)?^2�?,
?) ??? ??????????? ?????:
?(7,65)?^2�(2,1+0,04+0,03)=126,99 ?(??)?^2�?=?(20)?^2�1=400 ?(??)?^2�?,
- ??? ???????????? ?? ????? ???:
?) ??? ??????? ?????:
?(6,26)?^2�(1,8+0,04+0,05)=74,06 ?(??)?^2�?=(20)^2�3=1200 ?(??)?^2�?
?) ??? ??????????? ?????:
?(6,26)?^2�(1,8+0,04+0,05)=74,06 ?(??)?^2�?=(20)^2�1=400 ?(??)?^2�?.
??? ?????? ???????????? ??? ?? ?????????????? ? ????????? ? ???-??? ?(?) ??????????? ???????????? ?????????????? ???-?-35/40,5 [15, 23]. ??? ????????? ???? ? ????? ??????? ???????????? ??????????????? ?????????????? ???? ???-???-35-01-0,2s/0,5/10?-5/10/15-300/5 ?2. [34]. ??? ????????? ?????????? ?? ????? ??? ??????????????? ?????????????? ?????????? ????-???-35-1-0,5/3- 75/100 ?3 [15, 35].
????????? ??????? ??????????? ??????? ???????? ????? ???????? ???????????????? ? ??????????? ???? 35 ?? ??????????, ????????? ?????? [18] ????? ??????????? ?????? ??????????? ?????? ?? ??????? ???????????, ??????????????. ????? ????? ?????? ????????? ????????????? ?????????? ?? 35 ??, ??????????? ??? ? ??????????? ?????????????
?????? ???????????
?????????? ?????- 4 (2 ??????????? ?? ????????? ?????? ?????????? ????????????? ? 2 ??????????? ?? ????? ???). ????????? ?????? ?????????? ??????????? ???????? [18]- ??????=188 ???. ???.
?? ??????? (5.26):
K=188�3,74�1,18=829,68 ???.???
??????????: ???????????? 110 ?? E_?=0,063; E_?=0,03; E=0,213
????? ??????? ??????? ??????? E�K=4�0,213�829,68=706,89 ???. ???.
?????? ??????????????
?????????? ?????- 2 (2 ?????????????? ?? ???). ????????? ?????? ?????????????? ???????? [18] - ??????=3478 ???. ???.
?? ??????? (5.26):
K=3478�3,74�1,18=15349,11 ???.??? ?????????? ?????? ???????????: E=0,213
??????? ??????? E�K=2�0,213�15349,11=6538,72 ???. ???.
????????? ?????? ?????????????? ? ?????????????? ??????? ?? ??????? (5.27): C_??=480 997,4 ???�?�2,544 ???/(???�?)�?10?^(-3)=1223,66 ???.???
?? 35??
????? ??- 1,5 ??. ????????? ????????????? ?????? ????????? ?????????? ????? ??????????? 35 ?? ???????? [18]
k_?????0=1307 (???.???)/??;? K?_?????=k_?????0�l=1307�1,5=
=1960,5 ???.??? ?? (5.26):
K=1960,5�3,74�1,18=8652,08 ???.???
?????????? ?? 110 ??: E_?=0,028; E_?=0,004; E=0,152
??????? ??????? E�K=0,152�8652,08=1315,12 ???. ???.
?? (5.27) ??? ?? 35 ??:
C_??=79 733,03 ???�?�2,544 ???/(???�?)�?10?^(-3)=202,84 ???.???
?????? ?????????? ???????? ??????? ??????????? ?????? ??? ???????? ????? ???????? ???????????????? ??????????? 35 ?? ? ??????? 5.3
??????? 5.3
???????????? ??????????????????? ????????????-??????????? ???????, ???, ???K, ???. ???EK�E, ???. ????W, ???� ?C? ???. ???1.?????? ?????????????.4829,683318,72
0,213
706,89
--2.?????? ??????????????
