Singular Perturbation Analysis and Synthesis of Wind Energy Conversion Systems under Stochastic Environments

摘要

This paper presents a reduced-order stochastic optimal control for a wind energy conversion system (WECS). The wind energy conversion system which contains both mechanical dynamics (slow dynamics) and electrical dynamics (fast dynamics) is decomposed into a slow subsystem and a fast subsystem using the singular perturbation analysis. By separating the system, a reduced-order Linear Quadratic Gaussian (LQG) controller can be obtained by combining LQG subcontrollers designed independently for each subsystem. The performance of the reduced-order and full-order LQG controllers are compared to show the effectiveness of the proposed LQG control through numerical simulations.