Shahriari, A. and Mokhlis, Hazlie and Bakar, A.H.A. and Karimi, M. and Laghari, J.A. and Kazeminezad, M. (2012) The calculation of low voltage solution based on state space search method in illconditioned system. In: 2012 IEEE International Power Engineering and Optimization Conference, PEOCO 2012, 2012, Melaka.

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Abstract
This paper implements the State Space Search Method (SSSM) in polar coordinate form to calculate low voltage solution and Maximum Loading Point of system in ill conditioned system. SSSM modifies the direction of state variable (buses voltage and phase) by using optimal multiplier in order to converge load flow equations in ill conditioned system. The privilege of SSSM emerges in the keeping dimension of load flow jacobian matrix constant. While another method such as continuation and homotopy methods change the framework of jacobian matrix based on predictor and corrector in term of increasing load demand. Indeed, the calculation process of SSSM is based on standard Newton Raphson load flow method. The validation of SSSM is shown by the testing IEEE test systems of 14 and 30 in well and maximum loading point as illconditioned systems.
Item Type:  Conference or Workshop Item (Paper) 

Funders:  UNSPECIFIED 
Additional Information:  Conference code: 91838 Export Date: 17 April 2013 Source: Scopus Art. No.: 6230836 :doi 10.1109/PEOCO.2012.6230836 Language of Original Document: English Correspondence Address: Shahriari, A. References: Stott, B., Review of loadflow calculation methods (1974) Proc. IEEE, 62 (1), pp. 916929. , July; Wang, Y., Da Silva, L.C.P., Xu, W., Investigation of the relationship between illconditioned power flow and voltage collapse (2000) IEEE Power Engineering Review, 20 (4), pp. 4345. , July; Wu, F.F., Theoretical Study of the Convergence of the Fast Decoupled Load Flow (1977) IEEE Trans. Power Syst, 96 (2). , January; Tamura, Y., Mori, H., Iwamoto, S., Relationship between Voltage Instability and Multiple Load Flow Solutions in Electric Power Systems (1983) IEEE Trans. Power App.Syst., 102 (5), pp. 11151125. , May; De Souza, A.Z., CaÃ±izares, C.A., Quintana, V.H., New Techniques to Speed Up Voltage Collapse Computations Using Tangent Vector (1997) IEEE Trans. Power Syst, 12 (3), pp. 13801387. , August; Xie, N., Bompard, E., Napoli, R., Torelli, F., Widely convergent method for finding solutions of simultaneous nonlinear equations (2012) Electric Power Systems Research Journal, 83 (1), pp. 1266. , February; Guedes, R.B.L., Alberto, L.F.C., Bretas, N.G., Power system lowvoltage solutions using an auxiliary gradient system for voltage collapse purposes (2005) IEEE Trans. Power Syst, 20 (3), pp. 15281537. , August; Milano, F., Continuous Newton's Method for Power Flow analysis (2009) IEEE Trans. Power Syst, 24 (1), pp. 5057. , February; Shahriari, A., Bakar, A.H.A., Mokhlis, H., Comparative studies on NonDivergent Load flow methods in well, ill and unsolvable condition IEEE Conference Power System Technology (POWERCON), 2010; Li, S.H., Chiang, H.D., Continuation Power Flow with Nonlinear Power Injection Variations: A Piecewise Linear Approximation (2008) IEEE Trans. Power Syst, 23 (4), pp. 16371643. , November; Chen, Y., Shen, C., A Jacobianfree MewtonGMRES(m) method with adaptive preconditioner and its application for power flow calculations (2006) IEEE Trans. Power Syst., 21 (3), pp. 10961103. , August; Yorino, N., Li, H.Q., Sasaki, H., A predictor/corrector scheme for obtaining Qlimit points for power flow studies (2005) IEEE Trans. Power Syst, 20 (2), pp. 130137. , F, February; Iwamoto, S., Tamura, Y., A load flow calculation method for ill conditioned power systems (1981) IEEE Trans. Power App. Syst., 100 (3), pp. 17361743. , April; Iba, K., Suzuki, H., Egawa, M., Watanabe, T., A method for finding a pair of multiple load flow solutions in bulk power systems (1990) IEEE Trans. Power Syst., 5 (2), pp. 582591. , May; Overbye, T.J., Klump, R.P., Effective calculation of power system low voltage solutions (1996) IEEE Trans. Power Syst., 11 (1), pp. 7582. , February; Schaffer, M.D., Tylavsky, D.J., A nondiverging polar form Newtonbased power flow (1988) IEEE Trans. Ind. App., 24 (1), pp. 870877. , September/October; Braz, L.M.C., Castro, C.A., Murari, C.A.F., A critical evaluation of step size optimization based load flow methods (2000) IEEE Trans. Power Syst., 15 (1), pp. 202207. , February; Tate, J.E., Overbye, T.J., A comparison of the optimal multiplier in polar and rectangular coordinates (2005) IEEE Trans. Power Syst., 20 (4), pp. 16671674. , November; Huang, W.T., Yao, K.C., New network sensitivitybased approach for real time complex power flow calculation (2012) IET Generation, Transmission & Distribution, 6 (2), pp. 109112; www.ee.washington.edu/research/pstca, AvailableUR  http://www.scopus.com/inward/record.url?eid=2s2.084864972546&partnerID=40&md5=1c63007056f915d013ee2483d1309845 
Uncontrolled Keywords:  Ill conditioned system; Low voltage solution; Maximum loading point; Optimal multiplier; State space search method; Illconditioned systems; Low voltage solutions; Maximum loading points; State space search; Current voltage characteristics; Jacobian matrices; Optimization; Voltage control 
Subjects:  T Technology > TA Engineering (General). Civil engineering (General) T Technology > TK Electrical engineering. Electronics Nuclear engineering 
Divisions:  Faculty of Engineering 
Depositing User:  Mr Jenal S 
Date Deposited:  11 Jul 2013 05:11 
Last Modified:  09 Oct 2019 08:48 
URI:  http://eprints.um.edu.my/id/eprint/7808 
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