ee341_h02_Wi2012

ee341_h02_Wi2012 - t p c b a(2 pts 2 If V =10 V I =10 A and...

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ECE 341 Homework #2 Winter 2012 Due: Wed. 25 Jan., in class (Total: 20 points) Problem 1: A test of basic concepts. For an inductor, the impedance is L j Z , if the current goes through the inductor is ) cos( 2 ) ( t I t i . 1. Calculate the Q and S of the inductor; (4 pts.) 2. Proof that for the inductor ) ( 2 sin ) ( t Q t p . (3 pts.) Note : ) ( t p is the instantaneous ac power, it is defined as ) ( ) ( ) ( t i t v t p Problem 2: The three phase voltage, current, and instantaneous power of a three phase power supply are defined as ) 3 / 2 sin( 2 ) ( ) 3 / 2 sin( 2 ) ( ) sin( 2 ) ( t V t v t V t v t V t v c b a , ) 3 / 2 sin( 2 ) ( ) 3 / 2 sin( 2 ) ( ) sin( 2 ) ( t I t i t I t i t I t i c b a and ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( t i t v t p t i t v t p t i t v t p c c c b b b a a a 1. Derive the equation: cos 3 ) ( ) ( ) ( VI t p t p
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Unformatted text preview: t p c b a (2 pts.) 2. If V =10 V, I =10 A, and 60 2 rad/s plot ), ( ), ( t p t p b a ) ( t p c , and ) ( ) ( ) ( t p t p t p c b a in the same graph for the cases a. 2 / (1pts.) b. 4 / (1 pts.) c. (1 pts.) Problem 3: Given the balanced positive-sequence three-phase system in the following figure, find ) ( 1 t v and ) ( 2 t i (8 pts.) Note : All the needed circuit parameters have already been identified in the circuit diagram....
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