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EN
The presented paper deals with mathematical algorithms of an analytical calculus of an electromagnetic torque ripple of the separately excited DC motor. Assume the motor is supplied by a full controlled threephase thyristors rectifier. To describe non harmonic rectifier output voltage, the complex Fourier series was used. Suppose the motor works with constant rotor speed at steady-state. Two motor operating conditions are discussed. Continuous and discontinuous armature current operations are distinguished. The waveforms of the motor current and electromagnetic torque are calculated.
EN
A steady-state analysis of a permanent magnet synchronous motor drive with a voltage-source inverter is presented. The torque-speed profile required of the drive is a constant torque region from zero to the base speed and a constant power region above base speed. A Fourier series approach is used to predict the line current waveform. Assuming the output inverter's voltage is controlled by a pulse-width notching. Suppose the notching frequency to be constant for all frequency of the fundamental squarewave and to be fixed on 500 Hz. The permanent magnet synchronous motor model is obtained from its analogy to the fixed-excited synchronous motor. From the induced voltage and line current waveforms the electromagnetic torque ripple waveform is calculated.
3
Mathematical model of a single-phase inverter’s with voltage regulation
EN
The paper deals with mathematical model of single-phase bridge inverters which outputs voltage is controlled by a pulse-width notching. The transistors in the inverter circuit are turned on and off so as to produce zero periods of equal length, for unipolar modulation, or negative voltage for bipolar modulation. The D.C. source is being a fixed level of voltage. Suppose the notching frequency to be constant for all frequency of the fundamental squarewaves and to be fixed on 500 Hz. The output inverter’s voltage is expressed by an analytical formula based on Fourier complex series. On the base of output voltage, the waveforms of the output currents are analytically calculated for different inverter’s loads.
EN
The paper deals with a new type of an electronically commuted two-phase salient pole permanent magnet synchronous motor for an industrial and household appliance. The motor is fed from a single voltage-source inverter with rectangular output voltage. The inverter is controlled by a microcomputer. The mathematical model of the machine was realized by means of the Matlab-Simulink program.
PL
W artykule przedstawiono nowy typ 2-fazowego silnika synchronicznego z magnesami trwałymi z komutacją elektroniczną, przeznaczony do użytku przemysłowego lub w sprzęcie gospodarstwa domowego. Silnik jest zasilany z przekształtnika 1-fazowego o prostokątnym kształcie napięcia. Przekształtnik jest sterowany za pomocą mikrokomputera. Symulacje przeprowadzono przy pomocy programu Matlab-Simulink.
EN
The paper examines the excitation of a variable-reluctance motor drive operating at constant speed. The excitation refers to a prescribed relationship between the phase currents and rotor position that results in the desired drive behavior. An analytical method for the determination of currents and torque of a motor including saturation effect is presented. The model includes all significant electromagnetic and dynamic characteristic of variable-reluctance motor. A piecewise analytical analytical formula for an instantaneous torque is also included, permitting the rapid calculation of mathematically smooth torque waveforms. Because the magnetization curves do not need to be precalculated, stored or curve-fitted, the algorithms are extremely fast.
6
Behavior of the single-pulse operation switched reluctance motors
EN
The paper deals with analytic solution of currents and torque of Switched Reluctance Motor resulting in calculation of switching angles of the power transistors in supplying converter. The course of the inductance is replaced by a Fourier series.
PL
Przedstawiono dla założonych kątów załączenia tranzystorów mocy w przekształtniku zasilającym analityczne zależności dla prądów i momentu w silniku reluktancyjnym przełączalnym (SRM). Przebiegi indukcyjności zastąpiono szeregami Fouriera.
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