Dynamic model reduction: An overview of available techniques with application to power systems
暂无分享,去创建一个
A. Sarić | T. Šarić | D. Djukić | D Savo Djukic | T Andrija Saric | Savo D. Đukić | D. Savo | uki | Andrija T. Sari
[1] Petar V. Kokotovic,et al. Singular perturbations and time-scale methods in control theory: Survey 1976-1983 , 1982, Autom..
[2] J. Marsden,et al. A subspace approach to balanced truncation for model reduction of nonlinear control systems , 2002 .
[3] Joe H. Chow,et al. Power system reduction to simplify the design of damping controllers for interarea oscillations , 1996 .
[4] Michele Trovato,et al. Dynamic modelling for retaining selected portions of interconnected power networks , 1988 .
[5] R. Schlueter,et al. Modal-Coherent Equivalents Derived from an RMS Coherency Measure , 1980, IEEE Transactions on Power Apparatus and Systems.
[6] B. Anderson,et al. Frequency weighted balanced reduction technique: a generalization and an error bound , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.
[7] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[8] M. A. Johnson,et al. Identification of essential states for reduced-order models using a modal analysis , 1985 .
[9] Thilo Penzl,et al. A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations , 1998, SIAM J. Sci. Comput..
[10] E. Jan W. ter Maten,et al. Model Reduction for Circuit Simulation , 2011 .
[11] Felix F. Wu,et al. Structure-preserving model reduction with applications to power system dynamic equivalents , 1982 .
[12] E. Jonckheere,et al. A contraction mapping preserving balanced reduction scheme and its infinity norm error bounds , 1988 .
[13] Ching-An Lin,et al. Model Reduction via Frequency Weighted Balanced Realization , 1990, 1990 American Control Conference.
[14] M.A. Pai,et al. Model reduction in power systems using Krylov subspace methods , 2005, IEEE Transactions on Power Systems.
[15] M. Aoki. Control of large-scale dynamic systems by aggregation , 1968 .
[16] I. Postlethwaite,et al. Truncated balanced realization of a stable non-minimal state-space system , 1987 .
[17] Kenji Fujimoto,et al. Model Reduction of Nonlinear Differential-Algebraic Equations , 2007 .
[18] P. Kundur,et al. Dynamic reduction of large power systems for stability studies , 1997 .
[19] J. M. Ramirez Arredondo,et al. Obtaining dynamic equivalents through the minimization of a line flows function , 1999 .
[20] P. Kokotovic,et al. Area Decomposition for Electromechanical Models of Power Systems , 1980 .
[21] L. Rouco,et al. Large-Scale Power System Dynamic Equivalents Based on Standard and Border Synchrony , 2010, IEEE Transactions on Power Systems.
[22] Joe H. Chow,et al. Time-Scale Modeling of Dynamic Networks with Applications to Power Systems , 1983 .
[23] Federico Milano,et al. Power System Modelling and Scripting , 2010 .
[24] Danny C. Sorensen,et al. A Modified Low-Rank Smith Method for Large-Scale Lyapunov Equations , 2004, Numerical Algorithms.
[26] Sidhartha Panda,et al. Evolutionary Techniques for Model Order Reduction of Large Scale Linear Systems , 2009 .
[27] Tatjana Stykel,et al. Gramian-Based Model Reduction for Descriptor Systems , 2004, Math. Control. Signals Syst..
[28] R. Podmore,et al. Dynamic Aggregation of Generating Unit Models , 1978, IEEE Transactions on Power Apparatus and Systems.
[29] Roland W. Freund,et al. Efficient linear circuit analysis by Pade´ approximation via the Lanczos process , 1994, EURO-DAC '94.
[30] P. Sauer,et al. Model reduction and energy function analysis of power systems using singular perturbation techniques , 1986, 1986 25th IEEE Conference on Decision and Control.
[31] J. M. Undrill,et al. Construction of Power System lectromechanical Equivalents by Modal Analysis , 1971 .
[32] W. Marquardt,et al. On Order Reduction of Nonlinear Differential-Algebraic Process Models , 1990, 1990 American Control Conference.
