A Novel Lyapunov Function for Transient Synchronization Stability Analysis of Grid-Following Converters
Wenze Ding, Changjun He, Hua Geng, Yushuang Liu
Abstract
Lyapunov's direct method plays an important role as a very commonly used analytical tool in studies on transient synchronization stability (TSS) of grid-following converters. To bridge the gap that energy-type Lyapunov function (LF) is only effective in the positive damping area and thus too conservative, a novel LF whose domain of definition includes part of negative damping area is proposed for TSS analysis of grid-following converters. Its corresponding TSS criterion and estimated region of attraction (ROA) exhibit significantly reduced yet still guaranteed conservativeness, endowing them with more practical value and higher efficiency in analytical TSS assessment works.
Topics & Concepts
Control theory (sociology)ConvertersLyapunov functionTransient (computer programming)Synchronization (alternating current)GridStability (learning theory)Computer scienceFunction (biology)MathematicsEngineeringTopology (electrical circuits)VoltagePhysicsControl (management)Nonlinear systemElectrical engineeringMachine learningBiologyQuantum mechanicsArtificial intelligenceOperating systemEvolutionary biologyGeometryMicrogrid Control and OptimizationPower Systems and Renewable EnergyHigh-Voltage Power Transmission Systems