Development of a Mathematical Model for the Corona Effect: Sinusoidal and Impulsive Components and Parametric Analysis

This work presents the development of a mathe-matical model for the corona effect in high voltage systems, integrating both sinusoidal and impulsive components. The model was developed from experimental measurements performed in a corona cage at the High Voltage Laboratory of the Universidad Politécnica Salesiana in Cuenca, Ecuador. Using an alternative partial discharge detection method, the research characterized the fundamental behavior of the corona effect, including its sinusoidal base morphology and distinctive pulse patterns in positive and negative half cycles. The proposed mathematical model incorporates environmental variables such as temperature and humidity, along with applied voltage, through parametric analysis. The model parameters were determined using digital fil-tering techniques, adaptive thresholding algorithms and multiple regression analysis, resulting in a set of equations that describe both the fundamental sinusoidal component and the stochastic nature of the corona pulses.