??.215 349,11 30 698,22
0,213
6538,72
480 997,44
1223,66
3. ?? 35 ????1,55768,05
8652,08
0,152
1315,12
79 733,03
202,84
?????8560,72
560 730,47
1426,50
?? ??????? (5.24):
?=(706,89+6538,72+1315,12)+(1223,66+202,84)=9987,22 ???.???
????? ???????? ???????????????? ? ??????????? ???? 35 ?? ???????????? ?? ??????? 5.4
??????? 5.4
????? ???????????? ???????? ????? ???????? ???????????????? ???????????
??????????? ??????? ?? ??????? ????? ???????? ???????????????? ? ??????????? ???? 110 ?? ????????? ?_110=37 860,5 ???.???. ? ???? ??????? ??????????? ??????? ?? ??????? ? ??????????? ???? 35 ?? ????????? ?_35=9987,22 ???.???. ?????? ?? ????? ??????????????? ?????????? ??????????? ??????? ?????? ? ???????? ????? ???????? ???????????????? ? ??????????? ???? 110 ?? ?? ????????? ? ???????????? ???????? ????????? ???????? ????? ???????? ???????????????? ? ??????????? ???? 35 ??, ? ?????????? ????????? ??????? ????? ???????? ???????????????? ? ??????????? ???? 35 ??.
????? ???????? ?????????? ? ????? ??????????? ???????????????? ???????????, ?????? ???????? ?????
6.1 ????? ?????????? ????????? ? ???????? ?????? ??? ??????? ?????????? ? ??????? ?????????????? ????????????????? ? ??????????? ??????????? 6 ??, ? ???????? ?????????? ????? ??????????? ???????????????? ????????? 10 ??. [11, 5.3; 10, 4.8.1]
?????????? ????? ????????????????
???????? [11, 6.3.11, 6.3.11] ? ????? ?????????? ????? ???? ?????????? ?? ???? ??????????????? ????????? 1000 ??? ??? ??? ?????????????? ????????? 1600 ???. ??????? ???????? ?? ??, ??? ??? ?????? ??????? ?? ???? ??????? ?????????????? ? ???????????? ?????????? 400, 1250, 2000, 2500 ???, ? ????? ???????? ??????????????? ???????????? ??????? ??, ?????????? ???????? ????????????? ??????? ??????? ?? ?? ????????????? ??????, ?.? ??????????? ??????? ??, ?????????????? ??????????? ??????? ?? ????????????? ?????, ????? ??????????? ???????? ??????????????? ?????? 1600 ???.
???????? ??????????????? ????????????? ???????????? ?????????? ??????????????? ?????????????????? ? ????? 1 ? 6 (??????????? ? ????????????? ??????? ??????????????), ? ?????? ????? ????????????? ????????????????? ?????????? ?? 1 (??? ? 6) ? ??2. (??? ? 1).
????????????? ????? ???????????????? ??????????? ?? ?????????? 10 ?? ???????????? ?? ??????? 6.1
??????? 6.1
?????????????? ?????????? ????????????? ????
???????? ???????? ?????? ????? ??????????? ???????? ??????? ???????????? ???????????, ???????????? ?????????? ???? ? ??????, ? ????? ????????? ? ????????????? ??????. ???????? [36, ????. 3.48] ??? ?????????? ??????? ? ??????????? ???????? ????????? ??? ????????? ? ??????? ??? ??????? ????????????????? ??????? ????????????? ????????? ??????? ????? ???2??- ? ???????????? ?????? ? ??????????? ?????????, ????? ?? ???????????? ??????? ????????, ?????? ??????? ??????? ???????? ??????, ? ??????? ??? ?????? ??????? 2 ???? ?? ????????????? ????, ??????????????????? ???????? ????????. ?? ???????? ????????? ?????, ?????????? ?? ?????, ?????? ????????? ? ??????. ?????? ???????? ?????
