IEEE Trans Cybern. 2022 Jun;52(6):5124-5135. doi: 10.1109/TCYB.2020.3027572. Epub 2022 Jun 16.
These days, the increasing incremental cost consensus-based algorithms are designed to tackle the economic dispatch (ED) problem in smart grids (SGs). However, one principal obstruction lies in privacy disclosure for generators and consumers in electricity activities between supply and demand sides, which may bring great losses to them. Hence, it is extraordinarily essential to design effective privacy-preserving approaches for ED problems. In this article, we propose a two-phase distributed and effective heterogeneous privacy-preserving consensus-based (DisEHPPC) ED scheme, where a demand response (DR)-based framework is constructed, including a DR server, data manager, and a set of local controllers. The first phase is that Kullback-Leibler (KL) privacy is guaranteed for the privacy of consumers' demand by the differential privacy method. The second phase is that (ε,δ) -privacy is, respectively, achieved for the generation energy of generators and the sensitivity of electricity consumption to electricity price by designing the privacy-preserving incremental cost consensus-based (PPICC) algorithm. Meanwhile, the proposed PPICC algorithm tackles the formulated ED problem. Subsequently, we further carry out the detailed theoretical analysis on its convergence, optimality of final solution, and privacy degree. It is found that the optimal solution for the ED problem and the privacy preservation of both supply and demand sides can be guaranteed simultaneously. By evaluation of a numerical experiment, the correctness and effectiveness of the DisEHPPC scheme are confirmed.
如今,基于递增成本共识的算法旨在解决智能电网中的经济调度(ED)问题。然而,主要障碍之一在于供需双方电力活动中的发电机和消费者的隐私泄露,这可能给他们带来巨大损失。因此,设计有效的 ED 问题隐私保护方法至关重要。本文提出了一种两阶段分布式有效异构隐私保护共识的(DisEHPPC)ED 方案,其中构建了一个基于需求响应(DR)的框架,包括一个 DR 服务器、数据管理器和一组本地控制器。第一阶段通过差分隐私方法保证消费者需求隐私的 Kullback-Leibler(KL)隐私。第二阶段通过设计隐私保护递增成本共识的(PPICC)算法,分别为发电机的发电能源和用电对电价的敏感度实现(ε,δ)-隐私。同时,所提出的 PPICC 算法解决了所制定的 ED 问题。随后,我们进一步对其收敛性、最终解决方案的最优性和隐私程度进行了详细的理论分析。结果表明,ED 问题的最优解和供需双方的隐私保护可以同时得到保证。通过数值实验的评估,验证了 DisEHPPC 方案的正确性和有效性。