Initializing Dynamic Power System Simulations Using Eigenvalue Formulations of the Induction Machine and Power Flow Models

Initializing internal variables in dynamic power system simulations is a two-stage process. First, a power flow model is used to find the steady state bus variables. Second, values for the internal variables associated with bus connected components are determined such that the components' terminal values match the bus variables calculated from the power flow model. Initializing most components' variables is a straightforward, direct process. However, initializing induction machine variables traditionally uses an indirect, iterative process. In this paper, eigenvalue formulations are detailed for both the induction machine initialization and power flow models, which provide a direct method for determining all possible sets of induction machine initializations and offer a novel model for the power flow equations.

[1]  Heng Chen.  Cascaded Stalling of Induction Motors in Fault-Induced Delayed Voltage Recovery (FIDVR) , 2011 .

[2]  Daniel K. Molzahn,et al.  An eigenvalue formulation for determining initial conditions of induction machines in dynamic power system simulations , 2010, Proceedings of 2010 IEEE International Symposium on Circuits and Systems.

[3]  D. Kosterev,et al.  Load modeling in power system studies: WECC progress update , 2008, 2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century.

[4]  I. Candela,et al.  Modelling of squirrel-cage induction motors for electromagnetic transient programs , 2009 .

[5]  Federico Milano,et al.  Equivalency of Continuation and Optimization Methods to Determine Saddle-Node and Limit-Induced Bifurcations in Power Systems , 2009, IEEE Transactions on Circuits and Systems I: Regular Papers.

[6]  Jorge L. Moiola,et al.  Bifurcation Analysis on a Multimachine Power System Model , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[7]  D. Harville.  Matrix Algebra From a Statistician's Perspective , 1998 .

[8]  David S. Watkins,et al.  The matrix eigenvalue problem - GR and Krylov subspace methods , 2007 .

[9]  Ganga Agnihotri,et al.  Development of Ant Algorithm for load flow analysis , 2009, 2009 IEEE/PES Power Systems Conference and Exposition.

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

[11]  Takashi Hikihara,et al.  Discontinuous Dynamics of Electric Power System With DC Transmission: A Study on DAE System , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[12]  Thomas J. Overbye,et al.  A new method for finding low-voltage power flow solutions , 2000, 2000 Power Engineering Society Summer Meeting (Cat. No.00CH37134).

[13]  P. A. Browne,et al.  Numerical Methods for Two Parameter Eigenvalue Problems , 2008 .

[14]  Robert D. Laramore,et al.  An Introduction to Electrical Machines and Transformers , 1981 .

[15]  James S. Thorp,et al.  An efficient algorithm to locate all the load flow solutions , 1993 .

[16]  J. Baillieul,et al.  Geometric critical point analysis of lossless power system models , 1982 .

[17]  Mulukutla S. Sarma,et al.  Power System Analysis and Design , 1993 .

[18]  D. Kosterev,et al.  An Interim Dynamic Induction Motor Model for Stability Studies in the WSCC , 2002, IEEE Power Engineering Review.

[19]  Peng Zhang,et al.  Shifted-Frequency Analysis for EMTP Simulation of Power-System Dynamics , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[20]  A. G. Exposito,et al.  Augmented Rectangular Load Flow Model , 2002, IEEE Power Engineering Review.

[21]  Chi-Tsong Chen,et al.  Linear System Theory and Design , 1995 .

[22]  Peter W. Sauer,et al.  Power System Dynamics and Stability , 1997 .

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

[24]  J. Baillieul.  The critical point analysis of electric power systems , 1984, The 23rd IEEE Conference on Decision and Control.

[25]  A. Li,et al.  Development of constrained-genetic-algorithm load-flow method , 1997 .

[26]  Marvin Marcus.  Multiparameter Eigenvalue Problems: Matrices and Compact Operators (F. V. Atkinson) , 1973 .

[27]  Hans Volkmer,et al.  Multiparameter eigenvalue problems and expansion theorems , 1988 .

[28]  Chen-Sung Chang,et al.  Toward a CPFLOW-based algorithm to compute all the type-1 load-flow solutions in electric power systems , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[29]  S. Low,et al.  Zero Duality Gap in Optimal Power Flow Problem , 2012, IEEE Transactions on Power Systems.