A Novel Approach for Determining the Equivalent Circuit of Dummy Load Inductor in Loran Transmitter Considering Parasiti

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A Novel Approach for Determining the Equivalent Circuit of Dummy Load Inductor in Loran Transmitter Considering Parasitic Capacitor Arash Dehestani Kolagar1 • Ali Abdollahi Arjanaki1 Mohammad Reza Alizadeh Pahlavani1



Received: 18 May 2019 / Accepted: 14 September 2020 Ó The Institution of Engineers (India) 2020

Abstract The dummy load is an essential part of Loran transmitter whose role is paramount in local positioning applications. The duty of the dummy load is to provide the equivalent impedance of the antenna to connect to the Loran transmitter when the antenna is disconnected. For the realization of the dummy load with specified impedance values, the inductance of the self-loading section is designed precisely. In this regard, this paper deals with inductance matrix and equivalent inductance calculations, corresponding to stranded and solid cables. Inductance matrix components, consisting of mutual and self-inductance, are calculated analytically and then are validated by the finite element method (FEM). The divergence of analytical calculations from FEM results is investigated as coil pitch changes. In addition to inductance, parasitic capacitances will be taken into consideration to determine the equivalent circuit of Loran transmitter inductor. With regard to the calculated inductance matrix and parasitic capacitances, the ladder equivalent circuit of the inductor will be presented. Keywords Loran transmitter  Dummy load  Inductance matrix  Equivalent inductance  Parasitic capacitance

& Arash Dehestani Kolagar [email protected] 1

Faculty of Electrical and Computer Engineering, Malek Ashtar University of Technology, Tehran, Iran

Introduction Dummy load inductance is one of the parameters that are important for designing the dummy load for a groundbased positioning system. To achieve the specified inductance, the inductance calculations should be accurately carried out, and these calculations must be validated. There is a capacitance between coil rings as well as between each coil ring and earth. These parasitic capacitors considerably affect the performances of the coil. For this reason, calculation of the parasitic capacitance and the proposed model seems to be necessary. In high frequencies, with regard to decreasing in impedance, corresponding to the parasitic capacitor, the parasitic capacitor must prominently be calculated with high accuracy. In [1], self-inductance of a current loop is calculated by mutual inductance calculations between two stranded conductors. In the same way, in [2], mutual inductance has been determined by flow flux computation of a current ring. Then, mutual inductance calculations for a wireless power transfer system are presented in [3, 4]. In this way, mutual inductance is determined based on field calculation and finite element analysis, considering the circuit model and open-circuit voltage calculations. There are many efforts reported in [5–8] for inductance calculations for a current conductor with linear distribution, but none of them consider