Comprehensive DQ impedance modeling of AC power-electronics-based power systems with frequency-dependent transmission lines
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abstract
This paper introduces a time–frequency analytic method for the exact identification of wideband DQ impedance models oriented to harmonic stability of converter-driven systems with transmission line models with distributed and frequency-dependent parameters. Wideband models are of great importance in the analysis of harmonic stability over a broad range of frequencies. The transmission line is a crucial component in this regard, but it is not straightforward to incorporate it into the impedance model of AC power-electronics-based power systems. This has led to the use of lumped parameter models or models based on rational approximations. This article proposes a method to include this important element to the impedance model directly from its frequency domain model. Salient features of the proposed modeling approach include the frequency telegrapher%27s equations with distributed and frequency-dependent parameters, exact delay models of PWM, control implementations of power electronics, and an exact steady-state computation using a balance method based on a hybrid time–frequency approach. The proposal avoids time-domain simulations, rational approximations, or the fast Fourier transform. A converter-driven system with transmission lines is used to validate the proposal and the results of the frequency scanning method conducted in OPAL-RT (ARTEMiS/EMTP-RV) and PSCAD/EMTDC support the effectiveness, speed, and accuracy.
