Calculating the Short Circuit Current Accros the Terminals of a Synchronous Generator

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    Subject Calculating the short-circuit current across the terminals of a synchronous generator

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    Calculating the short-circuit current across the terminals of a synchronous generator

    Alternators and motors

    Calculating the short-circuit current across the terminals of a synchronous generator is very complicated

    because the internal impedance of the latter varies according to time.

    When the power gradually increases, the current reduces passing through three characteristic

    periods:

    Subtransient (enabling determination of the closing capacity of circuit breakers and electrodynamic

    contraints), average duration, 10 ms

    1.

    Transient(sets the equipments thermal contraints), average duration 250 ms2.

    Permanent(this is the value of the short-circuit current in steady state).3.

    The short-circuit current is calculated in the same way as for transformers but the different states must be

    taken account of.

    Short-circuit current three characteristic periods

    The short-circuit current is given by the following equation:

    Isc= Ir/ Xsc

    Xsc- Short-circuit reactance c/c

    The most common values for a synchronous generator are:

    State Subtransient Xd Transient Xd Permanent Xd

    Xsc 10 20% 15 25% 200 350%

    Example

    Calculation method f or an alternator or a synchronous motor.

    Alternator 15 MVA

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    Voltage U = 10 kV

    Xd = 20%

    All electrical installations have to be protected against short-circuits, without exception, whenever there is an

    electrical discontinuity; which more generally corresponds to a change in conductor cross-section.

    The short-circuit current shall be calculated at each stage in the installation for the various configurations that

    are possible within the network, in order to determine the characteristics of the equipment that has to

    withstand or break this fault current.

    Reference:Medium voltage design guide Schneider Electric

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    Category & Tags: Energy and Power, Motor, alternator, short circuit current, short-circuit, short-circuit

    reactance, subtransient, synchronous generator, synchronous motor

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