Developing harmonic analysis algorithms in electrical power systems

In Electrical Power Systems, a rapid and accurate estimation of harmonic components in terms of reducing losses and increasing the quality of energy is an important concern. In this study, a multifunctional system structure which includes fundamental frequency detection, phase angle and amplitude estimation of harmonic and inter harmonic components is developed by using ADALINE (Adaptive Linear Element) based algorithms for time varying signals. Among these algorithms, FADALINE (Fourier ADALINE) estimates only harmonic and inter harmonic components, whereas EADALINE (Extended ADALINE) estimates probable values of the fundamental frequency variances. In this study, these algorithms are analyzed mathematically and the performance of these improved algorithms is tested in simulations by applying noisy signals including variable fundamental frequency and inter harmonic components. The results of the experimental studies which are obtained by using MATLAB simulation environment demonstrate that this system is convenient and effective for the harmonic analysis of the current and voltage waveforms. In addition to the information of amplitude and phase angle values of harmonic and inter harmonic components, the results also provide information regarding in which time interval and at what ratio these components are efficient. Thus, the individual effects of this time-variant harmonic and inter harmonic components can be instantly detected in the 3D time-harmonic space, then the efficiency of the evaluation method can be increased. Moreover, the system is adaptive because its parameters can be chosen appropriate to the environment where it was integrated.