梯级补偿效益分摊的变异系数-Shapley值法

针对流域水能梯级开发中各水电站隶属于不同业主，在梯级水电站补偿效益分摊中既要保证梯级整体效益最大化，又要满足分摊结果公平合理的问题，将变异系数法与Shapley值法相结合，提出多业主梯级水电站补偿效益分摊的变异系数-Shapley值法，并将其应用于汉江中游南河流域梯级中的三级水电站补偿效益分摊实例中。结果表明，该方法不仅考虑了各水电站在参与联合调度时的自身贡献率，同时也兼顾了各水电站自身的装机容量、保证出力、调节库容、多年平均发电量等个体特征，实现了各水电站间补偿效益分摊的公平性与合理性，有利于提高各级水电站参与梯级联合调度的积极性，确保流域梯级联合调度效益最大化。

Variation coefficient-Shapley value method for compensation benefits allocation of cascade hydropower stations

In view of the fact that hydropower stations in a river basin are the estate of different owners, the compensation benefit allocation of cascade stations should not merely ensure the maximization of overall benefit but meet equity and rationality. This paper describes a new method for compensation benefit allocation of the multi-owner stations, namely the variation coefficient-Shapley value method or a combination of the variation coefficient method and the Shapley value method, and applies it to the three-level cascade stations in the Nanhe valley of the middle Hanjiang. Results show that this method not only considers the contribution rates by various hydropower plants in joint scheduling, but also takes into account each plant’s capacity, output, adjustable reservoir capacity, multi-year average power generation and other individual characteristics. Thus, it helps achieve the equity and rationality of the allocation and promote each plant’s participation in the cascade joint dispatching, ensuring the benefit maximization of cascade joint scheduling.