Investigation and Control of Unstable Chaotic Behavior Using of Chaos Theory in Electrical Power Systems

This paper consists of two sections: control and stabilizing method for chaotic behaviour of converter is introduced in first section of this paper for the removal of harmonics caused by the chaotic behaviour in current converter. For this work, a TimeDelayed Feedback Controller (TDFC) control method for stability chaotic behaviour of buck converter for switching courses in current control mode is presented. This behaviour is demonstrated by presenting a piecewise linear discrete map for this converter and then combining the feedback equation to obtain the overall equation of the converter. A simple time-delay feedback control method is applied to stabilize the Unstable Periodic Orbits (UPOs). In second section the effect of a parallel Metal Oxide Arrester (MOV) on the ferroresonance oscillations of the transformer is studied. It is expected that the arresters generally cause ferroresonance drop out. Simulation has been done on a three phase power transformer with one open phase. Effect of varying input voltage has been studied. The simulation results reveal that connecting the arrester to the transformer poles, exhibits a great mitigating effect on ferroresonant over voltages. Phase plane along with bifurcation diagrams are also presented. Significant effect on the onset of chaos, the range of parameter values that may lead to chaos and magnitude of ferroresonant voltages has been obtained, shown and tabulated.