Abstract
Tesla coil is an electrical device capable of developing high potentials ranging from a few hundreds of kilovolts up to several megavolts; the voltage is produced as AC, with a typical frequency of 50–400 kHz. Tesla coils, which are typically operated in pulsed mode, have strong coupling with pulse widths varying from some nanoseconds up to several hundreds of microseconds according to the particular application. Due to their capabilities, Tesla Transformers have found various applications such as in high voltage Subnanosecond Pulsers [1], aging of insulators and high frequency solid insulation testing [2]. The prominent effect of coupling on the performance of Tesla coils necessitates the investigation of mutual inductance (M) calculation methods. Analytical methods have been applied to calculate M for Tesla coils with rectangular cross-section conductors [3, 4]. The closed-form expressions of these methods result in complete elliptic integral of first and second kind and Neumann’s Lambda function, which makes the expression to seem complicated for users. The method proposed in this paper is a combined analytical and numerical method based on magnetic vector potential (A)and Neumann’s method which can be easily comprehended and convenient to be used [5]. Besides, the configuration role in optimizing M and voltage gain are investigated.
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