Definitions and Applications of Dynamic Average Models for Analysis of Power Systems

Modeling and analysis of power and power-electronic systems' transients using digital programs enables testing new design concepts in modern electric grid and many industrial and commercial products and applications. This paper gives an overview of dynamic average-value modeling techniques for representing static switching converters for the system-level studies. Concepts and desirable properties of averaged models for conducting large-signal time-domain transient studies and small-signal frequency-domain analysis for control design tasks are discussed. Basic approaches for developing average models for dc/dc and dc/ac converters are briefly reviewed and summarized. Finally, the desirable properties of the average-value models are demonstrated through an example system.

[1]  K. Siri,et al.  Simulation of large distributed DC power systems using averaged modelling techniques and the Saber simulator , 1994, Proceedings of 1994 IEEE Applied Power Electronics Conference and Exposition - ASPEC'94.

[2]  Jing Huang,et al.  New Techniques for Measuring Impedance Characteristics of Three-Phase AC Power Systems , 2009, IEEE Transactions on Power Electronics.

[3]  A. M. Gole,et al.  Working group on dynamic performance and modeling of DC systems and power electronics for transmission systems. Report on test systems for AC/DC interaction studies , 1995 .

[4]  F. Wang,et al.  Large- and Small-Signal Evaluation of Average Models for Multi-Pulse Diode Rectifiers , 2006, 2006 IEEE Workshops on Computers in Power Electronics.

[5]  S.D. Sudhoff,et al.  A New Procedure for Calculating Immittance Characteristics Using Detailed Computer Simulations , 2007, 2007 IEEE Power Electronics Specialists Conference.

[6]  U.D. Annakkage,et al.  A platform for validation of FACTS models , 2006, IEEE Transactions on Power Delivery.

[7]  Juri Jatskevich,et al.  A Distributed Heterogeneous Simulation of a Representative Aircraft Power System , 2002 .

[8]  Ali Davoudi,et al.  Numerical state-space average-value modeling of PWM DC-DC converters operating in DCM and CCM , 2006, IEEE Transactions on Power Electronics.

[9]  Jose R. Marti,et al.  Implementation of the CDA procedure in the EMTP , 1990 .

[10]  A. Petersson,et al.  Eagle Pass back-to-back tie: a dual purpose application of voltage source converter technology , 2001, 2001 Power Engineering Society Summer Meeting. Conference Proceedings (Cat. No.01CH37262).

[11]  Issa Batarseh,et al.  Modeling of conduction losses in PWM converters operating in discontinuous conduction mode , 2000, 2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353).

[12]  George C. Verghese,et al.  Principles of power electronics , 1991 .

[13]  J. Jatskevich,et al.  Fast procedure for constructing an accurate dynamic average-value model of synchronous machine-rectifier systems , 2006, IEEE Transactions on Energy Conversion.

[14]  M. R. Iravani,et al.  Real-Time Digital Simulation of Power Electronic Apparatus Interfaced with Digital Controllers , 2001, IEEE Power Engineering Review.

[15]  Dragan Maksimovic,et al.  Computer-aided small-signal analysis based on impulse response of DC/DC switching power converters , 2000 .

[16]  R. Iravani,et al.  A generalized state-space averaged model of the three-level NPC converter for systematic DC-voltage-balancer and current-controller design , 2005, IEEE Transactions on Power Delivery.

[17]  Bo Zhang.  Modeling and analysis of source-commutated five-phase diode rectifier systems , 2004 .

[18]  Oleg Wasynczuk,et al.  Analysis and average-value modeling of line-commutated converter-synchronous machine systems , 1993 .

[19]  Aniruddha M. Gole,et al.  A static compensator model for use with electromagnetic transients simulation programs , 1990 .

[20]  Nanming Chen,et al.  Modes of operation in parallel-connected 12-pulse uncontrolled bridge rectifiers without an interphase transformer , 1997, IEEE Trans. Ind. Electron..

[21]  M. Baran,et al.  Instrumentation for measurement of line impedance , 1994, Proceedings of 1994 IEEE Applied Power Electronics Conference and Exposition - ASPEC'94.

[22]  Juri Jatskevich,et al.  Six-phase synchronous generator-rectifier parametric average value modeling considering operational modes , 2005 .

[23]  Aniruddha M. Gole,et al.  A frequency scanning method for the identification of harmonic instabilities in HVDC systems , 1995 .

[24]  Guibin Zhang,et al.  Steady-state model for VSC based HVDC and its controller design , 2001, 2001 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.01CH37194).

