“…The capacitances between winding turns are calculated using the approach presented in reference [5]. The turn-to-turn capacitances are calculated between adjacent turns with significant capacitive coupling using simple analytical formulas for plate and cylindrical capacitors.…”
Section: A Capacitancementioning
confidence: 99%
“…The goal is to obtain the approximation of integral: (5) in closed-form to enable calculation of L matrix on turn level in acceptable time range. Function G(φ) is equal to integral of Q(r, R, z, Z, φ) with respect to variables r, R, z, and Z.…”
Section: B Inductancementioning
confidence: 99%
“…• The function is monotonically decreasing. To get the approximation of integral (5), numerous calculations of G func [7], were performed. Then, integral value is expressed using the rational func and denominator polynomials were obtained using the least squares method is equal to zero.…”
Section: B Inductancementioning
confidence: 99%
“…To get the approximation of integral (5), numerous calculations of G function's integral, using [7], were performed. Then, integral value is expressed using the rational functions, where the coeff and denominator polynomials were obtained using the least squares method: corresponds to the coils that are close to each other.…”
Section: B Inductancementioning
confidence: 99%
“…There can be over thousands of turns in transformer windings, so methods that enable fast calculation are used. Capacitances are calculated using the analytical formulas and correction factors based on numerous 2D FEM calculations [5]. The inductances are calculated using the semi-analytical approach, based on work presented in papers [6][7].…”
The paper describes a high-frequency model for transient calculation in transformer windings with segmentation on a turn level. The windings are represented by lumped RLC parameters given by the analytical approach, whereas the model is solved in the time domain. The accuracy of the analytical calculation is improved with correction factors obtained with a set of numerical calculations. The presented model is verified by measurements on the example of power transformer disc winding.
“…The capacitances between winding turns are calculated using the approach presented in reference [5]. The turn-to-turn capacitances are calculated between adjacent turns with significant capacitive coupling using simple analytical formulas for plate and cylindrical capacitors.…”
Section: A Capacitancementioning
confidence: 99%
“…The goal is to obtain the approximation of integral: (5) in closed-form to enable calculation of L matrix on turn level in acceptable time range. Function G(φ) is equal to integral of Q(r, R, z, Z, φ) with respect to variables r, R, z, and Z.…”
Section: B Inductancementioning
confidence: 99%
“…• The function is monotonically decreasing. To get the approximation of integral (5), numerous calculations of G func [7], were performed. Then, integral value is expressed using the rational func and denominator polynomials were obtained using the least squares method is equal to zero.…”
Section: B Inductancementioning
confidence: 99%
“…To get the approximation of integral (5), numerous calculations of G function's integral, using [7], were performed. Then, integral value is expressed using the rational functions, where the coeff and denominator polynomials were obtained using the least squares method: corresponds to the coils that are close to each other.…”
Section: B Inductancementioning
confidence: 99%
“…There can be over thousands of turns in transformer windings, so methods that enable fast calculation are used. Capacitances are calculated using the analytical formulas and correction factors based on numerous 2D FEM calculations [5]. The inductances are calculated using the semi-analytical approach, based on work presented in papers [6][7].…”
The paper describes a high-frequency model for transient calculation in transformer windings with segmentation on a turn level. The windings are represented by lumped RLC parameters given by the analytical approach, whereas the model is solved in the time domain. The accuracy of the analytical calculation is improved with correction factors obtained with a set of numerical calculations. The presented model is verified by measurements on the example of power transformer disc winding.
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