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Δ―Y 変換 - bbiq.jp

Y Y Y Y Y (2-1) Y 2 (2-2) 2 A,B,C a,b,c, A,B,C a,b,c, (2-3) Y Y 2 A,B R1 R2 a,b 1 2 3 32132121)(rrrrrrRR+++=+ (1) B,C b,c 32131232)(rrrrrrRR+++=+ (2) C,A c,a 32121313)(rrrrrrRR+++=+ (3) (1) (2) (3) 321133221321rrrrrrrrrRRR++++=++ (4) (4) (2) 321311rrrrrR++= (4) (3) 321212rrrrrR++= Y Y (4) (1) 321323rrrrrR++= Y 2-4 R1 Y 321311rrrrrR++= R1

複雑な電気回路網を解く場合は、次のような 様々な計算法を用いて解くことができる。 1、 キルヒホッフの法則による計算法

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Transcription of Δ―Y 変換 - bbiq.jp

1 Y Y Y Y Y (2-1) Y 2 (2-2) 2 A,B,C a,b,c, A,B,C a,b,c, (2-3) Y Y 2 A,B R1 R2 a,b 1 2 3 32132121)(rrrrrrRR+++=+ (1) B,C b,c 32131232)(rrrrrrRR+++=+ (2) C,A c,a 32121313)(rrrrrrRR+++=+ (3) (1) (2) (3) 321133221321rrrrrrrrrRRR++++=++ (4) (4) (2) 321311rrrrrR++= (4) (3) 321212rrrrrR++= Y Y (4) (1)

2 321323rrrrrR++= Y 2-4 R1 Y 321311rrrrrR++= R1 r1,r2,r3 r1, r3 1 2 3 Y 3 2-5 Y Y (3-1) Y Y Y (2-3) Y A,B a,b C A B c ab C A B 3 1 2 13322121212131 RRRRRRRRRRRRR+++=++ R1 R1 1 1 ba1 1 1 1 1 1 3 3 3 3 3 3 1 1 ba c ab 2 3 3211rr+ 133221213211 RRRRRRRRrr+++=+ (5) B,C b,c A B C a bc 133221323111 RRRRRRRRrr+++=+ (6) C,A c,a B C A a bc 133221312111 RRRRRRRRrr+++=+ (7) (5) (6) (7)

3 133221321321111 RRRRRRRRRrrr++++=++ (8) (8) (5) 31332211 RRRRRRRr++= (8) (6) 11332212 RRRRRRRr++= (8) (7) 21332213 RRRRRRRr++= Y 3-3 Y Y Y Y Y R1 321311rrrrrR++= Y 321211111111 RRRRRr++= 133221311 RRRRRRRr++= 31332211 RRRRRRRr++= 1 2 3 R 3 (4-3) Y 1 1 R1 Y Y Y 1 R Y R Y R 3 C[F] Y 3C Y 3 1 C/3 (4-3) 1 C(F) / C Y Y 1 1/3 / C 3 1/ 3C 3C(F) Y 1 C(F) C/3(F) 3 Y 3 3 Y (4-1)Y Ea Eb Ec Vab Vbc,Vca Vab Ea Eb Vbc=Eb Ec Vca=Ec Ea (a) (b)

4 Vab Vbc,Vca Ea Eb Ec 30 3C(F) 3C(F) 3C(F) Vab 2 Eacos30 2 Ea 3/2 3Ea 3 E Y (9) E/3 Y E Y 3E E/3 E E E/3 E/3 (9) E