[25]  V. Dinavahi,et al.  Detailed modeling of CIGRE HVDC benchmark system using PSCAD/EMTDC and PSB/SIMULINK , 2006, IEEE Transactions on Power Delivery.

[26]  S. D. Sudhoff,et al.  Analysis and average-value modeling of an inductorless synchronous machine load commutated converter system , 1999 .

[27]  K.D.T. Ngo,et al.  Alternate forms of the PWM switch model in discontinuous conduction mode [DC-DC converters] , 2001 .

[28]  J. M. Noworolski,et al.  Generalized averaging method for power conversion circuits , 1990, 21st Annual IEEE Conference on Power Electronics Specialists.

[29]  D. Boroyevich,et al.  Open modular power electronics building blocks for utility power system controller applications , 2003, IEEE 34th Annual Conference on Power Electronics Specialist, 2003. PESC '03..

[30]  H. Polinder,et al.  Modeling new generation and storage technologies in power system dynamics simulations , 2002, IEEE Power Engineering Society Summer Meeting,.

[31]  Slobodan Cuk,et al.  A general unified approach to modelling switching DC-tO-DC converters in discontinuous conduction mode , 1977, 1977 IEEE Power Electronics Specialists Conference.

[33]  George C. Verghese,et al.  Synthesis of averaged circuit models for switched power converters , 1990, IEEE International Symposium on Circuits and Systems.

[34]  Keith Corzine,et al.  Transient and dynamic average-value modeling of synchronous machine fed load-commutated converters , 1996 .

[35]  Jian Sun,et al.  Averaged modeling of PWM converters operating in discontinuous conduction mode , 2001 .

[36]  S.D. Pekarek,et al.  Analysis and average value model of a source-commutated 5-phase rectifier , 2004, 2004 IEEE 35th Annual Power Electronics Specialists Conference (IEEE Cat. No.04CH37551).

[37]  M. Kazerani,et al.  Current-source converter based STATCOM: modeling and control , 2005, IEEE Transactions on Power Delivery.

[38]  R. M. Bass,et al.  On the use of averaging for the analysis of power electronic systems , 1989, 20th Annual IEEE Power Electronics Specialists Conference.

[39]  Sergio Busquets-Monge,et al.  Interfacing Renewable Energy Sources to the Utility Grid Using a Three-Level Inverter , 2006, IEEE Transactions on Industrial Electronics.

[40]  Jing Huang,et al.  Small-Signal Impedance Measurement of Power-Electronics-Based AC Power Systems Using Line-to-Line Current Injection , 2009, IEEE Transactions on Power Electronics.

[41]  Bin Wu,et al.  Multilevel Voltage-Source-Converter Topologies for Industrial Medium-Voltage Drives , 2007, IEEE Transactions on Industrial Electronics.

[42]  S. J. Kim,et al.  Modeling and simulation of spacecraft power systems , 1988 .

[43]  Scott D. Sudhoff,et al.  Analysis of Electric Machinery and Drive Systems , 1995 .

[44]  F. Wang,et al.  Average modeling of three-phase and nine-phase diode rectifiers with improved AC current and DC voltage dynamics , 2005, 31st Annual Conference of IEEE Industrial Electronics Society, 2005. IECON 2005..

[45]  M.R. Iravani,et al.  Power Management Strategies for a Microgrid With Multiple Distributed Generation Units , 2006, IEEE Transactions on Power Systems.

[46]  Jose R. Marti,et al.  Suppression of numerical oscillations in the EMTP power systems , 1989 .

[47]  Robert W. Erickson,et al.  Fundamentals of Power Electronics , 2001 .

[48]  J. Jatskevich,et al.  Power Quality Control of Wind-Hybrid Power Generation System Using Fuzzy-LQR Controller , 2007, IEEE Transactions on Energy Conversion.

[49]  Johann W. Kolar,et al.  Exact Analysis of Three-Phase Rectifiers With Constant Voltage Loads , 2008, IEEE Transactions on Circuits and Systems II: Express Briefs.

[50]  R. Iravani,et al.  Small-signal dynamic model and analysis of a fixed-speed wind farm - a frequency response approach , 2006, IEEE Transactions on Power Delivery.

[51]  Hermann W. Dommel,et al.  Nonlinear and Time-Varying Elements in Digital Simulation of Electromagnetic Transients , 1971 .

[52]  L. R. Linares.  A Resynchronization Algorithm for Topological Changes in Real Time Fast Transients Simulation , 2002 .

