Solution Spring 2009 Exam 1 - ECE 430 Exam#1 Spring 2009 90...

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ECE 430 Exam #1, Spring 2009 Name: _____Solution_________________ 90 Minutes Section (Check One) MWF _______ TTH _______ 1. ________ / 25 2. ________ / 25 3. ________ / 25 4. _________ / 25 Total ________ / 100 Useful information ( 29 ( 29 sin cos 90 x x = - o V ZI = * S VI = 3 3 L L S V I φ θ = 0 180 (lag) 180 0 (lead) θ θ < < - < < o o 3 (delta) 3 (wye) L L I I V V φ φ = = /3 Y Z Z = 7 0 4 10 H/m μ π - = C S da = H dl J n C S da t = - E dl B n l A μ ℜ = MMF Ni φ = = ℜ BA φ = Li N λ φ = = 1 2 M k L L = 1 hp = 746 Watts
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1. (25 points) Three single-phase loads are connected in parallel. The load voltage is ( 29 v 283sin 120 load t π = . The load characteristics are: Load #1: 100 Amps at 0.8 power factor lag Load #2: 8 KW at 0.7 power factor lag Load #3: ( 29 5 2 j + The impedance of each of the two wires that serves this combination of loads is ( 29 0.1 0.1 j + . a) Find the total real and reactive powers provided by the source (10 points) b) Find the source voltage and current time domain quantities (10 points) c) Find the overall system power factor (5 points) 90 200 ) 120 sin( 283 - = = load load V t v π Load 1 characteristics: ( 29 87 . 126 100 87 . 36 90 100 1 - = - - = L I 87 . 36
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