A Modeling Method of Arc Voltage Gradient Based on MHD Simulation
A magnetohydrodynamics, arc voltage technology, applied in design optimization/simulation, CAD numerical modeling, electrical digital data processing, etc., can solve the problems of high test cost, uncontrollable test, and inability to carry out arc test widely.
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[0052] In order to comprehensively analyze the voltage characteristics of medium and low voltage short-gap arc faults, the mathematical method of tracking the dynamic characteristics of arc voltage is discussed;
[0053] Based on the Mayr black-box model of switching arcs, the following assumptions are made for short arcs:
[0054] 1) The temperature of the arc channel is constant, and the increase of the arc column energy leads to the increase of the arc cross section;
[0055] 2) The arc column area has a constant electric field strength, and the voltage changes with the continuous change of the arc length.
[0056] Under these assumptions, the arc can be described by a first-order differential equation, where the arc conductance is expressed as a function of the heat content of the arc column:
[0057]
[0058] where g is the time-varying arc conductance, u arc is the instantaneous arc voltage, i arc is the instantaneous arc current, P loss is the arc power loss duri...
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