A survey of the optimal power flow literature

A survey is presented of publications in the fields of optimal power flow and dispatching. It suggests a classification of methods based on the choice of optimization techniques. The survey is summarized in a single flow-chart-type figure, which indicates the relationship between methods, their chronology, and their popularity. This figure is based on a compilation of over three hundred publications. >

[1]  G. C. Contaxis,et al.  Decoupled Power System Security Dispatch , 1983, IEEE Transactions on Power Apparatus and Systems.

[2]  Sarosh Talukdar,et al.  A Fast and Robust Variable Metric Method for Optimum Power Flows , 1982, IEEE Transactions on Power Apparatus and Systems.

[3]  B Stott,et al.  Linear Programming for Power-System Network Security Applications , 1979, IEEE Transactions on Power Apparatus and Systems.

[4]  Albert M. Sasson,et al.  Combined Use of the Powell and Fletcher - Powell Nonlinear Programming Methods for Optimal Load Flows , 1969 .

[5]  Pierre Dersin,et al.  Feasibility Sets for Steady-State Loads in Electric Power Networks , 1982, IEEE Transactions on Power Apparatus and Systems.

[6]  W. F. Tinney,et al.  Some deficiencies in optimal power flow , 1988 .

[7]  H. H. Happ,et al.  Multi-Area Dispatch , 1971 .

[8]  H. Glavitsch,et al.  Security enhancement using an optimal switching power flow , 1989, Conference Papers Power Industry Computer Application Conference.

[9]  William F. Tinney,et al.  Optimum Load-Shedding Policy for Power Systems , 1968 .

[10]  L. K. Kirchmayer,et al.  Theory of Economic Operation of Interconnected Areas , 1959, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[11]  Efthymios Housos,et al.  Real and Reactive Power-System Security Dispatch Using a Variable Weights Optimization Method , 1983, IEEE Power Engineering Review.

[12]  Garng M. Huang,et al.  Control of reactive power and voltage in emergencies , 1985, Autom..

[13]  F. Galiana,et al.  An investigation of the solution to the optimal power flow problem incorporating continuation methods , 1990 .

[14]  Felix F. Wu,et al.  Large-Scale Optimal Power Flow: Effects of Initialization, Decoupling & Discretization , 1989, IEEE Power Engineering Review.

[15]  Fernando J. Jaimes,et al.  A Method for Optimum Scheduling of Power and Voltage Magnitude , 1969 .

[16]  Sarosh N. Talukdar,et al.  Quasi-Newton method for optimal power flows , 1981 .

[17]  M. Innorta,et al.  The Han Powell Algorithm Applied to the Optimization of the Reactive Power Generation in a Large Scale Electric Power System , 1983 .

[18]  Felix F. Wu,et al.  Large-scale optimal power flow , 1989 .

[19]  Dale Ross,et al.  Dynamic Economic Dispatch of Generation , 1980, IEEE Transactions on Power Apparatus and Systems.

[20]  H. M. Merrill,et al.  Some applications of optimization techniques to power systems problems , 1974 .

[21]  C. M. Shen,et al.  Power-system load scheduling with security constraints using dual linear programming , 1970 .

[22]  L. K. Kirchmayer,et al.  Analysis of Total and Incremental Losses in Transmission Systems , 1951, Transactions of the American Institute of Electrical Engineers.

[23]  Janis A. Bubenko,et al.  Voltage Optimization Using Augmented Lagrangian Functions and Quasi-Newton Techniques , 1989, IEEE Power Engineering Review.

[24]  F. Schweppe,et al.  A Generation Reallocation and Load Shedding Algorithm , 1979, IEEE Transactions on Power Apparatus and Systems.

[25]  A. Brameller,et al.  ON-LINE SECURITY CONSTRAINED ECONOMIC DISPATCH AND REACTIVE POWER CONTROL USING LINEAR PROGRAMMING , 1984 .

[26]  G. W. Stagg,et al.  An optimization technique for real and reactive power allocation , 1967 .

[27]  H. H. Happ,et al.  Static and Dynamic Var Compensation in System Planning , 1978, IEEE Transactions on Power Apparatus and Systems.

[28]  A. Sasson,et al.  Optimal Load Flow Solution Using the Hessian Matrix , 1973 .

