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Electrical power prob. involving more than 1 complex load and unknown source voltage

  1. Aug 30, 2012 #1
    1. The problem statement, all variables and given/known data

    Please view PDF for schematic of circuit and more information on loads.
    Load 1 is the 5 KVA load and Load 2 is the 10 KVA load. Loads 1 and 2 are operating at their rated voltages of 220 V rms.
    a) Find Load 1’s real and reactive power
    b) Find Load 2’s real and reactive power
    c) Find the current leaving the source
    d) Find the source’s real and reactive power and completely draw its power triangle
    e) Find the source’s power factor
    f) If a capacitive bank is placed on the source end, what reactive power should it provide so that the source operates at a power factor of 0.8 lagging.



    2. Relevant equations

    S=VI*=P+jQ
    V=IZ

    3. The attempt at a solution

    I have uploaded my attempt as a solution in PDF format. I am pretty sure everything is right, but part (f) confused me. I found the source's power factor to be 0.915 lagging. In order to decrease the power factor to 0.8 lagging we would need to add an inductor, but he states that it is a capacitive bank. Please provide me with any feedback and point out my mistakes if you find them. Thanks in advance for any help.

    I'm not asking for you to do my HW, as you can see I already did it. He doesn't even grade for correctness, just completeness and neatness.
     

    Attached Files:

  2. jcsd
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