[33] George C. Verghese,et al. Extensions, simplifications, and tests of synchronic modal equivalencing (SME) , 1997 .
[34] Jacob K. White,et al. Low Rank Solution of Lyapunov Equations , 2002, SIAM J. Matrix Anal. Appl..
[35] N. Martins,et al. Gramian-Based Reduction Method Applied to Large Sparse Power System Descriptor Models , 2008, IEEE Transactions on Power Systems.
[36] K. Zhou. Frequency-weighted L_∞ nomn and optimal Hankel norm model reduction , 1995 .
[37] K. Poolla,et al. NUMERICAL SOLUTION OF THE LYAPUNOV EQUATION BY APPROXIMATE POWER ITERATION , 1996 .
[38] Louis Wehenkel,et al. USE OF KOHONEN FEATURE MAPS FOR THE ANALYSIS OF VOLTAGE SECURITY RELATED ELECTRICAL DISTANCES , 1998 .
[39] Joe H. Chow,et al. Singular perturbation analysis of large-scale power systems , 1990 .
[40] Robert A. Schlueter,et al. Structural archetypes for coherency: A framework for comparing power system equivalents , 1984, Autom..
[41] B. Shafai,et al. Balanced realization and model reduction of singular systems , 1994 .
[42] U. Di Caprio. Theoretical and practical dynamic equivalents in multimachine power systems: Part 1: Construction of coherency-based theoretical equivalent , 1982 .
[43] Joe H. Chow,et al. Aggregation of exciter models for constructing power system dynamic equivalents , 1998 .
[44] J. M. A. Scherpen,et al. Balancing for nonlinear systems , 1993 .
[45] D.N. Ewart,et al. Dynamic equivalents from on-line measurements , 1975, IEEE Transactions on Power Apparatus and Systems.
[46] Bogdan Marinescu,et al. Dynamic equivalent of neighbor power system for day-ahead stability studies , 2010, 2010 IEEE PES Innovative Smart Grid Technologies Conference Europe (ISGT Europe).
[47] L. Litz,et al. Order Reduction of Linear State-Space Models Via Optimal Approximation of the Nondominant Modes , 1980 .
[48] E. Davison,et al. On "A method for simplifying linear dynamic systems" , 1966 .
[49] D. Enns. Model reduction with balanced realizations: An error bound and a frequency weighted generalization , 1984, The 23rd IEEE Conference on Decision and Control.
[50] V. Vittal,et al. Slow coherency-based islanding , 2004, IEEE Transactions on Power Systems.
[51] Fred C. Schweppe,et al. Distance Measures and Coherency Recognition for Transient Stability Equivalents , 1973 .
[52] K. R. Padiyar,et al. ENERGY FUNCTION ANALYSIS FOR POWER SYSTEM STABILITY , 1990 .
[53] P. Kokotovic,et al. Integral manifold as a tool for reduced-order modeling in nonlinear systems: A synchronous machine case study , 1987, 26th IEEE Conference on Decision and Control.
[54] Y. Saad,et al. Numerical solution of large Lyapunov equations , 1989 .
[55] Romeu Reginatto,et al. A software tool for the determination of dynamic equivalents of power systems , 2010, 2010 IREP Symposium Bulk Power System Dynamics and Control - VIII (IREP).
[56] I. Jaimoukha,et al. Krylov subspace methods for solving large Lyapunov equations , 1994 .
[57] B. Moore. Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .
[58] Erik I. Verriest,et al. Time Variant Balancing and Nonlinear Balanced Realizations , 2008 .
[59] Thomas F. Edgar,et al. Balancing Approach to Minimal Realization and Model Reduction of Stable Nonlinear Systems , 2002 .
[60] E. Wachspress. Iterative solution of the Lyapunov matrix equation , 1988 .
[61] A.H. El-Abiad,et al. Dynamic equivalents using operating data and stochastic modeling , 1976, IEEE Transactions on Power Apparatus and Systems.
[62] Dejan J. Sobajic,et al. Artificial neural network based identification of dynamic equivalents , 1992 .
