Support for Learning of Dynamic Performance of Electrical Rotating Machines by Virtual Models

The undergraduate electrical machines course belongs to basic courses in electrical engineering. It is especially crucial for the students studying continuing subjects like electrical drives and control of electrical drives. Thus, a good knowledge of the behavior of electrical machines in various control modes and various supply and the changeable parameters of machines is needed to understand the behavior of machines. This chapter deals with the development of virtual models of two electrical machines in MATLAB GUIDE: an one-phase motor and a stepper motor. It serves as a guide for similar applications; only the necessary explanation of the machines operation and their mathematical models is presented, which creates a core of developed virtual models. The graphical user interfaces contribute in modernizing the electrical machines course and in enriching their attractiveness by a fast and comfortable visualization of the machine performance at their changeable control modes and parameters. They also serve as an introduction to the measurement of real machines in the laboratory. Of course, the teacher is expected to clarify the obtained graphical results and phenomena running in real machines corresponding to the machine behavior

Analytical method of calculation of the current and torque a reluctance stepper motor via Fourier series

Reluctance stepper motors are becoming to be very attractive transducer to conversion of electric signal to the mechanical position. Due to its simple construction is reluctance machine considered a very reliable machine which not requiring any maintenance. Present paper proposes a mathematical method of an analytical calculus of a phase current and electromagnetic torque of the motor via Fourier series. Saturation effect and winding reluctance are neglected

Behavior of a Pentacle Connected Five-Phase IM Supplied by a Rectangular Voltage

The presented article deals with the steadystate analysis of five-phase Induction Motor (IM), which is supplied by rectangular voltage from a fiveleg Voltage Source Inverter (VSI). The new proposed approach is derived from complex Fourierseries using to express inverter terminal voltages. Based on mathematically described inverter output voltages, a formula for VSI output space phasor was derived. Assuming sinusoidal motor winding distribution and on the basis of motor parameters, stator and rotor current space phasors for defined motor load were determined. Finally, the electromagnetic torque ripple waveforms for different IM operation states were investigated

Modelling of a serial wound DC motor supplied by a semi-controlled rectifier

A serial wound DC motor is one of most used electrical machines in a small electrical instruments and home equipments by reason, that its speed is easily controlled by a supply voltage. Suppose that the motor is supplied by a semicontrolled rectifier and operate in open circuit loop. After representing of the mathematical model, a simulation model based on the Matlab-Simulink is derived; this allows for the determination of the waveforms of the speed current and torque of the machine for different state operation. Induced voltage of the rotor is determined as a function of the magnetic core saturation and of the armature reaction

Dynamic model of the universal motor supplied by a harmonic voltage

In present article a dynamic model of universal motors, based on the measured data is developed. Suppose that the supply voltage is harmonic and motor operate in open circuit loop. After representing of the mathematical model a simulation model based on the Matlab-Simulink is derived; this allows for the determination of the waveforms of the speed current and torque of the machine for different state operation. Induced voltage of the rotor is determined as a function of the magnetic core saturation and of the armature reaction

Obliczenia przebiegów tętnień momentu elektromagnetycznego w silniku indukcyjnym z pięciofazowym uzwojeniem w układzie pentagramu, w warunkach uszkodzenia jednej z faz

Przedstawiony artykuł dotyczy pięciofazowego silnika indukcyjnego (IM) z połączonym pentaklem skrzydłem stojana, który działa w przypadku awarii zasilania jednofazowego. Obliczanie wielkości elektromagnetycznych silnika odbywa się za pomocą teorii wektora przestrzeni w płaszczyźnie zespolonej. Zakładając, że silnik jest zasilany przez wysoką częstotliwość modulacji sterowaną PWM, brane są pod uwagę tylko pierwsze harmoniczne napięcia stojana. Na podstawie zmierzonych parametrów IM badano trajektorie wektorów przestrzennych prądu stojana i wirnika. Spośród nich wyprowadzono przebieg tętnienia momentu elektromagnetycznego silnika dla trybu pracy z zasilaniem czterofazowym.The presented paper deals with the five-phase induction motor (IM) with pentacle connected stator winging, which is working under one phase supply failure. A computation of the motor electromagnetic quantities is made using the space vector theory in the complex plane. Assuming, the motor is supplied by a PWM controlled inverter high modulation frequency, only the first stator voltage harmonics are taken in consideration. On the base of the measured parameters of the IM the trajectories of the stator and rotor current space vectors were investigated. Of these, the motor electromagnetic torque ripple waveform for four-phase supply working mode is derived

Zeszyty problemowe -Maszyny Elektryczne Nr 100/2013 cz. II ANALYTICAL METHOD OF A CALCULATION OF A TORQUE RIPPLE OF A TWO-PHASE ASYNCHRONOUS MOTOR SUPPLIED BY A PWM CONTROLLED INVERTER

Abstract: The paper deals with steady state calculation of torque and currents ripples of a two-phase asynchronous machine, which is supplied by an IGBT transistors half-bridge connected inverter. The inverter output voltage is controlled by a PWM of the input DC voltage. The complex Fourier series analysis of the inverter output voltage was made, to obtain a spectrum of the harmonic supply voltages. The different voltage harmonic was applied to the two-phase induction machine model to obtain the electromagnetic torque and currents waveforms for various operation conditions

Redukcja tętnień momentu elektromagnetycznego pięciofazowego silnika asynchronicznego przy jednofazowej utracie mocy

The presented paper deals with the five-phase induction motor (IM) having pentagon connected stator winding, which is working under one phase supply failure. Computation of the motor electromagnetic quantities was made using the space vector theory in the complex plane. Analysis is done assuming, the motor is supplied by a pulse width modulation (PWM) controlled inverter with sufficiently high modulation frequency. Only the first stator voltage harmonics is taken into consideration. On the base of measured IM parameters, trajectories of stator and rotor current space vectors were investigated. On their basis, the motor electromagnetic torque ripple waveform for failure supply mode is derived. Finally a possibility to reduce torque ripple in failure state is shown.W artykule opisano pięciofazowy silnik indukcyjny (SI) o pięciokątnym uzwojeniu stojana, pracujący przy jednofazowym zaniku zasilania. Obliczenia wielkości elektromagnetycznych silnika przeprowadzono z wykorzystaniem teorii wektorów przestrzennych na płaszczyźnie zespolonej. Analizę przeprowadzono przy założeniu, że silnik jest zasilany z falownika sterowanego modulacją szerokości impulsów (PWM) o odpowiednio wysokiej częstotliwości modulacji. Uwzględniono tylko pierwszą harmoniczną napięcia stojana. Na podstawie zmierzonych parametrów SI zbadano trajektorie wektorów przestrzeni prądów stojana i wirnika. Na ich podstawie wyznaczono przebieg tętnień momentu elektromagnetycznego silnika dla trybu zasilania awaryjnego. Na zakończenie przedstawiono możliwość redukcji tętnień momentu w stanie awaryjnym