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arXiv 1601.04023eess.SYcs.SY
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分布式网络中含分布式发电的随机最优功率流

Decentralized Stochastic Optimal Power Flow in Radial Networks with Distributed Generation

University of Texas at San Antonio(得克萨斯大学圣安东尼奥分校)

Mohammadhafez Bazrafshan, Nikolaos Gatsis

AI总结:

本文提出一种联合优化可控负荷有功功率和光伏逆变器无功功率的配电网络管理方案,通过随机变量建模光伏出力不确定性,利用二次锥松弛方法构建凸随机规划,以最小化用户效用损失、供电成本和热损耗为目标,验证了算法在典型住宅配电网络中的效率。

摘要:

本文开发了一种电力管理方案,该方案联合优化可编程负载的有功功率消耗和光伏(PV)逆变器的无功功率输出。其前提是确定考虑太阳能功率随机可用性的最优需求响应计划,以及控制PV逆变器的无功功率生成或消耗,以适应所有PV单元的有功功率注入。这些不确定的有功功率注入由光伏单元建模为取值于有限可能场景的随机变量。通过使用功率流方程的二次锥松弛,构建了一个凸随机规划。目标是最小化负用户效用、供电成本和热损耗,同时约束电压保持在指定水平内。为了找到全局最优解,通过交替方向乘子法开发了一种去中心化算法,该算法在每个节点和每个场景下产生闭式更新,使其适合在具有大量场景的配电网络中实施。数值测试和与替代确定性方法的比较为典型住宅配电网络提供了验证,确认了算法的效率。

英文摘要:

This paper develops a power management scheme that jointly optimizes the real power consumption of programmable loads and reactive power outputs of photovoltaic (PV) inverters in distribution networks. The premise is to determine the optimal demand response schedule that accounts for the stochastic availability of solar power, as well as to control the reactive power generation or consumption of PV inverters adaptively to the real power injections of all PV units. These uncertain real power injections by PV units are modeled as random variables taking values from a finite number of possible scenarios. Through the use of second order cone relaxation of the power flow equations, a convex stochastic program is formulated. The objectives are to minimize the negative user utility, cost of power provision, and thermal losses, while constraining voltages to remain within specified levels. To find the global optimum point, a decentralized algorithm is developed via the alternating direction method of multipliers that results in closed-form updates per node and per scenario, rendering it suitable to implement in distribution networks with large number of scenarios. Numerical tests and comparisons with an alternative deterministic approach are provided for typical residential distribution networks that confirm the efficiency of the algorithm.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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