There are a lot of different mathematical models which enable the analysis of an induction machine. Generally, they could be divided into static and dynamic models. Static models allow the analysis of static characteristics of induction motors. This model, for example, is the well-known single-phase equivalent circuit of induction motor. Dynamic models can provide time variations of motor currents, developed electromagnetic torque and rotor speed as outputs. Such models enable the analysis of induction machines in transient modes.

Chapter Contents:

• 5.1 Model description
• 5.1.1 Electrical subsystem equations
• 5.1.2 Mechanical subsystem equations
• 5.1.3 Model parameters
• 5.1.3.1 Inductances
• 5.1.3.2 Resistances
• 5.2 Skewing of rotor bars
• 5.3 Linear rise of MMF across slot
• 5.4 Solution of mathematical model
• 5.4.1 Stator phase windings connection
• 5.4.1.1 WYE connection
• 5.4.1.2 DELTA connection
• 5.5 Modeling inductions motors with broken rotor bar(s)/end-ring(s)
• 5.6 Modeling induction motors with air-gap eccentricity
• 5.6.1 Inductance calculation
• 5.6.2 Static eccentricity
• 5.6.2.1 Calculation of matrix [Lss]
• 5.6.2.2 Calculation of matrix [Lsr]
• 5.6.2.3 Calculation of matrix [Lrr]
• 5.6.3 Dynamic eccentricity
• 5.6.3.1 Calculation of matrix [Lss]
• 5.6.3.2 Calculation of matrix [Lsr]
• 5.6.3.3 Calculation of matrix [Lrr]
• 5.6.4 Numerical model results
• 5.7 Modeling induction motors with interturn short circuit in stator winding
• 5.7.1 Numerical model results
• References

Inspec keywords: equivalent circuits; induction motors; torque motors

Other keywords: induction motors; motor currents; induction machines; rotor speed; multiple-coupled circuit model; single-phase equivalent circuit; electromagnetic torque

Subjects: Asynchronous machines