Harmonic Resonance Circuit´s Modeling and Simulation

Modeling and simulation is the important means for people to know and remake the world. Resonance is a special kind of working state of sinusoidal stable circuits. Parallel resonance and series resonance are the two more important parts of the harmonic resonance problem. Parallel resonance phenomenon is associated with the singularity of the node admittance matrix. The singularity is due to the fact that one of the eigenvalues of the matrix approaches zero. By analyzing the characteristics of the eigenvalue, one can find useful information on the nature and extent of the resonance. Similarly, due to the affinity between series resonance and loop, by analyzing loop impedance matrix instead of node impedance matrix can obtain series resonance frequency and corresponding branch information. Based on the results, resonance mode analysis can be used to analyze parallel resonance and loop mode analysis is proposed to analyze series resonance. Analytical and case study results by Matlab have confirmed that the mode analysis method is a valuable tool for power system harmonic resonance analysis.