The energy-balance method for optimal control in renewable energy applications

Guiver, Chris; Opmeer, Mark R.

Abstract

A theoretical method is presented, called the energy-balance method, for maximising the energy extracted from a renewable energy converter in terms of determination of an optimal control. The method applies to control systems specified by linear graphs, and graph-theoretic techniques are employed. The method simplifies a number of optimal control problems by essentially expressing the performance objective — maximising energy extraction — in terms of an equivalent objective involving fewer variables, thereby reducing the complexity of the optimisation. As illustrated, in certain cases the optimal control problem may be reduced to one solvable by elementary calculus techniques. The theory is illustrated with examples from solar, wave and wind applications.

Citation

Guiver, C., & Opmeer, M. R. (2024). The energy-balance method for optimal control in renewable energy applications. Renewable Energy Focus, 50, Article 100582. https://doi.org/10.1016/j.ref.2024.100582

• Journal Article Type: Article
• Acceptance Date: May 3, 2024
• Online Publication Date: May 30, 2024
• Publication Date: 2024-09
• Deposit Date: May 21, 2024
• Publicly Available Date: May 30, 2024
• Print ISSN: 1755-0084
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 50
• Article Number: 100582
• DOI: https://doi.org/10.1016/j.ref.2024.100582
• Keywords: linear graph modelling, optimal control, photovoltaic (PV) solar energy, wave energy, wind energy