On the Use of Singular Perturbations to Neglect the Dynamic Saliency of Synchronous Machines

A common approximation used in the analysis of power systems is the neglect of the dynamic saliency in synchronous machines. In this paper, it is shown that eliminating the error associated with neglecting dynamic saliency can be accomplished with the addition of singular perturbation(s) into the machine model. By considering the elimination of error in such a way, singular-perturbationbased model-order-reduction techniques are used to derive detailed-and reduced-order models of synchronous machines in which dynamic saliency is eliminated with zero error and no added numerical cost.

[1]  I. M. Canay,et al.  Causes of Discrepancies on Calculation of Rotor Quantities and Exact Equivalent Diagrams of the Synchronous Machine , 1969 .

[2]  J. M. Undrill,et al.  Structure in the Computation of Power-System Nonlinear Dynamical Response , 1969 .

[3]  P. Kundur,et al.  Simulation of the Non-Linear Dynamic Response of Interconnected Synchronous Machines Part I-Machine Modelling and Machine-Network Interconnection Equations , 1972 .

[4]  F. Nozari,et al.  The Theory of Neglecting Stator Transients , 1979, IEEE Transactions on Power Apparatus and Systems.

[5]  L. Litz,et al.  State decomposition for singular perturbation order reduction—A modal approach† , 1981 .

[6]  P. Kokotovic,et al.  Singular perturbations and time scales in nonlinear models of power systems , 1982 .

[7]  Petar V. Kokotovic,et al.  Singular perturbations and time-scale methods in control theory: Survey 1976-1983 , 1982, Autom..

[8]  P.L. Dandeno.  Current Usage & Suggested Practices in Power System Stability Simulations for Synchronous Machines , 1986, IEEE Transactions on Energy Conversion.

[9]  P. Kokotovic,et al.  An integral manifold approach to reduced order dynamic modeling of synchronous machines , 1988 .

[10]  P. Kokotovic,et al.  Integral manifold as a tool for reduced-order modeling of nonlinear systems: A synchronous machine case study , 1989 .

[11]  Oleg Wasynczuk,et al.  Analysis and average-value modeling of line-commutated converter-synchronous machine systems , 1993 .

[12]  Jr. J.L. Kirtley.  On turbine-generator rotor equivalent circuits , 1994 .

[13]  P. Viarouge,et al.  On equivalent circuit structures for empirical modeling of turbine-generators , 1994 .

[14]  Oleg Wasynczuk,et al.  An efficient and accurate model for the simulation and analysis of synchronous machine/converter systems , 1998 .

[15]  Steven D. Pekarek,et al.  An accurate method of neglecting dynamic saliency of synchronous machines in power electronic based systems , 1999 .