[29]  Hachiro Isoda.  On-Line Load Dispatching Method Considering Load Variation Characteristics and Response Capabilities of Thermal Units , 1982, IEEE Power Engineering Review.

[30]  Jerry Horton,et al.  Voltage Optimization Using Combined Linear Programming & Gradient Techniques , 1984, IEEE Transactions on Power Apparatus and Systems.

[31]  R. Billinton,et al.  Generation Rescheduling and Load Shedding to Alleviate Line Overloads-Analysis , 1979, IEEE Transactions on Power Apparatus and Systems.

[32]  John Peschon,et al.  Optimum Control of Reactive Power Flow , 1968 .

[33]  P. Marannino,et al.  Advance Dispatch Procedures for the Centralized Control of Real Power , 1986, IEEE Power Engineering Review.

[34]  F. Galiana,et al.  Economic Dispatch Using the Reduced Hessian , 1982, IEEE Transactions on Power Apparatus and Systems.

[35]  M.S. Sachdev,et al.  A simulation technique for studying real and reactive power flow patterns , 1975, IEEE Transactions on Power Apparatus and Systems.

[36]  L. K. Kirchmayer,et al.  Evaluation of Methods of Co-ordinating Incremental Fuel Costs and Incremental Transmission Losses [includes discussion] , 1952, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[37]  J. K. Delson,et al.  Controlled Emission Dispatch , 1974 .

[38]  Bruce H. Krogh.  Allocation of Generation Ramping to Reduce Transmission Line Overloads , 1983, IEEE Transactions on Power Apparatus and Systems.

[39]  M. R. Gent,et al.  Minimum-Emission Dispatch , 1971 .

[40]  H. H. Happ,et al.  Optimal Power Dispatch , 1974 .

[41]  Felix F. Wu,et al.  A Two-stage Approach To Solving Large-scale Optimal Power Flows , 1979 .

[42]  Harry G. Kwatny,et al.  On the Optimal Dynamic Dispatch of Real Power , 1972 .

[43]  H. Happ,et al.  Developments in Optimal Power Flow , 1982, IEEE Transactions on Power Apparatus and Systems.

[44]  M. A. Laughton,et al.  Optimal electric power scheduling: A large nonlinear programming test problem solved by recursive quadratic programming , 1977, Math. Program..

[45]  P. Marannino,et al.  Large-scale application of the Han-Powell algorithm to compact models of static and dynamic dispatch of real power , 1987 .

[46]  K. B. Misra,et al.  Quasi-Newton method for optimal load-flow solution under emergency mode of operation , 1981 .

[47]  T. Lee,et al.  A Transportation Method for Economic Dispatching - Application and Comparison , 1980, IEEE Transactions on Power Apparatus and Systems.

[48]  M. J. H. Sterling,et al.  Optimum Dispatch of Active and Reactive Generation by Quadratic Programming , 1973 .

[49]  C. Cahn.  The Determination of Incremental and Total Loss Formulas from Functions of Voltage Phase Angles [includes discussion] , 1955, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[50]  P.A. Chamorel,et al.  An Efficient Constrained Power Flow Technique Based on Active-Reactive Decoupling and the use of Linear Programming , 1982, IEEE Transactions on Power Apparatus and Systems.

[51]  A. Merlin,et al.  NEW DEVELOPMENTS OF THE REACTIVE POWER FLOW OPTIMIZATION MODEL USED AT EDF , 1984 .

[52]  Li Wenyuan.  An on-line economic power dispatch method with security , 1985 .

[53]  H.H. Happ,et al.  Optimal power dispatchߞA comprehensive survey , 1977, IEEE Transactions on Power Apparatus and Systems.

[54]  A. Kishore,et al.  Static Optimization of Reactive Power Sources by use of Sensitivity Parameters , 1971 .

[55]  D. K. Subramanian.  Optimum Load Shedding Through Programming Techniques , 1971 .

[56]  V. F. Carvalho,et al.  Assessment of Real-Time Optimal Voltage Control , 1986, IEEE Transactions on Power Systems.

[57]  W. R. Brownlee.  Co-ordination of Incremental Fuel Costs and Incremental Transmission Losses by Functions of Voltage Phase Angles [includes discussion] , 1954, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[58]  Eric Hcbson,et al.  Network Constrained Reactive Power Control Using Linear Programming , 1980, IEEE Transactions on Power Apparatus and Systems.

