基于改进连续牛顿法的电-气综合能源系统潮流计算Power flow calculation of electricity-gas integrated energy systems using an improved Newton-Raphson method
翁格平,任娇蓉,李琪,翁秉宇,蔡振华,韩寅峰,陆帅
WENG Geping,REN Jiaorong,LI Qi,WENG Bingyu,CAI Zhenhua,HAN Yinfeng,LU Shuai
摘要(Abstract):
针对采用传统牛顿-拉夫逊法对电-气综合能源系统进行状态评估与安全校核时潮流计算不易收敛的问题,提出了一种基于改进连续牛顿法的电-气综合能源系统潮流计算方法。将电-气综合能源系统非线性潮流模型转化为常微分方程模型,使用梯形积分法进行大步长隐式积分以保证数值稳定;使用改进欧拉法进行小步长显式积分以估计迭代误差,以Richardson外推修正迭代结果并自适应更新迭代步长。通过电-气综合能源系统中的仿真测试表明,所提方法在病态潮流初值场景下的鲁棒性优于传统算法,并可作为采用传统算法不收敛时的潮流结果校核工具。
To address the difficulty in convergence encountered in power flow calculations of integrated electricitygas 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.
关键词(KeyWords):
综合能源系统;潮流计算;鲁棒性
integrated energy systems;power flow calculation;robustness
基金项目(Foundation): 国家自然科学基金(52207080);; 国网浙江省电力有限公司科技项目(5211NB230003)
作者(Author):
翁格平,任娇蓉,李琪,翁秉宇,蔡振华,韩寅峰,陆帅
WENG Geping,REN Jiaorong,LI Qi,WENG Bingyu,CAI Zhenhua,HAN Yinfeng,LU Shuai
DOI: 10.19585/j.zjdl.202411013
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