Analytical Calculation of Static Capacitance for High-Frequency Inductors and Transformers

Analytical estimation of parasitic capacitances in high‐voltage switching transformers

“…Parasitic capacitances can be classified as three different types for every high‐voltage transformer [1, 13, 18–20]. These capacitances are listed as below: C stray : this capacitance is made by a number of two fundamental capacitances named C tt (turn‐to‐turn capacitance), and C tc (turn‐to‐core capacitance). C ij : the capacitance between the i th layer and the j th layer in a winding. C p i : the capacitance between primary and each layer of the secondary in multi‐layer windings. Analysis and calculation of parasitic capacitances have been the subject of many studies [1–5, 9, 12, 13, 17–25]. To avoid electrical discharge, high voltage, and a large number of low‐voltage transformers have a bobbin to make insulation between windings and their magnetic core.…”

“…High‐voltage technology is being increasingly used in a variety of applications such as medical imaging, particle accelerators, and radar transmitters in the last few decades [1–7]. For these applications, the high voltage is usually made by converting the voltage of a single‐phase or three‐phase line power to a voltage of thousands of volts using a high‐voltage converter (Fig.…”

An Improved Calculation Method for Static Capacitance in Inductor Windings

“…In order to solve the problems above, the circular integral path shown in Figure 2(c) is obtained by optimizing Figure 2(b), and the elementary capacitance of air is then obtained by Equation (5). And Chagas and Marchesan [17] proposed a parabolic integral path to obtained Equation (6).…”

“…However, considering that numerical calculation has been proven computationally intensive and time-consuming, analytical methods are considered as a favorable method for acquiring parasitic capacitance. Reference [17] summarizes some analytical calculation methods of static capacitance, which can be divided into the following three categories according to the different integral paths: the radial path [18], the shortest path [19], and the parabolic path [20].…”

“…Reference [20] provides a calculation method of static capacitance, but it barely considers the coupling of electric field and energy distribution of winding. Based on the shortest integral path, [17] explores the impact of relative position between winding turns on their electric field under two stacking methods. The different winding arrangement changes the winding potential which results in disparities in the air capacitance of different stacking modes [21].…”