Optimal partitioning of photovoltaic modules on a curved solar collector

Date

2019

Authors

Kapsis, M.
Albrecht, A.R.
Pudney, P.J.

Editors

Elsawah, E.
S, S.

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Conference paper

Citation

23rd International Congress on Modelling and Simulation Supporting Evidence Based Decision Making the Role of Modelling and Simulation Modsim 2019, 2019 / Elsawah, E., S, S. (ed./s), pp.109-115

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23rd International Congress on Modelling and Simulation (MODSIM2019) (1 Dec 2019 - 6 Dec 2019 : Canberra, Australia)

Abstract

The Australian Technology Network (ATN) group of universities designed and built a solar car to participate in the 2019 Bridgestone World Solar Challenge. The car is powered by 29 photovoltaic modules on its top surface. To get a useful voltage from the solar collector, modules are connected in series. However, the power generated by a group of modules in series is limited by the module with the lowest irradiance. Irradiance depends on the angle between the sun and the cell normal, which is influenced by the curvature of the collector and the position of the sun relative to the car. If all of the modules were facing the same direction then each module would receive the same irradiance and there would be no "series mismatch" losses, but the solar panel is curved for aerodynamic efficiency.Our challenge was to partition the modules into groups so that the energy generated by the solar collector is maximised during a six-day journey across Australia. We describe two methods for partitioning modules into groups. Our mixed-integer programming model provides optimal solutions for a single time instant, but cannot solve the problem for the entire journey. Using a Cross Entropy Optimisation method, we were able to find solutions that were within 0.03% of optimal for a single time instant, and could also find good solutions to the six-day problem.

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Copyright 2019 the Author(s) (https://creativecommons.org/licenses/by/4.0/) Access Condition Notes: These proceedings are licensed under the terms of the Creative Commons Attribution 4.0 International CC BY License

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