[59]  Gamal A. Maria,et al.  A Newton Optimal Power Flow Program for Ontario Hydro EMS , 1987, IEEE Transactions on Power Systems.

[60]  R. J. Ringlee,et al.  Economic System Operation Considering Valve Throttling Losses II-Distribution of System Loads by the Method of Dynamic Programming , 1962, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[61]  J.B. Cadogan,et al.  Sulfur oxide emissions management for electric power systems , 1977, IEEE Transactions on Power Apparatus and Systems.

[62]  S.N. Talukdar,et al.  Computer-aided dispatch for electric power systems , 1981, Proceedings of the IEEE.

[63]  R. Podmore,et al.  Economic Power Dispatch with Line Security Limits , 1974 .

[64]  L. P. Hajdu,et al.  Optimal Corrective Rescheduling for Power System Security , 1971 .

[65]  J. E. Van Ness.  A Note on Incremental Loss Computation , 1962 .

[66]  Sarosh Talukdar,et al.  Decompositions For Optimal Power Flows , 1983, IEEE Transactions on Power Apparatus and Systems.

[67]  Yasuo Tamura,et al.  Real Time Control of System Voltage and Reactive Power , 1969 .

[68]  R. R. Shoults,et al.  A Dynamic Programming Based Method for Developing Dispatch Curves When Incremental Heat Rate Curves Are Non-Monotonically Increasing , 1986, IEEE Power Engineering Review.

[69]  H. L. Happ,et al.  OPTIMAL POWER DISPATCH -A COMPREHENSIVE SURVEY , 1977 .

[70]  William F. Tinney,et al.  Optimal Power Flow Solutions , 1968 .

[71]  T. Satoh,et al.  New Algorithms for Classic Economic Load Dispatch , 1984, IEEE Transactions on Power Apparatus and Systems.

[72]  R.R. Shoults,et al.  Reactive power control by least squares minimization , 1976, IEEE Transactions on Power Apparatus and Systems.

[73]  E. E. George.  Intrasystem Transmission Losses , 1943, Transactions of the American Institute of Electrical Engineers.

[74]  T. W. Sze,et al.  A New Approach to Loss Minimization in Electric Power Systems , 1957, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[75]  C. Charalambous,et al.  Solution of optimal load flow problem by modified recursive quadratic-programming method , 1981 .

[76]  G. P. Granelli,et al.  Security constrained dynamic dispatch of real power for thermal groups , 1988 .

[77]  H. W. Hale,et al.  Power Losses in Interconnected Transmission Networks [includes discussion] , 1952, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[78]  M. Innorta,et al.  Evaluation of Economy and/or Security Oriented Objective Functions for Reactive Power Scheduling in Large Scale Systems , 1983, IEEE Power Engineering Review.

[79]  Albert M. Sasson,et al.  Nonlinear Programming Solutions for Load-Flow, Minimum-Loss, and Economic Dispatching Problems , 1969 .

[80]  W. Tinney,et al.  Optimal Power Flow By Newton Approach , 1984, IEEE Transactions on Power Apparatus and Systems.

[81]  O. Alsac,et al.  Optimal Load Flow with Steady-State Security , 1974 .

[82]  L. K. Kirchmayer,et al.  Improved Method of Interconnecting Transmission Loss Formulas , 1958, Transactions of the American Institute of Electrical Engineers Part III Power Apparatus and Systems.

[83]  D. W. Wells,et al.  Method for economic secure loading of a power system , 1968 .

[84]  T.J. Bertram,et al.  An integrated package for real-time security enhancement , 1989, Conference Papers Power Industry Computer Application Conference.

[85]  John Peschon,et al.  Optimal power-flow solutions for power system planning , 1972 .

[86]  R. B. Squires,et al.  Economic Dispatch of Generation Directly Rrom Power System Voltages and Admittances , 1960, Transactions of the American Institute of Electrical Engineers Part III Power Apparatus and Systems.

[87]  A. Monticelli,et al.  Security-Constrained Optimal Power Flow with Post-Contingency Corrective Rescheduling , 1987, IEEE Transactions on Power Systems.

