A three-phase, four-wire unsymmetrical supply, with a phase sequence of ACB, supplies loads which are unequally distributed between the three phases. An analysis of the currents flowing in the direction of the loads shows that in line A, the positive phase sequence current is 24.5 ∠45° A and the negative phase sequence current is 12.5 ∠105°A. The current flowing back in the neutral is -j27 A. Determine the zero-phase sequence current  (Iao) in line A in polar form.  Determine the  current  (Ia) flowing in phase  A  of the load in polar form Determine the  current  (Ib) flowing in phase  B  of the load in polar form.  Determine the  current  (Ic) flowing in phase  C  of the load in polar form.

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 3.43P: Three single-phase transformers, each rated 10MVA,66.4/12.5kV,60Hz, with an equivalent series...
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A three-phase, four-wire unsymmetrical supply, with a phase sequence of ACB, supplies loads which are unequally distributed between the three phases. An analysis of the currents flowing in the direction of the loads shows that in line A, the positive phase sequence current is 24.5 ∠45° A and the negative phase sequence current is 12.5 ∠105°A. The current flowing back in the neutral is -j27 A.

Determine the zero-phase sequence current  (Iao) in line A in polar form. 

Determine the  current  (Ia) flowing in phase  A  of the load in polar form

Determine the  current  (Ib) flowing in phase  B  of the load in polar form. 

Determine the  current  (Ic) flowing in phase  C  of the load in polar form.

 

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