Resonance Between Planar Coils vs Ring Coils Excited by Square Waves

Abstract

Abstract-This paper presents a basic analysis about experiment results using planar coils inner ring coils, defining a transformer, when this system is excited by square wave voltage. In this study phenomena of response to step voltage due to parasitic capacitances is analyzed, and a sum of responses when the input square wave frequency increases is given too. These phenomena are uncommon in literature, which can be applied to several areas of researches in electrical engineering, pulse transformers and power electronics.

Planar Transformers Excited by Square Waves

“…The measurements and system analysis are compared with system described in [19][20][21] which is a transformer built with planar coil inner ring coil, to verify conditions of resonance and energy transfer, including effects of parasitic capacitances on these coils [42], to future applications of these devices.…”

“…In some cases, several analyses about transformers built with planar coils [7][8][9][10][11] are found in literature, which generally is made in integrated circuits [12][13][14][15][16][17][18] and few in large dimensions (in the order of centimeters) with crossing of planar coils and ring coils excited by square waves [19][20][21]. In other studies, analysis of the responses when the transformer is excited by square waves is generally applied to pulse transformers [22][23][24][25][26][27][28], or power electronics [29][30][31].…”

“…In this case, the application is specific, and the analysis is not used to high energy, although some results may be utilized for applications in induced emf for transformers with large dimensions, in a similar way to [19][20][21]. The need to analyze these specific transformers is found in the reduction of electromagnetics devices and their applications, which is much needed today.…”

“…These applications may be seen in several researches on electromagnetics fields [33][34][35][36][37][38], considering analysis of their characteristics as self and mutual inductances [39][40][41] or parasitic capacitances [42]. With these feasible applications, an analysis about transformers built with planar coils is presented in this paper, considering the case of square wave excitation, comparing this analysis with the related problems of [19][20][21].…”

“…So, this paper is presented as follows: the coils data and utilized equipments in realized experiments are shown in Section 2; the analysis about responses of the analyzed configurations, transfer function of the system and discussions about found results, comparing with results of transformers built with planar coils inner ring coils are shown in Section 3; Section 4 analyzes the problem of system resonance and compares these results with the cited transformers of [19,20,21]; the conclusions of this paper are presented in Section 5.…”