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BYWEIQ-HW3 - EEL 3216 Introduction to Power Systems...

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EEL 3216 Introduction to Power Systems Homework # 3 CHAPTER 3 ( Problems 3-1, 3-2, 3-3, 3-4, 3-6, 3-7, 3-8, pp 154-157 in Textbook ) 1. The secondary winding of a transformer has a terminal voltage of v s ( t ) = 282.8 sin 377t V. The turns ratio of the transformer is 50:200 ( a = 0.25). If the secondary current of the transformer is i s (t) = 7.07 sin(377t í 36.87°)A , what is the primary current of this transformer? What are its voltage regulation and efficiency? The impedances of this transformer referred to the primary side are R eq = 0.05 ȍ R C = 75 ȍ X eq = 0.225 ȍ X M = 20 ȍ 2. A 20-kVA 8000/277-V distribution transformer has the following resistances and reactances: R P = 32 ȍ R S = 0.05 ȍ X P = 45 ȍ X S = 0.06 ȍ R C = 250 k ȍ X M = 30 k ȍ The excitation branch impedances are given referred to the high-voltage side of the transformer. (a) Find the equivalent circuit of this transformer referred to the high-voltage side. (b) Find the per-unit equivalent circuit of this transformer. (c) Assume that this transformer is supplying rated load at 277 V and 0.8 PF lagging. What is this transformer s input voltage? What is its voltage
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