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The time of application of active space voltage vectors is found from Fig. The principle of space vector time calculation. 4, depicting the position of differently available space vectors and the reference vector in the first sector.įigure 4. To calculate the time of application of different vectors, consider Fig. The reference vector which represents three-phase sinusoidal voltage is generated using SVPWM by switching between two nearest active vectors and zero vector. 3) which can be seen as consisting of six sectors spanning 60° each. It is seen in the previous section that a three-phase VSI generates eight switching states which include six active and two zero states. In vector controlled drive this technique is used for reference voltage generation when current control is exercised in rotating reference frame. This PWM method is frequently used in vector controlled and direct torque controlled drives. This section briefly discusses the space vector PWM principle. SPACE VECTOR PULSE WIDTH MODULATION (SVPMW) The most significant bit is for leg A, the least significant bit is related to leg C and the middle is for leg B. Here 1 implies upper switch being on and 0 refers to the lower switch of the leg being on. The binary numbers on the figure indicate the switch state of inverter legs. The discrete phase voltage space vector positions are shown in Fig. Phase voltage values for different switching states. Phase voltages are summarised in Table 1 and their corresponding space vectors are listed in Table 2. Substitution of (3) into (2) yields phase-to-neutral voltages of the load in the following form: Since the phase voltages in a start connected load sum to zero, the summation of equation (2) yields The following correlation then holds true: Phase-to-neutral voltages of a star-connected load are most easily found by defining a voltage difference between the star point n of the load and the negative rail of the dc bus N. It is a complex variable and is function of time in contrast to the phasors. The space vector is a simultaneous representation of all the three-phase quantities. Space vector representation of the three-phase inverter output voltages is introduced next. Thus it follows that the leg voltages will have six distinct and discrete values in one cycle (360°). that one inverter leg's state changes after an interval of 60° and their state remains constant for 60° interval. Leg voThe legge waveform of a three-phase VSI.
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The power circuit of a three-phase VSI.įigure 2. One of these two is a controllable device and another one is a diode for protection. 1Įach switch in the inverter leg is composed of two back-to-back connected semiconductor devices.
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The power circuit topology of a three-phase VSI is shown in Fig. THREE-PHASE VSI MODELLING REVIEWĪ mathematical model of three-phase is presented here based on space vector representation. Various simulation results are also included. Finally, a MATLAB/SIMULINK model for the SVPWM is presented. This is followed by the basic principle of SVPWM. Firstly model of a three-phase inverter is presented on the basis of space vector representation.
Svpwm matlab simulink software#
The reason for the choice of MATLAB/SIMULINK as a development tool is because it is the most important and widely used simulation software and is an integral part of a taught programme in most of the universities in Electrical/Electronics Engineering courses. The main focus of this article is to develop a simple MATLAB/SIMULINK model. This improves the harmonic performance of this method. The major advantage of SVWPM stem from the fact that there is a degree of freedom of space vector placement in a switching cycle. The SVPWM is identified as an alternative method of determination of switching pulse width and their position. Space vector modulation improves dc bus utilization by 15.15%, further digital implementation of this scheme is easier. The maximum output voltage from VSI utilizing this scheme is limited to 0.5V dc (peak) or 0.353 rms. The major disadvantage of this scheme is a lower dc bus utilization.
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The most popular among those are carrier-based sinusoidal PWM and SVPWM. A number of PWM techniques have been presented to obtain variable voltage and frequency supply. Variable voltage and frequency supply for as drives are invariably obtained from a three-phase VSI.