Long-Term Voltage Stability Using Load Models In Electric Power Systems

Keywords: voltage stability, load models, PV curve, continuation power flow


Voltage stability is a fundamental issue in the study and analysis of all power systems,
which is why in this paper this problem is addressed using to Continuation Power Flows method (CPF,
for its acronym in English), which through the reformulation of specified powers we proceed to include
equations that represent the different load models. This is to make a comparison of the collapse
points obtained with and without load models, in this way to be able to analyze the differences that
occur between the two results. The tests of the study are carried out using a code made in Matlab,
which uses the data of the IEEE 9-bar system. This code allows obtaining the PV curve of the bar to
be analyzed, resulting in the collapse point obtained without including a load model and the collapse
point with a load model. Based on this, a comparison is made between a voltage stability analysis
using the conventional CPF method and another that includes load models. The results found to allow
us to establish that the effect of the load models on the voltage stability is less as the system enters
situations of instability.


Download data is not yet available.


[1] International Energy Agency, “IEA: World Energy Outlook Spanish Translation,” Iea, p. 14, 2018, [Online]. Available: https://webstore.iea.org/download/summary/190?filename=spanish-weo-2018-es.pdf%0Ahttps://www.iea.org/weo/.

[2] F. Althowibi and M. Mustafa, “Power System Voltage Stability: Indications, Allocations and Voltage Collapse Predictions,” Int. J. Adv. Res. Electr. Instrumnetation Eng., vol. 2, no. 7, pp. 3138–3152, 2013.

[3] P. Kundur et al., “Definition and classification of power system stability,” IEEE Trans. Power Syst., vol. 19, no. 3, pp. 1387–1401, 2004, doi: 10.1109/TPWRS.2004.825981.

[4] J. H. Chow and J. J. Sanchez‐Gasca, “Steady‐State Voltage Stability Analysis,” Power Syst. Model. Comput. Control, pp. 47–85, 2019, doi: 10.1002/9781119546924.ch3.

[5] M. Chakravorty and S. Patra, “Voltage stability analysis using conventional methods,” Int. Conf. Signal Process. Commun. Power Embed. Syst. SCOPES 2016 - Proc., pp. 496–501, 2017, doi: 10.1109/SCOPES.2016.7955879.

[6] V. Kundur, P., Paserba, J., Ajjarapu, V., Andersson, G., Bose, A., Canizares, C., Hatziargyriou, N., Hill, D., Stankovic, A., Taylor, C., Van Cutsem, T., and Vittal, “Definition and Classification of Power System Stability IEEE/CIGRE Joint Task Force on Stability Terms and Definitions,” IEEE Trans. Power Syst., vol. 19, no. 3, pp. 1387–1401, 2004, doi: 10.1109/TPWRS.2004.825981.

[7] T. F. 38-02-10, “Modelling of voltage collapse including dynamic phenoma,” Analysis, vol. 38, p. 150, 1993.

[8] J. D. Pinzón and D. G. Colomé, “Electrical Power and Energy Systems Real-time multi-state classi fi cation of short-term voltage stability based on multivariate time series machine learning,” Electr. Power Energy Syst., vol. 108, no. December 2018, pp. 402–414, 2019, doi: 10.1016/j.ijepes.2019.01.022.

[9] Y. Tang, S. Ma, and W. Zhong, “Short-Term Large-Disturbance Voltage Stability,” Int. Conf. Power Syst. Technol., 2006.

[10] A. Gómez, A. Conejo, and C. Cañizares, Electric Energy Systems Analysis and Operation. 2009.

[11] Y. Wang, Y. Sun, and S. Mei, “Modeling of short-term large-disturbance voltage stability considering induction motors,” 2012 IEEE Innov. Smart Grid Technol. - Asia, ISGT Asia 2012, pp. 1–4, 2012, doi: 10.1109/ISGT-Asia.2012.6303089.

[12] J. E. Candelo, G. Caicedo, and F. Castro, “Métodos para el estudio de la estabilidad de voltaje en sistemas de potencia,” Inf. Tecnol., vol. 19, no. 5, pp. 97–110, 2008, doi: 10.1612/inf.tecnol.3963it.07.

[13] J. F. Baalbergen, M. Gibescu, and L. Van Der Sluis, Coordinated agent-based control for online voltage instability prevention, vol. 24, no. 11. 2014.

[14] Z. Yue, “Power System Loads and Power System Stability,” Manchester, 2019.

[15] C. Lin, S. Member, J. N. Jiang, S. Member, and C. Y. Tang, “A Study on the Impact of Control on PV Curve Associated with Doubly Fed Induction Generators,” pp. 1–7, 2011.

[16] Z. Jingchao, Y. Anhe, C. Zhuoya, and G. Kun, “Dynamic synthesis load modeling approach based on load survey and load curves analysis,” 3rd Int. Conf. Deregul. Restruct. Power Technol. DRPT 2008, no. April, pp. 1067–1071, 2008, doi: 10.1109/DRPT.2008.4523565.

[17] J. V Milanović et al., Modelling and Aggregation of Loads in Flexible Power Networks (566), no. February. 2014.

[18] J. L. A. Ieee, S. Member, M. B. B. Ieee, S. Member, M. C. Beroqui, and A. Tests, “Voltage Depending Load Models . Validation by Voltage Step Tests,” no. 1, pp. 2–7, 2006.

[19] A. Dukpa, B. Venkatesh, and M. El-hawary, “Application of continuation power flow method in radial distribution systems,” vol. 79, pp. 1503–1510, 2009, doi: 10.1016/j.epsr.2009.05.003.

[20] V. Ajjarapu and C. Christy, “The continuation power flow: A tool for steady state voltage stability analysis,” IEEE Trans. Power Syst., vol. 7, no. 1, pp. 416–423, 1992, doi: 10.1109/59.141737.

[21] V. A. N, “A Faster Continuation Power Flow in Rectangular Coordinates for Voltage Stability Assessment.”

[22] N. Fnaiech, “Voltage Stability Analysis In Power System Using Continuation Method and Voltage Stability Analysis In Power System Using Continuation Method and PSAT Software,” no. April, 2015.

[23] S. S. Pande, “Static Voltage Stability Analysis of Large Bus Power System,” 2019 3rd Int. Conf. Comput. Methodol. Commun., no. Iccmc, pp. 167–171, 2019.

[24] R. J. Wamser and I. W. Slutsker, “Power Flow Solution By the Newton-Raphson Method in Transient Stability Studies.,” IEEE Trans. power Appar. Syst., vol. PAS-103, no. 8, pp. 2299–2306, 1984, doi: 10.1109/tpas.1984.318546.

[25] M. Abokrisha, A. Diaa, A. Selim, and S. Kamel, “Development of Newton-Raphson Power-flow Method Based on Second Order Multiplier,” no. December, pp. 19–21, 2017.

[26] S. K. Jain, C. Ameta, and G. Narayanan, “Real-time Simulation of IEEE 3-Generator 9-Bus System on Miniature Full Spectrum Simulator,” pp. 246–251, 2017.
How to Cite
Barrera-Singaña, C., & Tirira Chulde, R. (2022). Long-Term Voltage Stability Using Load Models In Electric Power Systems. ITECKNE, 19(1), 15-25. https://doi.org/https://doi.org/10.15332/iteckne.v19i1.2545
Research and Innovation Articles