L-index based contingency filtering for voltage stability constrained reactive power planning

One of the most important objectives in reactive power planning (RPP) is maintaining required voltagestability margin under normal and single-contingency situations. For this, an optimization problem must be formulatedconsidering N-1 contingencies constrained for a set of predetermined contingencies. Traditionally, all these contingenciesmust simultaneously be addressed in the optimization problem. This can dramatically increase the problem dimensionand decrease the convergence ability of its solution for large scale applications. This paper uses an L-index basedcontingency filtering strategy to select a small number of contingencies to be addressed in RPP problem. For this, thepredetermined set of all contingencies is divided into some subsets wherein each subset of contingencies affects an especialpart of power system. Then, only the worst contingency from each subset is selected and addressed in RPP problem sothat the allocated VAr sources can cover all of contingencies. This method reduces the problem dimension and improvesconvergence ability of its solution for large scale applications, whilst the obtained results are similar to the ones takenfrom enumeration method of N-1 contingencies. The implemented simulations on the IEEE 39 and 118-bus test systemsverify the capability of the proposed method.

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Zhang W, Li F, Tolbert LM. Review of reactive power planning: objectives, constraints, and algorithms. IEEE T Power Syst 2007; 22: 2177-2186.
Ajjarapu V, Lau PL, Battula S. An optimal reactive power planning strategy against voltage collapse. IEEE T Power Syst 1994; 9: 906-917.
El-Dib AA, Youssef HK, El-Metwally MM, Osman Z. Optimum VAR sizing and allocation using particle swarm optimization. Electr Pow Syst Res 2007; 77: 965-972.
Chattopadhyay D, Chakrabarti BB. Voltage stability constrained Var planning: Model simplification using statistical approximation. Int J Elec Power 2001; 23: 349-58.
Thukaram D, Lomi A. Selection of static VAR compensator location and size for system voltage stability improvement. Electr Pow Syst Res 2000; 54: 139-150.
Cova B, Losignore N, Marannino P, Montagna M. Contingency constrained optimal reactive power flow procedures for voltage control in planning and operation. IEEE T Power Syst 1995; 10: 602-608.
Chattopadhyay D, Chakrabarti BB. Reactive power planning incorporating voltage stability. Int J Elec Power 2002; 24: 185-200.
Chakrabarti BB, Chattopadhyay D, Krumble C. Voltage stability constrained Var planning-a case study for New Zealand. In: Power Engineering, Large Engineering Systems Conference; 2001; Halifax, Canada: IEEE. pp. 86-91.
Yousefi GR, Seifi H, Sepasian MS, Haghighat H, Riahi R, Hosseini H, Kazerouni AK, Mohseni E, Akhavan A. A new reactive power planning procedure for Iranian Power Grid. Electr Pow Syst Res 2004; 72: 225-234.
Krishnan V, Liu H, McCalley JD. Coordinated reactive power planning against power system voltage instability. In: Power Systems Conference and Exposition (PSCE); May 2009; IEEE. pp. 1-8).
Wang Y, Li F, Wan Q, Chen H. Reactive power planning based on fuzzy clustering, gray code, and simulated annealing. IEEE T Power Syst 2011; 26: 2246-2255.
Zhang W, Li F, Tolbert LM. Interpolation approximation of voltage stability constrained opf (vscopf) for reactive power planning. Int T Electr. Energy 2011; 21: 155-164.
Capitanescu F, Glavic M, Ernst D, Wehenkel L. Contingency filtering techniques for preventive security-constrained optimal power flow. IEEE T Power Syst 2007; 22: 1690-1697.
Capitanescu F, Ramos JM, Panciatici P, Kirschen D, Marcolini AM, Platbrood L, Wehenkel L. State-of-the-art, challenges, and future trends in security constrained optimal power flow. Electr Pow Syst Res 2011; 81: 1731-1741.
Capitanescu F, Wehenkel L. A new iterative approach to the corrective security-constrained optimal power flow problem. IEEE T Power Syst 2008; 23: 1533-1541.
Platbrood L, Capitanescu F, Merckx C, Crisciu H, Wehenkel L. A generic approach for solving nonlinear-discrete security-constrained optimal power flow problems in large-scale systems. IEEE T Power Syst 2014; 29: 1194-1203.
Marano-Marcolini A, Capitanescu F, Martinez-Ramos JL, Wehenkel L. Exploiting the use of DC SCOPF approximation to improve iterative AC SCOPF algorithms. IEEE T Power Syst 2012; 27: 1459-1466.
Capitanescu F. Assessing reactive power reserves with respect to operating constraints and voltage stability. IEEE T Power Syst 2011; 26: 2224-2234.
Jiang Q, Xu K. A novel iterative contingency filtering approach to corrective security-constrained optimal power flow. IEEE T Power Syst 2014; 29: 1099-1109.
Karoui K, Crisciu H, Szekut A, Stubbe M. Large scale security constrained optimal power flow. In: 16th Power System Computation Conference; 2018; Glasgow, Scotland. pp. 14-18.
Zhang M, Guo Q, Sun H, Zhang B. A sensitivity based simplified model for security constrained optimal power flow. In: Innovative smart grid technologies-asia (ISGT Asia); May 2012: IEEE. pp. 1-4.
Milosevic B, Begovic M. Voltage-stability protection and control using a wide-area network of phasor measurements. IEEE T Power Syst 2003; 18: 121-127.
Lof PA, Smed T, Andersson G, Hill DJ. Fast calculation of a voltage stability index. IEEE T Power Syst 1992; 7: 54-64.
Hong-Zhong L, Hao-Zhong C, Zheng Y. A novel reactive power planning method based on improved particle swarm optimization with static voltage stability. Int T Electr Energy 2010; 20: 1129-1137.
Gao B, Morison GK, Kundur P. Voltage stability evaluation using modal analysis. IEEE T Power Syst 1992; 7: 1529-1542.
Kessel P, Glavitsch H. Estimating the voltage stability of a power system. IEEE T Power Deliver 1986; 1: 346-354.
Zhang W, Liu Y. Multi-objective reactive power and voltage control based on fuzzy optimization strategy and fuzzy adaptive particle swarm. Int J Elec Power 2008; 30: 525-532.
Amjady N, Esmaili M. Application of a new sensitivity analysis framework for voltage contingency ranking. IEEE T Power Syst 2005; 20: 973-983.
Flueck AJ, Gonella R, Dondeti JR. A new power sensitivity method of ranking branch outage contingencies for voltage collapse. IEEE T Power Syst 2002; 17: 265-270.
Li F, Pilgrim JD, Dabeedin C, Chebbo A, Aggarwal RK. Genetic algorithms for optimal reactive power compensation on the national grid system. IEEE T Power Syst 2005; 20: 493-500