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**Chapter 0**

**Chapter 13**

**Tuning PI Regulators for Three-Phase Induction**

**Motor Space Vector Modulation Direct Torque**

Alfeu J. Sguarezi Filho, José L. Azcue P. and Ernesto Ruppert

Additional information is available at the end of the chapter

http://dx.doi.org/10.5772/39006

such as voltage, current, and flux.

**1. Introduction**

presented in [4].

in mentioned strategies.

cited.

**Control Using Complex Transfer Function Concept**

The dynamics of induction motor (IM) is traditionally represented by differential equations. The space-vector concept [13] is used in the mathematical representation of IM state variables

The concept of complex transfer function derives from the application of the Laplace transform to differential equations in which the complex coefficients are in accordance with the spiral vector theory which has been presented by [24]. The complex transfer function concept is applied to the three-phase induction motor mathematical model and the induction motor root locus was presented in [10]. Other procedures for modeling and simulating the three-phase induction motor dynamics using the complex transfer function concept are also

The induction machine high performance dynamics is achieved by the field orientation control (FOC) [1, 17]. The three-phase induction motor field orientation control using the complex transfer function concept to tune the PI controller by using the frequency-response function of the closed-loop complex transfer function of the controlled induction machine was presented in [2]. This strategy has satisfactory current response although stator currents had presented cross-coupling during the induction machine transients. An interesting solution was presented in [11] in which it was designed a stator-current controller using complex form. From this, the current controller structure employing single-complex zeros is synthesized with satisfactory high dynamic performance although low-speed tests had not been shown

An alternative for induction motor drive is the direct torque control (DTC), which consists of the direct control of the stator flux magnitude *λ*<sup>1</sup> and the electromagnetic torque *Te*. DTC controllers generate a stator voltage vector that allows quick torque response with the smallest

> ©2012 Azcue et al., licensee InTech. This is an open access chapter distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0),which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly

©2012 Azcue et al., licensee InTech. This is a paper distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

