Control of induction machine based on mathematical model with included anisotropy

2014 ◽  
Author(s):  
Vinko Lesic ◽  
Mario Vasak ◽  
Goran Stojcic ◽  
Thomas M. Wolbank
Keyword(s):  
Mathematical Model ◽  
Induction Machine

scholarly journals Simplification of Mathematical Model of Double Fed Asynchronous Machine

2017 ◽  
Vol 1 (3) ◽  
Author(s):  
Rauf Ismail Mustafayev ◽  
Laman Hasan Hasanova
Keyword(s):  
Mathematical Model ◽  
Differential Equations ◽  
Power Systems ◽  
Voltage Drop ◽  
Renewable Energy Sources ◽  
Induction Machine ◽  
Sharp Change ◽  
Small Hydropower ◽  
Algebraic Differential Equations ◽  
Rotor Winding

Double Fed Asynchronous Machines in (DFAM) recent years have found wide application both as generators mainly in renewable energy sources (wind power, small hydropower), and as a motors embedded in various electric drives. In order to study the static and dynamic modes of operation of these machines as one of the most effective methods - the method of mathematical modeling is widely used. It was found that the algebraic-differential equations that make up the mathematical model of double fed induction machine are expediently represented in the d and q axes rotating with the rotor speed of the machine. Particularly this form allows relatively simple reproduction of control coordinates - amplitude and frequency converted to the rotor winding voltage. This mathematical model is based on the well-known Park equations for synchronous machines. It is proposed to simplify the algebraic-differential equations of the double-fed induction machine by reducing the transformer emf, the slip emf and the voltage drop on the stator winding of the machine. The results of calculations for the complete equations of the machine having the 6th order and on the simplified equations having the 4th order showed that the error in determining the regime parameters of the machine in steady-state conditions is in the range 0-7%, i.e. does not exceed 7 percent. The error in dynamic modes is also within acceptable limits. In the dynamics of the change in the regime parameters of DFIM with a sharp change in the disturbing influences slightly differ from each other, and with a sharp change in the control actions they make up 20-30%. This allows to recommend the proposed simplification for engineering calculations, especially when these machines operate in a group or in parallel with other machines and components of power systems. 

scholarly journals THE ANALYSIS OF THE THREE-PHASE INDUCTION MOTOR WITH DEEP ROTOR BARS THROUGH NUMERICAL SIMULATIONS UTILIZING A MODIFIED MATHEMATICAL MODEL

2021 ◽  
Vol 2020 (1) ◽  
pp. 1-11
Author(s):  
Mihai IORDACHE ◽  
Sorin DELEANU ◽  
Neculai GALAN
Keyword(s):  
Mathematical Model ◽  
Numerical Simulations ◽  
Induction Motor ◽  
Skin Effect ◽  
Induction Machine ◽  
Rotor Resistance ◽  
Three Phase ◽  
Space Phasor ◽  
Analytical Expressions ◽  
Circuit Resistance

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.

Francis Turbine Modeling for Hydrounit on the Bases of the Doubly Fed Induction Machine

2015 ◽  
Vol 792 ◽  
pp. 203-208
Author(s):  
Rustam Kh. Diyorov ◽  
M.V. Glazyrin
Keyword(s):  
Mathematical Model ◽  
Numerical Modeling ◽  
Induction Machine ◽  
Hydraulic Turbine ◽  
Francis Turbine ◽  
Variable Speed ◽  
Physical Representation ◽  
Doubly Fed Induction Machine ◽  
Doubly Fed ◽  
The Mathematical Model

The mathematical model of Francis turbine, operating at variable speed hydrounit, has created. The results of numerical modeling are fully consistent with the physical representation of the behavior of the hydraulic turbine in dynamic modes.

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

2013 ◽  
Vol 860-863 ◽  
pp. 2223-2231 ◽  
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.

scholarly journals Sliding mode control of a Five-Phase Series- Connected Two-Motor Drive

2021 ◽  
Vol 1 (1) ◽  
pp. 59-68
Author(s):  
Lazhari NEZLI ◽  
Omar Zouaid
Keyword(s):  
Mathematical Model ◽  
Sliding Mode Control ◽  
Vector Control ◽  
Sliding Mode ◽  
Induction Machine ◽  
Voltage Inverter ◽  
Mode Control ◽  
Asynchronous Machines ◽  
Park Transformation ◽  
The Mathematical Model

In this work, we study vector control and sliding mode control of series-connected five-phase two asynchronous machines supplied with a three levels inverter. After presentation of multiphase machines, we worked out the mathematical model of five phase asynchronous machine supplied with voltage inverter. Application of Park transformation reduces considerably the mathematical model of machine. After, we applied vector control and sliding mode control to the five-phase induction machine. After that, we study a multi-machine system which comport five-phase two asynchronous machines supplied with a single voltage inverter. In the last, we had the independent vector control and the sliding mode control of series-connected five-phase two asynchronous machines. We observe that an appropriate transposition of phase’s order permits an independent control of two machines.

Universal mathematical model of asynchronous machine as an element microgrid in smart grid

2021 ◽  
Vol 8 (3) ◽  
pp. 444-453
Author(s):  
P. F. Gogolyuk ◽  
◽  
O. P. Hoholyuk ◽  
T. A. Kutsyk ◽  
◽  
...  
Keyword(s):  
Mathematical Model ◽  
Smart Grid ◽  
Magnetic Circuit ◽  
Induction Machine ◽  
Magnetic Core ◽  
Active Power ◽  
Power Losses ◽  
Electric Power Supply ◽  
Active Power Losses ◽  
Supply Systems

An universal mathematical model of an induction machine (IM) has been constructed, taking into account the saturation of the main magnetic circuit of its magnetic core and the active power losses. The proposed approach to IM modeling expands the abilities of MATLAB / Simulink environment for analysis of the electric power supply systems (microgrid in the smart grid) with the nonlinear elements and dynamic load in abnormal, asymmetric and fault regimes.

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