有可再生能源和电力存储设施并网的智能电网优化用电策略

doi:10.16381/j.cnki.issn1003-207x.2019.02.015

中国管理科学 ›› 2019, Vol. 27 ›› Issue (2): 150-157.doi: 10.16381/j.cnki.issn1003-207x.2019.02.015

有可再生能源和电力存储设施并网的智能电网优化用电策略

陶莉^1,2, 高岩¹, 朱红波², 曹磊¹

1. 上海理工大学管理学院, 上海 200093;
2. 淮阴工学院数理学院, 江苏淮安 223003

收稿日期:2017-06-03 修回日期:2017-09-01 出版日期:2019-02-20 发布日期:2019-04-24
通讯作者: 高岩(1962-),男(汉族),黑龙江五常人,上海理工大学管理学院教授,博导,研究方向:智能电网定价机制、非光滑优化等,E-mail:gaoyan@usst.edu.cn. E-mail:gaoyan@usst.edu.cn
基金资助:
国家自然科学基金资助项目（11171221）；美国IBM公司共享大学项目（Optimization Methods on Smart Grids）

Optimal Scheduling for Smart Grids with the Integration of Renewable Resourcesand Storage Devices

TAO Li^1,2, GAO Yan¹, ZHU Hong-bo², CAO Lei¹

1. School of Management, Shanghai University of Science and Technology, Shanghai 200093, China;
2. School of Mathematics and Physics, Huaiyin Institute of Technology, Huai'an 223003, China

Received:2017-06-03 Revised:2017-09-01 Online:2019-02-20 Published:2019-04-24

摘要/Abstract

摘要： 大量可再生能源和存储设施集中或分布接入电网，缓解了电网的供给压力，但同时也对电力系统安全造成新的威胁。合理使用新能源和可存储设施使之更好为电网服务，是现代电网亟待解决的一个问题。本文对有可存储设备和可再生能源并网的电力系统进行研究，根据可再生能源在实际生活中的情形，将其划分为两类：私人新能源发电和公共新能源发电，其中私人新能源发电可供自身直接使用，多余部分并入电网，而公共新能源发电直接并入电网，然后针对上述复杂情形，结合用户实际需求，以所有用户效用最大化、成本最小化为目标函数，建立优化模型，给出了一种既有可存储设备又有可再生能源复杂并网情况下用户优化用电策略——包括家用电器、新能源、以及存储设备充放电策略。对模型的性质进行研究，考虑到模型是凸规划，强对偶成立，用拉格朗日对偶算法给出了模型的解。求解过程中，由于目标函数是非光滑的，采用光滑化的技术将目标函数光滑化，将非光滑问题转化为光滑问题，进一步利用拟牛顿下降法求解。该策略能确保新能源得到优先、充分利用，体现用户效用最大化、成本最小化，同时可以避免由于新能源并网可能会造成电网不稳定情况的出现；光滑化的方法不但适用于本文，经过适当改进后也可适用于其他目标函数为非光滑的情况。仿真结果验证了模型的合理性和算法的可行性。

关键词: 智能电网, 需求侧管理, 可再生能源, 电力存储设施, 拉格朗日对偶方法, 非光滑优化, 拟牛顿法

Abstract: With a large number of renewable energy and storage facilities centralized or distributed accessible to the grid, the supply pressure of the power grid is eased, but at the same time, a new threat to the safety of power systems arises.Rational use of new energy and storage facilities to better serve the grid is an urgent problem for the modern grid.In this paper, a study on smart grid with the integration of renewable energy and storage equipments is made. According to the complex situation of renewable energy, they are first diviede two categories:one is private renewable energy and the other is public renewable energy.Private renewable energy can be used for users directly, and the excess part will be put into the grid.However,public renewable energy will be put into the griddirectly.Then, aiming at the above complex situation, combining with the actual demand of the user, an optimized strategy of rational use of renewable energy and storage equipment is given based on the maximization of users' utility and the minimization of users' cost. The properties of the model are also studied. Considering that the model is a convex programming and strong duality is founded, the solution of the model is given by Lagrangian dual algorithm. In the process of solving, because the objective function is non-smooth, the smoothing method is used to smooth the objective function,which transforms the optimal value of the non-smooth function into that of the smoothing function,and then the problem is further solved by the quasi-Newton method.This strategy not only gives priority to the use of renewable energy but also makes the most of it while maximizing users utility and minimizing cost.This strategy also avoids instability of grid caused by renewable energy, and the method of smoothing is applicable not only to this article, but also to the case where the objective functions are not differentiable.Simulation results verify the rationality of the model and the feasibility of the algorithm.

Key words: smart grid, demand side management, renewable energy, storage device, Lagrangian dual method, non-smooth optimization, Quasi-Newton method

中图分类号:

TM743
O224

陶莉, 高岩, 朱红波, 曹磊. 有可再生能源和电力存储设施并网的智能电网优化用电策略[J]. 中国管理科学, 2019, 27(2): 150-157.

TAO Li, GAO Yan, ZHU Hong-bo, CAO Lei. Optimal Scheduling for Smart Grids with the Integration of Renewable Resourcesand Storage Devices[J]. Chinese Journal of Management Science, 2019, 27(2): 150-157.

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有可再生能源和电力存储设施并网的智能电网优化用电策略

Optimal Scheduling for Smart Grids with the Integration of Renewable Resourcesand Storage Devices

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