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    Question about Electrical Energy Conversion

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    A 100 kVA, 60 Hz, 7200/480 V, single-phase transformer has the following parameters (all expressed in ohms):

    RHV = 3.06
    RLV = 0.014
    XHV = 6.05
    XLV = 0.027
    Xm,HV = 17,809
    Re,HV = 71,400

    The transformer supplies a load that draws rated current at 0.75 power factor lagging at 480 V at the load. Sketch the approximate equivalent circuit for this transformer, and determine:

    a. the input voltage
    b. the efficiency
    c. the percent voltage regulation

    © BrainMass Inc. brainmass.com February 24, 2021, 2:33 pm ad1c9bdddf
    https://brainmass.com/physics/circuits/question-about-electrical-energy-conversion-28187

    Solution Preview

    1. Equivalent circuit for transformer:
    Where: R1=RHV =3.06 Ohm, X1 = XHV = 6.05 Ohm
    (Voltage Ratio k=E1/E2 = 7200/480= 15)
    R2' = (k*k)*RLV = (15*15)* 0.014 = 3.15 Ohm
    X2' = (k*k)*XLV = (15*15)* 0.027 = 6.075 Ohm
    Re = Re,HV=71400 Ohm, Xm = Xm,HV=17809 Ohm

    Since Re and Xm is so large, they can be ignored during the calculation. The equivalent circuit of transformer can be simplified as attached.

    2. The input voltage

    Since the transformer ...

    Solution Summary

    The solution contains two sketches for part (a) and calculations and explanations. The solution is 325 words.

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