Background Equations

Background Equations - TRANSFORMERS Ideal transformer...

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Ideal transformer voltage and current relations E 1 E 2 N 1 N 2 a 1 n I 1 I 2 N 2 N 1 1 a n Transformer modelling - impedance relations secondary winding impedance reflected to primary Z 2 N 1 N 2 2 Z 2 a 2 Z 2 primary winding impedance reflected to secondary Z 1 N 2 N 1 2 Z 1 n 2 Z 1 equivalent impedance seen at primary Z in Z 1 a 2 Z 2 a 2 Z load Impedance Diagram Representation Z 1, B V 1, B 2 S B and Z 2, B V 2, B 2 S B n 2 V 1, B 2 S B Efficiency P out P in 100% 1 P losses P in 100% Voltage Regulation VR V 1,serving rated load at rated voltage V 1,rated 1 100% LINE PARAMETERS Line inductance per phase and unit length L o 2 ln GMD GMR b if transposed GMD 3 D ab D bc D ac if bundled GMR b b r d 12 d 13 d 1 b r re r /4 o 2 2 10 7 henrys/meter Line capacitance per phase and unit length C 2  o
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Background Equations - TRANSFORMERS Ideal transformer...

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