LEAST‐TRIMMED‐ABSOLUTE‐VALUE STATE ESTIMATOR

Estimation algorithms such as least‐absolute value (LAV) and least‐mean‐square (LMS), least‐median‐of‐squares (LMedS), least measurement rejection (LMR), and maximum‐exponential‐square (MES)are able to suppress bad data without any extra bad data detection and identification loop, and at the same time they are computationally fast. The main objective of the chapter is to introduce a new robust estimator known as least‐trimmed‐absolute‐value estimator. The algorithm evolves from the two estimators, LAV and least‐trimmed‐square (LTS), and benefits the merits of both. It can detect and eliminate both single and multiple bad data more efficiently. Numerical experiments are conducted on 6‐bus system and IEEE 14‐bus system first, then these two systems, plus IEEE 30‐bus system, are used to conduct AC estimation. MATLAB is used as the implementation platform.