On the Construction of Linear Approximations of Line Flow Constraints for AC Optimal Power Flow

被引:26
|
作者
Shchetinin, Dmitry [1 ]
De Rubira, Tomas Tinoco [2 ]
Hug, Gabriela [1 ]
机构
[1] Swiss Fed Inst Technol, Power Syst Lab, CH-8092 Zurich, Switzerland
[2] Elect Power Res Inst, 3412 Hillview Ave, Palo Alto, CA 94304 USA
关键词
Convex approximation; linearization; optimal power flow; thermal limits; INTERIOR-POINT METHOD; REACTIVE POWER; RELAXATIONS; MODEL; OPF;
D O I
10.1109/TPWRS.2018.2874173
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The AC optimal power flow problem is a non-convex optimization problem that is difficult to solve quickly and reliably for large-scale grids. While various approximations have been proposed, they may lead to physically meaningless solutions. This paper presents a computationally efficient algorithm for constructing accurate linear approximations of line flow constraints. These approximations reduce the complexity of the optimization problem while ensuring that the solution is physically meaningful and has a high quality. The algorithm is based on an in-depth analysis of the feasible set of the line flow constraint. Numerical experiments are performed on ten large-scale systems using three nonlinear programming solvers. Obtained results indicate that the proposed formulation helps improve the solvers' reliability and reduce the computation time for hard large-scale problems. At the same time, the developed algorithm provides high quality approximations of the line flow constraints.
引用
收藏
页码:1182 / 1192
页数:11
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