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Data-driven Convexification for Frequency Nadir Constraint of Unit Commitment

Yukang Shen, Wenchuan Wu, Bin Wang, Yue Yang, Yi Lin

2023Journal of Modern Power Systems and Clean Energy34 citationsDOIOpen Access PDF

Abstract

The increasing penetration of the renewable energy sources brings new challenges to the frequency security of power systems. In order to guarantee the system frequency security, frequency constraints are incorporated into unit commitment (UC) models. Due to the non-convex form of the frequency nadir constraint which makes the frequency constrained UC (FCUC) intractable, this letter proposes a revised support vector machine (SVM) based system parameter separating plane method to convexify it. Based on this data-driven convexification method, we obtain a tractable FCUC model which is formulated as a mixed-integer quadratic programming (MIQP) problem. Case studies indicate that the proposed method can obtain less conservative solution than the existing methods with higher efficiency.

Topics & Concepts

Mathematical optimizationElectric power systemPower system simulationNadirSequential quadratic programmingQuadratic programmingQuadratic equationConstraint (computer-aided design)Computer scienceCutting-plane methodRegular polygonInteger programmingControl theory (sociology)Power (physics)MathematicsEngineeringArtificial intelligenceAerospace engineeringPhysicsGeometrySatelliteQuantum mechanicsControl (management)Frequency Control in Power SystemsMicrogrid Control and OptimizationPower Systems and Renewable Energy
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