The Tesla transformer output voltage with an operating frequency deflection from the resonant value

Purpose. Determination of the amplitude-time dependence of the voltage at the output of the secondary circuit, as well as numerical estimations illustrating the quantitative indices of the process when the exciting frequency deviates from the resonance values determining the effectiveness of the Tesla transformer as an effective electrical converter. Results. Dependences of the output voltage on operating frequencies of the proceeding electrodynamic processes that make it possible to estimate the voltage transformation efficiency in the Tesla transformer have been received. Scientific Novelty. The amplitude-time dependences of the voltage at the output of the Tesla transformer secondary circuit have been obtained, as well as the numerical estimations showing the quantitative indices of the process when the exciting frequency deviates from the resonant value. Practical value. The operating frequencies range limits determining the values of the integral voltage conversion factors have been found out from the value of the Q-factor of the Tesla transformer secondary circuit – Q2. The maximum of the integral voltage conversion coefficient, which is much higher than the value (in ~Q2 times), caused by the electromagnetic coupling between the windings of the Tesla transformer, is achieved in a very narrow band near the resonant frequency (relative deviation ~ ). With an insignificant deviation of the operating frequency from the resonant value (by no more than ±10%), the value of the integral voltage conversion coefficient drops significantly (by more than an order of magnitude) and at low frequencies of the exciting voltage (in the first approximation, an order of magnitude lower than the resonant frequency of the secondary circuit), the Tesla transformer works as a normal step-up voltage converter with a transformation coefficient, the value of which is set by the well-known phenomenon of electromagnetic induction