Efficient and accurate solution of wind-integrated optimal power flow based on enhanced second-order cone relaxation with rolling cutting plane technique

TL;DR

This paper introduces an enhanced second-order cone relaxation method combined with a rolling cutting plane technique to efficiently and accurately solve wind-integrated optimal power flow problems, accounting for wind power uncertainties and costs.

Contribution

It develops a novel convex approximation approach for AC power flow constraints integrated with wind power cost modeling, improving solution accuracy and computational efficiency.

Findings

The proposed method reduces relaxation errors effectively.

It improves computational speed compared to traditional methods.

The framework accurately models wind power costs and system constraints.

Abstract

The integration of large-scale renewable energy sources, such as wind power, poses significant challenges for the optimal operation of power systems owing to their inherent uncertainties. This paper proposes a solution framework for wind-integrated optimal power flow (OPF) that leverages an enhanced second-order cone relaxation (SOCR), supported by a rolling cutting plane technique. Initially, the wind generation cost, arising from discrepancies between scheduled and actual wind power outputs, is meticulously modeled using a Gaussian mixture model based on historical wind power data. This modelled wind generation cost is subsequently incorporated into the objective function of the conventional OPF problem. To achieve the efficient and accurate solution for the wind-integrated OPF, effectively managing the constraints associated with AC power flow equations is essential. In this regard, a SOCR, combined with a second-order Taylor series expansion, is employed to facilitate the convex approximation of the AC power flow equations. Additionally, a warm-start strategy, grounded in a proposed rolling cutting plane technique, is devised to reduce relaxation errors and enhance computational efficiency. Finally, the effectiveness and efficiency of the proposed solution framework are demonstrated across various case studies. Specifically, the influence of wind power cost is also examined, further highlighting the practical implications of the proposed solution framework.