A Novel Affine Arithmetic Method to Solve Optimal Power Flow Problems With Uncertainties

被引:61
作者
Pirnia, Mehrdad [1 ]
Canizares, Claudio A. [1 ]
Bhattacharya, Kankar [1 ]
Vaccaro, Alfredo [2 ]
机构
[1] Univ Waterloo, Dept Elect & Comp Engn, Waterloo, ON N2L 3G1, Canada
[2] Univ Sannio, Dept Engn, I-82100 Benevento, Italy
基金
加拿大自然科学与工程研究理事会;
关键词
Affine arithmetic; generation uncertainty; interval analysis; optimal power flow; ENERGY; MARKETS;
D O I
10.1109/TPWRS.2014.2316114
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
080906 [电磁信息功能材料与结构]; 082806 [农业信息与电气工程];
摘要
An affine arithmetic (AA) method is proposed in this paper to solve the optimal power flow (OPF) problem with uncertain generation sources. In the AA-based OPF problem, all the state and control variables are treated in affine form, comprising a center value and the corresponding noise magnitudes, to represent forecast, model error, and other sources of uncertainty without the need to assume a probability density function (pdf). The proposed AA-based OPF problem is used to determine the operating margins of the thermal generators in systems with uncertain wind and solar generation dispatch. The AA-based approach is bench-marked against Monte Carlo simulation (MCS) intervals in order to determine its effectiveness. The proposed technique is tested and demonstrated on the IEEE 30-bus system and also a real 1211-bus European system.
引用
收藏
页码:2775 / 2783
页数:9
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