?????? ???????? ????? ??????? ?? ??????? ??????? ????????? ?????, ???????? ??1. (??1) ????????? ??? ????????? ????? ? ?????????? ?????? ????????? ?? ???????? [10, ?.4.62]:
I_(?.?)=S_(?.?)/(v3�U_? ),(6.1)??? S_(?.?)- ????????, ??????? ?????? ???????????? ?? ????????? ????? ? ?????????? ??????. ????????? ??-1 ???????? ?? ???????? ?????????? ?? ???? ?????? ??? ??? ?? ???? ????????? ??????, ?? ? ???????? S_(?.?) ????????? ???????? ?????? ?????????????? ??-1 ? ?????? ??????. ?? ??????? 3 ????????, ??? S_(?.??-1)=585,74 ???. ???????? S?_(?.?)=S_(?.??-1)/2=(585,74 ???)/2=292,87 ???.
U_?- ??????????? ?????????? ????. ??? ??1 U_?=10 ??.
?? (6.1):
I_(?.?)=(292,87 ???)/(v3�10 ??)=16,9 ?,
??????? ????????? ????? ?? ??????? [10, ?.4.63]:
F_?=I_(?.?)/j_? ,(6.2)??? j_? - ????????????? ????????? ????. ?? [13, ????. 1.3.16] j_?=1,4 ?/????^2 ;
?? (6.2):
F_?=16,9/1,4=12,07 ????^2;
?? [6, ????.21.4] ???????? ??????????? ??????? ? ?????????????? F_??=16? ???^2 ? ????????? ?????????? ??????????? ?????? I_???=75 ? ? I_???=46 ? ??? ??????, ???????????? ? ????? ? ? ??????? ??????????????. ???????? ??, ??? ?????? ?????? ????????? ????? ???????? ?????????? ????? 10 ? ? ?????, ????????? ????????? ?????????? ??? ?? ????????? ???????? ????????? (? ???????). ???????? ?????????? [13, 1.3.20] ????????? ?????????? ??? ????????? ?????????? ??? ? ?????? ??????? ????????? ???????????? ?? ??????? [10, ?.4.64]:
I_???^'=K_?�K_t�I_???=I_(?.?)/n_? ,(6.3)??? K_?- ??????????? ??????????? ?? ????? ??????????? ?????????????? ???????. ???????? ??, ??? ?? ????? ?? ???????? ? ?????? ????????? 6 ???????, ??????? ?????? ??1, ?? [13, 2.3.86, ????. 1.3.26; 37, ????. 21.12] K_?=0,75;
K_t - ??????????? ??????????? ?? ??????????? ?????, ? ??????? ???????? ??????. ???????? ???????? ??????, ????????? ??????????? ??????????? ??????? ????? 28,8 ??. ?? [37, ????. 21.2] ??? ????????????? ??????????? ???, ????????? ???????? ????????????, ???????: K_t=1-(1-0,94)/(30-25) x
x(28,8-25)=0,954.
n_?- ????? ??????????????? ??????? ? ????????? ?????. n_?=1. ?? (6.3):
I_???^'=0,75�0,954�46=32,9 ?=16,9 ?;
?????????? ?????????? ?????? ? ?????????????? ?????? ???????????? ?? ??????? [10, ?.4.65]:
I_??^'=K_??�I_???^'=I_??/n_? ,(6.4)??? K_?? - ??????????? ??????????, ??????? ???????????? ?? [37, ????. 21.1]. ??????????? ??????????????? ???????? ?????? K_(?.??)=I_(?.?)/(I_???^' )=(16,9 ?)/(32,9 ?)=0,51. ????? ?????????? 6 ????? (??? ??????????? ?????? ?????????????? ??1 ? ?????????????? ??????). ??????? K_??=1,15;
I_??- ???????? ?? ?? ? ?????????????? ??????. ???????? [10, ?.55] I_??=2�I_(?.?)=2�16,9 ?=33,8 ?.
