Abstract
A mathematical model of a new “full-bridge Buck inverter–DC motor” system is developed and experimentally validated. First, using circuit theory and the mathematical model of a DC motor, the dynamic behavior of the system under study is deduced. Later, the steady-state, stability, controllability, and flatness properties of the deduced model are described. The flatness property, associated with the mathematical model, is then exploited so that all system variables and the input can be differentially parameterized in terms of the flat output, which is determined by the angular velocity. Then, when a desired trajectory is proposed for the flat output, the input signal is calculated offline and is introduced into the system. In consequence, the validation of the mathematical model for constant and time-varying duty cycles is possible. Such a validation of this mathematical model is tackled from two directions: (1) by circuit simulation through the SimPowerSystems toolbox of Matlab-Simulink and (2) via a prototype of the system built by using Matlab-Simulink and a DS1104 board. The good similarities between the circuit simulation and the experimental results allow satisfactorily validating the mathematical model.
Highlights
One manner to attenuate the abruptness of the voltages and currents and at the same time to drive a bipolar voltage to the DC motor is through the full-bridge Buck inverter, giving rise to the new “full-bridge Buck inverter–DC motor” system [32]
The circuit simulation results are obtained through the diagram of the system shown in Figure 4, whose implementation has been executed via the SimPowerSystems toolbox of Matlab-Simulink
These variables are related to the full-bridge Buck inverter–DC motor system and to the differential parametrization
Summary
Electronic power converters as drivers for DC motors have been recently studied [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30].According to the literature on power converters, the Buck [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23], the Boost [24,25,26], and theBuck-Boost [27,28,29,30] topologies are the most used. Electronic power converters as drivers for DC motors have been recently studied [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30]. The Buck topology received the most attention. As the present paper focuses on the Buck power converter as a driver for a DC motor, a review of state-of-the-art of this topic is presented below
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