Steady state voltage stability with AVR voltage constraints

Abstract Voltage collapse phenomena are highly affected by the limits of Automatic Voltage Regulator (AVR) voltage that indirectly controls the amount of reactive power generation. Saturation of the limits of the AVR voltage of a unit may result in deterioration of voltage stability. In addition, in some cases when the power network is operating close to the voltage collapse point, the AVR voltage saturation of a unit can change the system voltages immediately from a stable to an unstable state. Thus, a dynamic voltage collapse leading to blackout is expected. This paper presents a steady state analysis of voltage instability associated to the AVR voltage saturation phenomena. For this purpose, a new methodology based on the predictor–corrector method is introduced to trace the total system equilibrium of the power system model. This methodology considers the AVR voltage limits of all generation units and computes both Saddle Node Bifurcation (SNB) and Saddle Limit Induced Bifurcation (SLIB) points. The New England 39-bus system is adopted to illustrate the effectiveness of the proposed method.

[1]  M. Kalantar,et al.  Optimal reactive power dispatch based on harmony search algorithm , 2011 .

[2]  P. Kundur,et al.  Power system stability and control , 1994 .

[3]  Luis Rouco,et al.  Steady-state analysis of the effect of reactive generation limits in voltage stability , 2009 .

[4]  D. Devaraj,et al.  On-line voltage stability assessment using radial basis function network model with reduced input features , 2011 .

[5]  R. Seydel.  From equilibrium to chaos , 1988 .

[6]  Nadarajah Mithulananthan,et al.  An economical generation direction for power system static voltage stability , 2006 .

[7]  M. Pai,et al.  Power system steady-state stability and the load-flow Jacobian , 1990 .

[8]  Nima Amjady,et al.  Multi-objective congestion management incorporating voltage and transient stabilities , 2009 .

[9]  Venkataramana Ajjarapu,et al.  Computational Techniques For Voltage Stability Assessment And Control , 2006 .

[10]  Patricia Liliana Arnera,et al.  Improving static techniques for the analysis of voltage stability , 2011 .

[11]  Sukumar Kamalasadan,et al.  A new intelligent algorithm for online voltage stability assessment and monitoring , 2009 .

[12]  Bikash C. Pal,et al.  Conic programming approach for static voltage stability analysis in radial networks , 2007 .

[13]  Nima Amjady,et al.  Congestion management considering voltage security of power systems , 2009 .

[14]  Mostafa Eidiani,et al.  A reliable and efficient method for assessing voltage stability in transmission and distribution networks , 2011 .

[15]  Werner C. Rheinboldt,et al.  A locally parameterized continuation process , 1983, TOMS.

[16]  K.Y. Lee,et al.  A maximum loading margin method for static voltage stability in power systems , 2006, IEEE Transactions on Power Systems.

[17]  P. Kundur,et al.  Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions , 2004, IEEE Transactions on Power Systems.

[18]  Nima Amjady.  Dynamic voltage security assessment by a neural network based method , 2003 .

[19]  Masoud Rashidinejad,et al.  Voltage security evaluation based on perturbation method , 2009 .

[20]  Y. Kataoka,et al.  Voltage stability limit of electric power systems with Generator reactive power constraints considered , 2005, IEEE Transactions on Power Systems.