Maximal Renewable Power Penetration Computation with Augmented Lagrangian Alternative Direction Inexact Newton Method

Yunkai Lei, Xiong Yang, Donglai Xiao, Jinchuan Han
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Abstract

Global warming and environmental pollution concerns have promoted dramatic penetration of renewable energy sources all over the world. The problem of estimating the maximal power penetration of renewable energy can be formulated as an optimal power flow problem. In this paper, we apply augmented Lagrangian alternating direction inexact Newton (ALADIN) method to solve this optimization problem. The ALADIN method uses inexact Hessians which can reduce the communication compared with alternating direction of multipliers method (ADMM). The numerical studies on 30 bus system indicating that the ALADIN method is much faster than the ADMM and can reduce the number of iterations by about one order of magnitude.
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增广拉格朗日替代方向非精确牛顿法的最大可再生电力渗透计算
全球变暖和对环境污染的担忧促使可再生能源在世界各地急剧渗透。估计可再生能源的最大功率渗透问题可表述为最优潮流问题。本文采用增广拉格朗日交替方向不精确牛顿(ALADIN)方法求解这一优化问题。ALADIN方法使用了不精确的Hessians,与交替方向乘法相比较,减少了通信。在30总线系统上的数值研究表明,ALADIN方法比ADMM方法速度快得多,迭代次数减少约一个数量级。
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