Journal
JOURNAL OF MODERN POWER SYSTEMS AND CLEAN ENERGY
Volume 10, Issue 4, Pages 871-882Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.35833/MPCE.2020.000377
Keywords
Power system bad data; quasi norm estimator; robustness; state estimation
Categories
Funding
- National Natural Science Foundation of China [51967002]
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This paper proposes an L-p (0 <1) quasi norm state estimator for power system static state estimation, which can effectively suppress bad data compared to existing L-1 and L-2 norm estimators. The robustness of the proposed estimator is discussed, and it is shown that its ability to suppress bad data increases with decreasing p. Moreover, an algorithm is suggested to solve the non-convex state estimation problem and prevent the solution from converging to a local optimum.
This paper proposes an L-p (0 <1) quasi norm state estimator for power system static state estimation. Compared with the existing L-1 and L-2 norm estimators, the proposed estimator can suppress the bad data more effectively. The robustness of the proposed estimator is discussed, and an analysis shows that its ability to suppress bad data increases as p decreases. Moreover, an algorithm is suggested to solve the non-convex state estimation problem. By introducing a relaxation factor in the mathematical model of the proposed estimator, the algorithm can prevent the solution from converging to a local optimum as much as possible. Finally, simulations on a 3-bus DC system, the IEEE 14-bus and IEEE 300-bus systems as well as a 1204-bus provincial system verify the high computation efficiency and robustness of the proposed estimator.
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