Global optimal polynomial approximation for parametric problems in power systems

作者: Yongzhi ZHOU , Hao WU , Chenghong GU , Yonghua SONG

DOI: 10.1007/S40565-018-0469-2

关键词:

摘要: The influence of parameters on system states for parametric problems in power systems is to be evaluated. These could renewable generation outputs, load factor, etc. Polynomial approximation has been applied express the nonlinear relationship between and parameters, governed by implicit equations. Usually, sampling-based methods are applied, e.g., data fitting sensitivity methods, However, accuracy stability these not guaranteed. This paper proposes an innovative method based Galerkin method, providing global optimal approximation. Compared traditional this enjoys high stability. IEEE 9-bus used illustrate its effectiveness, two additional studies including a 1648-bus performed show applications analysis.

参考文章(25)
Keyou Wang, Guojie Li, Xiuchen Jiang, Applying probabilistic collocation method to power flow analysis in networks with wind farms power and energy society general meeting. pp. 1- 5 ,(2013) , 10.1109/PESMG.2013.6672103
A.G. Bakirtzis, P.N. Biskas, Decentralised DC load flow and applications to transmission management IEE Proceedings - Generation, Transmission and Distribution. ,vol. 149, pp. 600- 606 ,(2002) , 10.1049/IP-GTD:20020627
M.G. Lauby, Evaluation of a local DC load flow screening method for branch contingency selection of overloads IEEE Transactions on Power Systems. ,vol. 3, pp. 923- 928 ,(1988) , 10.1109/59.14542
Dongbin Xiu, George Em Karniadakis, The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations SIAM Journal on Scientific Computing. ,vol. 24, pp. 619- 644 ,(2002) , 10.1137/S1064827501387826
Tingting Tan, Weili Chen, Dawei Wang, Tong Jiang, None, Wind Power Prediction Based on Wind Farm Output Power Characteristics Using Polynomial Fitting 2012 Asia-Pacific Power and Energy Engineering Conference. pp. 1- 4 ,(2012) , 10.1109/APPEEC.2012.6307147
Bruno Sudret, Global sensitivity analysis using polynomial chaos expansions Reliability Engineering & System Safety. ,vol. 93, pp. 964- 979 ,(2008) , 10.1016/J.RESS.2007.04.002
Jing QIU, Zhaoyang DONG, Junhua ZHAO, Ke MENG, Fengji LUO, Kit Po WONG, Chao LU, A low-carbon oriented probabilistic approach for transmission expansion planning Journal of Modern Power Systems and Clean Energy. ,vol. 3, pp. 14- 23 ,(2015) , 10.1007/S40565-015-0105-3
Lu Miao, Jiakun Fang, Jinyu Wen, Weihua Luo, Transient stability risk assessment of power systems incorporating wind farms Journal of Modern Power Systems and Clean Energy. ,vol. 1, pp. 134- 141 ,(2013) , 10.1007/S40565-013-0022-2
Barbara Borkowska, Probabilistic Load Flow IEEE Transactions on Power Apparatus and Systems. ,vol. 93, pp. 752- 759 ,(1974) , 10.1109/TPAS.1974.293973