[53]  Jian Sun,et al.  Input Impedance Modeling and Analysis of Line-Commutated Rectifiers , 2009, IEEE Transactions on Power Electronics.

[54]  Juri Jatskevich,et al.  Real-Time Distributed Simulation of DC Zonal Electrical Distribution System , 2002 .

[55]  Ned Mohan,et al.  A new, large-signal average model for single-switch DC-DC converters operating in both CCM and DCM , 2001, 2001 IEEE 32nd Annual Power Electronics Specialists Conference (IEEE Cat. No.01CH37230).

[56]  Jose R. Marti,et al.  Suppression of Numerical Oscillations in the EMTP , 1989, IEEE Power Engineering Review.

[57]  Vatche Vorperian,et al.  Generation, Classification and Analysis of Switched-Mode DC-to-DC Converters by the Use of Converter Cells , 1986, INTELEC '86 - International Telecommunications Energy Conference.

[58]  Wilsun Xu,et al.  Algorithms for the accounting of multiple switching events in digital simulation of power-electronic systems , 2005, IEEE Transactions on Power Delivery.

[59]  V. Dinavahi,et al.  Review of electromagnetic transient models for Non-VSC FACTS , 2005, IEEE Transactions on Power Delivery.

[60]  J. G. Slootweg,et al.  Representing wind turbine electrical generating systems in fundamental frequency simulations , 2003 .

[61]  H. Polinder,et al.  General Model for Representing Variable-Speed Wind Turbines in Power System Dynamics Simulations , 2002, IEEE Power Engineering Review.

[62]  Philip T. Krein,et al.  Modeling of PWM converters in discontinuous conduction mode. A reexamination , 1998, PESC 98 Record. 29th Annual IEEE Power Electronics Specialists Conference (Cat. No.98CH36196).

[63]  V. Dinavahi,et al.  Simulation Tools for Electromagnetic Transients in Power Systems: Overview and Challenges , 2009, IEEE Transactions on Power Delivery.

[64]  Huiyu Zhu,et al.  New Multi-Phase Diode Rectifier Average Models for AC and DC Power System Studies , 2005 .

[65]  D. Borojevic,et al.  Modeling and control of a synchronous generator with an active DC load , 2000 .

[66]  Hermann W. Dommel,et al.  Digital Computer Solution of Electromagnetic Transients in Single-and Multiphase Networks , 1969 .

[67]  Kwa-Sur Tam,et al.  Functional models for space power electronic circuits , 1995 .

[68]  G. Joos,et al.  Modeling requirements for transient stability studies for wind parks , 2006, 2006 IEEE Power Engineering Society General Meeting.

[69]  Kjeld Thorborg.  Power Electronics , 1988 .

[70]  Ali Davoudi,et al.  Parasitics Realization in State-Space Average-Value Modeling of PWM DC–DC Converters Using an Equal Area Method , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[71]  Mariusz Malinowski,et al.  Evaluation of three-level rectifiers for low-voltage utility applications , 2005, IEEE Transactions on Industrial Electronics.

[72]  M. Belkhayat,et al.  Stability criteria for AC power systems with regulated loads , 1997 .

[73]  P.L. Chapman,et al.  Averaged-Switch Modeling of Fourth-Order PWM DC–DC Converters Considering Conduction Losses in Discontinuous Mode , 2007, IEEE Transactions on Power Electronics.

[74]  Ali Davoudi,et al.  Averaged modelling of switched-inductor cells considering conduction losses in discontinuous mode , 2007 .

[75]  F. Wang,et al.  Evaluation of average models for nine-phase diode rectifiers with improved AC and DC dynamics , 2006, Twenty-First Annual IEEE Applied Power Electronics Conference and Exposition, 2006. APEC '06..

[76]  Jian Sun.  Unified averaged switch models for stability analysis of large distributed power systems , 2000, APEC 2000. Fifteenth Annual IEEE Applied Power Electronics Conference and Exposition (Cat. No.00CH37058).

[77]  Vladimir Brandwajn,et al.  Partial Matrix Refactorization , 1986, IEEE Transactions on Power Systems.

[78]  K. Strunz.  Developing benchmark models for studying the integration of distributed energy resources , 2006, 2006 IEEE Power Engineering Society General Meeting.

[79]  Marian K. Kazimierczuk,et al.  Small-signal model of PWM converters for discontinuous conduction mode and its application for boost converter , 2003 .

[80]  J.A. Ferreira,et al.  Model reduction and control of electronic interfaces of voltage dip proof DG units , 2004, IEEE Power Engineering Society General Meeting, 2004..

