Non-fragile load frequency control of multi-area power system with energy storage system and wind power subject to circular pole constraints

Non-fragile load frequency control scheme is provided to solve the problem of multi-area power system with energy storage system and wind power. A dynamical model is established in term of multi-area power system with time-delay and uncertainties, which subjects to circular pole constraints simultaneously. Firstly, it is convenient to be operated by computer, the discrete-time signal is attained by sampling the dynamical model, which results in that long time-delay is equivalently turned into two pairs of successive state time-delay. Secondly, non-fragile control is employed to guarantee the closed-loop poles of the equivalent discrete-time one locate in the specified circular region inside the unit disk. Besides, the specified circular region can be transformed into the unit disk by the appropriate linear transformation, thereby, D-stabilization is converted into asymptotical stabilization. Thirdly, the direct distributed scheme of time-delay is adopted, in comparison with the state augmented scheme, less computational burden is derived. Finally, numerical examples are put forward to verify the effectiveness of the proposed methods.

Automated summary

This study presents a non-fragile load frequency control scheme for multi-area power systems, addressing the issues caused by system time delays and uncertainties through dynamic modeling and non-fragile control. The improved scheme significantly reduces computational burden and effectively verifies the validity of the method.