Decentralized Stochastic Control of Distributed Energy Resources
Decentralized Stochastic Control of Distributed Energy Resources
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DOI：
10.1109/tpwrs.2017.2700472
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发表时间：
2016-11
影响因子：
6.6
通讯作者：
Weixuan Lin;E. Bitar
中科院分区：
文献类型：
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作者：
Weixuan Lin;E. Bitar
研究了具有可控光伏逆变器和储能资源的放射状配电网的分散控制问题。对于这类系统，我们研究了设计完全分散控制器的问题，使平衡需求的期望成本最小，同时保证满足单个资源和配电系统电压约束。利用支流模型的线性近似，我们将该问题描述为一个分散扰动反馈控制器的设计问题，该控制器在系统状态和输入的鲁棒凸二次约束下最小化凸二次代价函数的期望值。由于这类问题通常在计算上是困难的，我们得到了这种分散控制问题的一个易于处理的内逼近，它使得通过求解有限维二次规划来有效地计算仿射控制策略成为可能。由于仿射策略对于所考虑的系统族来说一般是次优的，我们提供了一种有效的方法来通过另一个有限维锥规划的最优解来限定它们的次优性。以12千伏辐射配电系统为例，证明了分散仿射控制器可以获得接近最优的控制效果。
We consider the decentralized control of radial distribution systems with controllable photovoltaic inverters and energy storage resources. For such systems, we investigate the problem of designing fully decentralized controllers that minimize the expected cost of balancing demand, while guaranteeing the satisfaction of individual resource and distribution system voltage constraints. Employing a linear approximation of the branch flow model, we formulate this problem as the design of a decentralized disturbance-feedback controller that minimizes the expected value of a convex quadratic cost function, subject to robust convex quadratic constraints on the system state and input. As such problems are, in general, computationally intractable, we derive a tractable inner approximation to this decentralized control problem, which enables the efficient computation of an affine control policy via the solution of a finite-dimensional conic program. As affine policies are, in general, suboptimal for the family of systems considered, we provide an efficient method to bound their suboptimality via the optimal solution of another finite-dimensional conic program. A case study of a 12 kV radial distribution system demonstrates that decentralized affine controllers can perform close to optimal.