Effect of Reactive Power Characteristic of Offshore Wind Power Plant on Low-Frequency Stability

Oscillation phenomena of offshore wind power plant (OWPP) in a wide frequency range can be caused due to impedance interactions between grid-connected inverters (GCIs) and transmission cables. In this article, impedance model of GCI with outer power control loop, inner current control loop and phase-locked loop is first established in dq reference frame. The correctness is validated by frequency scanning method. Then, the effects of active and reactive power/current references on dq impedance characteristics of GCI with/without consideration of power control loop are investigated using complex space vectors and complex transfer functions. Furthermore, RLC circuit model of transmission cable considering frequency-dependent characteristics is also established for dq-domain IBSC. On the basis of them, it's found that low-frequency oscillation phenomena of OWPP under power control mode may occur if active power reference exceeds a certain threshold value, which can be mitigated by injecting a certain amount of negative reactive power. Impacts of PLL parameters, length of transmission cable and number of paralleled GCIs on required negative reactive power for low-frequency stabilization are further investigated. Both Matlab/Simulink-based simulation and OPAL-RT-based real-time verification are implemented in an OWPP with four permanent magnet synchronous generators to validate the correctness of the reactive power characteristic analysis results and the feasibility of mitigating low-frequency oscillation phenomena by negative reactive power injection.

[1]  M. Molinas,et al.  On the Equivalence and Impact on Stability of Impedance Modeling of Power Electronic Converters in Different Domains , 2017, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[2]  Yonggang Peng,et al.  Different Influence of Grid Impedance on Low- and High-Frequency Stability of PV Generators , 2019, IEEE Transactions on Industrial Electronics.

[3]  Xu Cai,et al.  Frequency Domain Stability Analysis of MMC-Based HVdc for Wind Farm Integration , 2016, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[4]  Xudong Zou,et al.  An Improved Design of Current Controller for LCL-Type Grid-Connected Converter to Reduce Negative Effect of PLL in Weak Grid , 2018, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[5]  Xu Cai,et al.  Impact of Power Flow Direction on the Stability of VSC-HVDC Seen From the Impedance Nyquist Plot , 2017, IEEE Transactions on Power Electronics.

[6]  Jon Are Suul,et al.  Frequency-dependent cable modelling for small-signal stability analysis of VSC-HVDC systems , 2016 .

[7]  Rabih A. Jabr,et al.  Linear Decision Rules for Control of Reactive Power by Distributed Photovoltaic Generators , 2018, IEEE Transactions on Power Systems.

[8]  Xiongfei Wang,et al.  Harmonic Instability Assessment Using State-Space Modeling and Participation Analysis in Inverter-Fed Power Systems , 2017, IEEE Transactions on Industrial Electronics.

[9]  A. Semlyen,et al.  Rational approximation of frequency domain responses by vector fitting , 1999 .

[10]  Dong Liu,et al.  Optimization of Active and Reactive Power Dispatch among Multi-Paralleled Grid-Connected Inverters Considering Low-Frequency Stability , 2019, IECON 2019 - 45th Annual Conference of the IEEE Industrial Electronics Society.

[11]  Leila Parsa,et al.  Impedance Modeling of Three-Phase Voltage Source Converters in DQ, Sequence, and Phasor Domains , 2017, IEEE Transactions on Energy Conversion.

[12]  T. Sarkar,et al.  Analysis of Multiconductor Transmission Lines , 1988, 31st ARFTG Conference Digest.

[14]  M. Liserre,et al.  Stability of photovoltaic and wind turbine grid-connected inverters for a large set of grid impedance values , 2006, IEEE Transactions on Power Electronics.

[15]  Jon Are Suul,et al.  Identification and small-signal analysis of interaction modes in VSC MTDC systems , 2016, 2016 IEEE Power and Energy Society General Meeting (PESGM).

[16]  Xiaorong Xie,et al.  Comparative Studies on the Impedance Models of VSC-Based Renewable Generators for SSI Stability Analysis , 2019, IEEE Transactions on Energy Conversion.

[17]  Tuomas Messo,et al.  Accurate Impedance Model of Grid-Connected Inverter for Small-Signal Stability Assessment in High-Impedance Grids , 2018, 2018 International Power Electronics Conference (IPEC-Niigata 2018 -ECCE Asia).

[18]  Khaled Mohammad Alawasa,et al.  Active Mitigation of Subsynchronous Interactions Between PWM Voltage-Source Converters and Power Networks , 2014, IEEE Transactions on Power Electronics.

[19]  Zhe Chen,et al.  Impedance-Decoupled Modeling Method of Multiport Transmission Network in Inverter-Fed Power Plant , 2020, IEEE Transactions on Industry Applications.

[20]  Bo Wen,et al.  Analysis of D-Q Small-Signal Impedance of Grid-Tied Inverters , 2016, IEEE Transactions on Power Electronics.

