基于多项式混沌展开的交直流系统全纯嵌入概率潮流计算方法  

Holomorphic Embedding Probabilistic Power Flow Calculation Method for AC/DC System Based on Polynomial Chaos Expansion

作　　者：李雪[1] 付云跃 姜涛[1] 李国庆[1] LI Xue;FU Yunyue;JIANG Tao;LI Guoqing(Key Laboratory of Modern Power System Simulation and Control&Renewable Energy Technology,Ministry of Education(Northeast Electric Power University),Jilin 132012,China)

机构地区：[1]现代电力系统仿真控制与绿色电能新技术教育部重点实验室(东北电力大学),吉林省吉林市132012

出　　处：《电力系统自动化》2024年第18期177-188,共12页Automation of Electric Power Systems

基　　金：国家自然科学基金资助项目(52077029,U22B20105,52377083)。

摘　　要：为快速、准确量化分析风电出力不确定性对交直流电力系统潮流分布的影响,提出一种基于多项式混沌展开(PCE)的交直流电力系统全纯嵌入概率潮流计算方法。该方法首先根据风电出力的概率分布特征选择最优正交基函数,构造近似风电出力概率分布特征的PCE表达式;其次,将该PCE表达式引入交直流电力系统的全纯嵌入潮流方程中,构建基于PCE的交直流电力系统全纯嵌入概率潮流计算模型;再次,通过Galerkin投影将所构建的全纯嵌入概率潮流计算模型转化为高维确定性全纯嵌入潮流计算模型;然后,借助确定性全纯嵌入潮流模型求解方法,实现对所转化的高维确定性全纯嵌入潮流模型的求解,并根据所得PCE逼近系数计算交直流电力系统潮流的概率分布特征;最后,通过修改的PJM 5节点、IEEE 30节点和IEEE 118节点交直流测试系统算例验证所提方法的准确性和有效性。In order to quickly and accurately quantify the influence of uncertainty of wind power output on power flow distribution of AC/DC power system,a holomorphic embedding probabilistic power flow calculation method of AC/DC power system based on polynomial chaos expansion(PCE)is proposed.Firstly,the optimal orthogonal basis function is selected according to the probability distribution characteristics of wind power output,and the PCE expression approximating the probability distribution characteristics of wind power output is constructed.Secondly,the PCE expression is introduced into the holomorphic embedding power flow equation of AC/DC power system,and the holomorphic embedding probabilistic power flow calculation model of AC/DC power system based on PCE is constructed.Thirdly,the holomorphic embedding probabilistic power flow model is transformed into a high-dimensional deterministic holomorphic embedding power flow model by Galerkin projection.Then,with the deterministic holomorphic embedding power flow model solving method,the transformed high-dimensional deterministic holomorphic embedding power flow model is solved,and the probability distribution characteristics of power flow in AC/DC power system are calculated according to the obtained PCE approximation coefficient.Finally,the accuracy and effectiveness of the proposed method are verified by the modified PJM 5-bus,IEEE 30-bus and IEEE 118-bus AC/DC test systems.

关 键 词：概率潮流 多项式混沌展开 全纯嵌入 Galerkin投影 交直流电力系统 不确定性 

分 类 号：TM744[电气工程—电力系统及自动化]