[88]  J. L. Carpentier,et al.  Optimal Power Flows: Uses, Methods and Developments , 1985 .

[89]  L.L. Garver,et al.  Load Supplying Capability of Generation-Transmission Networks , 1979, IEEE Transactions on Power Apparatus and Systems.

[90]  C. M. Shen,et al.  Determination of optimum power-system operating conditions under constraints , 1969 .

[91]  T. W. Sze,et al.  Some Applications of a New Approach to Loss Minimization in Electrical Utility Systems , 1958, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[92]  H. Happ,et al.  Large Scale Optimal Power Flow , 1982, IEEE Transactions on Power Apparatus and Systems.

[93]  Kwang Y. Lee,et al.  Optimal Operational Planning: A Unified Approach to Real and Reactive Power Dispatches , 1991 .

[94]  K. Morsztyn,et al.  Sensitivity analysis of the problem of economic dispatch of thermal power systems , 1975 .

[95]  H. Glavitsch,et al.  Integrated security control using an optimal power flow and switching concepts , 1988 .

[96]  S. Narita,et al.  A Computational Algorithm for Real-Time Control of System Voltage and Reactive Power Part I - Problem Formulation , 1971 .

[97]  W. A. Lewis,et al.  Transmission Losses and Economy Loading by the Use of Admittance Constants , 1963 .

[98]  L. K. Kirchmayer,et al.  Analysis of Losses in Loop-Interconnected Systems [includes discussion] , 1953, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[99]  William D. Stevenson,et al.  A New Method of Determining Loss Coefficients , 1968 .

[100]  F. D. Galiana,et al.  The Minimum Cost Optimal Power Flow Problem Solved via the Restart Homotopy Continuation Method , 1989, IEEE Power Engineering Review.

[101]  W. Stadlin,et al.  Network Flow Linear Programming Techniques and Their Application to Fuel Scheduling and Contingency Analysis , 1984, IEEE Transactions on Power Apparatus and Systems.

[102]  Roy Billinton,et al.  Optimal Real and Reactive Power Operation in a Hydrothermal System , 1972 .

[103]  S. Chan,et al.  A Solution of the Transmission Limited Dispatch Problem by Sparse Linear Programming , 1979, IEEE Transactions on Power Apparatus and Systems.

[104]  S.C. Savulescu,et al.  Qualitative indices for the system voltage and reactive power control , 1976, IEEE Transactions on Power Apparatus and Systems.

[105]  O. Alsac,et al.  Security analysis and optimization , 1987, Proceedings of the IEEE.

[106]  V. H. Quintana,et al.  Sparse Reactive Power Scheduling by a Penalty Function???Linear Programming Technique , 1986, IEEE Power Engineering Review.

[107]  Kiyoshi Kumai,et al.  Power System Voltage Control by Using a Process Control Computer , 1968 .

[108]  L. K. Kirchmayer,et al.  Automatic Digital Computer Applied to Generation Scheduling [includes discussion] , 1954, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[109]  Daniel S. Kirschen,et al.  MW/voltage control in a linear programming based optimal power flow , 1988 .

[110]  R. Bacher,et al.  Real-time optimal power flow in automatic generation control , 1988 .

[111]  T. Lee,et al.  Modified Minimum Cost Flow Dispatching Method for Power System Application , 1981, IEEE Transactions on Power Apparatus and Systems.

[112]  L. Freris,et al.  Optimisation of economic dispatch through quadratic and linear programming , 1973 .

[113]  W. O. Stadlin,et al.  A Real Time Optimizer for Security Dispatch , 1974 .

[114]  H. Happ,et al.  Quadratically Convergent Optimal Power Flow , 1984, IEEE Transactions on Power Apparatus and Systems.

[115]  Lawrence Hasdorff,et al.  Economic Dispatch Using Quadratic Programming , 1973 .

[116]  T. Dillon,et al.  Rescheduling, Constrained Participation Factors and Parameter Sensitivity in the Optimal Power Flow Problem , 1981, IEEE Transactions on Power Apparatus and Systems.

[117]  H. Happ,et al.  Benefits of Voltage Scheduling in Power Systems , 1980, IEEE Transactions on Power Apparatus and Systems.

[118]  G. L. Decker,et al.  Valve point loading of turbines , 1958, Electrical Engineering.