World Journal Control Science and Engineering
ISSN (Print): ISSN Pending ISSN (Online): ISSN Pending Website: http://www.sciepub.com/journal/wjcse Editor-in-chief: Apply for this position
Open Access
Journal Browser
Go
World Journal Control Science and Engineering. 2014, 2(1), 18-24
DOI: 10.12691/wjcse-2-1-4
Open AccessArticle

Studies of Contingencies in Power Systems through a Geometric Parameterization Technique, Part I: Mathematical Modeling

Bonini Neto A.1, and Alves D. A.2

1Department of Biosystems Engineering, UNESP- São Paulo State University, Tupã, Brazil

2Department of Electrical Engineering, UNESP- São Paulo State University, Ilha Solteira, Brazil

Pub. Date: November 13, 2014

Cite this paper:
Bonini Neto A. and Alves D. A.. Studies of Contingencies in Power Systems through a Geometric Parameterization Technique, Part I: Mathematical Modeling. World Journal Control Science and Engineering. 2014; 2(1):18-24. doi: 10.12691/wjcse-2-1-4

Abstract

An electrical power system is exposed to the occurrence of a large number of contingencies. However, only some of these are severe enough to cause significant damage (collapse voltage, for example) to the system. Thus, before the voltage stability analysis, is realized the selection and ordering of contingencies according to the impact this cause to the system, reducing the computational time of the analysis. This paper presents a geometric parameterization technique for the continuation power flow which allows the tracing complete of P-V curves and the calculation of the maximum loading point (MLP) of power systems without the ill-conditioning problems of Jacobian matrix (J). This occurs before and after a contingency, i.e., this technique provides all the P-V curve of the pre and post contingency with addition of a line in the λ-V and λ-θ plans. The results obtained with the methodology to the IEEE 14 and 30 bus systems show that the characteristics of the conventional method are improved and the convergence region around the singularity is enlarged. The goal is to present the method with simplicity and easy interpretation.

Keywords:
contingency voltage instability continuation power flow maximum loading point parameterization

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]  WSCC-Reactive Power Reserve Work Group (RRWG), “Final Report: Voltage Stability Criteria, Undervoltage Load Shedding Strategy, and Reactive Power Reserve Monitoring Methodology”, 145 p. 1998.
 
[2]  FTCT-Força Tarefa Colapso de Tensão. Critérios e Metodologias Estabelecidos no âmbito da Força - Tarefa Colapso de Tensão do GTAD/SCEL/GCOI para Estudos de Estabilidade de Tensão nos Sistemas Interligados Norte/Nordeste, Sul/Sudeste e Norte/Sul Brasileiros, XV SNPTEE, GAT-10, Foz do Iguaçu, PR, 1999.
 
[3]  Mansour Y. Suggested techniques for voltage stability analysis, IEEE Power Engineering Subcommittee Report 93TH0620-5-PWR, 1993.
 
[4]  Alves D.A., da Silva L.C.P., Castro C.A., and da Costa V.F. Parameterized fast decoupled power flow methods for obtaining the maximum loading point of power systems - part-I: mathematical modeling, Electr. Power Syst. Res. 69 (2004) 93-104.
 
[5]  Cañizares C.A., Alvarado F.L. Point of collapse and continuation methods for large ac/dc systems, IEEE Trans. on Power Syst. 8 (1993) 1-8.
 
[6]  Ajjarapu, V.; Christy, C. The Continuation Power Flow: a Tool for Steady State Voltage Stability Analysis. IEEE Trans. on Power Systems, v.7, n.1, p. 416-423, 1992.
 
[7]  Chiang, H. D.; Flueck, A.; Shah, K.S.; Balu, N. CPFLOW: A Practical Tool for Tracing Power System Steady State Stationary Behavior Due to Load and Generation Variations. IEEE Trans. on Power Systems, v.10, n.2, p. 623-634, 1995.
 
[8]  Seydel, R. From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis. 2ª ed. New York: Springer-Verlag, 407p, 1994.
 
[9]  Magalhães, E. M.; Bonini Neto, A.; Alves, D. A.. A Parameterization Technique for the Continuation Power Flow Developed from the Analysis of Power Flow Curves. Mathematical Problems in Engineering, v. 2012, p. 1-24, 2012.
 
[10]  Bonini Neto, A.; Alves, D. A. Improved Geometric Parameterization Techniques for Continuation Power Flow. IET Generation, Transmission & Distribution, v. 4, p. 1349-1359, 2010.
 
[11]  IEEE Power System Stability Committee, Special Publication, Voltage Stability Assessment, Procedures and Guides, Final Draft, 1999. [Online]. Available: http://www.power.uwaterloo.ca.
 
[12]  Reactive Power Reserve Work Group. Voltage Stability Criteria, Undervoltage Load Shedding Strategy, and Reactive Power Reserve Monitoring Methodology, (1998) p. 154, Available: http://www.wecc.biz/library/Documentation Categorization Files/Guidelines (File name: Voltage Stability Criteria – Guideline, Date adopted/approved April 2010).
 
[13]  ONS Operador Nacional do Sistema Elétrico, “Procedimentos de Rede Submódulo 23.3, Diretrizes e Critérios para Estudos Elétricos”, 2002.
 
[14]  Bonini Neto, A.; Alves, D. A. An improved parameterization technique for the Continuation Power Flow. In: Transmission and Distribution Conference and Exposition, IEEE PES, 2010, New Orleans, LA, USA. p. 1-6.
 
[15]  Garbelini E., Alves D. A.; Bonini Neto, A.; Righeto, E.; Silva, L. C. P.; Castro, C. A. An Efficient Geometric Parameterization Technique for the Continuation Power Flow. Electric Power Systems Research, v. 77, p. 71-82, EUA, 2007.