τυπολόγιο_βοβός_ανάλυση κυκ.doc

| Vp | а 90 3 |V | V BN = p �(-30� ) 3 |V | VCN = p �(-150� ) 3 V AN =

V AB =| Vp | а 120 = VAN - VBN VBC =| Vp | а 0

= VBN - VCN

VCA =| Vp | а 240 = VCN - VAN

| Vp | �(-90� ) 3 |V | = p а 30 3 |V | = p а 150 3

V AN = V AB =| Vp | а 240 VBC =| Vp | а 0 VCA =| Vp | а 120

VON =

V BN V CN

VAN YA + VBN YB + VCN YC YA + YB + VC

AB WA = Re � VAB I A* � � �=| VAB || I A | cos R A CB WC = Re � VCB I C* � � �=| VCB || I C | cos R C

tan j = 3

WA - WB W - WC W - WA = 3 B = 3 C WA + WB WB + WC WC + WA

Για ABC

tan j = 3

W - WB W - WC WB - WA = 3 C = 3 A WB + WA WC + WB WA + WC

Για CBA

Vabc = TV012

1 1 � T =� 1 a2 � � 1 a �

1� a� � a2 � �

V012 = T -1Vabc

1 1 � 1 T -1 = � 1 a 3� 2 � 1 a �

0 1 3 a = e j120 = cos(120 0 ) + j sin(120 0 ) = - + j = -0.5 + j 0.866 2 2

1� a2 � � a� �