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Linearized Modeling and Stability Analysis of AC Power Electronic Based Power Systems Frede Blaabjerg, Xiongfei Wang Department of Energy Technology Aalborg University, Denmark [email protected], [email protected] TUTORIALS Biography of Speakers Frede Blaabjerg (F’03) is a Professor with the Department of Energy Technology and the Director of Center of Reliable Power Electronics (CORPE), Aalborg University, Denmark. He has intensive research work on power electronics and its applications in motor drives, wind turbines, PV systems, harmonics, and the reliability of power electronic systems. He has held more than 300 lectures national and international, most of them in the last decade are invited and as keynotes at conferences, covering various topics on power electronics, including the reliability. He was a Distinguished Lecturer for the IEEE Power Electronics Society from 2005 to 2007 and for the IEEE Industry Applications Society from 2010 to 2011. He has contributed more than 800 journal and conference papers, many of which in the last four years are relevant to the reliability of power electronic components, converters and systems. Dr. Blaabjerg received the IEEE William E. Newell Power Electronics Award in 2014, the IEEE PELS Distinguished Service Award in 2009, the Outstanding Young Power Electronics Engineer Award in 1998, and 15 IEEE Prize Paper Awards. He served the Editor-in-Chief of the IEEE Transactions on Power Electronics from 2006 to 2012. Xiongfei Wang is an Associate Professor with the Department of Energy Technology, Aalborg University, Denmark. His research interests include small-signal modeling of power electronic converters, harmonics analysis and control, passive and active filters, and stability of power-electronics-based power systems. He has contributed 40 journal papers on the stability and control of grid-connected power electronic systems. He is the co-lecture for the Industrial/PhD course on Modeling and Control of Voltage Source Converters at Aalborg University, Denmark. Dr. Wang received his Ph.D. degree from Aalborg University, Denmark. He serves as the Associate Editor for IEEE Transactions on Industry Applications, and the Associate Editor for IEEE Journal of Emerging and Selected Topics in Power Electronics. He received IEEE Power Electronics Transactions prize paper award in 2014. AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 2 18.09.2016 Aalborg University - Denmark Inaugurated in 1974 PBL-Aalborg Model 21,000+ students Problem-based and 2,000+ faculty project-oriented AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 3 18.09.2016 Department of Energy Technology Energy production - distribution - consumption - control AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 4 18.09.2016 Department of Energy Technology AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 5 18.09.2016 Acknowledge ERC Advanced Grant - HARMONY Harmonic Identification, Mitigation and Control of Power Electronics Based Power Systems www.harmony.et.aau.dk AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 6 18.09.2016 Agenda  Introduction (20 min.) Grid-converter interaction; power electronics based power systems; real-life challenges  Control Fundamentals and Linearized Models (25 min.) Current control; transfer matrix and complex transfer function; grid synchronization  Stability Analysis of Single Grid Converter (45 min.) Impedance-based approach; time delay; frequency-coupling  Stability Analysis of Multiple-Converter Systems (35 min.) System stability analysis tools; impedance-based analysis; case studies  Active Stabilization Techniques (45 min.) Virtual impedance control; passivity-based control; active damper  Future Trends (10 min.) AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 7 18.09.2016 Introduction AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 8 18.09.2016 Power Electronics - Enabling Technology  Grid-integration of renewable power generation  Energy-efficient power transmission, distribution, and consumption (Source: ABB) (Source: Google) (Source: EPRI) (Source: Bombardier) Generation Transmission/Distribution Consumption AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 9 18.09.2016 Impact of Power Electronics  More harmonics and wider-band control dynamics rr oo tt aa rr PPrriimmee MMoovveerr 0.1Hz ee nn ee GG ll aa nn oo ii EExxcciittaattiioonn CCoonnttrrooll 1Hz tt ii dd aa Traditional Generator Output Voltage rr TT TTuurrbbiinnee PP && ωω CCoonnttrrooll 0.1Hz rr oo tt GGrriidd QQ &&VV CCoonnttrrooll aa erer 10Hz DDCC--LLiinnkk VV CCoonnttrrooll nn ee GG dd nn GGrriidd SSyynncchhrroonniizzaattiioonn 100Hz Wind Generator Output Voltage ii WW ee gg CCuurrrreenntt CCoonnttrrooll rr 500Hz aa LL IIGGBBTT SSwwiittcchhiinngg 2500Hz Harmonic Spectrum AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 10 18.09.2016

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TUTORIALS Grid-converter interaction; power electronics based power systems; real-life challenges . Distribution grid - laboratory test setup Eigenvalue-based analysis. x f x,u. y g x,u. ∆x A∆x B∆u. ∆y C∆x D∆u x. f x ,u. 0. A. 1.
