摘要
针对电力系统暂态稳定性的在线实时分析,为达到快速求解电力系统暂态稳定性的目的,提出了一种基于带参数单步块方法的电力系统暂态稳定性数值计算方法。使用带参数的单步块方法计算格式,对连续差分离散的暂态稳定性计算进行微分方程求解,并采用牛顿法整体求解差分后得到的非线性代数方程组。采用广义极小残余方法(GMRES)求解方程经块边界值方法(BVM)离散后的代数方程组,并采用预处理矩阵提高算法的收敛性。通过对IEEE145节点的暂态稳定性计算系统进行仿真测试,并将计算结果与同阶方法进行对比。仿真结果表明,文中方法在计算精度、通用性和数值稳定性上效果明显,取得了较好的结果,可达到快速求解电力系统暂态稳定性的目的。
Targeting the problem of online real-time analysis on power system transient stability,the paper proposes a numerical calculation method based on single step block method with parameters for quickly solving the power system transient stability.The differential equations for the transient stability calculation are discretized using a parameterized one-step block format,and the Newton method is used to solve the nonlinear algebraic equations obtained by the difference as a whole.The generalized minimal residual method is used to solve the algebraic equations discretized by boundary value method(BVM),and a preprocessing matrix is used to improve the convergence of the algorithm.Simulation tests are conducted on the transient stability calculation system of IEEE 145-node,and the calculation results are compared with the same order method.The results show that the proposed method has high computational accuracy,good numerical stability,and good universality in quickly solving the transient stability of the power systems.
作者
林沁庭
王永
郝跃东
吴秀海
张磊
靳生鹏
LIN Qinting;WANG Yong;HAO Yuedong;WU Xiuhai;ZHANG Lei;JIN Shengpeng(College of Electrical Engineering and New Energy,China Three Gorges University,Yichang 443002,China;UHV Converter Station Branch of State Grid Shanghai Municipal Electric Power Company,Shanghai 201314,China;State Grid Qinghai Electric Power Company Ultra-high Voltage Company,Xining 810008,China)
出处
《智慧电力》
北大核心
2024年第1期102-107,123,共7页
Smart Power
基金
国家自然科学基金资助项目(52007103)
国网上海市电力公司科技项目(52090V230002)。
关键词
暂态稳定性
单步块方法
广义极小残余方法
预处理矩阵
transient stability
single step block method
generalized minimal residual method
preprocessing matrix
