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hw2s - EE341 Homework#2 Solution Problem 1 Consider a 3...

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1 EE341 Homework #2 Solution Problem 1: Consider a 3- φ distribution system as shown below: Compute the following: 1) The source voltage V S , if V R is to be maintained at 2.2 kV. 2) The source current and power factor at the source. 3) The total complex power supplied by the source. 4) How much reactive power should be connected to the source bus for obtaining unity power factor at the source bus? 5) Write Matlab code to solve the above problems. Please submit the Matlab code and the results. Solution: a) load #1: kVA j S o 87 . 36 33 . 33 ) 8 . 0 1 8 . 0 ( 3 100 2 , 1 = + = φ load #2: kVA j S o 79 . 31 33 . 33 ) 85 . 0 1 85 . 0 ( 3 85 . 0 / 85 2 , 2 = + = φ load #3: kVA j S o 41 . 41 20 ) 75 . 0 1 75 . 0 ( 3 60 2 , 3 = = φ b) Single phase equivalent circuit is shown as below: Source bus Load #1: 100 kVA p.f. = 0.8 lagging Load #2: 85 kW p.f. = 0.85 lagging Load #3: 60 kVA p.f. = 0.75 leading S V R V j5 j2 φ , S V φ , 1 S φ , 2 S φ , 3 S 1 I 2 I 3 I S I φ , R V 2 line Z 1 line Z

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