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Unformatted text preview: EE 295  Homework 3. Solutions March 3, 2010 1 Readings 1. Chapters 5, 6 and 7 of Bergen & Vittal 2 From the textbook (Bergen/Vittal) 2.1 Problem 5.5 In this problem the feeder is a long medium voltage line (24kV), with Z F = 50+ j 400 feeding a step down transformer, which in turn feeds a 2.4kV load. The transformer impedance is Z T ( LV ) = 0 . 2+ j 1 (on the load voltage side). The load consumes 200kW at 0.9 lagging power factor. (a) Find the sending end voltage V s : V s = V R + IZ F = nV L + I ( Z F + Z T ( HV ) ) The problem is that we are given Z T ( LV ) not Z T ( HV ) . Therefore it is neccessary to do a conversion to get the transformer impedance reflected on the high voltage side, which we can do from the equations on pp.130131 in the book: Z T ( HV ) = Z T ( LV ) 1 n 2 = 20 + j 100 Now we can calculate the current in the circuit (reflected to the primary side) and solve: I = P ( nV L )0 . 9  cos 1 . 9 = 9 . 66  25 . 8 V s = nV L + I ( Z F + Z T ( HV ) ) = 26 .....
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This note was uploaded on 11/06/2011 for the course ECON 6545 taught by Professor Gully during the Spring '11 term at Temple.
 Spring '11
 gully

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