Hybrid Energy Flow Calculation for Electric-Thermal Coupling System Based on Inexact Newton Method

As the foundation of planning and operation, hybrid energy flow analysis of integrated energy system is of significance. To improve the computational efficiency, this paper proposes a hybrid energy flow calculation method for electric-thermal coupling systems based on a parallelized Inexact Newton method. The proposed method uses an iterative method to solve the modified equations during energy flow calculations. By selecting reasonable iterative algorithm, precondition method and iterative convergence criterion, it can effectively improve the efficiency of energy flow calculations and facilitate parallelization calculations. In this paper, we consider the asymmetric positive definiteness characteristics of the Jacobian matrix during energy flow calculation. The generalized minimization residual method (GMRES) is chosen as the internal iterative algorithm of the Inexact Newton method, and the incomplete LU decomposition method (ILU) is proposed as the precondition method to accelerate the internal iterative convergence speed. The constant forcing factor is used as the internal convergence criterion. The algorithm is designed with GPU parallelization. Finally, the effectiveness of the proposed method is verified by extensive case studies.