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

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