Admittance-Based Stability Analysis: Bode Plots, Nyquist Diagrams or Eigenvalue Analysis?
Lingling Fan, Zhixin Miao
Abstract
In the literature, Bode plots and Nyquist diagrams are used extensively in stability analysis for admittance-based models. In this letter, we demonstrate that eigenvalues obtained from the total admittance lead to accurate prediction of stability while Bode plots and Nyquist diagrams show limitations. A voltage source converter with weak grid interconnection is used as an illustrative example to demonstrate the pros and cons of the three methods applied to dq-frame admittance matrices.
Topics & Concepts
AdmittanceNyquist plotBode plotNyquist stability criterionNyquist frequencyNyquist–Shannon sampling theoremStability (learning theory)Control theory (sociology)Eigenvalues and eigenvectorsMathematicsAdmittance parametersFrequency responseMathematical analysisApplied mathematicsTransfer functionTopology (electrical circuits)Computer scienceElectrical impedanceVoltageEngineeringPhysicsStatisticsElectrical engineeringFilter (signal processing)Control (management)Quantum mechanicsParametric statisticsMachine learningDielectric spectroscopyArtificial intelligenceElectrodeElectrochemistryCombinatoricsMicrogrid Control and OptimizationAdvanced DC-DC ConvertersHVDC Systems and Fault Protection