Transmission Switching Under Wind Uncertainty Using Linear Decision Rules

TL;DR

This paper introduces a linear decision rule approach for real-time transmission switching in power systems with high wind uncertainty, improving computational efficiency and guaranteeing feasibility.

Contribution

It proposes a novel LDR-based approximation for stochastic OTS, reducing complexity and ensuring feasibility under wind uncertainty.

Findings

High approximation accuracy demonstrated on IEEE test cases.

Significant reduction in computational complexity.

Effective for real-time transmission switching under uncertainty.

Abstract

Increasing penetration of wind and renewable generation poses significant challenges to the power system operations and reliability. This paper considers the real-time optimal transmission switching (OTS) problem for determining the generation dispatch and network topology that can account for uncertain energy resources. To efficiently solve the resultant two-stage stochastic program, we propose a tractable linear decision rule (LDR) based approximation solution that can eliminate the uncertainty variables and lead to fixed number of constraints. The proposed LDR approach can guarantee feasibility, and significantly reduces the computational complexity of existing approaches that grows with the number of randomly generated samples of uncertainty. Numerical studies on IEEE test cases demonstrate the high approximation accuracy of the proposed LDR solution and its computational efficiency for real-time OTS implementations.