Chapter deals with electrical drives with induction machines. After short introduction concerning basic construction variants and general problems of modeling induction motor drives, mathematical models are developed on a basis of previously introduced Lagrange’s method. Models transformed in a classical way are presented by use of orthogonal transformation along with the options governing free parameters of these transformations. Subsequently, other models are developed, in which only one side electrical variables are transformed – stator’s or rotor’s, while the other side remains untransformed, with natural variables. These models are applied in simulation and presenting various problems of drive systems with electronic power converters and for other external asymmetry cases. Some of them are classical drive problems like DC breaking, operation of Scherbius drive or soft-start systems. Other concern modern systems with electronic power converters, more precisely and successfully modeled and computed in this way. They are drives with two- and three-level voltage source inverters used in PWM control (SVM, DPWM) as well as current source inverters – CSI. These kinds of models are also applied to present vector control (VC) or field oriented control (FOC) and direct torque control (DTC) of induction motor drives. Abovementioned problems are widely illustrated by examples computed for various dynamic states, with and without automatic control, and for that purpose four induction motors of different rated power are presented. Finally a problem of structural linearization of induction motor drive is covered, beside a number of useful state observer systems that are discussed.