?? ??????? (6.4):
I_??^'=1,15�32,9=37,8 ?=33,8 ?,
?????? ?????????? ? ????????? ????? ??????????? ?? ??????? [10, ?.4.66]:
?U=(P_?�r_0�l+Q_?�x_0�l)/(n_?�?(U_?)?^2 )�100%=??U?_???=5%(6.5)??? P_? ? Q_?- ????????? ???????? ? ??????????? ???????? ?? ????????? ?????. P_?=P_(?.??-1)/2=466,74/2=233,37 ???; Q_?=Q_(?.??-1)/2=353,9/2=176,95 ????
r_0 ? x_0 - ???????? ???????? ? ??????????? ????????????? ??????. ???????? [14, ????. 7.28] r_0=1,94 ??/??; x_0=0,113 ??/?? ;
l- ????? ????????? ?????, ??. l=0,109 ??
?? (6.5):
?U=(223,37�?10?^3 ??�1,94 ??/?? �0,109 ??)/(1�(10?�10?^3 ?)^2 )+
+(176,95�?10?^3 ???�0,113 ??/??�0,109 ??)/(1�(10?�10?^3 ?)^2 )�100%=
=49413,3/?10?^8 �100%=0,049 %=5%
?????????? ?????? ????????? ????????? ????? ????????? ? ??????? 6.1
??????? 6.1
???????? ?????? ?????P?, ???Q?, ????S?.?, ???U?, ??I?.?, ?j?, ?/??2F?, ??2F??, ??2??? ? ???-?? ???????????????????????? ?? ??????, ?I???, ?K?? ????.
??????? ?/??
??????1234567891011121314151. ???-??1233,37176,95292,871016,911,412,08162x???2??
(3?16)?????16,9133,82460,752. ??1-???122,0717,4828,150,440,63--10???2??
(4?10)?????40,63-4513.??1-???236,7835,4651,090,473,74--952????2??
(4?95)?????73,74147,481550,84.??1-???371,2559,6792,940,4134,15--120???2??
(4?120)?????134,15-2000,95.??1-???453,6444,0369,400,4100,17--1202x???2??
(2?1200)?????100,17200,332000,96.???-??2875,11161,24889,841051,371,436,70502x???2??
(3?50)?????51,37102,751050,97.??2-???592,7995,30133,020,4191,99--1852x???2??
(4?185)?????191,99-2600,858.???-??3259,71130,49290,651016,781,411,99252x???2??
(3?25)?????16,7833,5654,7419.??3-???642,1838,4557,080,482,39--95???2??
(4?95)?????82,39-165110.??3-???755,7539,3368,230,498,47--1202????2??
(4?120)?????98,47196,952000,911.???-??41496,271026,151814,3410104,751,474,82240 2????2??
(3?240)?????104,75209,50202,3112.???-??51210,30790,691445,691083,471,459,62150 2????2??
(3?150)?????83,47166,93154,7113.???-??51430,021123,871818,8010105,011,475,01240 2????2??
(3?240)?????105,01210,02202,31 ??????????? ??????? 6.1
???????? ?????? ?????KtI???', ?K??I'??, ?l, ??r0, ??/??x0, ??/???U, %116171819202122231. ???-??10,95432,911,1537,850,1091,940,1130,052. ??1-???10,95442,93--0,083,10,113,583.??1-???20,954118,301,25147,870,0610,3260,0780,564.??1-???30,954171,72--0,06120,2580,0760,885.??1-???40,954171,721,25214,650,0940,2580,0761,016.???-??20,95490,151,25112,690,0620,620,0830,037.??2-???50,954210,83--0,0280,0840,0370,1968.???-??30,95452,221,2565,280,2111,240,0910,079.??3-???60,954157,41--0,0630,3260,0780,6610.??3-???70,954171,721,25214,650,0580,2580,0760,6311.???-??40,954193,001,25241,240,1090,1290,0710,0312.???-??50,954147,581,25184,480,1220,2060,0740,0413.???-??50,954193,001,25241,240,2040,1290,0710,05
??????????? ??????? 6.1
???????? ?????? ?????P?, ???Q?, ????S?.?, ???U?, ??I?.?, ?j?, ?/??2F?, ??2F??, ??2??? ? ???-?? ???????????????????????? ?? ??????, ?I???, ?K?? ????.
