Comparison of different methods for state estimation

Journal Article · Tue Nov 01 04:00:00 UTC 1988 · IEEE Trans. Power Syst.; (United States)

DOI:https://doi.org/10.1109/59.192998· OSTI ID:6568482

Holten, L ^[1]; Gjelsvik, A; Aam, S ^[2]; Wu, F F; Liu, W H.E. ^[3]

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1. Norwegian State Power Board, (Statkraft) Oslo (NO)
2. The Norwegian Research Institute of Electricity Supply (EFI) N-7034 Trondheim (NO)
3. Univ. of California, Berkeley, CA (US)

Ill-conditioning in the gain matrix of the classical normal-equations-approach for state estimation has created numerical stability problem for large systems. Several methods have been proposed to circumvent the problem. A comparative study of five methods, (1) normal equations method, (2) orthogonal transformation method, (3) hybrid method, (4) normal equations with constraints, and (5) Hachtel's augmented matrix method for state estimation has been conducted. The comparison is made in terms of their (i) numerical stability, (ii) computational efficiency, and (iii) implementation complexity. A theoretical analysis indicates that the orthogonal transformation method is numerically most stable. But the orthogonal transformation method can not be implemented in the efficient fast decoupled version. The hybrid method and Hachtel's method are both good compromises between numerical stability and computational efficiency. An experimental comparison of Hachtel's method and the hybrid method is conducted. Test results on three systems-IEEE 30-bus system, Norwegian 99-bus system, Nordel 1300-bus system are presented. Areas for further research are indicated.

• OSTI ID: 6568482
• Journal Information: IEEE Trans. Power Syst.; (United States), Journal Name: IEEE Trans. Power Syst.; (United States) Vol. 3:4; ISSN ITPSE
• Country of Publication: United States
• Language: English

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