Shunt Elements

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    Loads on a distribution feeder

    Loads on a distribution feeder can be modeled as• Wye connected or

    • Delta connected.

    • The loads can be three phase, two phase, or single phase wdegree of unbalanced.

    • The ZIP models are:• Constant impedance (Z)

    • Constant current (I)

    • Constant real and reactive power (constant P)

    • Any combination of the above

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    Loads on a distribution feeder

    The specified load will bethe “maximum

    diversified demand.”

    • This demand can be specified as kVA and power factor, kW and pfactor, or kW and kVAr.

    • The voltage specified will always be the voltage at the low-voltagthe distribution substation.

    • The load models developed are to be used in the iterative proce

    power flow program where the load voltages are initially assume• The units of the complex power can be in volt-amperes and volts

    unit volt-amperes and per-unit voltages.

    • For all loads, the line currents entering the load are required in operform the power-flow analysis.

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    Wye Connected Loads

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    Constant Real and Reactive Power Load

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    Constant Impedance Loads

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    Constant Current Loads

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    Combination Loads

    Combination loads can be modeled by assigning a percentagtotal load to each of the three aforementioned load models

    • The total line current entering the load is the sum of the thrcomponents.

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    Delta Connected Loads

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    Constant Impedance Loads

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    Constant Current Loads

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    Combination Loads

    Combination loads can be modeled by assigning a percentagtotal load to each of the three aforementioned load models

    • The total delta current for each load is the sum of the threecomponents.

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    Line Currents Serving a Delta-Connecte

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    Two Phase and Single Phase Loads

    In both the wye- and delta-connected loads, single-phase anphase loads are modeled by setting the currents of the missphases to zero.

    • The currents in the phases present are computed using the appropriate equations for constant complex power, constanimpedance, and constant current.

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    Shunt Capacitors

    Shunt capacitor banks are commonly used in distribution syhelp in voltage regulation and to provide reactive power sup

    • The capacitor banks are modeled as constant susceptancesin either wye or delta.

    • Similar to the load model, all capacitor banks are modeled a

    phase banks with the currents of the missing phases set to zsingle-phase and two-phase banks.

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    Wye-Connected Capacitor Bank

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    Delta-Connected Capacitor Bank

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    Three Phase Induction Machine

    • The analysis of an induction machine (motor or generator) woperating under unbalanced voltage conditions has traditioperformed using the method of symmetrical components.

    • A method whereby all of the analysis can be performed in tframe is presented.

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    Three-Phase Induction Machine

    h h d h

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    Three-Phase Induction Machine