An initial value selection method based on hybrid DE-Newton for energy flow calculation of the electricity-gas integrated energy system

Newton method is the core algorithm in most of the multi energy flow calculation of the integrated electricity-gas system, which has initial value sensitivity problem. There is no effective initial value calculation method at present for the natural gas subsystem which is difficult to converge in the integrated energy system with flat start up. In view of this, in this paper, by combining the Differential Evolution Algorithm with the ability of global optimization and Newton convergence law, the DE method termination condition based on parameter convergence operator is derived, and a hybrid DE-Newton method for energy flow calculation of integrated electricity-gas system is proposed. The hybrid DE-Newton method utilizes the global search ability of differential evolution algorithm, which can quickly get reasonable initial value of natural gas system with better convergence, and effectively improve the convergence problem of Newton method with flat start up while maintaining high calculation efficiency. The feasibility and superiority of the proposed method are verified by two examples of 6-node natural gas system and 15-node integrated electricity-gas system.