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In this paper, a new mathematical model is proposed to predict the pollution flashover voltages of porcelain disc insulators

An enhanced approach-based grid flexibility analysis for combined heat and power (CHP) systems with variable renewable energy systems is proposed in this article. The proposed system is the combined execution of White Shark Optimizer (WSO) and Pelican Optimization Algorithm (POA). The WSO approach updating behavior is enhanced by the POA approach hence named as enhanced WSO technique. The main purpose of the proposed technique is to provide the optimal grid flexibility by utilizing the CHP systems. Utilizing the proposed method, the demand for the sources is predicted in the year 2030. The proposed approach considers the optimization problem as a reduction of cost and analyzes the flexibility in both upward and downward directions. The sources like photovoltaic, wind turbine, hydropower plants, nuclear, and coal demand power are analyzed. Based on the seasons, the proposed approach analyzed the system flexibility. Finally, the performance of the proposed method is simulated in MATLAB/Simulink platform and the performance is compared to the various existing methods.