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Transformer Examples

# Transformer Examples - EE 4420 Electric Machine Analysis...

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EE – 4420 Electric Machine Analysis Fall 2005 TRANSFORMERS Numerical Problems I. An ideal transformer 1. An ideal transformer with 6 turns in the primary winding for every turn in the secondary, can deliver continuously a 10 A current at 250V to a load. If the load is pure resistance, determine: (a) the primary voltage and current, (b) the power input to the primary, (c) the impedance seen at the primary terminals. VV a V V 12 2 6 250 1500 = = = = ' II I a A 2 10 6 167 == = = ' . PSV IV I a V I a VI W 111 2 2 2 22 250 10 2500 = = = = ⋅= '' a = 6 Ra V I LL ' === = 2 2 2 6 250 10 900 2. An ideal transformer connects the output of a stereo amplifier to a stereo speaker, as shown in figure below. Find the required ratio N N 1 2 when R L = 8 and R s = 48 in order to achieve maximum power transfer to the load At maximum power transfer RRa R s '2 a R R s L 2 48 6 6 1 2 62 . 4 6 N a N = v 1 N 1 :N 2 I’ 2 I 1

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II. Real transformer 1. A single-phase transformer rated at S = 20 kVA, V 1 = 6000 V, V 2 = 231 V, f = 50 Hz, was tested at no-load and short-circuit conditions. During the open-circuit test LV side was supplied and the readings are as follows: V o = 231V, I o = 8.5A, P o =191W. Short-
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Transformer Examples - EE 4420 Electric Machine Analysis...

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