Chance-Constrained AC Optimal Power Flow -- A Polynomial Chaos Approach
For power system operators, it provides a more detailed and flexible approach to manage renewable uncertainty in grid operation.
The paper proposes a method using polynomial chaos expansion to solve chance-constrained AC optimal power flow under stochastic uncertainties, enabling accurate computation of moments and constraint satisfaction. Case studies demonstrate efficacy in handling nonlinear AC power flow equations.
As the share of renewables in the grid increases, the operation of power systems becomes more challenging. The present paper proposes a method to formulate and solve chance-constrained optimal power flow while explicitly considering the full nonlinear AC power flow equations and stochastic uncertainties. We use polynomial chaos expansion to model the effects of arbitrary uncertainties of finite variance, which enables to predict and optimize the system state for a range of operating conditions. We apply chance constraints to limit the probability of violations of inequality constraints. Our method incorporates a more detailed and a more flexible description of both the controllable variables and the resulting system state than previous methods. Two case studies highlight the efficacy of the method, with a focus on satisfaction of the AC power flow equations and on the accurate computation of moments of all random variables.