Harmonic Analysis in Frequency and Time Domain

This paper presents a review with a concise description and analysis of the fundamentals, characteristics, analytical details, merits, and drawbacks associated with existing methods in frequency and time domain for harmonic analysis in practical power networks. The description and analysis are centered on methods developed in the harmonic domain, hybrid frequency-time domain, and time domain, respectively. Validation of the reviewed methods for harmonic analysis, against one of the widely accepted digital simulators, such as EMTP, EMTDC, or MATLAB/SIMULINK, is reported in the cited individual contributions.

[1]  C. Fuerte-Esquivel,et al.  Swift computation of the periodic steady state solution of power systems containing TCSCs , 2003 .

[2]  G.T. Heydt.  Systems Analysis Using Hartley Impedances , 1992, ICHPS V International Conference on Harmonics in Power Systems..

[3]  V. Sharma,et al.  An iterative approach for analysis of harmonic penetration in the power transmission networks , 1991 .

[4]  J.R. Marti,et al.  A multiphase harmonic load flow solution technique , 1991, IEEE Power Engineering Review.

[5]  Aurelio Medina,et al.  Swift time domain solution of electric systems including SVSs , 2003 .

[6]  J. Arrillaga,et al.  Three Phase Transmission System Modelling for Harmonic Penetration Studies , 1984, IEEE Power Engineering Review.

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

[8]  Jos Arrillaga,et al.  Harmonic interaction between generation and transmission systems , 1993 .

[9]  J. Segundo-Ramírez,,et al.  An Enhanced Process for the Fast Periodic Steady State Solution of Nonlinear Systems by Poincare Map and Extrapolation to the Limit Cycle , 2010 .

[10]  J.R. Marti,et al.  Harmonic analysis of systems with static compensators , 1991, IEEE Power Engineering Review.

[11]  Jose R. Marti,et al.  Nonlinear elements in the EMTP: steady-state initialization , 1995 .

[12]  Wilsun Xu,et al.  Modelling of adjustable speed drives for power system harmonic analysis , 1999 .

[13]  A. Medina.  Harmonic simulation techniques (methods & algorithms) , 2004, IEEE Power Engineering Society General Meeting, 2004..

[14]  Wilsun Xu,et al.  A Harmonically Coupled Admittance Matrix Model for AC/DC Converters , 2007, IEEE Transactions on Power Systems.

[15]  T. Aprille,et al.  A computer algorithm to determine the steady-state response of nonlinear oscillators , 1972 .

[16]  K. J. Olejniczak,et al.  Application of the Hartley transform for the analysis of the propagation of nonsinusoidal waveforms in power systems , 1991 .

[17]  A. Medina,et al.  Computation of the Steady-State Solution of Nonlinear Power Systems by Extrapolation to the Limit Cycle Using a Discrete Exponential Expansion Method , 2010 .

[18]  J. Arrillaga,et al.  Admittance Matrix Model of a Synchronous Machine for Harmonic Analysis , 1987, IEEE Power Engineering Review.

[19]  Aly Mahmoud,et al.  A Method for Analyzing Harmonic Distribution in A.C. Power Systems , 1982, IEEE Transactions on Power Apparatus and Systems.

[20]  K. J. Olejniczak,et al.  Assessing real-valued transform algorithms for fast convolution in electric power quality calculations , 1993, 1993 (25th) Southeastern Symposium on System Theory.

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

[22]  N.R. Watson,et al.  Unbalanced SSSC modelling in the harmonic domain , 2005, 2005 International Power Engineering Conference.

[23]  Jos Arrillaga,et al.  A harmonic domain solution for systems with multiple high-power AC/DC converters , 2001 .

[24]  Gary W. Chang,et al.  Efficient approach to characterising harmonic currents generated by a cluster of three-phase AC/DC converters , 2006 .

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

[26]  G. Heydt,et al.  Harmonic Power Flow Studies - Part II Implementation and Practical Application , 1982, IEEE Transactions on Power Apparatus and Systems.

[27]  Enrique Acha Daza.  Modelling of power system transformers in the complex conjugate harmonic space , 1988 .

[28]  Neville R. Watson,et al.  Power System Harmonic Analysis: Arrillaga/Power System Harmonic Analysis , 1997 .

[29]  Kuo Lung Lian,et al.  Steady-State Simulation Methods of Closed-Loop Power Converter Systems—A Systematic Solution Procedure , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[30]  Jos Arrillaga,et al.  Sparsity-oriented hybrid formulation of linear multiports and its application to harmonic analysis , 1990 .

