Hybrid Stochastic and Interval Power Flow Considering Uncertain Wind Power and Photovoltaic Power

It is an important means for knowing something about the influence of uncertain factors on the power flow state to calculate uncertain power flow. In this paper, the uncertain power flow problem considering wind power and photovoltaic power generation is studied. The interval distribution models of wind power and photovoltaic power generation are established by expressing the natural factors such as wind speed and light intensity as interval variables, and an uncertain power flow model of hybrid stochastic and interval variables is established by expressing the node load as the stochastic variable to obey the Gaussian distribution. A double-layer Monte Carlo method is proposed to solve it. The numerical results obtained by the IEEE-30 bus system show that the proposed model and method are effective, by which the maximum and minimum cumulative probability functions of the power flow state can be obtained, thus determining whether the probabilistic interval of the power flow state is out-of-limit (maximum probability and minimum probability).