Voltage stability limit of electric power systems with Generator reactive power constraints considered

This paper investigates the smoothness of the transfer limit surface, or the loadability surface, of power systems. The reactive power output constraints of generators are taken into consideration. A new methodology employed for the investigation is based on characterizing each maximum loading point by the state of the generators (PV or PQ). Then the transfer limit surface is investigated through careful observation of nose curves. In those special cases with only one constraint, the transfer limit surface is smooth. However, in the more general case of multiple constraints, the transfer limit surface is nonsmooth. These properties have been confirmed in a numerical example using a system with two constraints and three load parameters.

[1]  Yi Hu,et al.  Engineering foundations for the determination of security costs , 1991 .

[2]  I. Hiskens,et al.  Exploring the power flow solution space boundary , 2001, PICA 2001. Innovative Computing for Power - Electric Energy Meets the Market. 22nd IEEE Power Engineering Society. International Conference on Power Industry Computer Applications (Cat. No.01CH37195).

[3]  Yoshihiko Kataoka A rapid solution for the maximum loading point of a power system , 1994 .

[4]  Thierry Van Cutsem,et al.  Voltage Stability of Electric Power Systems , 1998 .

[5]  W. Rosehart,et al.  Optimal power flow incorporating voltage collapse constraints , 1999, 1999 IEEE Power Engineering Society Summer Meeting. Conference Proceedings (Cat. No.99CH36364).

[6]  F. Galiana,et al.  Quantitative Analysis of Steady State Stability in Power Networks , 1981, IEEE Transactions on Power Apparatus and Systems.

[7]  N. Maratos,et al.  Bifurcation points and loadability limits as solutions of constrained optimization problems , 2000, 2000 Power Engineering Society Summer Meeting (Cat. No.00CH37134).

[8]  F. Alvarado,et al.  Point of collapse methods applied to AC/DC power systems , 1992 .

[9]  Y. Kataoka A probabilistic nodal loading model and worst case solutions for electric power system voltage stability assessment , 2003 .

[10]  Hsiao-Dong Chiang,et al.  CPFLOW: a practical tool for tracing power system steady-state stationary behavior due to load and generation variations , 1995 .

[11]  Ian Dobson,et al.  Voltage collapse precipitated by the immediate change in stability when generator reactive power limits are encountered , 1992 .

[12]  Venkataramana Ajjarapu,et al.  The continuation power flow: a tool for steady state voltage stability analysis , 1991 .

[13]  H. Schättler,et al.  Dynamics of large constrained nonlinear systems-a taxonomy theory [power system stability] , 1995 .

[14]  R. Seydel From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis , 1988 .

[15]  Y. Kataoka,et al.  An approach for the regularization of a power flow solution around the maximum loading point , 1992 .

[16]  I. Dobson,et al.  New methods for computing a closest saddle node bifurcation and worst case load power margin for voltage collapse , 1993 .

[17]  Claudio A. Canizares,et al.  Multiparameter bifurcation analysis of the south Brazilian power system , 2003 .

[18]  V. Ajjarapu Identification of steady-state voltage stability in power systems , 1991 .

[19]  Ian A. Hiskens,et al.  Direct calculation of reactive power limit points , 1996 .

[20]  I. Dobson,et al.  Sensitivity of Transfer Capability Margins with a Fast Formula , 2002, IEEE Power Engineering Review.

[21]  Claudio A. Canizares,et al.  On the linear profile of indices for the prediction of saddle-node and limit-induced bifurcation points in power systems , 2003 .

[22]  L. Lu,et al.  Computing an optimum direction in control space to avoid stable node bifurcation and voltage collapse in electric power systems , 1992 .