In the paper has been formulated a mathematical model of the sprocket-, tensioner- and/or road-wheel-hub motor/generator for the electrically-powered and mechatronically-controlled intelligent main battle tank (IMBT). In order to formulate a mathematical model of the sprocket-, tensioner- and/or road-wheel-hub AC-AC, AC-DC-AC or DC-AC/AC-DC macrocommutator magnetoelectrically-excited in-wheel-hub motor/generator, analogous to the mathematical model of the brushed DC-AC/AC-DC commutator IPM magnetoelectrically-excited motor/generator with a rotating DC-AC/AC-DC mechanoelectńcal commutator taking into consideration equations of unholonomic constraints of the AC-AC, AC-DC-AC or DC-AC/AC-DC commutator, a set of the second-order Euler-Lagrange differential equations ofdynamics in a matrix notationfor the AC commutatorless on-board generator can be written. After taking into account the equations of unholonomic constraints of the MCT or MOSFET AC-DC/DC-AC macrocommutator in the differential equations of dynamics one can be obtained differential equations of dynamics, establishing of a mathematical model of AC-DC/DC-AC macrocommutator magnetoelectrically excited in-wheel-hub generator/motor with the MCT or MOSFET application specific integrated matrixer (ASIM) AC-DC/DC-AC macrocommutator, acting as the electrical machine's MCT or MOSFET ASIM AC-DC rectifier/DC-AC inverter.
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