Nyquist Stability Criterion and its Application to Power Electronics Systems

  1. Amin, Mohammad 5
  2. Zhang, Chen 3
  3. Rygg, Atle 3
  4. Molinas, Marta 3
  5. Unamuno, Eneko 4
  6. Belkhayat, Mohamed 12
  1. 1 Huntington Ingalls Inc., Washington, DC, USA
  2. 2 George Washington University, School of Engineering and Applied Science, Washington, DC, USA
  3. 3 Norwegian University of Science and Technology, Trondheim, Norway
  4. 4 Mondragon Unibertsitatea, Mondragon, Spain
  5. 5 Illinois Institute of Technology, Chicago, IL, USA
Mostrar afiliaciones +
Libro:
Wiley Encyclopedia of Electrical and Electronics Engineering

ISBN: 9780471346081

Año de publicación: 2019

Páginas: 1-22

Tipo: Entrada de Diccionario

DOI: 10.1002/047134608X.W1026.PUB2 GOOGLE SCHOLAR lock_openAcceso abierto editor

Resumen

The Nyquist stability criterion is a graphical technique for determining the stability of a dynamical system. It relates the stability of a closed-loop system to the open-loop frequency response and open-loop pole location. The Nyquist technique is limited to linear, time-invariant (LTI) systems and has been widely used for designing and analyzing systems with feedback. A practical advantage of the technique is that it can be applied directly to measured frequency response data, due to which the technique is widely used in power electronics systems, where the complexity of a mathematical model would make its widespread use unfeasible. In its first part, this article guides through the fundamentals of the Nyquist stability criterion applied to feedback systems with SISO and MIMO representations. The generalized Nyquist criterion for MIMO systems is then discussed to illustrate its application to the stability assessment of three-phase power electronics systems. In the second part, four representative cases are introduced to illustrate the applicability of Nyquist criterion–based stability analysis for power electronics systems: a dc-dc converter, an HVDC system, a three-phase converter, and a wind farm–HVDC grid integrated system. In the last section of this article, some advanced topics related to large-scale power electronics systems are introduced. Inherent aspects that are essential for the proper use of these stability techniques are elaborated and discussed in detail, for instance, impedance transformation and modified sequence impedance or the system-level analysis.

Referencias bibliográficas

  • R. D.Middlebrook.“Input Filter Considerations in Design and Application of Switching Regulators ”IEEE Industry Applications Society Annual Meeting 1976Record pp366–382.
  • 10.1002/047134608X.W1026
  • Dorf R. C., (2011), Modern Control Systems
  • Brown J. W., (2009), Complex Variable and Applications
  • 10.1109/TIE.2011.2126535
  • Goodwin G. C., (2001), Control system design
  • 10.1080/00207177708922217
  • MacFarlane A. G. J., (1979), Frequency‐response methods in control systems
  • 10.1109/TAC.1981.1102580
  • 10.1109/TPEL.2011.2136439
  • 10.1109/TIA.2017.2712692
  • 10.1109/MPEL.2016.2614906
  • 10.1109/TSG.2013.2288000
  • 10.1109/TPEL.2016.2608278
  • 10.1109/TPEL.2009.2020800
  • 10.1109/JESTPE.2014.2361290
  • 10.1109/JESTPE.2016.2620378
  • 10.1109/63.558748
  • 10.1109/TPEL.2004.830074
  • 10.1109/TPEL.2013.2283298
  • Belkhayat M., (1997), Stability Criteria for AC Power Systems with Regulated Loads
  • R.Burgos D.Boroyevich F.Wang K.Karimi andG.Francis.On the AC Stability of High Power Factor Three‐Phase Rectifiers in 2010IEEE Energy Conversion Congress and Exposition ECCE 2010 – Proceedings 2010; pp2047–2054.
  • M.Amin Small‐Signal Stability Characterization of Interaction Phenomena between HVDC System and Wind Farms. PhD dissertation Norwegian University of Science and Technology 2017.
  • 10.1109/TPEL.2013.2262473
  • Bakhshizadeh M. K., (2016), IEEE Trans. Power Electron., 31, pp. 6792
  • 10.1109/JESTPE.2016.2588733
  • 10.1109/59.867135
  • 10.1109/TIE.2007.894769
  • 10.1109/TEC.2017.2766217
  • Rygg A., (2017), CoRR
  • 10.1109/TPEL.2014.2378731
  • 10.1109/TPEL.2009.2016966
  • 10.1109/TPEL.2008.2007212
  • A.Rygg M.Molinas C.Zhang andX.Cai.Frequency‐Dependent Source and Load Impedances in Power Systems Based on Power Electronic Converters in2016 Power Systems Computation Conference (PSCC) June2016; pp1–8.