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EN
The model for the simulation of the one-phase short interruption influence on the dynamic states of an induction motor is presented. The model was employed for simulation of the one-phase supply interruption (voltage and currents) and the voltage phase shift in the subsequent voltage recovery. The analysis of the electromotive force, currents, torque, speed provides information about the influence of the one-phase supply interruption and the field suppression rate on the dynamic performance of a motor after the supply recovery. The influence of the voltage phase shift on the motor operation has been analysed for various values of the moment of inertia and various interruption time. The simulation was carried out using the Matlab package. The results are presented in the figures and tables.
EN
The model for simulation the influence of the supply interruption on the dynamic states of an induction motor is presented. The model was employed to simulation of the three-phase balanced supply interruption(voltage and currents) and the voltage phase shift in the subsequent voltage recovery. The analysis of the electromotive force E, currents I torque Me, speed omega provides information about the influence of the supply interruption and the field suppression rate on the dynamic performance of a motor after the supply recovery. The influence of the voltage phase shift on the motor operation has been analysed for various values of the moment of inertia and various interruption time. The simulation was carried out using the Matlab package.
EN
The paper presents a model for simulating the influence of a voltage phase shift on the emf and dynamic states an induction motor. The model was employed to simulation investigation of both the balanced and unbalanced voltage dip and the voltage phase shift in the subsequent voltage recovery and the voltage phase shift without voltage dip. The observation of the emf provides information about the influence of the field suppression rate on the dynamic performance of a motor after the voltage recovery. The influence of the voltage phase shift on the motor operation was analysed for various values of the moment of inertia and the motors loads. The equations describing the electromechanical conversion in an induction motor are based on the Hamilton's principle of least action and Euler-Lagrange equations. Equations of the induction motor dynamics are written for the sinusoidal, three-phase stator supply voltage, in the stator-fixed coordinates for the space vectors components (a,b) of voltages U , currents i and the electromotive force E. The simulation was carried out using the Matlab package.
4
Content available remote Metoda analizy dynamiki układów napędowych z parametrami rozłożonymi
PL
W artykule przedstawiono metodę analizy dynamiki układów elektromechanicznych z parametrami rozłożonymi. Dynamikę układu napędowego z parametrami rozłożonymi zapisano w oparciu o równanie różniczkowe cząstkowe-równanie falowe. Model matematyczny opisujący w sposób ogólny dynamikę napędu stworzono w oparciu o energetyczna funkcję stanu Lagrange'a przy uwzględnieniu energii potencjalnych i koenergii kinetycznych układu elektromechanicznego. Równania opisujące przemianę elektromechaniczną zapisano w oparciu o zasadę najmniejszego działania Hamiltona i równania Eulera—Lagrange'a. Analiza układu poparta została badaniami symulacyjnymi wybranych systemów elektromechanicznych. Przypadek systemu elektromechanicznego powiązanego materiałowo rozważono dla układu napędowego zwijarki. Uzyskane wyniki i wnioski końcowe mogą być przydatne również dla dydaktyki.
EN
The dynamics analysis for distributed-parameters and concentrated- parameters system drive's are presented in this paper. The distributed-parameters system drive's dynamics has described by use partial differential equation - wave equation. This equation for system drive's has solved by change to differential-difference equation. A mathematical model describing drive's system dynamics universally has given in this paper. This model has created by use Lagrange function of state. Equations describing electromechanical conversion have derived by use Hamilton' s principle of least action and Euler - Lagrange equations. The analysis has been backed up by simulation of selected electromechanical systems. The case of material-connected electromechanical system have been also considered by simulation of a coiling machine drive. Obtained results allowed for final conclusions, which can be useful for educational purposes too.
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