Integrated Wind Farm Design: Optimizing Turbine Placement and Cable Routing with Wake Effects

TL;DR

This paper presents a novel optimization framework for wind farm design that integrates turbine placement and cable routing, accounting for wake effects, to reduce costs and improve planning efficiency.

Contribution

It introduces the quota Steiner tree problem with interference (QSTPI), an exact solution method for large-scale wind farm layout and cable routing optimization.

Findings

Outperforms state-of-the-art solvers by up to two orders of magnitude.

Reduces costs significantly compared to sequential planning methods.

Provides a scalable, integrated planning tool for wind farm expansion.

Abstract

An accelerated deployment of renewable energy sources is crucial for a successful transformation of the current energy system, with wind energy playing a key role in this transition. This study addresses the integrated wind farm layout and cable routing problem, a challenging nonlinear optimization problem. We model this problem as an extended version of the quota Steiner tree problem (QSTP), optimizing turbine placement and network connectivity simultaneously to meet specified expansion targets. Our proposed approach accounts for the wake effect $-$ a region of reduced wind speed induced by each installed turbine $-$ and enforces minimum spacing between turbines. We introduce an exact solution framework in terms of the novel quota Steiner tree problem with interference (QSTPI). By leveraging an interference-based splitting strategy, we develop an advanced solver capable of tackling large-scale problem instances. The presented approach outperforms generic state-of-the-art mixed integer programming solvers on our dataset by up to two orders of magnitude. Further, we present a hop-constrained variant of the QSTPI to handle cable capacities in the context of radial topologies. Moreover, we demonstrate that our integrated method significantly reduces the costs in contrast to a sequential approach. Thus, we provide a planning tool that enhances existing planning methodologies for supporting a faster and cost-efficient expansion of wind energy.