论文标题
分销网络中对风险敏感的太阳能托管能力分析的条件价值
Conditional Value at Risk-Sensitive Solar Hosting Capacity Analysis in Distribution Networks
论文作者
论文摘要
太阳能托管能力分析（HCA）评估了分销网络托管分布式太阳能生成的能力，而不会严重违反分配网络约束。在本文中，我们考虑了对风险敏感的HCA，该HCA限制了违反网络约束的风险，而太阳能辐照度和节点功率需求的方案集合通过风险（CVAR）度量的条件价值对风险进行建模。首先，我们考虑最大化总安装太阳能的问题，但要受风险限制，并将其作为二阶锥体程序（SOCP）解决，并具有标准的带有功率流程方程的可行设置的圆锥放松。其次，我们设计了一种增量算法来决定太阳能安装的配置是否具有通过CVAR建模的约束违规风险。该算法通过从进行的先验测试中逐步构造一组可接受的太阳能安装配置的内部和外部多面体近似来规避显式风险计算。我们的数值示例研究了风险参数的影响，场景数量和框架的可扩展性。
Solar hosting capacity analysis (HCA) assesses the ability of a distribution network to host distributed solar generation without seriously violating distribution network constraints. In this paper, we consider risk-sensitive HCA that limits the risk of network constraint violations with a collection of scenarios of solar irradiance and nodal power demands, where risk is modeled via the conditional value at risk (CVaR) measure. First, we consider the question of maximizing aggregate installed solar capacities, subject to risk constraints and solve it as a second-order cone program (SOCP) with a standard conic relaxation of the feasible set with power flow equations. Second, we design an incremental algorithm to decide whether a configuration of solar installations has acceptable risk of constraint violations, modeled via CVaR. The algorithm circumvents explicit risk computation by incrementally constructing inner and outer polyhedral approximations of the set of acceptable solar installation configurations from prior such tests conducted. Our numerical examples study the impact of risk parameters, the number of scenarios and the scalability of our framework.
