Assignment1-2015

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    CONCORDIA UNIVERSITYDEPARTMENT OF ELETRICAL AND COMPUTER ENGINEERING

    ELEC 433/6461 – Power Electronics/Power Electronics IAssignment #1: Review of basic concepts and definitions

    Due date: September 28 2015 in the mailbox of Dr. Lopes (EV5.175).

    1) A 60 Hz three-phase induction motor draws 25kVA at 0.8 lagging power factor from a 220-V LL

    source. It is desired to improve the power factor to 0.92 by connecting a capacitor bank in parallel

    with the motor. A) Specify the required kVA (kVAr) rating of the capacitor bank. B) If the

    capacitor bank is ∆ -connected, find the value of the capacitors. C) Determine the line current

    before and after the addition of the capacitor bank. D) For a per-phase equivalent circuit, show

    the phasor diagram of the load current, capacitor current, source current and source voltage

    (reference phasor).

    2) A single-phase full-bridge diode rectifier was simulated with PSpice and the following results

    were obtained: 1) Waveforms of the ac side current, ac side voltage and dc side voltage; 2)

    Harmonic spectrum of the ac side current. Assuming that φ1 = 10 °, compute: a) The total rms

    value of the ac side current; b) The THD of the ac side current; c) The crest factor of the ac side

    current; d) The active, reactive and apparent power absorbed by the converter; e) The power

    factor and the displacement power factor of the converter.

    Time

    100ms 105ms 110ms 115ms 120ms 125ms 130ms 135ms 140ms 145ms 150msV(Rload :1 ) - V(Rload :2 ) V(Vs :+)

    -200V

    0V

    200VI(Ls)

    -40A

    0A

    40A

    SEL>>

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    Frequency

    0Hz 0.1KHz 0.2KHz 0.3KHz 0.4KHz 0.5KHz 0.6KHz 0.7KHz 0.8KHz 0.9KHz 1.0KHzI(Ls)

    0A

    4A

    8A

    12A

    16A

    (900.000,439.489m)

    (780.000,468.070m)(660.000,922.143m)

    (540.000,1.0312)

    (420.000,2.2032)

    (300.000,6.4795)

    (180.000,11.734)

    (60.000,15.348)