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Modal Frequency Sensitivity Analysis and Application Using Complex Nodal Matrix

Modal impedance sensitivity and modal frequency sensitivity are two important characteristics of resonance modal analysis. Modal sensitivity is to calculate the sensitivity of a resonance mode against the parameters of network components. The eigendecomposition of a real matrix transformed from a complex matrix not only increases the dimension of nodal admittance matrix, but also creates two equal resonance frequencies in different modes. In this letter, a modal frequency sensitivity analysis using original complex nodal matrix (CMFS) is presented. The results obtained by this method are compared with those by realistic modal frequency sensitivity (RMFS) and the simulation verifies that this method possesses higher accuracy and applicability than that of RMFS. CMFS can determine each no-coupling resonance mode and investigate frequency sensitivity with respect to network component parameters. In addition, Newton's method is introduced to the shift of resonance frequency cooperating with the CMFS.