Abstract
Due to a rising share of power electronic devices in power networks and the consequent rise in harmonic distortion, impedance resonances are an important issue. Nowadays, the frequency scan method is used for resonance phenomena identification and analysis. The main disadvantage of the method is its inability to decouple different resonance phenomena. This means that the method is also unable to provide sufficient information about the effects that the parameters of network elements have on different resonance phenomena. Furthermore, it was also noted that despite the fact that the harmonic resonance mode analysis is well described in the literature, there is a lack of systematic approach to the analysis procedure. Thus the main objective of this paper is to address this disadvantage and to propose a systematic approach to harmonic resonance analysis and mitigation, utilizing modal analysis. In the first part of the paper, dominant network nodes in terms of resonance amplification of harmonics are determined. This is done by analysis of the eigenvalues of the network admittance matrix. Using the eigenvalue analysis results, key parameters of network elements involved in a specific resonance are determined next. This is performed by calculating the critical mode (i.e., the mode that experiences resonance) sensitivity coefficients with respect to network parameters. In the second part of the paper, the procedure for modal resonance frequency shift is presented. The shift is performed by changing the value of a selected parameter so that the modal resonance frequency matches the desired resonance frequency value. The parameter value is calculated with the Newton–Rhapson method. Presented analysis considers both parallel and series resonances. The effectiveness of the proposed method is demonstrated on an actual industrial-network model.
Highlights
Excessive levels of harmonic distortion may be detrimental to the network and connected devices, as it can disrupt their operation and, in extreme cases, even cause their failure
The implemented network nodal admittance matrix modification for series resonance modal analysis was performed by deleting the row and the column referring to the analyzed node
Further analyses are performed for both parallel and frequency and modal impedance magnitude sensitivity calculation and the bus series resonances. They consist of modal eigen-decomposition, modal resonance frequency impedance mitigation with modal sensitivity resonance frequency and modal impedance magnitude calculationshift
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. The second issue was noticed during the modal resonance frequency shift It was observed, that the numbering of the modal impedances may change after the new value of the adjusted parameter is calculated during a Newton–. The main objective of this paper is to propose a systematic approach to harmonic resonance (parallel and series) analysis and mitigation utilizing the HRMA method. The algorithm for calculation of more accurate resonance frequency values of the resonance modes is presented to address the issues with calculation step dependence of modal sensitivity indices. Modal sensitivity analyses of impedance magnitude and resonance frequency are performed next to determine the influence of network parameters on both quantities. Based on the results of all the previous calculations, the harmonic resonance mitigation method is presented to adjust the resonance frequencies of the modal impedances. Tested by means of simulations on an actual industrial network model
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