Application of singular value sensitivity on harmonic resonance analysis for inverter-based power systems

Harmonic resonance issues have been attracted more and more attention due to a large number of power electronic inverters being used in power systems. In this paper, in order to have a deep insight into resonances, the singular value sensitivities with respect to component parameters of the network and the control parameters of inverters are used for harmonic resonance analysis based on Singular Value Decomposition theory, which can investigate the influence of parameter variation on harmonic resonances. These parameters can be classified into two categories: 1) resonance-frequency dominant parameters, including capacitive and inductive component parameters in the network; and 2) resonance-amplitude dominant parameters, including resistive component and control system parameters. The simulation and calculation results of the case study verify the effectiveness of singular value sensitivities.

[1]  J L Agorreta,et al.  Modeling and Control of $N$ -Paralleled Grid-Connected Inverters With LCL Filter Coupled Due to Grid Impedance in PV Plants , 2011, IEEE Transactions on Power Electronics.

[2]  Raffaele Persico The Singular Value Decomposition , 2014 .

[3]  Zhiyong CHEN,et al.  Generalized coupling resonance modeling, analysis, and active damping of multi-parallel inverters in microgrid operating in grid-connected mode , 2016 .

[4]  Xinbo Ruan,et al.  Full-Feedforward Schemes of Grid Voltages for a Three-Phase $LCL$-Type Grid-Connected Inverter , 2013, IEEE Transactions on Industrial Electronics.

[5]  John Shen,et al.  Harmonic resonance analysis method based on singular value decomposition theory , 2017, 2017 IEEE Power & Energy Society General Meeting.

[6]  Frede Blaabjerg,et al.  Efficient approach for harmonic resonance identification of large Wind Power Plants , 2016, 2016 IEEE 7th International Symposium on Power Electronics for Distributed Generation Systems (PEDG).

[7]  Wilsun Xu,et al.  Harmonic resonance mode analysis , 2005, IEEE Transactions on Power Delivery.

[8]  Wilsun Xu,et al.  Application of Modal Sensitivity for Power System Harmonic Resonance Analysis , 2007, IEEE Transactions on Power Systems.

[9]  J. Mahomar,et al.  A New Mathematic Algorithm to Analyze Power Distribution Systems With Active Compensation and Nonlinear Loads , 2008, IEEE Transactions on Power Delivery.

[10]  Wen Huang,et al.  Characteristics and Restraining Method of Fast Transient Inrush Fault Currents in Synchronverters , 2017, IEEE Transactions on Industrial Electronics.

[11]  Frede Blaabjerg,et al.  Multi-objective optimization of large wind farm parameters for harmonic instability and resonance conditions , 2016, 2016 IEEE 17th Workshop on Control and Modeling for Power Electronics (COMPEL).

[12]  A.Z. Gamm,et al.  Solving several problems of power systems using spectral and singular analyses , 2005, IEEE Transactions on Power Systems.

[13]  Xinbo Ruan,et al.  Step-by-Step Controller Design for LCL-Type Grid-Connected Inverter with Capacitor–Current-Feedback Active-Damping , 2014 .

[14]  Yang Hu,et al.  Dynamic Stability Analysis of Synchronverter-Dominated Microgrid Based on Bifurcation Theory , 2017, IEEE Transactions on Industrial Electronics.

[15]  Steven J. Cox,et al.  The Singular Value Decomposition and Applications , 2017 .

[16]  Yang Li,et al.  Active damping control of multiple resonances for grid-connected inverter with long transmission cable , 2016, 2016 IEEE International Conference on Industrial Technology (ICIT).