Dynamic modelling and simulation of electric power systems using the Newton-Raphson method

The research work presented in this thesis is concerned with the development of a dynamic power flow computer algorithm using Newton's method. It addresses both the development of a positive sequence dynamic power flow algorithm for the dynamic study of balanced power systems and a fully-fledged three-phase dynamic power flow algorithm for the dynamic study of power systems exhibiting a significant degree of either structural or operational unbalance. As a prelude to the research work on dynamic power flows, a three-phase Newton-Raphson power flow algorithm in rectangular co-ordinates with conventional HVDC power plant modelling is presented in this thesis, emphasising the representation of converter control modes. The solution approach takes advantage of the strong numerical solutions for combined HVAC-HVDC systems, where power plant and operational imbalances are explicitly taken into account. The dynamic algorithm is particularly suited to carrying out long-term dynamic simulations and voltage stability assessments. Dynamic model representations of the power plants components and the load tap changing transformer are considered, and to widen the study range of dynamic voltage phenomena using this method, extensions have been made to include induction motor and polynomial load modelling features. Besides, reactive power compensators that base their modus operandi on the switching of power electronic valves, such as HVDC-VSC and the STATCOM are taken into account. The dynamic power flow algorithm has primarily been developed making use of the positive sequence and [dq] representations. Extensions are made to developing a three-phase power flows dynamic algorithm. Test cases for the various dynamic elements developed in this research are presented to show the versatility of the models and simulation tool, including a trip cascading event leading up to a wide-area voltage collaps. Comparisons with the output of a conventional transient stability program carried out where appropriate.

[1]  William D. Stevenson,et al.  Elements of Power System Analysis , 1962 .

[2]  C. W. Gear,et al.  Simultaneous Numerical Solution of Differential-Algebraic Equations , 1971 .

[3]  Mo-Shing Chen,et al.  Power system modeling , 1974 .

[4]  J. Arrilla,et al.  Three Phase AC-DC Load and Harmonic Flows , 1991, IEEE Power Engineering Review.

[5]  C. W. Taylor,et al.  Load representation for dynamic performance analysis , 1993 .

[6]  D. Hill,et al.  Stability theory for differential/algebraic systems with application to power systems , 1990 .

[7]  G.S. Vassell,et al.  Northeast Blackout of 1965 , 1990, IEEE Power Engineering Review.

[8]  J. L. Corwin,et al.  Impact assessment of the 1977 New York City blackout. Final report , 1978 .

[9]  Jos Arrillaga,et al.  High Voltage Direct Current Transmission , 2014 .

[10]  Neville R. Watson,et al.  Flexible power transmission--the HVDC options , 2007 .

[11]  J. Arrillaga,et al.  Improved three-phase load flow using phase and sequence components , 1998 .

[12]  C. W. Taylor,et al.  Standard load models for power flow and dynamic performance simulation , 1995 .

[13]  Lennart Carlsson.  Classical HVDC: still continuing to evolve , 2002 .

[14]  K. N. Seetharamu,et al.  Fast transient solutions for heat transfer [FEM] , 2003, TENCON 2003. Conference on Convergent Technologies for Asia-Pacific Region.

[15]  G. W. Stagg,et al.  Computer methods in power system analysis , 1968 .

[16]  R. H. Park,et al.  Two-reaction theory of synchronous machines generalized method of analysis-part I , 1929, Transactions of the American Institute of Electrical Engineers.

[17]  L. Shampine,et al.  Numerical Solution of Ordinary Differential Equations. , 1995 .

[18]  B. Stott,et al.  Power system dynamic response calculations , 1979, Proceedings of the IEEE.

[19]  P. W. Lehn.  Exact Modeling of the Voltage Source Converter , 2001, IEEE Power Engineering Review.

[20]  C. W. Gear,et al.  Numerical initial value problem~ in ordinary differential eqttations , 1971 .

[21]  O. Alsac,et al.  Fast Decoupled Load Flow , 1974 .

[22]  J. D. Ainsworth.  Phase-locked oscillator control system for thyristor-controlled reactors , 1988 .

[23]  Jos Arrillaga,et al.  3-phase a.c./d.c. load flow , 1979 .

[24]  L. L. Grigsby,et al.  A new approach to AC/DC power flow , 1991 .

[25]  Laszlo Gyugyi,et al.  Understanding FACTS: Concepts and Technology of Flexible AC Transmission Systems , 1999 .

[26]  I. Kamwa,et al.  Causes of the 2003 major grid blackouts in North America and Europe, and recommended means to improve system dynamic performance , 2005, IEEE Transactions on Power Systems.

[27]  Hermann W. Dommel,et al.  Fast Transient Stability Soultions , 1972 .

