A New and Efficient Nonlinear Solver for Load Flow Problems
Load Flow (LF) analysis is a fundamental and significant issue in electric power systems. Because of the nonlinearity of the power mismatch equations, the accuracy of the nonlinear solvers is important. In this study, a novel and efficient nonlinear solver is proposed with active applications to LF problems. The formulation of the Proposed Method (PM) and its workflow and mathematical modeling for its application in LF problems have been discussed. The performance of the PM has been validated on the IEEE 14-bus and 30-bus test systems against several existing methods. The simulation results show that the PM exhibits higher order accuracy, faster convergence characteristics, smaller number of iterations, and lesser computation times in comparison with the other benchmark methods.
Keywords:electric power system, load flow, Gauss-Seidel, Newton-Raphson, fast decouple, power perturb, efficient method
H. A. Abro, M. M. Shaikh, “A new time-efficient and convergent nonlinear solver”, Applied Mathematics and Computation, Vol. 355, pp. 516-536, 2019 DOI: https://doi.org/10.1016/j.amc.2019.03.012
F. L. Alvarado, “Bifurcations in nonlinear systems-computational issues”, IEEE International Symposium on Circuits and Systems, pp. 922-925 ,1990
M. M. Shaikh, S. U. R. Massan, A. I. Wagan, “A new explicit approximation to Colebrook’s friction factor in rough pipes under highly turbulent cases”, International Journal of Heat and Mass Transfer, Vol. 88, No. 3, pp. 538-543, 2015 DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2015.05.006
M. M. Shaikh, S. U. R. Massan, A. I. Wagan, “A sixteen decimal places’ accurate Darcy friction factor database using non-linear Colebrook’s equation with a million nodes: a way forward to the soft computing techniques”, Data in Brief, Vol. 27, Article ID 104733, 2019 DOI: https://doi.org/10.1016/j.dib.2019.104733
B. Stott, “Review of load-flow calculation methods”, Proceedings of the IEEE, Vol. 62, pp. 916–929, 1974 DOI: https://doi.org/10.1109/PROC.1974.9544
V. Ajjarapu, Computational techniques for voltage stability assessment and control, Springer, 2010
P. Kundur, Power system stability and control, McGraw-Hill, 1993
V. Bhan, A. A. Hashmani, M. M. Shaikh, “A new computing perturb-and-observe-type algorithm for MPPT in solar photovoltaic systems and evaluation of its performance against other variants by experimental validation”, Scientia Iranica, Vol. 26, pp. 3656-3671, 2019
N. E. Akpeke, C. M. Muriithi, C. Mwaniki, “Contribution of FACTS devices to the transient stability improvement of a power system integrated with a PMSG-based wind turbine”, Engineering, Technology & Applied Science Research, Vol. 9, No. 6, pp. 4893-4900, 2019 DOI: https://doi.org/10.48084/etasr.3090
Z. A. Shahani, A. A. Hashmani, M. M. Shaikh, “Steady state stability analysis and improvement using eigenvalues and PSS”, Engineering, Technology & Applied Science Research, Vol. 10, No. 1, pp. 5301-5306, 2020 DOI: https://doi.org/10.48084/etasr.3318
O. Kahouli, B. Ashammari, K. Sebaa, M. Djebali, H. H. Abdallah, “Type-2 fuzzy logic controller based PSS for large scale power systems stability”, Engineering, Technology & Applied Science Research, Vol. 8, No. 5, pp. 3380-3386, 2018 DOI: https://doi.org/10.48084/etasr.2234
G. Shahgholian, A. Fattollahi, “Improving power system stability using transfer function: A comparative analysis”, Engineering, Technology & Applied Science Research, Vol. 7, No. 5, pp. 1946-1952, 2017 DOI: https://doi.org/10.48084/etasr.1341
D. V. Ngo, K. V. Pham, D. D. Le, K. H. Le, K. V. Huynh, “Assessing power system stability following load changes and considering uncertainty”, Engineering, Technology & Applied Science Research, Vol. 8, No. 2, pp. 2758-2763, 2018 DOI: https://doi.org/10.48084/etasr.1892
S. Mallick, D. V. Rajan, S. S. Thakur, P. Acharjee, S. P. Ghoshal, “Development of a new algorithm for power flow analysis”, International Journal of Electrical Power & Energy Systems, Vol. 33, No. 8, pp. 1479–88, 2011 DOI: https://doi.org/10.1016/j.ijepes.2011.06.030
M. Ebeed, S. Kamel, F. Jurado, “Determination of IPFC operating constraints in power flow analysis”, Electrical Power & Energy Systems, Vol. 81, pp. 299–307, 2016 DOI: https://doi.org/10.1016/j.ijepes.2016.02.044
W. F. Tinney, C. E. Hart, “Power flow solution by Newton’s method”, IEEE Transactions on Power Apparatus and Systems, Vol. PAS-86, No. 11, pp. 1449–60, 1967 DOI: https://doi.org/10.1109/TPAS.1967.291823
M. Tostado, S. Kamel, F. Jurado, “Developed Newton-Raphson based predictor-corrector load flow approach with high convergence rate”, International Journal of Electrical Power & Energy Systems, Vol. 105, pp. 785-792, 2019 DOI: https://doi.org/10.1016/j.ijepes.2018.09.021
H.Saadat, Power System Analysis, Pearson, 2011
University of Washington, Power systems test case archive, available at: https://labs.ece.uw.edu/pstca/
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