基于太阳能光热发电系统效率问题的方案分析——以2023年全国数学建模竞赛A题为例

Efficiency Analysis of the Solar Energy System for Electric Generation via Light-to-Heat Conversion—A Case Study of Problem A in the 2023 National MathematicalModeling Competition

摘要: 本文以2023年高教社杯全国大学生数学建模竞赛A题为例，分析了“定日镜场的优化设计”的可行方案，利用卷积积分和构建模拟镜场等方法，在定日镜工作原理的基础上，建立了优化模型，并通过遗传算法和多为粒子群算法对模型进行求解，以解决定日镜场优化设计中的关键问题。本文提供的计算与优化方案具有良好的可借鉴性，可为同类问题的分析解决提供参考。由于模型未考虑天气因素、镜面弯曲程度、灰尘覆盖等复杂因素的影响，对所求结果有一定的影响，有待后续分析探讨。

Abstract: This paper presents a feasible resolution to the optimization design of helioscope field, based on the problem A of 2023 Higher Education Press Cup National Undergraduates Mathematical Modeling Competition. Following the working principle of helioscope, an optimization model is established by means of convolutional integral and construction of simulated optical field, and the model is solved by genetic algorithm and multi-particle swarm optimization algorithm to solve the problems in the optimization design of helioscope field. The calculation and optimization scheme proposed provides a good solution for similar problem. Lacking the effects of some practical parameters, i.e. weather conditions, mirror curvature and covering of dust, which may somehow affect the accuracy of the results, further analysis and improvement are still desirable.