To maintain the high reliability and stability in the large scale electric power system for a stabilized power supplying, it requires an accurate high speed digital distance relaying techniques. For this purpose, when it comes to faults with the power system, the digital distance relaying techniques must be investigated to extract the fundamental frequency component and to predict fault location. Fault voltage and current contain noise which causes many of these problems. This affects the accuracy of fault location estimation as well as the reliability of digital distance relay.In this thesis, it is presented the methodology of FFT (fast Fourier transform), which accompanied aliasing, picket-fence effect, and leakage in the process of extracting fundamental frequency component and an algorithm of extracting fundamental frequency component, using the Kaiman filter theory to improve upon these disadvantages. It is derived noise modelling from fault voltage and current to use the Kaiman filtering technique, and also got rid of noise components from the measurement values. Also a two-state and three-state Kaiman filter are considered for the symmetrical components estimation of voltages and currents respectively. It is presented an efficient digital distance relaying techniques for the purpose of extracting fundamental frequency component. Also, to confirm the validity of Kaiman filtering techniques, it is shown the experimental results obtained by using the digital simulation of power system. And, it is discussed the extracted results of fundamental frequency components by means of the Fourier transform and Kaiman filtering techniques.
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