A Novel Chaotic Model of AC Electric Arc Furnace for Power Quality Studies

In order to estimate the adverse effects caused by arc furnace accurately, a novel chaotic model of AC electric arc furnace is presented, which is useful for power quality studies. Firstly, the static model is developed based on a piece wise linear approximation of 𝑣-𝑖 characteristic of arc furnace, the 𝑣-𝑖 characteristic is depended on the active power consumed by the load. It is useful for harmonics study. Secondly, the dynamic model is developed using a low-frequency chaotic signal to modulate the static electric arc voltage, the chaotic signal is generated via an asymmetric nonlinear Chua's circuit. It is useful for voltage fluctuation and flicker study. Simulation of the static model and dynamic model are performed in MATLAB. Through comparing the simulated results with the measurement data, it is shown that the model can accurately represent the static and dynamic behaviors of arc furnace. The developed model is valid and easy to use, which will promote the precaution measures studies of power quality problems.