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This work aims to study, analyze, and compare two direct torque control (DTC) methods of induction machine fed by [3 × 3] direct matrix converter (MC). The first method, DTC, uses the direct model of the matrix converter, whereas the second method, direct torque control indirect (DTCI), uses its indirect model, which describes MC as a combination of a four-quadrant rectifier with a two-level inverter. The two methods are simulated with the same parameters and references of speed and flux. An experimental validation is performed on a prototype of a [3 × 3] direct matrix converter realized in the laboratory, which feeds a three-phase induction machine coupled with a brake. These tests allowed us to demonstrate the practical feasibility of these control schemes. The algorithms are implemented on a dSPACE 1104 controller board. The input power factor is fixed to 1. A comparison between the two algorithms results based on several criteria (power quality, static and dynamic performance of the system, and maintenance of the unity power factor) is presented, and the results are discussed.

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