A gray-box harmonic resonance frequency identification method of multiple-inverter-fed power system oriented to system designers

This paper presents a gray-box harmonic resonance frequency identification method of multiple-inverter-fed power system, which enables modal analysis oriented to system designers based on only frequency response data provided by diverse vendors or measured by frequency scanning. First, admittance transfer functions of all grid-connected inverters (GCIs) are fitted using Matrix Pencil Method-Vector Fitting (MPM-VF) combined method. Then, node admittance matrix (NAM) is formed according to the topology of whole system. Finally, harmonic resonance frequency along with changes in number of GCIs are identified by NAM-based modal analysis (MA). The proposed gray-box identification method is implemented in a typical multiple-inverter-fed power system. The correctness of harmonic resonance frequency identification results and the effectiveness of the presented method are verified by simulation results obtained in Matlab/Simulink platform and OPAL-RT digital real-time simulation platform. Based on the identification results, a more stable and better power quality multiple-inverter-fed power system can be built by system designers though avoiding the appearance of harmonic sources with corresponding resonance frequency.

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Iterative Matrix Pencil Method for Power System Modal Analysis

Proceedings of the 52nd Hawaii International Conference on System Sciences ◽

10.24251/hicss.2019.443 ◽

2019 ◽

Cited By ~ 2

Author(s):

Wei Trinh ◽

Komal Shetye ◽

Ikponmwosa Idehen ◽

Thomas Overbye

Keyword(s):

Power System ◽

Modal Analysis ◽

Matrix Pencil ◽

Matrix Pencil Method

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Comparison of Dynamic Mode Decompositon and Iterative Matrix Pencil Method for Power System Modal Analysis

2019 International Conference on Smart Grid Synchronized Measurements and Analytics (SGSMA) ◽

10.1109/sgsma.2019.8784536 ◽

2019 ◽

Author(s):

Wei Trinh ◽

Thomas Overbye

Keyword(s):

Power System ◽

Modal Analysis ◽

Matrix Pencil ◽

Dynamic Mode ◽

Matrix Pencil Method

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Harmonic Resonance Identification and Mitigation in Power System Using Modal Analysis

Energies ◽

10.3390/en14134017 ◽

2021 ◽

Vol 14 (13) ◽

pp. 4017

Author(s):

Jure Lokar ◽

Janja Dolenc ◽

Boštjan Blažič ◽

Leopold Herman

Keyword(s):

Resonance Frequency ◽

Modal Analysis ◽

Systematic Approach ◽

Harmonic Distortion ◽

Mode Analysis ◽

Sufficient Information ◽

Network Nodes ◽

Resonance Phenomena ◽

Harmonic Resonance ◽

Modal Resonance

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.

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