[21]  Zheng Li,et al.  Reduced-Order Small-Signal Models of Modular Multilevel Converter and MMC-Based HVdc Grid , 2019, IEEE Transactions on Industrial Electronics.

[22]  Marco Liserre,et al.  Reactive Power Flow Control for PV Inverters Voltage Support in LV Distribution Networks , 2017, IEEE Transactions on Smart Grid.

[23]  Shuai Jiang,et al.  Resonance Issues and Damping Techniques for Grid-Connected Inverters With Long Transmission Cable , 2014, IEEE Transactions on Power Electronics.

[24]  Yi Tang,et al.  Stability Improvement for Three-Phase Grid-Connected Converters Through Impedance Reshaping in Quadrature-Axis , 2018, IEEE Transactions on Power Electronics.

[25]  Marta Molinas,et al.  A Gray-Box Method for Stability and Controller Parameter Estimation in HVDC-Connected Wind Farms Based on Nonparametric Impedance , 2019, IEEE Transactions on Industrial Electronics.

[26]  Frede Blaabjerg,et al.  Symmetrical PLL for SISO Impedance Modeling and Enhanced Stability in Weak Grids , 2020, IEEE Transactions on Power Electronics.

[27]  Frede Blaabjerg,et al.  Unified Impedance Model of Grid-Connected Voltage-Source Converters , 2018, IEEE Transactions on Power Electronics.

[28]  W.L. Kling,et al.  HVDC Connection of Offshore Wind Farms to the Transmission System , 2007, IEEE Transactions on Energy Conversion.

[29]  Yipeng Song,et al.  Analysis of High-Frequency Resonance in DFIG-Based Offshore Wind Farm via Long Transmission Cable , 2018, IEEE Transactions on Energy Conversion.

[30]  I. Erlich,et al.  Reactive Power Generation by DFIG Based Wind Farms with AC Grid Connection , 2007, 2007 IEEE Lausanne Power Tech.

[31]  Haoran Zhao,et al.  Combined Active and Reactive Power Control of Wind Farms Based on Model Predictive Control , 2017, IEEE Transactions on Energy Conversion.

[32]  F. Blaabjerg,et al.  Power electronics as efficient interface in dispersed power generation systems , 2004, IEEE Transactions on Power Electronics.

[33]  Lingling Fan,et al.  Impedance-Based Resonance Analysis in a VSC-HVDC System , 2013, IEEE Transactions on Power Delivery.

[34]  Lennart Harnefors,et al.  Modeling of Three-Phase Dynamic Systems Using Complex Transfer Functions and Transfer Matrices , 2007, IEEE Transactions on Industrial Electronics.

[35]  Dianguo Xu,et al.  An Improved Feedforward Control Method Considering PLL Dynamics to Improve Weak Grid Stability of Grid-Connected Inverters , 2018, IEEE Transactions on Industry Applications.

[36]  Jian Sun,et al.  Impedance-Based Stability Criterion for Grid-Connected Inverters , 2011, IEEE Transactions on Power Electronics.

[37]  Peter Xiaoping Liu,et al.  Stochastic Small-Signal Stability Analysis of Grid-Connected Photovoltaic Systems , 2016, IEEE Transactions on Industrial Electronics.

[38]  Juan C. Vasquez,et al.  Three-Phase PLLs: A Review of Recent Advances , 2017, IEEE Transactions on Power Electronics.

[39]  Yanbo Wang,et al.  Frequency and Temperature-Dependent Power Cable Modelling for Small-Signal Stability Analysis of Grid-Connected Inverter System , 2018 .

[40]  Frede Blaabjerg,et al.  Passivity-Based Stability Analysis and Damping Injection for Multiparalleled VSCs with LCL Filters , 2017, IEEE Transactions on Power Electronics.

[41]  F. Blaabjerg,et al.  Nonlinear Stability Analysis for Three-Phase Grid-Connected PV Generators , 2020, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[42]  Jian Sun,et al.  Adaptive Control of Grid-Connected Inverters Based on Online Grid Impedance Measurements , 2014, IEEE Transactions on Sustainable Energy.

[43]  Po-Tai Cheng,et al.  A Passivity-Based Stability Analysis of the Active Damping Technique in the Offshore Wind Farm Applications , 2018, IEEE Transactions on Industry Applications.

[44]  Jian Sun,et al.  Sequence Impedance Modeling and Analysis of Type-III Wind Turbines , 2018, IEEE Transactions on Energy Conversion.

[45]  T.C. Green,et al.  Modeling, Analysis and Testing of Autonomous Operation of an Inverter-Based Microgrid , 2007, IEEE Transactions on Power Electronics.

[46]  Frede Blaabjerg,et al.  Adaptive reactive power control of PV power plants for improved power transfer capability under ultra-weak grid conditions , 2019, 2017 IEEE Power & Energy Society General Meeting.