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

作者：Pirnia Mehrdad^*; Canizares Claudio A; Bhattacharya Kankar; Vaccaro Alfredo

来源：IEEE Transactions on Power Systems, 2014, 29(6): 2775-2783.

DOI：10.1109/TPWRS.2014.2316114

• Affine arithmetic
• generation uncertainty
• interval analysis
• optimal power flow

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 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.

• 出版日期2014-11