[81]  Jean Mahseredjian,et al.  ON INTERPOLATION AND REINITIALIZATION IN THE SIMULATION OF TRANSIENTS IN POWER ELECTRONIC SYSTEMS , 2002 .

[82]  Ali Emadi,et al.  Constant power loads and negative impedance instability in automotive systems: definition, modeling, stability, and control of power electronic converters and motor drives , 2006, IEEE Transactions on Vehicular Technology.

[83]  Kai Strunz,et al.  Efficient and accurate representation of asynchronous network structure changing phenomena in digital real time simulators , 2000 .

[84]  Rex Mountford Davis,et al.  Power Diode and Thyristor Circuits , 1971 .

[85]  Alfred Baghramian,et al.  Averaged-value models of twelve-pulse rectifiers for aerospace applications , 2004 .

[86]  C. Dufour,et al.  Discrete time compensation of switching events for accurate real-time simulation of power systems , 2001, IECON'01. 27th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.37243).

[87]  R. D. Middlebrook,et al.  Input filter considerations in design and application of switching regulators. , 1976 .

[88]  Y. Sawada,et al.  A study of operation characteristics of UPFC type dispersed power supply system with FC, PV and EDLC by improved EMAP model , 2004, IEEE PES Power Systems Conference and Exposition, 2004..

[89]  George C. Verghese,et al.  Synthesis of averaged circuit models for switched power converters , 1991 .

[90]  F. Katiraei,et al.  Small-signal dynamic model of a micro-grid including conventional and electronically interfaced distributed resources , 2007 .

[91]  K.J. Karimi,et al.  Small-signal input impedance modeling of line-frequency rectifiers , 2008, IEEE Transactions on Aerospace and Electronic Systems.

[92]  J. Jatskevich,et al.  Parametric average-value model of synchronous machine-rectifier systems , 2006, IEEE Transactions on Energy Conversion.

[93]  Jian Sun,et al.  Input Impedance Modeling and Analysis of Line-Commutated Rectifiers , 2007, 2007 IEEE Power Electronics Specialists Conference.

[94]  T. L. Skvarenina,et al.  Simulation of a More-Electric Aircraft power system using an automated state model approach , 1996, IECEC 96. Proceedings of the 31st Intersociety Energy Conversion Engineering Conference.

[95]  D. Borojevic,et al.  A simplified model of a variable speed synchronous generator loaded with diode rectifier , 1997, PESC97. Record 28th Annual IEEE Power Electronics Specialists Conference. Formerly Power Conditioning Specialists Conference 1970-71. Power Processing and Electronic Specialists Conference 1972.

[96]  D. Povh.  Modeling of FACTS in power system studies , 2000, 2000 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.00CH37077).

[97]  Guy A. Dumont,et al.  An advanced LMI-based-LQR design for voltage control of grid-connected wind farm , 2008 .

[98]  Alfred Baghramian,et al.  Approximate, average, dynamic models of uncontrolled rectifiers for aircraft applications , 2009 .

[99]  Scott D. Sudhoff.  Analysis and average-value modeling of dual line-commutated converter-6-phase synchronous machine systems , 1993 .

[100]  Juri Jatskevich,et al.  Average-Value Model of a High-Frequency Six-Phase Generation System , 2004 .

[101]  F. Wang,et al.  Power electronics building blocks for utility power system applications , 2004, The 4th International Power Electronics and Motion Control Conference, 2004. IPEMC 2004..

[102]  Thomas M. Jahns,et al.  Analysis of three-phase rectifiers with constant-voltage loads , 2003 .

[103]  U.D. Annakkage,et al.  Validation of a two-time step HVDC transient stability simulation model including detailed HVDC controls and DC line L/R dynamics , 2006, 2006 IEEE Power Engineering Society General Meeting.

[104]  Reza Iravani,et al.  A unified dynamic model and control for the voltage-sourced converter under unbalanced grid conditions , 2006 .

[105]  Eric Walters,et al.  Automated identification of the operational modes of switched electric circuits , 2000 .

[106]  A. Davoudi,et al.  Realization of parasitics in state-space average-value modeling of PWM DC-DC converters , 2006, IEEE Transactions on Power Electronics.

[107]  Dariusz Czarkowski,et al.  Energy-conservation approach to modeling PWM DC-DC converters , 1993 .

[108]  K. Strunz,et al.  Flexible numerical integration for efficient representation of switching in real time electromagnetic transients Simulation , 2004, IEEE Transactions on Power Delivery.