This paper presents a solution to a predict then optimise problem which goal is to reduce the electricity cost of a university campus. The proposed methodology combines a multi-dimensional time series forecast and a novel approach to large-scale optimization. Gradient-boosting method is applied to forecast both generation and consumption time-series of the Monash university campus for the month of November 2020. For the consumption forecasts we employ log transformation to model trend and stabilize variance. Additional seasonality and trend features are added to the model inputs when applicable. The forecasts obtained are used as the base load for the schedule optimisation of university activities and battery usage. The goal of the optimisation is to minimize the electricity cost consisting of the price of electricity and the peak electricity tariff both altered by the load from class activities and battery use as well as the penalty of not scheduling some optional activities. The schedule of the class activities is obtained through evolutionary optimisation using the covariance matrix adaptation evolution strategy and the genetic algorithm. This schedule is then improved through local search by testing possible times for each activity one-by-one. The battery schedule is formulated as a mixed-integer programming problem and solved by the Gurobi solver. This method obtains the second lowest cost when evaluated against 6 other methods presented at an IEEE competition that all used mixed-integer programming and the Gurobi solver to schedule both the activities and the battery use.
翻译:本文为预测然后优化问题提供了一个解决方案,目标是降低大学校园的电费。拟议方法将多维时间序列预测和大规模优化的新办法结合起来。对Monash大学校园2020年11月的发电和消费时间序列都采用了渐进推动方法。对于消费预测,我们使用日志转换来模拟趋势和稳定差异。在适用的情况下,在模型投入中添加更多的季节性和趋势特征。所获得的预测被用作大学活动和电池使用时间表优化的基础负荷。优化的目的是最大限度地降低电力价格和电价峰值,这些电价包括因阶级活动和电池使用负荷而改变的电价和电峰值税以及不安排某些可选活动的处罚。班级活动的时间安排是通过利用变量矩阵适应演变战略和遗传算法进行进化优化获得的。随后,通过对每项活动进行可能的逐次测试,改进了本地搜索。电池时间表是设计由电价和电峰值电峰值税构成的电价,这些电价由电力价格和电峰值因课堂活动和电池的使用而改变,以及不安排某些可选活动。在使用GUBI解决方案和所有混合方法的情况下,通过使用这一混合方法来评估最低成本,从而解决了使用GUI-EE方案制定活动。