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Dynamic Model of Medium Voltage Vacuum Circuit Breaker and Induction Motor for Switching Transients Simulation using Clarke Transformation
Pígl, Jan ; Bernat,, Petr (referee) ; Ferková, Želmíra (referee) ; Cipín, Radoslav (advisor)
Derivation of the dynamic model of medium voltage vacuum circuit breaker and induction motor in space vectors in coordinates 0 allow us to model switching transients in various dynamic states of the motor. In the case of the Clarke transformation, the corresponding numerical integration technique can be selected including variable time-step integration techniques to avoid numerical instabilities due to the stiffness of the system. Assymetrical operations such as switching cause that power system becomes unbalanced and the transformed equations , and 0 are not uncoupled. Therefore it is necessary to derive a coupling matrix between circuit breaker voltages and currents in the coordinate system 0. The behavior of the dynamic model was experimentally verified on a laboratory model during the transition between balanced and unbalanced states of the system. The subject of our interest are switching overvoltages that arise when turning off small inductive currents by a vacuum circuit breaker. When deriving the model of a vacuum circuit breaker, all its properties encountered during this action were taken into account, i.e. current chop, virtual current chop, dielectric barrier in the circuit breaker and its recovery rate and the ability of the vacuum circuit breaker to extinguish high frequency currents. Dynamic model is further extended by overvoltage protections and frequency-dependent line model. Simulation results are compared with the measured results on a medium voltage motor and as well as with the simulation results of the mathematical model of the test circuit according to IEC 62271-110 resolved using nodal method (EMTP algorithm). Models are implemented in the MATLAB/Simulink programming environment.
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