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Analysis of frequency-dependent network equivalents in dynamic harmonic domain
Karami, E ; Sharif University of Technology | 2021
380
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- Type of Document: Article
- DOI: 10.1016/j.epsr.2021.107037
- Publisher: Elsevier Ltd , 2021
- Abstract:
- Rational function-based models have proved to be very efficient for accurate frequency-dependent modeling of power system components. These models are able to characterize the components terminal behaviours (analysing the admittance matrix) for nodal analysis. This provides a fast convergence and inherent stability to the solution routine of the model. This work presents a general framework for interfacing the dynamic phasor method to the rational models. That would be promising for the electromagnetic transient analysis (under harmonic distortion), in the frequency domain. Therefore, Y-element rational pole-residue models (employing the vector fitting method) are developed. Moreover, the pole-residue model is converted into the state-space representation. Next, the dynamic harmonic approach (in the frequency domain) is employed for harmonic analysis. It is shown that the order of state-space system can become a major concern for frequency-dependent networks analysis. Therefore, to generate a reduced-order model, the balanced realization theory is applied. Moreover, (for the sake of simplicity and efficiency) the trapezoidal integration rule is employed to discretise the state-space equations. For validation of the modelling, it is applied on three test case studies and results of these studies are compared with their time-domain analysis results. © 2021
- Keywords:
- Equations of state ; Frequency domain analysis ; Harmonic analysis ; Poles ; Rational functions ; State space methods ; Transient analysis ; Balanced realizations ; Dynamic harmonic domain ; Electromagnetic transient analysis ; Frequency dependent network equivalent ; Frequency-dependent model ; Frequency-dependent networks ; State space representation ; Trapezoidal integration rule ; Time domain analysis
- Source: Electric Power Systems Research ; Volume 193 , 2021 ; 03787796 (ISSN)
- URL: https://www.sciencedirect.com/science/article/abs/pii/S0378779621000171