A Second-Order Singular Perturbation for Model Simplification for a Microgrid

Xiao-Qi Yin, Bao-Shun Yang and Jun Tao ()
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Xiao-Qi Yin: School of Electrical Engineering and Automation, Anhui University, Hefei 230601, China
Bao-Shun Yang: School of Electrical Engineering and Automation, Anhui University, Hefei 230601, China
Jun Tao: School of Electrical Engineering and Automation, Anhui University, Hefei 230601, China

Energies, 2023, vol. 16, issue 2, 1-11

Abstract: As the integration of electronic-interfaced devices have increased, microgrid models have become too complex to perform a stability analysis. Thus, an effective model simplification method keeping most dynamics of the system becomes very essential. Singular perturbation is a common way for model simplification. However, its accuracy is insufficient when nonlinear properties dominate. This is caused by the “Quasi-Steady State Assumption” that traditional singular perturbation holds. By assuming that microgrid can only be stabilized when fast variables stop variating, the traditional method ignores some common phenomena before a stabilization occurs, leading to a loss of dynamics. To improve the accuracy, this paper proposes a “second-order singular perturbation”. Here, the traditional “Quasi-Steady State” is updated to a scenario that third-order derivatives of fast variables become zero before the microgrid stabilizes. The updated assumption covers more common phenomena before a stabilization occurs. This leads to a more precise simplification. Simulation results indicate that the proposed method outperforms traditional singular perturbation in accuracy.

Keywords: microgrid; model simplification; second-order singular perturbation (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2023
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