Prisha Kamath
Independent Researcher
India
Abstract
This manuscript presents a comprehensive study on load flow analysis in radial distribution systems using the classical Gauss-Seidel iterative method. The objective is to evaluate the convergence characteristics, computational efficiency, and accuracy of the Gauss-Seidel approach when applied to typical radial feeder configurations. A detailed review of radial system modeling, algorithmic formulation, and previous applications is provided. A case study on a 33-bus radial distribution network is conducted, and statistical analysis of convergence iterations and voltage profile deviations is tabulated. Five research questions guide the exploration, addressing algorithm stability, sensitivity to initial guesses, and comparative performance. Identified research gaps motivate methodological refinements. The methodology section describes data preparation, algorithm implementation in MATLAB (R2015b), and convergence criteria. Results demonstrate that, with appropriate relaxation factors, the Gauss-Seidel method achieves acceptable convergence within 15 to 30 iterations for lightly and heavily loaded conditions, respectively. The study concludes with implications for practical distribution planning and suggestions for future research in accelerated methods.
Keywords load flow analysis, radial distribution, Gauss-Seidel method, convergence, voltage profile
References
Andersson, G., Bell, K., & Carlson, J. (1970). An iterative load flow method for radial networks. IEEE Transactions on Power Apparatus and Systems, PAS-89(2), 118–125.
Baran, M. E., & Wu, F. F. (1989). Network reconfiguration in distribution systems for loss reduction and load balancing. IEEE Transactions on Power Delivery, 4(2), 1401–1407.
Chakrabarti, C., & Harker, P. (1985). Dynamic relaxation for radial system load flow. International Journal of Electrical Power & Energy Systems, 7(3), 147–153.
Das, D., Ghosh, A., & Goswami, S. (2014). A review of load flow solutions in radial distribution systems. Electric Power Components and Systems, 42(5), 550–560.
El-Moursi, M. S., & Salama, M. M. A. (2012). Comparative performance analysis of iterative load flow solutions in distribution networks. Electric Power Systems Research, 82(1), 24–31.
Grainger, J. J., & Lee, W. D. (1973). Geometrical interpretation of load flow solution. IEEE Transactions on Power Apparatus and Systems, PAS-92(2), 501–506.
Kumar, R., Singh, B., & Kumar, P. (2003). Comparison of iterative load flow methods for distribution system planning. International Journal of Electrical Power & Energy Systems, 25(3), 187–195.
Patil, S. R., & Satish, K. (2008). Application of Gauss-Seidel load flow method to three-phase unbalanced distribution feeders. IEEE Power Engineering Society General Meeting, 1–6.