[63] Jacob K. White,et al. Low-Rank Solution of Lyapunov Equations , 2004, SIAM Rev..
[64] V. Sreeram,et al. Model reduction of singular systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).
[65] J. Peraire,et al. Balanced Model Reduction via the Proper Orthogonal Decomposition , 2002 .
[66] Miss A.O. Penney. (b) , 1974, The New Yale Book of Quotations.
[67] Joe H. Chow,et al. Singular perturbation and iterative separation of time scales , 1979, Autom..
[68] P. Kokotovic,et al. Integral manifold as a tool for reduced-order modeling of nonlinear systems: A synchronous machine case study , 1989 .
[69] Juergen Hahn,et al. Reduction of stable differential–algebraic equation systems via projections and system identification , 2005 .
[70] M. Safonov,et al. A Schur method for balanced-truncation model reduction , 1989 .
[71] O. Anaya-Lara,et al. Identification of the dynamic equivalent of a power system , 2009, 2009 44th International Universities Power Engineering Conference (UPEC).
[72] V. Sreeram,et al. A new frequency-weighted balanced truncation method and an error bound , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.
[73] Petar V. Kokotovic,et al. Singular perturbations and order reduction in control theory - An overview , 1975, at - Automatisierungstechnik.
[74] Eric James Grimme,et al. Krylov Projection Methods for Model Reduction , 1997 .
[75] Umberto Di Caprio. Conditions for theoretical coherency in multimachine power systems , 1981, Autom..
[76] Thomas F. Edgar,et al. An improved method for nonlinear model reduction using balancing of empirical gramians , 2002 .
[77] Edmond A. Jonckheere,et al. A new set of invariants for linear systems--Application to reduced order compensator design , 1983 .
[78] M. Pai. Energy function analysis for power system stability , 1989 .
[79] A. Varga. Balanced truncation model reduction of periodic systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).
[80] Felix F. Wu,et al. COHERENCY IDENTIFICATION FOR POWER SYSTEM DYNAMIC EQUIVALENTS. , 1978 .
[81] V. Vittal,et al. Self-Healing in Power Systems: An Approach Using Islanding and Rate of Frequency Decline Based Load Shedding , 2002, IEEE Power Engineering Review.
[82] George Troullinos,et al. Coherency and Model Reduction: A State Space Point of View , 1989, IEEE Power Engineering Review.
[83] T. Edgar,et al. Controllability and observability covariance matrices for the analysis and order reduction of stable nonlinear systems , 2003 .
[84] Boris Lohmann,et al. Application of model order reduction to a hydropneumatic vehicle suspension , 1995, IEEE Trans. Control. Syst. Technol..
[85] K. S. Rao,et al. Coherency Based System Decomposition into Study and External Areas Using Weak Coupling , 1985, IEEE Transactions on Power Apparatus and Systems.
[86] Jer-Nan Juang,et al. Model reduction in limited time and frequency intervals , 1990 .
[87] D. Trudnowski. Order reduction of large-scale linear oscillatory system models , 1994 .
[88] Lawrence T. Pileggi,et al. Asymptotic waveform evaluation for timing analysis , 1990, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..
[89] Thomas Voss,et al. Model Reduction for Nonlinear Differential-Algebraic Equations , 2007 .
[90] U. Desai,et al. A transformation approach to stochastic model reduction , 1984 .
[91] R. Schlueter,et al. Computational Algorithms for Constructing Modal-Coherent Dynamic Equivalents , 1982, IEEE Transactions on Power Apparatus and Systems.
[92] Perinkulam S. Krishnaprasad,et al. Computing Balanced Realizations for Nonlinear Systems , 2000 .
[93] Jerrold E. Marsden,et al. Empirical model reduction of controlled nonlinear systems , 1999, IFAC Proceedings Volumes.
[94] George C. Verghese,et al. Synchrony, aggregation, and multi-area eigenanalysis , 1995 .
[95] J. Scherpen,et al. Singular Value Analysis and Balanced Realizations for Nonlinear Systems , 2008 .
[96] A. Antoulas,et al. A Survey of Model Reduction by Balanced Truncation and Some New Results , 2004 .
