An ideal auto-transformer has its secondary winding labelled as a, b and c. The primary winding has 100 turns. The number of turns on the secondary side are 400 turns between a and b and 200 turns between b and c. The total number of turns between a and c is 600 turns. The transformer supplies a resistive load of 6 kW between a and c. In addition, a load of impedance 1,000 cis (45°) ohms is connected between a and b. For a primary voltage of 1,000 V, find the primary current and primary input power.

An ideal auto-transformer has its secondary winding labelled as a, b and c. The primary winding has 100 turns. The number of turns on the secondary side are 400 turns between a and b and 200 turns between b and c. The total number of turns between a and c is 600 turns. The transformer supplies a resistive load of 6 kW between a and c. In addition, a load of impedance 1,000 cis (45°) ohms is connected between a and b. For a primary voltage of 1,000 V, find the primary current and primary input power.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter3: Power Transformers

Section: Chapter Questions

Problem 3.1P: (a) An ideal single-phase two-winding transformer with turns ratio at=N1/N2 is connected with a...

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