??????? ?/??
??????12345678910111213141514. ???-??11600-774,921777,7810102,641,473,31185 2????2??
(3?185)?????102,64205,282350,7515. ??1-??4800-387,46888,891051,321,436,6625???2??
(3?25)?????51,32-65116.???-??2882777,8511761067,9-1,448,5095 2????2??
(3?95)?????67,90135,791550,7517.??2-??1441388,935881033,951,424,2516???2??
(3?16)?????33,95-461
???????? ?????? ?????KtI???', ?K??I'??, ?l, ??r0, ??/??x0, ??/???U, %1161718192021222314. ???-??10,954168,141,25210,180,0690,1670,0770,0115. ??1-??40,95462,01--0,0351,240,0990,0316.???-??20,954110,901,25138,630,1540,3260,0830,0517.??2-??10,95443,88--0,031,940,1130,03??????????? ??????? 6.1
?????? ????? ????????? ?????????
???????? [38, 2.1] ?????? ????? ?? ? ???????? ??????? ???????????? ? ??????? ?????? ??????? ??????.
??? ??????? ????? ?? ???????????? ???????? ????????? ????????????? ?????, ?? ??????? ???????????? ????????? ??????? ????? ?? (?????????????, ?????????? ? ??????????? ????????? ? ?.?.), ????????? ????? ?? ? ????? ????? ???? (?????????, ????????? ????? ? ?.?.). ??? ?????? ????????? ????? ??? ??????????? ????? ?? ?????? ??????????????? ????????? ??????, ??? ??????? ??????????? ????? ?? ?? ??? ???????? ???????? ???????. ????? ??????????? ??????? ??? ?? ???????? ????????? ????? ????????????????, ????? ???? ?? ??????????????? ??? ???????? ??? ?????????? ???????????????? ??????????? ??? ?????????? ??????? ? ???????? ?????????? ??????????? ? ?? ??? 10 ??. ??? ?????? ??????????????????? ? ???????? ??????? ?????????? ?????? ????? ?? ? ????????? ??????:
?1 ? ?2 - ? ????? ???????? ????????????????;
?3 - ? ?? 10 ?? ???;
?4 - ? ????????????? ???? ????, ??? ???????? ??? ???????? ???????? ?????? ???????? (??? ? 12 - ???). [38, 2.2]
???????? ?????????????, ???? ?????????? ?????????????? ????????????? ????? ??? ??, ?? ??????? ???????? ????????????? ????????, ?????????????? ?? ??????? 7.1
??????? 7.1- ?????????????? ????? ???
???????? [38, 2.2] ??? ??????????? ????? ?? ? ?????? ?1 ? ?2 ???????? ?? ?????????????? ?????????? ? ??????????? ??????????, ????????????? ?? ??????? ??????? ?????????? ???, ????? ?? ?????????. ??????? ???????? ????????????? ???????????? ????? ?? ? ??????? ????? ? ?????? ?1 ? ?2 ????? ??????? ?? ???????, ???????????? ? ?????????? 5.2:
I_?1=7,65 ??; i_??1=18,6 ?? I_?2=6,26 ??; i_??2=15,9 ??
???????? ?? ? ????? ?1 S?1=S?=490 ???. ???????? ?? ? ????? ????? ?? ????????? ?? ??????? [38, c.9]:
S_?=v3�U_??�I_?0,(7.1)??? U_??- ??????? ??????????? ???????? ??????? ?????????? ????? ??. ??? ????? ?1 ? ?2: U_??=37 ??.
