Abstract

A technique for calculating the parameters of a transformer without a magnetic circuit with two cylindrical coaxial multilayer windings of the same length has been developed. Such parameters as inductance, resistance, capacitance, and temperature of windings are determined, which are used to calculate periodic voltages and currents in the steady-state power supply mode of the active load, when the primary winding of the transformer is connected to the voltage inverter. The formulas for calculating the transformer parameters, voltages, and currents, which are obtained based on the equations of electromagnetic fields and electric circuits, are programmed using the Mathcad software. The method’s reliability is confirmed by a satisfactory agreement between the calculated and the experimental values of the transformer parameters, as well as by similar calculated and experimental values of periodic voltage on the resistive load. The results obtained testify to the possibility of the efficient use of transformers without magnetic circuit with high coupling coefficient at sufficiently high frequencies, when the quality factors of the windings are high, the surface effect in the conductors of the windings is negligible and the undesirable shunting effect of parasitic capacitances in the windings is still insignificant.

中文翻译：

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不带磁路的双绕组变压器参数的计算

摘要

已经开发了一种用于计算不具有具有相同长度的两个圆柱形同轴多层绕组的磁路的变压器的参数的技术。确定诸如电感，电阻，电容和绕组温度之类的参数，这些参数用于在变压器的初级绕组连接到电压时计算有功负载的稳态电源模式下的周期性电压和电流逆变器。使用Mathcad软件可以编程基于电磁场和电路方程获得的用于计算变压器参数，电压和电流的公式。该方法的可靠性是通过变压器参数的计算值和实验值之间令人满意的一致性来确认的，以及通过类似的计算得出的电阻负载上的周期性电压和实验值。所获得的结果证明，在足够高的频率下，可以有效地使用没有磁路且具有高耦合系数的变压器的可能性，当绕组的品质因数很高时，绕组导体中的表面效应可忽略不计并且产生不希望的分流绕组中寄生电容的影响仍然微不足道。