Power flow calculation of electricity-gas integrated energy systems using an improved Newton-Raphson method

Abstract

To address the difficulty in convergence encountered in power flow calculations of integrated electricity-gas energy systems using the traditional Newton-Raphson method for state evaluation and safety checks， this paper proposes a power flow calculation method based on an improved continuous Newton method. This approach transforms the nonlinear power flow model of the integrated electricity-gas energy systems into an ordinary differential equation model. By employing the trapezoidal integration method for large-step implicit integration， numerical stability is ensured. Additionally， the improved Euler method is used for small-step explicit integration to estimate iteration errors， with Richardson extrapolation correcting the iteration results and adaptively updating the iteration step size. Simulation tests on integrated electricity-gas energy systems demonstrate that the proposed method exhibits superior robustness compared to traditional methods in scenarios with ill-conditioned initial power flow values， and can serve as a tool for verifying power flow results when traditional methods fail to converge.

Keywords

• integrated energy systems
• power flow calculation
• robustness