Newton-Raphson State Estimation Solution Employing Systematically Constructed Jacobian Matrix

Newton-Raphson State Estimation method using bus admittance matrix remains as an efficient and most popular method to estimate the state variables. Elements of Jacobian matrix are computed from standard expressions which lack physical significance. In this paper, elements of the state estimation Jacobian matrix are obtained considering the power flow measurements in the network elements. These elements are processed one-by-one and the Jacobian matrix H is updated suitably in a simple manner. The constructed Jacobian matrix H is integrated with Weight Least Square method to estimate the state variables. The suggested procedure is successfully tested on IEEE standard systems.




References:
[1] A. Monticelli, "Electric Power System State Estimation", Proc. IEEE, Vol.
88, pp. 262-282, Feb. 2002.
[2] A. Bose and K. A. Clements, "Real-time Modeling of Power Networks",
Proc. IEEE, Vol. 75, pp. 1607-1622, Dec. 1987.
[3] F. F. Wu, "Power System State Estimation: Survey", International Journal
Elect. Power Eng. System, Vol. 12, pp. 80-87, Jan. 1990.
[4] Holten, L.; Gjelsvik, A.; Aam, S.; Wu, F.F.; Liu, W.-H.E, "Comparison of
different methods for state estimation", IEEE Trans on Power System, Vol.
3, No 4, pp. 1798 - 1806, 1988
[5] M. B. Coutto, A. M. L. Silva, and D. M. Falcão, "Bibliography on power
system state estimation (1968-1989)," IEEE Trans.Power Syst., vol. 7, pp.
950-961, Aug. 1990.
[6] Ali Abur and Antonio Gomez Exposito, Power System Estimation:
Theory and Implementation, Marcel Dekker, Inc., 2004.
[7] A. Monticelli, State Estimation in Electric Power Systems. A Generalized
Approach, Kluwer Academic Publishers, 1999.
[8] John J. Grainger and William D. Stevenson, Jr., Power System Analysis,
McGraw-Hill International Editions, 1994.
[9] Stagg,G.W. and El-Abiad,A.H., eds. 1968, Computer Methods in Power
System Analysis, McGraw-Hill Book Company, New York.
[10] Nursyarizal Mohd Nor and Ramiah Jegatheesan, "Application of Burg-s
Algorithm in State Estimation", in Proc. The Fourth IASTED Asian
Conference on Power and Energy Systems (AsiaPES 2008), pp. 154-159.