A new modelling framework for power supply networks with converter based loads and generators - the Harmonic State-Space

This paper presents a new modelling framework, the Harmonic State-Space (HSS). The new framework is intended for stability analysis of electromagnetic or control interactions between interconnected power electronic systems. Existing modelling methods are summarised, highlighting their advantages and disadvantages. The HSS provides a framework to accommodate non-linear power electronic circuits that are linearised around a base case operating point in the state-space structure. This approach allows the HSS models to make use of pole-zero plots and bode plots for stability analysis. HSS models of an HVdc converter and a 6-pulse STATCOM are shown as examples.

[1]  Aurelio Medina,et al.  Computation of the periodic steady state in systems with nonlinear components using a hybrid time and frequency domain methodology , 1995 .

[2]  E. Mollerstedt,et al.  A harmonic transfer function model for a diode converter train , 2000, 2000 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.00CH37077).

[3]  Shi Wei,et al.  Harmonics from Transformer Saturation , 1986, IEEE Transactions on Power Delivery.

[4]  Alan R. Wood,et al.  A review of iterative harmonic analysis for AC-DC power systems , 1998 .

[5]  Ned Mohan,et al.  Simulation of power electronic and motion control systems-an overview , 1994 .

[6]  J. Segundo,et al.  Periodic steady state solution of electric systems including UPFCs by extrapolation to the limit cycle , 2008, 2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century.

[7]  Rick Rarick,et al.  Dynamic harmonic evolution in FACTS via the extended harmonic domain method , 2010, 2010 Power and Energy Conference At Illinois (PECI).

[8]  T. Aprille,et al.  Steady-state analysis of nonlinear circuits with periodic inputs , 1972 .

[9]  Alan R. Wood,et al.  Reduced harmonic state space model of TCR , 2010, Proceedings of 14th International Conference on Harmonics and Quality of Power - ICHQP 2010.

[10]  Alan R. Wood An analysis of non-ideal HVDC convertor behaviour in the frequency domain, and a new control proposal. , 1993 .

[11]  Neville R. Watson,et al.  Harmonic domain approach to STATCOM modelling , 2005 .

[12]  Venkata Dinavahi,et al.  Interfacing Techniques for Time-Domain and Frequency-Domain Simulation Methods , 2010, IEEE Transactions on Power Delivery.

[13]  Taku Noda,et al.  A Time-Domain Harmonic Power-Flow Algorithm for Obtaining Nonsinusoidal Steady-State Solutions , 2010, IEEE Transactions on Power Delivery.

[14]  Neville R. Watson,et al.  Modeling of bipolar HVDC links in the harmonic domain , 2000 .

[15]  G. Venkataramanan,et al.  Generalized Averaged Dynamic Modeling of Vector Switching AC Power Flow Controllers , 2005, 2005 IEEE 36th Power Electronics Specialists Conference.

[16]  Jos Arrillaga,et al.  Modelling of HVDC transmission systems in the harmonic domain , 1999 .

[17]  R. Iravani,et al.  Guidelines for Modeling Power Electronics in Electric Power Engineering Applications , 1997, IEEE Power Engineering Review.

[18]  C. M. Osauskas,et al.  A linear frequency-domain model of a STATCOM , 2004, IEEE Transactions on Power Delivery.

[19]  Enrique Acha,et al.  Dynamic harmonic evolution using the extended harmonic domain , 2003 .

[20]  Neville R. Watson,et al.  A Newton solution for the harmonic phasor analysis of AC/DC converters , 1996 .

[21]  Jordan Rel Cajudo Orillaza,et al.  Harmonic State Space Model of Three Phase Thyristor Controlled Reactor , 2012 .

[22]  Geoffrey Neal Love,et al.  Small signal modelling of power electronic converters, for the study of time-domain waveforms, harmonic domain spectra, and control interactions , 2007 .