Static and tracking state estimation in power system using newton's method

Journal Article · Mon Jan 01 04:00:00 EST 1990 · Electric Machines and Power System; (USA)

DOI:https://doi.org/10.1080/07313569008909456· OSTI ID:6621875

Tripathy, S C; Chauhan, D S; Prasad, G D ^[1]

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1. Indian Inst. of Tech., New Delhi (India). Centre of Energy Studies

This paper describes the Newton method for state estimation in electric power systems using the weighted least square approach (WLS). The information matrix that approximates the Hessian matrix in the WLS estimator is updated using the Brown-Dennis technique such that the linear convergence of the WLS algorithm is improved to nearly second order convergence of the Newton method. This proposed method is particularly effective in state estimation of ill-conditioned power systems which encounter difficulties in converging to the solution. The additional computing time for implementing the new algorithm is quite small as the nonzero elements of the hessian matrix are not re-computed but are extracted from the Jacobian stored in the computer memory. However, there is a slight increase in the storage requirement. Digital computer results are presented for both the static and tracking state.

• OSTI ID: 6621875
• Journal Information: Electric Machines and Power System; (USA), Journal Name: Electric Machines and Power System; (USA) Vol. 18:2; ISSN 0731-356X; ISSN EMPSD
• Country of Publication: United States
• Language: English

Related Subjects

24 POWER TRANSMISSION AND DISTRIBUTION
240100* -- Power Systems-- (1990-)
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ALGORITHMS
COMPUTER CALCULATIONS
COMPUTERS
DIGITAL COMPUTERS
ENERGY SYSTEMS
ITERATIVE METHODS
LEAST SQUARE FIT
MATHEMATICAL LOGIC
MAXIMUM-LIKELIHOOD FIT
NEWTON METHOD
NUMERICAL SOLUTION
PERFORMANCE TESTING
POWER SYSTEMS
TESTING