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assignment1 - ECSE -462B Assignment 1 1. A balanced 500V,...

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ECSE -462B Assignment 1 1. A balanced 500V, 60 Hz 3-phase voltage supply feed a balanced 3-phase resistive load of 2 ohm each. The voltage across the 2 ohm resistor has to be 110V. Therefore, 3-phase voltage step-down transformers are needed. Three single-phase transformers of turns ratio N 1 :N 2 are available. What should N 1 :N 2 be for the wye/delta connections be for the arrangements below: 2 ohm (c) N 1 N 2 * * * + - - - + + * * * (d) 2 ohm * * * N 1 N 2 + - - - + + * * * 2 ohm + - - - + + (a) * * * * * * N 1 N 2 2 ohm + - - - + + (b) * * * N 1 N 2 * * *
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2. The a-phase voltage has a small 3 rd harmonic distortion, that is v a (t)=V 1 sin ω t+ V 3 sin3 ω t. Sketch the waveform of V 1 sin ω t (fundamental); the waveform of V 3 sin3 ω t (third harmonic) and the waveform of v a (t). The b-phase and c-phase voltages are: v b (t)= v a (t-2 π /3 ω ) and v c (t)= v a (t-4 π /3 ω ). Using the same time origin as v a (t) sketch the fundamental and third harmonics of the b-phase and the c-phase. Note that the
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assignment1 - ECSE -462B Assignment 1 1. A balanced 500V,...

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