Dynamic Mathematical Model for 4-Pole Three-Phase Induction Machine Considering Rotor Irregularities

The three-phase induction machine mathematical model presented in the paper, is adequate for applying to the deep rotor bars case. The rotor resistance R’r(r), respectively its leakage inductivity L’r(r), depend upon the rotor currents’ frequency fr because of the skin effect. Following the previous considerations, one developed slip dependent analytical expressions of the rotor circuit resistance R’r(s), respectively rotor circuit leakage reactance L’r (s). A modified space phasor based mathematical model of the deep bar induction motor is tested through simulations to assess the motor’s characteristics. The results are in accordance with the literature.

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Lissajous Curve of an Auxiliary Winding Voltage Park Components for Doubly-Fed Induction Machine Electrical Faults Diagnosis

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.860-863.2223 ◽

2013 ◽

Vol 860-863 ◽

pp. 2223-2231 ◽

Cited By ~ 4

Author(s):

Lamiaâ El Menzhi ◽

Abdallah Saad

Keyword(s):

Mathematical Model ◽

Time Domain ◽

Induction Machine ◽

New Method ◽

Three Phase ◽

Doubly Fed Induction Machine ◽

Faults Diagnosis ◽

Simulation Results ◽

Electrical Faults ◽

Doubly Fed

In this paper, a new method for doubly-fed induction machine electrical faults diagnosis is presented. It is based on the so-called the Lissajous curve of an auxiliary winding voltage Park components. For this purpose, time domain mathematical model of a three phase doubly-fed induction machine and expressions of the inserted winding voltage and its Park components are presented. Simulation results curried out for non defected and defected machine show the effectiveness of the proposed method.

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Three-phase induction motor dynamic mathematical model considering air-gap irregularities

2005 5th IEEE International Symposium on Diagnostics for Electric Machines, Power Electronics and Drives ◽

10.1109/demped.2005.4662524 ◽

2005 ◽

Author(s):

Marcio Massakiti Kubo ◽

Ernesto Ruppert Filho

Keyword(s):

Mathematical Model ◽

Induction Motor ◽

Air Gap ◽

Three Phase ◽

Dynamic Mathematical Model

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Mathematical Model of the Three-Phase Induction Machine for the Study of Steady-State and Transient Duty Under Balanced and Unbalanced States

Induction Motors - Modelling and Control ◽

10.5772/49983 ◽

2012 ◽

Cited By ~ 2

Author(s):

Alecsandru Simion ◽

Leonard Livadaru ◽

Adrian Munteanu

Keyword(s):

Mathematical Model ◽

Steady State ◽

Induction Machine ◽

Three Phase

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Determination of slot leakage inductance for three-phase induction motor winding using an analytical method

Archives of Electrical Engineering ◽

10.2478/aee-2013-0046 ◽

2013 ◽

Vol 62 (4) ◽

pp. 569-591 ◽

Cited By ~ 5

Author(s):

Jan Staszak

Keyword(s):

Mathematical Model ◽

Coordinate System ◽

Analytical Method ◽

Induction Machine ◽

Electrical Machines ◽

Coordinate Frame ◽

Leakage Inductance ◽

Three Phase ◽

The Mathematical Model

Abstract The article introduced some expressions for self- and mutual slot leakage inductance of phase windings for the mathematical model of an induction machine in the natural phase coordinate system and for dq0 model and in an arbitrary coordinate frame. Calculation of self- and mutual slot leakage inductance have been performed for threephase double-layer, delta and delta-modified winding connections. Introduced expressions may be useful in the design of windings and in the analysis of dynamic states of AC electrical machines.

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