Quantum mechanics

Interior point method

Engineering

Linear programming

Ambiguity

Power (physics)

Computer science

Mathematical optimization

Robust optimization

Physics

Nonlinear system

Mathematics

Electric power system

Geometry

Interval (graph theory)

Wind power

Combinatorics

Programming language

Power system simulation

Convex optimization

Economic dispatch

Regular polygon

Nonlinear programming

Electrical engineering

IEEE Transactions on Sustainable Energy

This paper proposes a confidence interval based distributionally robust real-time economic dispatch (CI-DRED) approach, which considers the risk related to accommodating wind power.In this paper, only the wind power curtailment and load shedding due to wind power disturbances are evaluated in the operational risk.The proposed approach can strike a balance between the operational costs and risk even when the wind power probability distribution cannot be precisely estimated.A novel ambiguity set is developed based on the imprecise probability theory, which can be constructed based on the point-wise or family-wise confidence intervals.The worst pair of distributions in the established ambiguity set is then identified, and the original CI-DRED problem is transformed into a determined nonlinear dispatch problem accordingly.By using the sequential convex optimization method and piecewise linear approximation method, the nonlinear dispatch model is reformulated as a mixed integer linear programming problem, for which off-the-shelf solvers are available.A fast inactive constraint filtration method is also applied to further relieve the computational burden.Numerical results on the IEEE 118-bus system and a real 445-bus system verify the effectiveness and efficiency of the proposed approach.

Confidence Interval Based Distributionally Robust Real-Time Economic Dispatch Approach Considering Wind Power Accommodation Risk