The task of compiling a mathematical description of a two-winding single-phase transformer with an air gap used in a vehicle with a contactless power supply from a cable laid in the road is solved in the work. The power source is located under the carriageway of a road, and the receiver is on the board of a vehicle. Contactless energy transfer is carried out according to the principle of an air-gap transformer. A block schematic diagram of an air-gap transformer as an automatic control system element is developed in this work. In contrast to the well-known mathematical description, the article takes into account that a magnetic core material, a core area in an air gap and an air gap size are changeable. The resulting block schematic diagram allows analyzing and synthesizing the automatic control system of a vehicle taking into account properties of a contactless power source. It also helps to optimize processes in the projected system.
Anosov V.N., Kaveshnikov V.M., Orel E.O. Matematicheskoe opisanie istochnika pitaniya dlya beskontaktnogo podvoda energii kak elementa sistemy upravleniya [Mathematical description of a power supply source for contactless energy supply as a control system element]. Doklady Akademii nauk vysshei shkoly Rossiiskoi Federatsii – Proceedings of the Russian higher school Academy of sciences, 2018, no. 4 (41), pp. 44–51. doi: 10.17212/1727-2769-2018-4-44-51.