[97] F. Luis Pagola,et al. Selective Modal Analysis in Power Systems , 1983, 1983 American Control Conference.
[98] Athanasios C. Antoulas,et al. Approximation of Large-Scale Dynamical Systems , 2005, Advances in Design and Control.
[99] Kemin Zhou,et al. Frequency-weighted 𝓛∞ norm and optimal Hankel norm model reduction , 1995, IEEE Trans. Autom. Control..
[100] G. Troullinos,et al. Estimating Order Reduction for Dynamic Equivalents , 1985, IEEE Transactions on Power Apparatus and Systems.
[101] K. Fujimoto,et al. Singular value analysis of Hankel operators for general nonlinear systems , 2003, 2003 European Control Conference (ECC).
[102] I. Troch,et al. A Simulation Free Nonlinear Model Order Reduction Approach and Comparison Study , 2002 .
[103] A. Laub,et al. Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms , 1987 .
[104] Muruhan Rathinam,et al. A New Look at Proper Orthogonal Decomposition , 2003, SIAM J. Numer. Anal..
[105] Andrija T. Saric,et al. Identification of nonparametric dynamic power system equivalents with artificial neural networks , 2003 .
[106] Robin Podmore,et al. Identification of Coherent Generators for Dynamic Equivalents , 1978, IEEE Transactions on Power Apparatus and Systems.
[107] V. Vittal,et al. Right-Sized Power System Dynamic Equivalents for Power System Operation , 2011, IEEE Transactions on Power Systems.
[108] Federico Milano,et al. Dynamic REI equivalents for short circuit and transient stability analyses , 2009 .
[109] N. Martins,et al. Computing Dominant Poles of Power System Multivariable Transfer Functions , 2002, IEEE Power Engineering Review.
[110] S. Hammarling. Numerical Solution of the Stable, Non-negative Definite Lyapunov Equation , 1982 .
[111] Nelson Martins,et al. Computing dominant poles of power system transfer functions , 1996 .
[112] R. A. Smith. Matrix Equation $XA + BX = C$ , 1968 .
[113] Dominique Bonvin,et al. A generalized structural dominance method for the analysis of large-scale systems , 1982 .
[114] S. Geeves. A modal-coherency technique for deriving dynamic equivalents , 1988 .
[115] Peter Benner,et al. Dimension Reduction of Large-Scale Systems , 2005 .
[116] N. Sinha,et al. On the selection of states to be retained in a reduced-order model , 1984 .
[117] Wolfgang Marquardt,et al. Order reduction of non-linear differential-algebraic process models , 1991 .
[118] Albert Chang,et al. Power System Dynamic Equivalents , 1970 .
[119] Luis Rouco,et al. Synchronic modal equivalencing (SME) for structure-preserving dynamic equivalents , 1996 .
[120] Yao-nan Yu,et al. Estimation of External Dynamic Equivalents of a Thirteen-Machine System , 1981, IEEE Transactions on Power Apparatus and Systems.
[121] Joe H. Chow,et al. Coherency based decomposition and aggregation , 1982, Autom..
[122] L. Reichel,et al. Krylov-subspace methods for the Sylvester equation , 1992 .
[123] E. M. Gulachenski,et al. Testing of the Modal Dynamic Equivalents Technique , 1978, IEEE Transactions on Power Apparatus and Systems.
[124] Rogelio Oliva,et al. Structural dominance analysis and theory building in system dynamics , 2008 .
[125] J. Machowski,et al. External subsystem equivalent model for steady-state and dynamic security assessment , 1988 .
[126] Joe H. Chow,et al. Inertial and slow coherency aggregation algorithms for power system dynamic model reduction , 1995 .
[127] J. H. Chow,et al. Large-scale system testing of a power system dynamic equivalencing program , 1998 .
[128] M. Green,et al. A relative error bound for balanced stochastic truncation , 1988 .
[129] John F. Dorsey,et al. Reducing the order of very large power system models , 1988 .
[130] Janusz Bialek,et al. Power System Dynamics: Stability and Control , 2008 .