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

[32]  Alan R. Wood,et al.  Improved simulation of HVDC converter transformers in electromagnetic transient programs , 1997 .

[33]  A. Semlyen,et al.  Principles of modular harmonic power flow methodology , 2000 .

[34]  Aurelio Medina,et al.  Steady-State and Dynamic State-Space Model for Fast and Efficient Solution and Stability Assessment of ASDs , 2011, IEEE Transactions on Industrial Electronics.

[35]  Enrique Acha,et al.  Harmonic domain modelling of three phase thyristor-controlled reactors by means of switching vectors and discrete convolutions , 1996 .

[36]  Y. Mansour,et al.  Harmonics from SVC transformer saturation with direct current offset , 1994 .

[37]  J. Arrillaga,et al.  Harmonic domain modelling of high-pulse converters , 1999 .

[38]  Jos Arrillaga,et al.  Simulation of multilimb power transformers in the harmonic domain , 1992 .

[39]  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.

[40]  Jos Arrillaga,et al.  General frame of reference for analysis of harmonic distortion in systems with multiple transformer nonlinearities , 1989 .

[41]  Jos Arrillaga,et al.  The Harmonic Domain. A frame of reference for power system harmonic analysis , 1995 .

[42]  Olimpo Anaya-Lara,et al.  Steady-state solution of fixed-speed wind turbines following fault conditions through extrapolation to the limit cycle , 2010 .

[43]  Jos Arrillaga,et al.  Harmonic Norton equivalent for the magnetising branch of a transformer , 1987 .

[44]  Aurelio Medina,et al.  Efficient methodology for stability analysis of synchronous machines , 2003 .

[45]  T. Trick,et al.  Computation of capacitor voltage and inductor current sensitivities with respect to initial conditions for the steady-state analysis of nonlinear periodic circuits , 1975 .

[46]  J. Arrillaga,et al.  Analysis of transformer-generator interaction in the harmonic domain , 1994 .

[47]  Nikola Rajaković,et al.  A harmonic domain computational package for nonlinear problems and its application to electric arcs , 1990 .

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

[49]  Wilsun Xu,et al.  A three-phase converter model for harmonic analysis of HVDC systems , 1994 .

[50]  M. Madrigal,et al.  A new harmonic power flow method based on the instantaneous power balance , 2002, 10th International Conference on Harmonics and Quality of Power. Proceedings (Cat. No.02EX630).

[51]  Aurelio Medina,et al.  Fast time domain computation of the periodic steady-state of systems with nonlinear and time-varying components , 2004 .

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

[53]  Enrique Acha,et al.  The use of switching functions and Walsh series to calculate waveform distortion in thyristor controlled compensated power circuits , 1998 .

[54]  Aurelio Medina,et al.  Fast Time Domain Periodic Steady-state Solution of Nonlinear Electric Networks Containing DVRs , 2011 .

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

[56]  Abner Ramirez,et al.  Dynamic harmonic domain modelling of synchronous machine and transmission line interface , 2011 .

[57]  Neville R. Watson,et al.  A modular approach to the solution of the three-phase harmonic power-flow , 2000 .

[58]  E. Acha,et al.  Harmonic modelling in Hartley's domain with particular reference to three phase thyristor-controlled reactors , 1997 .

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

[60]  Jean Mahseredjian,et al.  Implementation of a new harmonic initialization method in the EMTP , 1995 .

[61]  C. Collins,et al.  UPFC modeling in the harmonic domain , 2006, IEEE Transactions on Power Delivery.

[62]  Jose R. Marti,et al.  A synchronous machine model for three-phase harmonic analysis and EMTP initialization , 1991 .

[63]  N.R. Watson,et al.  Implications for Distribution Networks of High Penetration of Compact Fluorescent Lamps , 2009, IEEE Transactions on Power Delivery.

[64]  R. Iravani,et al.  Harmonic domain characterization of the resonant interaction between generator and transmission line , 2005, IEEE Transactions on Power Delivery.

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

[66]  Gary W. Chang,et al.  Characterizing harmonic currents generated by fluorescent lamps in harmonic domain , 2003 .

[67]  Jos Arrillaga,et al.  Generalised modelling of power transformers in the harmonic domain , 1992 .

[68]  Wilsun Xu,et al.  Harmonic cancellation characteristics of specially connected transformers , 2009 .

[69]  J. Arrillaga,et al.  A multifrequency power flow of general applicability , 2004, IEEE Transactions on Power Delivery.