Optimization Of Current Magnitude Estimators Based On Marquardt-Levenberg Algorithm

Digital filtering, correlation methods, time delay methods, signal differentiation are the most commonly used methods of estimating fundamental frequency orthogonal components utilized in magnitude estimators. The foundation for designing filters used in aforementioned methods are usually demanded frequency responses or signal models with their parameters to be estimated. A weak point of both approaches is frequency-domain modelling ignoring time-domain performance of the magnitude estimators. In order to fulfil the requirements of protection with the optimum speed for many different configurations, operating conditions and construction features of power systems, it is necessaiy to develop magnitude estimator design methods aimed at modelling with respect to highspeed response with simultaneous acceptable estimation accuracy in the steady state. The article discusses the implementation of Levenberg-Marquardt algorithm to optimization of current magnitude estimators designed for power system protection with the focus on estimators used in instantaneous overcurrent relays. The paper presents details of optimizing algorithm, power system model used for acquisition of signal patterns and estimator performance analyzes.