?? ??????? (7.1) ??? ????? ?2:
S_?2=v3�37 ??�6,26 ??=401 ???,
??? ?????????? ???? ?? ? ????? ?3 ???????????? ????? ?????????. ??? ????? ?????? ? ???????? ???????? S?=1000 ???, U?=10,5 ??.
???????? [38, 2.3] ????????? ????????? ??????????????? ???, ?????????? ? ????????????? ????????, ??????????? ? ???????? ????????:
??? ????????????? E_?^''=1;
??? ?????????? ?????????? E_??^''=1,1;
??? ??????????? ?????????? E_??^''=0,9;
??? ??????? ??????????????? ?????????????, ?????????? ? ????????????? ????????, ??????????? ? ???????? ????????, ??????? ??? ????????? ????????? ?????????????? ????????????????:
?????????? ?????????: ???-1000-2 ? ??????????? ????????? P??? = 1000 ??? ? ??????????????? ?????????????? ?? ?????????? ??? x_d^''=12,8 % [9, ????. 2.48]; ???=95,8 % [39];
??????????? ?????????: ????4-560?-8? ? ??????????? ????????? P??? = 630 ??? ? ?????????? ????????? ???? ?_?=5,8; ???=94,7% [40]; ????????? ??????????????? ????????????? ??? ????????? ?????:
?????????????. ?? ??????? (5.9):
?X_1^''=X?_(?*)^''=1000/490=2,041
?? 35 ??. ???????? [9, ????. 2.41]:
?X_2^''=X?_(??35*)^''=(x_0�l�S_?)/??(U?_(??.???))?^2 (7.2)??? U_(??.???) - ??????? ??????????? ???????? ?????????? ???????, ?? ??????? ????????? ??. U_(??.???)=37 ??
?? ??????? (7.2):
X_2^''=(0,414�1,5�1000)/?(37)?^2 =0,454
????????????? ????-16000/35. ???????? [9, ????. 2.41]:
?X_3^''=X?_(?*)^''=(U_(?%)�S_?)/(100�S_(???.?) ),(7.3)??? U_(?%)- ?????????? ????????? ????????? ?????????????? ????-16000/35. ???????? ??????? 5.3 U_(?%)=10%;
S_(???.?) - ??????????? ???????? ?????????????? ????-16000/35. S_(???.?)=16 ???;
?? ??????? (7.3)
X_3^''=(10�1000)/(100�16)=6,25;
?????????? ????????? ???-1000-2. ???????? [9, ????.2.41] ??? ??????????? ?????????: ?X_4^''=X?_d^''�S_?/S_??? ,(7.4)??? ???????? ???????? ?????? S_???=P_???/(?�cosf)=1000/(0,958�0,9)=1160 ???.
?? ??????? (7.4):
X_4^''=0,128�(1000�?10?^3)/1160=110,34
??????????? ????????? ????4-560?-8?. ???????? [9, ????.2.41] ??? ??????????? ?????????: X_5^''=1/K_? �S_?/S_??? ,(7.5) ???????? ???????? ?????? S_???=P_???/(?�cosf)=630/(0,947�0,75)=887 ???
?? ??????? (7.5):
X_5^''=1/5,8�(1000�?10?^3)/887=194,38
????????? ?????. ??? ????????? ????? ??????????????? ????????????? ????????? ?????????? ?? ??????? (5.9).
???-??1
X_6^''=(0,077�0,069�1000)/?(10,5)?^2 =0,048;
??1-??
X_7^''=(0,099�0,035�1000)/?(10,5)?^2 =0,031;
???-??2
X_8^''=(0,083�0,154�1000)/?(10,5)?^2 =0,116; ??2-??
X_9^''=(0,113�0,03�1000)/?(10,5)?^2 =0,031;
?? ??????? 7.2 ???????????? ????? ????????? ??? ??????? ???? ?? ? ????? ?3.