[28]  High Voltage Direct Current Transmission – Proven Technology for Power Exchange , 2003 .

[29]  Christoph W. Ueberhuber,et al.  Numerical Computation 2 , 1997 .

[30]  P. Kundur,et al.  Power system stability and control , 1994 .

[31]  L. M. Hajagos,et al.  Laboratory measurements and models of modern loads and their effect on voltage stability studies , 1998 .

[32]  Gregory F. Reed,et al.  Advantages of voltage sourced converter (VSC) based design concepts for FACTS and HVDC-link applications , 2003, 2003 IEEE Power Engineering Society General Meeting (IEEE Cat. No.03CH37491).

[33]  M. R. Irving,et al.  Real-time power system simulation , 1987 .

[34]  C. Cañizares.  On bifurcations, voltage collapse and load modeling , 1995 .

[35]  David J. Hill,et al.  Nonlinear dynamic load models with recovery for voltage stability studies , 1993 .

[36]  H. H. Happ,et al.  Power System Control and Stability , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[37]  L. Sainz,et al.  Study of aggregate models for squirrel-cage induction motors , 2005, IEEE Transactions on Power Systems.

[38]  F. Milano,et al.  An open source power system analysis toolbox , 2005, 2006 IEEE Power Engineering Society General Meeting.

[39]  George C. Verghese,et al.  Nonlinear Phenomena in Power Electronics , 2001 .

[40]  George C. Verghese,et al.  Principles of Power Electronics , 2023 .

[41]  Y. Sekine,et al.  Cascaded voltage collapse , 1990 .

[42]  Enrique Acha,et al.  FACTS: Modelling and Simulation in Power Networks , 2004 .

[43]  IEEE Report,et al.  Excitation System Models for Power System Stability Studies , 1981, IEEE Transactions on Power Apparatus and Systems.

[44]  Wilsun Xu,et al.  Voltage stability analysis using generic dynamic load models , 1994 .

[45]  K. R. Padiyar.  98/00377 Design of reactive current and voltage controller of static condenser , 1997 .

[46]  Walker L. Cisler,et al.  Electric Power Systems and Nuclear Power , 1952 .

[47]  William F. Tinney,et al.  Power Flow Solution by Newton's Method , 1967 .

[48]  Joe H. Chow,et al.  Time-Scale Modeling of Dynamic Networks with Applications to Power Systems , 1983 .

[49]  Edward Wilson Kimbark,et al.  Power System Stability , 1948 .

[50]  Stefan Johansson,et al.  POWER SYSTEM STABILITY BENEFITS WITH VSC DC-TRANSMISSION SYSTEMS , 2004 .

[51]  B. J. Harker,et al.  Computer Modelling of Electrical Power Systems , 1983 .

[52]  M. Pavella,et al.  Transient stability of power systems: Theory and practice , 1994 .

[53]  M.P. Bahrman,et al.  The ABCs of HVDC transmission technologies , 2007, IEEE Power and Energy Magazine.

[54]  S. Ihara,et al.  Load Representation in Power System Stability Studies , 1982, IEEE Transactions on Power Apparatus and Systems.

[55]  U. G. Knight,et al.  Power Systems in Emergencies: From Contingency Planning to Crisis Management , 2001 .

[56]  David J. Hill,et al.  On influence of load modelling for undervoltage load shedding studies , 1998 .

[57]  Peter W. Lehn,et al.  Experimental evaluation of STATCOM closed loop dynamics , 1998 .

[58]  Qin Wang,et al.  Continuation-based quasi-steady-state analysis , 2006, IEEE Transactions on Power Systems.

[59]  Muhammad H. Rashid,et al.  Analysis of three-phase AC-DC converters under unbalanced supply conditions , 1988 .

[60]  Leon Lapidus,et al.  Numerical Solution of Ordinary Differential Equations , 1972 .

[61]  Jos Arrillaga,et al.  Power Systems Electromagnetic Transients Simulation , 2002 .

[62]  Ieee Report,et al.  Dynamic Models for Steam and Hydro Turbines in Power System Studies , 1973 .

[63]  Jos Arrillaga,et al.  Computer Analysis of Power Systems , 1990 .

[64]  Stephen J. Chapman,et al.  Electric Machinery Fundamentals , 1991 .

[65]  E. Handschin,et al.  Continuation three-phase power flow: a tool for voltage stability analysis of unbalanced three-phase power systems , 2005, IEEE Transactions on Power Systems.

[66]  Charles Concordia,et al.  Synchronous machines : theory and performance , 1951 .

[67]  C. W. Taylor.  Power System Voltage Stability , 1993 .

[68]  Syed Nasar,et al.  Electric Power Systems , 1972 .