ProblemSet8

ProblemSet8 - b) Defining T as in part a), prove that * *...

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1 Problem Set #8 The symmetrical components of unsymmetrical phasors 8-1 (Keyhani Lecture) Given = Z Z Z Z abc 0 0 0 0 0 0 Find Z 012 . 8-2 (Keyhani Lecture) Consider the circuit shown below. Suppose V an =100 0 ° , V bn =50 180 ° , V cn =50 180 ° , Z s =8+ j 10, and Z ab = Z bc = Z ca = j 4. a) Calculate I a , I b , and I c without using symmetrical components. b) Calculate I a , I b , and I c using symmetrical components. 8-3 (Keyhani Lecture) Frequently, T is defined as 2 2 1 1 1 1 1 3 1 a a a a When this is the case, T is unitary. a) Prove it. A matrix is unitary when its inverse equals its transpose conjugate.
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Unformatted text preview: b) Defining T as in part a), prove that * * 012 012 3 I V I V S T abc T abc = = . This result is called the invariance of power condition and makes a strong case for the corresponding definition of T. 2 8-4 (Keyhani Lecture) Three-phase system feeding a three-phase balanced load as shown: a) b) c) Compute I , I 1 , I 2 , and I a for part a, b, and c....
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ProblemSet8 - b) Defining T as in part a), prove that * *...

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