??????? 7.2- ????? ????????? ??? ??????? ???? ?? ? ????? ?3
?? ??????? 7.3 ???????? ??????????????? ????? ?????????, ? ??????? ??????????? ??? ??????????????? ??????????? ?????????????.
??????? 7.3
???????????? ?????? 11 ? 12 ????? ???? ????????????? ? ????????????? ? ??????? ?????? [???????, ????. 2.43]:
E_S=(E_1/X_1 +E_2/X_2 )/(1/X_1 +1/X_2 ),(7.6)X_S=1/X_1 +1/X_2 ,(7.7)
??? E_1, X_1, E_2, X_2 - ??????????????? ??? ? ????????????? ?????? ? ?????? ????? ??????????????.
?? ???????? (7.6) ? (7.7):
??? ?????? 11 ? 12:
E_13=(E_11/X_11 +E_11/X_11 )/(1/X_11 +1/X_11 )=(2�E_11/X_11 )/(2�1/X_11 )=E_11=1,1; E_14=0,9 X_13=1/X_11 +1/X_11 =X_11/2=110,37/2=55,185; X_14=X_12/2=194,41/2=97,205
??????????????? ??????? ??????????????? ????? ????????? ???????????? ?? ??????? 7.4. ??????? 7.4
?????????? ??????????? ?????????????? ???????? ?? ??????? 7.5 ??????? 7.5
????????? ??????????? ???????? ????????????? ???????????? ???? ??????????? ?? ????????? ?? ???????:
I_?0=?�I_(?0i*) �I_?=?�(E_i^'')/(x_i^'' )�I_?,(7.8)??? I_(?0i*)=(E_Si^'')/(x_Si^'' ) - ?????????? ???????? ???? ??, ??????????? i-? ??????, ?????????? ? ????????????? ????????.
I_?- ???????? ???????? ????. ??? ????? ?3 I_?=S_?/(v3�U_? )=(1000 ???)/(v3�10,5 ??)=55 ??.
?? ??????? (7.8):
I_?0=(1,1/55,233+1,1/55,233+0,9/97,321+0,9/97,321+1/8,745)�55 ??=
=(0,02+0,02+0,0092+0,0092+0,114)�55=
=9,482 ??
??????????? ???????? ????????????? ???????????? ???? ??????????? ?? ? ????? ?3 ??? ?????? ??????? ??????? ????? ?????????? ?? ??????? [9, 2.19]:
I_?t=?_i�?I_?0i�??(t)?_i ?,(7.9)??? ??(t)?_i- ??? ????????????? ?(t)=1; ??? ????????????????? ??(t)?_i ???????????? ? ??????????? ?? ??????????? ?? ?? ??????? ????????? I_?0i/I_??? ?? ???????? [9, ???.2.23, 2.24].
?? ??????? (7.9):
I_?t=55 ??�(1/8,745+(2�1,1)/55,233�??(t)?_??+(2�0,9)/97,321�??(t)?_?? )=
=6,29+2,191�??(t)?_??+1,017�??(t)?_??,
???????? ?????????????? ???????????? ???? ?? ? ???????????? ?????? ??????? ????????? ?? ???????:
i_?t=?_i�i_?ti ,(7.10)??? i_?ti - ???????? ?????????????? ???????????? ???? ??,??????????? i-? ??????, ??????? ????????? ?? ???????:
i_?ti=v2�I_?0i�e^(-t/T_?i ),(7.11)??? T_?i - ?????????? ??????? ????????? ?????????????? ????????????. ??? ????????????? ? ????? K3 T_?c=0,12 ? [9, ????. 2.45]. ??? ??????????? ????????? ???-1000-2 ???????? [9, ????.2.48] T_???=0,032 ?. ??? ???????????? ????????? ????? ???? T_???=0,02 ? [9, 
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