Abstract:The windowed fast Fourier transform (WFFT) is widely used for harmonic analysis on rapidly changing time domain waveforms in power electronic distribution network, but WFFT is prone to errors so that the harmonic transient characteristics cannot be obtained accurately. In this paper, a dynamic phasor (DP) model of frequency-dependent transmission line is proposed for harmonic transient analysis in distribution network. The characteristic admittance and propagation coefficient are fitted in rational function by adopting vector fitting method, which exist in the model domain frequency-dependent transmission line model. The DP model of frequency-dependent transmission line is established based on state space equation, the DP model is also established for the thyristor controlled reactor (TCR) at receiving end of the transmission line, the harmonic dynamic coupling between TCR and power grid is described by the analytical formula with phasors of each order as state variables. The DP model of the simple test system is calculated based on Matlab, which can directly analyze harmonic transient characteristics for the voltage of each node and current in each branch in the system, and the instantaneous power quality parameters can also be obtained. The transient steady state results of the simulation system based on EMTP verify the effectiveness and accuracy of the model.
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