Sachdev, M. S.2024-07-122024-07-121987-12December 1https://hdl.handle.net/10388/15798In recent years, substantial interest has been shown in the application of digital relays to the area of power system protection. A major area of research has been the design of suitable digital filters to estimate the magnitude and phase relationship of currents and voltages in an electrical power system. A variety of approaches have been proposed. The complexity the algorithms which can be implemented has been largely determined by the capabilities of available microprocessors. The continual increase in the capabilities of microprocessors has prompted the consideration of more complex algorithms. Recently research has been done with regard to the application of digital Kalman filters to power system protective relaying. This thesis investigates the use of Kalman filters to estimate voltage and current phasors from sampled data. A proposed solution has been given to the practical problem of the detection of the inception of a fault by the Kalman filter. The response of the Kalman filter is highly dependant on the use of an accurate apriori statistical description of the signal being sampled. To improve the response of the filter in the absence of an accurate statistical description, a Kalman filter which is adaptive to the statistical parameters of the sampled signal has been proposed. The performance of the proposed filter designs are evaluated using fault data acquired from Saskatchewan Power Corporation.Thesis