中国电机工程学报2026，Vol.46Issue(2)：620-633,中插14,15.DOI:10.13334/j.0258-8013.pcsee.241833
综合能源系统安全域边界近似的多项式混沌展开方法
Polynomial Chaos Expansion Approach for Approximating Security Region Boundary of Integrated Electricity-gas Energy Systems
摘要
Abstract
To form the integrated energy system security region(IESSR),this paper develops an approximation solution for IESSR boundary(IESSRB),which uses Polynomial Chaos Expansion(PCE)to formulate a polynomial approximation expression.First,according to the boundary topology characteristics of IESSRB,an optimization model for exploring the critical point on the IESSRB is formulated.Then,the optimization model is parameterized to a parametric optimization model of IESSRB via the PCE.Further,the parametric optimization model is transformed into aa high-dimensional parameterized nonlinear equations based on its KKT condition,and the corresponding Galerkin projection equation is formulated by applying the generalized Galerkin projection on the obtained high-dimensional parameterized nonlinear equations.By solving the Galerkin projection equation,the polynomial approximation coefficients of IESSRB are determined and the polynomial approximation expression is obtained.To reduce the complexity of solving the Galerkin projection equations,the polynomial segmentation approach is proposed to approximate the IESSRB,which improves the computational efficiency and approximation accuracy for the IESSRB.Finally,the IES E39-G20 and E118-G96 test systems are employed to evaluate the performance of the proposed method,and the results confirm that the proposed method can realize the accurate and effective construction of IESSR.关键词
综合能源系统/安全域/安全域边界/多项式混沌展开/Galerkin投影/多项式逼近表达式Key words
integrated energy system/security region/security region boundary/polynomial chaos expansion/Galerkin projection/polynomial approximation expression分类
信息技术与安全科学引用本文复制引用
姜涛,王璇瑶,李雪,李国庆..综合能源系统安全域边界近似的多项式混沌展开方法[J].中国电机工程学报,2026,46(2):620-633,中插14,15.基金项目
国家自然科学基金项目(52377083,U23B20131).Project Supported by National Natural Science Foundation of China(52377083,U23B20131). （52377083,U23B20131）
