Voltage Stability Proximity Index Determined by LES Algorithm

In this paper, we propose an easily computable proximity index for predicting voltage collapse of a load bus using only measured values of the bus voltage and power; Using these measurements a polynomial of fourth order is obtained by using LES estimation algorithms. The sum of the absolute values of the polynomial coefficient gives an idea of the critical bus. We demonstrate the applicability of our proposed method on 6 bus test system. The results obtained verify its applicability, as well as its accuracy and the simplicity. From this indicator, it is allowed to predict the voltage instability or the proximity of a collapse. Results obtained by the PV curve are compared with corresponding values by QV curves and are observed to be in close agreement.

• Benalia Nadia
• Bensiali Nadia
• Mekki Mounira

• least square method
• Voltage Collapse
• Voltage Stability
• PV curve

[1] B. LEe and V. Ajjarapu. "Invariant subspace parametric sensitivity (ISPS)
of structure-preserving power system models." IEEE Trans.on Power
Systems, Vol.11, pp: 845-850, Feb.1996.
[2] Feng Zhihong , Liu Qu, Ni Yixin, et al. "Analysis steady-state voltage
stability in multi-machine power systems by singular value", Proceeding of the CSEE,vol. 12, pp: 10-18,Mar. 1992.
[3] T. Nagao, K. Tanaka and K. Takenaka. "Development of static and Simulation programs for voltage stability studies of bulk power system," IEEE Trans.on Power System, vol. 12, pp: 273- 281, Jan. 1997.
[4] K.Lba, H.Suzuki, M.Egawa, et al. "Calculation of critical loading condition with nose curve using homotopy continuation method," IEEE Trans on PowerSystems, vol.6, pp: 584-593, May.1991.
[5] Liu Zhuo. "The impedance analyses of heavy load nose in voltage stability studies," Proceedings of the CSEE, vol. 20, pp:35-39, Apr.2000.
[6] I. Musirin and T. K. A. Rahman. "On-line voltage stability index for voltage collapse prediction in power system",. In 2001 International conference on Engineering and Technology (BICET2001), Brunei, October 2001.
[7] P. Kundur, "Power System Stability and Control," McGraw-Hill Inc.,
New York, USA, 1994.
[8] TerrenceJ.Akai, "Applied Numerical methods for engineers", John Wiley & sons, Inc.,1994.