Capacitance Calculation Model in Corona Discharge Case

Abstract

The (I-V) characteristic pattern of the corona discharge case is very different from the pattern of ordinary electric circuits, so it is interesting to investigate. Several previous studies involved the concept of Maxwell's equations on several physical case models such as coaxial cylinder, electrohydrodynamic, and the electric wind. In this study, we use a capacitance calculation model for positive dc corona discharge in air, especially in calculating the (I-V) current-voltage characteristics of an electrode configuration model, often referred to as capacitively coupled plasma (CCP). The configuration model comprises active and passive electrodes, with the active electrode in the form of a pentagonal with the sharp end (in the middle) facing downwards in an upright position. The passive electrode under the active electrode has a large rectangular shape in a lying place. This configuration model is named The Chisel Eye and Midpoint-Plane (CEM-P). The analytical calculation of the (I-V) characteristics uses the geometric properties of the active electrode, which will produce a large corona current flow at the pointed electrode. These properties in analytical calculation manifest with the emergence of the corona flow multiplication factor at the sharp active electrode’s integration boundary condition called the shape sharpness factor k. The Python GUI Programming simulation program makes graphic simulations, Standard Deviation (SD), t-tests, and calculating the factor k (fitting curve value) between numerical calculations and research data. The values of the SD, the t-tests, and the Percentage of tangent points meet the requirements for a high level of accuracy for the four CEM-P configuration models of the (I-V) characteristics simulation graph with the graph has a relatively large percentage of tangent points values (82.35% – 94.44%).

Modified Capacitance Model in the Corona Plasma Discharge

“…For the case of corona discharge, equation ( 9) needs to add the multiplication factor of the corona current, which is entered manually in the integration result of the pointed form of the active electrode area in the modified capacitance formulation. This factor is the k current multiplier number (Wardaya et al, 2022).…”

“…According to physical reasoning, the greater the k value, the greater the plasma flow. The greater the plasma flow is characterized by, the sharper the shape of the active electrode (Dobranszky et al, 2008), so the value of k is also sometimes referred to as the form sharpness factor of the active electrode (Wardaya et al, 2022) in the case of a positive corona discharge.…”

“…Electric Current Formulation The total value of the electric current that comes out of the electrode system with a sharp crown-plane configuration for the case of corona plasma discharge through the concept of electrode geometric calculations is (Wardaya et al, 2022)…”