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Linearized Modeling and Stability Analysis of AC Power Electronic Based Power Systems Frede Blaabjerg, Xiongfei Wang Department of Energy Technology Aalborg University, Denmark [email protected], [email protected] TUTORIALS Biography of Speakers Frede Blaabjerg (F’03) is a Professor with the Department of Energy Technology and the Director of Center of Reliable Power Electronics (CORPE), Aalborg University, Denmark. He has intensive research work on power electronics and its applications in motor drives, wind turbines, PV systems, harmonics, and the reliability of power electronic systems. He has held more than 300 lectures national and international, most of them in the last decade are invited and as keynotes at conferences, covering various topics on power electronics, including the reliability. He was a Distinguished Lecturer for the IEEE Power Electronics Society from 2005 to 2007 and for the IEEE Industry Applications Society from 2010 to 2011. He has contributed more than 800 journal and conference papers, many of which in the last four years are relevant to the reliability of power electronic components, converters and systems. Dr. Blaabjerg received the IEEE William E. Newell Power Electronics Award in 2014, the IEEE PELS Distinguished Service Award in 2009, the Outstanding Young Power Electronics Engineer Award in 1998, and 15 IEEE Prize Paper Awards. He served the Editor-in-Chief of the IEEE Transactions on Power Electronics from 2006 to 2012. Xiongfei Wang is an Associate Professor with the Department of Energy Technology, Aalborg University, Denmark. His research interests include small-signal modeling of power electronic converters, harmonics analysis and control, passive and active filters, and stability of power-electronics-based power systems. He has contributed 40 journal papers on the stability and control of grid-connected power electronic systems. He is the co-lecture for the Industrial/PhD course on Modeling and Control of Voltage Source Converters at Aalborg University, Denmark. Dr. Wang received his Ph.D. degree from Aalborg University, Denmark. He serves as the Associate Editor for IEEE Transactions on Industry Applications, and the Associate Editor for IEEE Journal of Emerging and Selected Topics in Power Electronics. He received IEEE Power Electronics Transactions prize paper award in 2014. AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 2 18.09.2016 Aalborg University - Denmark Inaugurated in 1974 PBL-Aalborg Model 21,000+ students Problem-based and 2,000+ faculty project-oriented AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 3 18.09.2016 Department of Energy Technology Energy production - distribution - consumption - control AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 4 18.09.2016 Department of Energy Technology AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 5 18.09.2016 Acknowledge ERC Advanced Grant - HARMONY Harmonic Identification, Mitigation and Control of Power Electronics Based Power Systems www.harmony.et.aau.dk AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 6 18.09.2016 Agenda  Introduction (20 min.) Grid-converter interaction; power electronics based power systems; real-life challenges  Control Fundamentals and Linearized Models (25 min.) Current control; transfer matrix and complex transfer function; grid synchronization  Stability Analysis of Single Grid Converter (45 min.) Impedance-based approach; time delay; frequency-coupling  Stability Analysis of Multiple-Converter Systems (35 min.) System stability analysis tools; impedance-based analysis; case studies  Active Stabilization Techniques (45 min.) Virtual impedance control; passivity-based control; active damper  Future Trends (10 min.) AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 7 18.09.2016 Introduction AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 8 18.09.2016 Power Electronics - Enabling Technology  Grid-integration of renewable power generation  Energy-efficient power transmission, distribution, and consumption (Source: ABB) (Source: Google) (Source: EPRI) (Source: Bombardier) Generation Transmission/Distribution Consumption AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 9 18.09.2016 Impact of Power Electronics  More harmonics and wider-band control dynamics rr oo tt aa rr PPrriimmee MMoovveerr 0.1Hz ee nn ee GG ll aa nn oo ii EExxcciittaattiioonn CCoonnttrrooll 1Hz tt ii dd aa Traditional Generator Output Voltage rr TT TTuurrbbiinnee PP && ωω CCoonnttrrooll 0.1Hz rr oo tt GGrriidd QQ &&VV CCoonnttrrooll aa erer 10Hz DDCC--LLiinnkk VV CCoonnttrrooll nn ee GG dd nn GGrriidd SSyynncchhrroonniizzaattiioonn 100Hz Wind Generator Output Voltage ii WW ee gg CCuurrrreenntt CCoonnttrrooll rr 500Hz aa LL IIGGBBTT SSwwiittcchhiinngg 2500Hz Harmonic Spectrum AALBORG UNIVERSITY | F. BLAABJERG, X. WANG – 10 18.09.2016

Description:
TUTORIALS Grid-converter interaction; power electronics based power systems; real-life challenges . Distribution grid - laboratory test setup Eigenvalue-based analysis. x f x,u. y g x,u. ∆x A∆x B∆u. ∆y C∆x D∆u x. f x ,u. 0. A. 1.
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