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Risk-Based Hosting Capacity Analysis in Distribution Systems
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DOI：10.1109/TPWRS.2023.3238846.png)
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Abstract
En 中文
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 of the 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.
Keywords:
Mathematical models
Planning
Distribution networks
Stochastic processes
Reactive power
Voltage
Renewable energy sources
Hosting capacity analysis
distributed solar
conditional value at risk
Journal
IF:
7.2
Papers:
1.1W
Citations:
5.0W
