Sliding Surface Design for Sliding Mode Load Frequency Control of Multiarea Multisource Power System

A new load frequency control (LFC) technique for a multiarea steam-hydropower system (MASHPS) with parameter uncertainty is proposed in this research. A second-order sliding mode control (SMC) via double integrated sliding surface is meant to improve MASHPS frequency regulation, tie-line power management, and dependability. This strategy not only increases asymptotic stability and dependability of MASHPS, but it also reduces the chattering problem that is inherent in first-order SMC. Furthermore, the new linear matrix inequality based on Lyapunov stability is used to analyze the entire MASHPS stabilization. For the LFC research, the efficient achievement of the proposed technique is investigated in a two-area steam-hydropower system. Under parameter uncertainties and various assumed load disturbances from households, commercial buildings, and industries, the proposed second-order SMC via double integral sliding surface proves to be highly robust and improves the MASHPS response in terms of frequency regulation, tie-line power management, and system reliability when compared to other existing proposed methods with less uncertainty consideration. Overall, the results indicate that the novel approach is feasible for MASHPS LFC and power system reliability.