基于全纯函数嵌入的暂态稳定网络方程算法

Transient stability network equation algorithm basedon holomorphic embedding method

数值积分法中是电力系统暂态稳定分析中重要的研究工作,但受限于交替求解微分一代数方程求解的困难,尝试从网络方程入手解决。引入全纯函数嵌入(holomorphic embedding)理论,重构节点模型,以计算解析解为目标,介绍求解非线性系统的原理与数值逼近理论的应用,之后针对电力系统暂态稳定分析,确保兼容电网中恒功率负荷的情况下分别对直接法和Dommel-Sato迭代法进行全纯函数嵌入的改动并给出计算方法,最后使用算例,从暂态稳定仿真和数值逼近算法特性方面验证算法的有效性。

Numerical integration is an important research work in power system transient stability analysis,but it is lim-ited by the difficulty of alternately solving differential-algebraic equations,in this paper,a network equation algorithm is applied to solve problem.The theory of holomorphic embedding is introduced,and the node model is reconstructed.Aiming at calculating analytical solutions,the principles of solving nonlinear systems and the application of numerical approximation theory are introduced.Then holomorphic embedding is carried out to design the direct method and Dom-mel-Sato iterative method respectively and make it compatible with constant power loads in power system.Finally,a test case is used to verify the effectiveness of the algorithm from the aspects of transient stability simulation and numeri-cal approximation algorithm characteristics.