Analysis of the Load Flow Problem in Power System Planning Studies

Olukayode A. Afolabi, Warsame H. Ali, Penrose Cofie, John Fuller, Pamela Obiomon, Emmanuel S. Kolawole

Department of Electrical and Computer Engineering, Prairie View A&M University, Prairie View, USA.

DOI: 10.4236/epe.2015.710048                

Abstract

Load flow is an important tool used by power engineers for planning, to determine the best operation for a power system and exchange of power between utility companies. In order to have an efficient operating power system, it is necessary to determine which method is suitable and efficient for the system’s load flow analysis. A power flow analysis method may take a long time and therefore prevent achieving an accurate result to a power flow solution because of continuous changes in power demand and generations. This paper presents analysis of the load flow problem in power system planning studies. The numerical methods: Gauss-Seidel, Newton-Raphson and Fast Decoupled methods were compared for a power flow analysis solution. Simulation is carried out using Matlab for test cases of IEEE 9-Bus, IEEE 30-Bus and IEEE 57-Bus system. The simulation results were compared for number of iteration, computational time, tolerance value and convergence. The compared results show that Newton-Raphson is the most reliable method because it has the least number of iteration and converges faster.

Keywords

Load Flow, Bus, Gauss-Seidel, Newton-Raphson, Fast Decoupled, Voltage Magnitude, Voltage Angle, Active Power, Reactive Power, Iteration, Convergence

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Mageshvaran, R., Raglend, I.J., Yuvaraj, V., Rizwankhan, P.G., Vijayakumar, T. and Sudheera (2008) Implementation of Non-Traditional Optimization Techniques (PSO, CPSO, HDE) for the Optimal Load Flow Solution. TENCON2008-2008 IEEE Region 10 Conference, 19-21 November 2008.
[2]	Elgerd, O.L. (2012) Electric Energy Systems Theory: An Introduction. 2nd Edition, Mc-Graw-Hill.
[3]	Kothari, I.J. and Nagrath, D.P. (2007) Modern Power System Analysis. 3rd Edition, New York.
[4]	Keyhani, A., Abur, A. and Hao, S. (1989) Evaluation of Power Flow Techniques for Personal Computers. IEEE Transactions on Power Systems, 4, 817-826.
[5]	Hale, H.W. and Goodrich, R.W. (1959) Digital Computation or Power Flow—Some New Aspects. Power Apparatus and Systems, Part III. Transactions of the American Institute of Electrical Engineers, 78, 919-923.
[6]	Sato, N. and Tinney, W.F. (1963) Techniques for Exploiting the Sparsity or the Network Admittance Matrix. IEEE Transactions on Power Apparatus and Systems, 82, 944-950.
[7]	Aroop, B., Satyajit, B. and Sanjib, H. (2014) Power Flow Analysis on IEEE 57 bus System Using Mathlab. International Journal of Engineering Research & Technology (IJERT), 3.
[8]	Milano, F. (2009) Continuous Newton’s Method for Power Flow Analysis. IEEE Transactions on Power Systems, 24, 50-57.
[9]	Grainger, J.J. and Stevenson, W.D. (1994) Power System Analysis. McGraw-Hill, New York.
[10]	Tinney, W.F. and Hart, C.E. (1967) Power Flow Solution by Newton’s Method. IEEE Transactions on Power Apparatus and Systems, PAS-86, 1449-1460.
[11]	Bhakti, N. and Rajani, N. (2014) Steady State Analysis of IEEE-6 Bus System Using PSAT Power Tool Box. International Journal of Engineering Science and Innovation Technology (IJESIT), 3.
[12]	Hadi, S. (2010) Power System Analysis. 3rd Edition, PSA Publishing, North York.
[13]	Kabisama, H.W. Electrical Power Engineering. McGraw-Hill, New York.
[14]	Gilbert, G.M., Bouchard, D.E. and Chikhani, A.Y. (1998) A Comparison of Load Flow Analysis Using Dist Flow, Gauss-Seidel, and Optimal Load Flow Algorithms. Proceedings of the IEEE Canadian Conference on Electrical and Computer Engineering, Waterloo, Ontario, 24-28 May 1998, 850-853.
[15]	Glover, J.D. and Sarma, M.S. (2002) Power System Analysis and Design. 3rd Edition, Brooks/Cole, Pacific Grove.
[16]	Stott, B. and Alsac, O. (1974) Fast Decoupled Load Flow. IEEE Transactions on Power Apparatus and Systems, PAS-93, 859-869.
[17]	Stott, B. (1974) Review of Load-Flow Calculation Methods. Proceedings of the IEEE, 62, 916-929.
[18]	Adejumobi, I.A., et al. (2014) Numerical Methods in Load Flow Analysis: An Application to Nigeria Grid System. International Journal of Electrical and Electronics Engineering (IJEEE), 3.