Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
SIAM Journal on Optimization
International Journal of Computer Applications in Technology
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This paper describes an optimisation method for fuzzy logic-based single-phase active power filters (APFs). A two-step optimisation technique using the Nelder-Mead simplex (or Amoeba) method has been adopted for the real-time tuning of the controller. Simulations and experimental results obtained with a low cost microcontroller (SH7045) demonstrate the capability of the system to achieve fast convergence rate, power factor correction and low harmonics content.