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A Wasserstein Distance-Based Distributionally Robust Chance-Constrained Clustered Generation Expansion Planning Considering Flexible Resource Investments

Baorui Chen, Tianqi Liu, Xuan Liu, Chuan He, Lu Nan, Lei Wu, Xueneng Su, Jian Zhang

2022IEEE Transactions on Power Systems38 citationsDOI

Abstract

This paper proposes a distributionally robust chance-constrained (DRCC) model for the clustered generation expansion planning (CGEP) of power systems. The proposed two-stage model minimizes the first-stage total cost along with the second-stage expected penalty cost with the worst-case probability distribution of renewable energy generation. A unit commitment model with flexibility constraints is embedded into the planning model, and the uncertainty is modeled via a Wasserstein distance (WD)-based ambiguity set. Demand-side resources (DSR) and concentrating solar power (CSP) plants are considered as candidates in the DRCC-CGEP model to enhance system flexibility, and the solution efficiency is improved through unit clustering. Furthermore, based on strong duality theory along with affine decision rule and conditional-value-at-risk approximation method, the proposed planning model is reformulated as a tractable mixed-integer linear programming problem. Numerical results show that the proposed WD-based DRCC-CGEP model is effective in improving the economics of the planning decisions while ensuring system reliability and maintaining computational efficiency.

Topics & Concepts

Mathematical optimizationRobust optimizationFlexibility (engineering)Computer scienceStrong dualityAffine transformationLinear programmingInteger programmingPower system simulationElectric power systemAmbiguityOptimization problemPower (physics)MathematicsProgramming languagePhysicsQuantum mechanicsStatisticsPure mathematicsElectric Power System OptimizationRisk and Portfolio OptimizationEnergy Load and Power Forecasting