THREE PHASE INVERTER AIM To simulate Three phase inverter using MATLAB Simulink model SOFTWARE USED MATLAB 2010 SIMULINK LIBRARY BROWSER Item Opening Simulink Selecting New File Selecting DC Source Selecting IGBT Selecting Series RLC branch Selecting Pulse Generater(Triggering) Mux Path 1. Click on the Simulink icon on Matlab taskbar 2. Type Simulink on Matlab Command Window File -> New -> Model Libraries ->SimpowerSystems -> electrical sources Icon Libraries ->SimPowerSystems >PowerElectronics ->Thyristor Libraries ->SimpowerSystems -> Elements Libraries -> Sources Libraries -> Simulink ->Commonly used blocks Voltage Measurement Libraries ->SimpowerSystems -> Measurement Scope Libraries -> Sink THEORY Device that converts dc input voltage to ac output voltage of desired magnitude and frequency is called an inverter.Inverters can be classified into single phase inverters and three phase inverters . Switching devices used in inverters uses PWM control signals for producing an ac output voltage. If the input voltage remains constant the inverter is called a Voltage source inverter and if the input current remains constant it is known as a Current source inverter. Three phase inverters are normally used for high power applications. A Three phase inverter can be obtained from a configuration of six transistors and six diodes as shown. Two types control signals can be applied to the transistors 180˚ conduction or 120˚ conduction.180 ˚conduction conduction has better utilisation of switches and is preferredmethod. In 180˚conduction mode each transistor conducts for 180˚ and in 120˚conduction mode each transistor conducts for 120˚ CIRCUIT 180o CONDUCTION In 1800 conduction scheme,each device conducts for 1800. They are turned ON at regular interval of 600 in the sequence Q1,Q2,Q3,Q4,Q5,Q6.The output terminals A B and C of this bridge are connected to the terminals of a 3-phase star or delta connected load. For a star connected balanced load, the operation is explained below.During the period 0 0 to 600, s1 s5 and s6 are conducting. Load terminals A and C are connected to positive terminal of the source and load terminal B is connected to negative terminal of the source. Equivalent circuit is shown below. Resistance between positive terminal and neutral is R/2 and between negative terminal and neutral is R. Hence, load voltages are VAN=V/3, VBN=-2V/3, VCN=V/3 Line volages are VAB=VAN-VBN=V, VBC=VBN-VCN=-V , VCA=VCN-VAN=0 Similarly other equivalent circuits and voltages can be found. 0-600 : T1,T5,T6 600-1200: T1,T2,T6 VAB=VAN-VBN=V, VBC=VBN-VCN=-V , VCA=VCN-VAN=0 VAB=VAN-VBN=V, VBC=VBN-VCN=0 , VCA=VCN-VAN= -V VAN=V/3, VBN=-2V/3, VCN=V/3 VAN=2V/3, VBN= -V/3, VCN= -V/3 1200-1800: T1,T2,T3 1800-2400: T2,T3,T4 VAB=VAN-VBN=0, VBC=VBN-VCN=V , VCA=VCN-VAN= -V VAN=V/3, VBN= V/3, VCN= -2V/3 VAB=VAN-VBN=-V, VBC=VBN-VCN=V , VCA=VCN-VAN= 0 VAN= -V/3, VBN=2 V/3, VCN= -V/3 2400-3000: T3,T4,T5 3000-3600: T4,T5,T6 VAB=VAN-VBN=-V, VBC=VBN-VCN=0 , VCA=VCN-VAN= V VAB=VAN-VBN=0, VBC=VBN-VCN=-V , VCA=VCN-VAN= V VAN= -2V/3, VBN= V/3, VCN= V/3 VAN= -V/3, VBN=- V/3, VCN= 2V/3 Wave forms for 180˚conduction mode 1200 CONDUCTION In 1200 conduction scheme each device conducts for 1200.It is preferable for a delta connected load because it provides a six step waveform across any phase.As each device conducts for 1200 , only two devices are in conduction state at any instant. During the period 00 to 600 , Q1 to Q6 are conducting. Load terminals A is connected to positive terminal and load terminal B is connected to negative terminal of the source. Load terminal C is in floating state. Phase Voltages=Line Voltages VAB= V VBC= -V/2 Vca= -V/2 Waveform for 120˚conduction SETTING PULSE DELAY FOR IGBT 1. The Pulse Generator block generates square wave pulses at regular intervals. This square wave pulses are applied to IGBT for triggering. The block's waveform parameters, Amplitude, Pulse Width, Period, and Phase Delay, determine the shape of the output waveform. Pulse type The pulse type for this block: time-based or sample-based. The default is time-based. Time Specifies whether to use simulation time or an external signal as the source of values for the output pulse's time variable. If you specify an external source, the block displays an input port for connecting the source. The output pulse differs as follows: If you select Use simulation time, the block generates an output pulse where the time variable equals the simulation time. If you select Use external signal, the block generates an output pulse where the time variable equals the value from the input port, which can differ from the simulation time. So set pulse type and time as shown in the figure. 2. Amplitude The pulse amplitude. The default is 1. 3. Period The pulse period specified in seconds if the pulse type is time-based or as number of sample times if the pulse type is sample-based. The default is 10 seconds. Here the period to be set =20 millisecond because the time period of the ac wave to be generated = =1/frequency of ac wave =1/50=20ms , 4.Pulse width The duty cycle specified as the percentage of the pulse period that the signal is on if time-based or as number of sample times if sample-based. The default is 5 percent Here time delay is set as 33.33 % 5. Phase delay The delay before the pulse is generated specified in seconds if the pulse type is time-based or as number of sample times if the pulse type is sample-based. The default is 0 seconds. Values for phase delay can be obtained as follows 20ms=3600 10=20/360 600=(20/360)*60 In the figure shown above the specifications given are for pulse generator 4 PULSE GENERATOR DELAY IN DEGREE DELAY IN MILLISECONDS Pulse generator 1 0 0 Pulse generator 2 60 3.33ms Pulse generator 3 120 6.66ms Pulse generator 4 180 10ms Pulse generator 5 240 13.33ms Pulse generator 6 300 16.66ms 6. Sample time The length of the sample time for this block in seconds. This parameter appears only if the block's pulse type is sample-based. 7. Interpret vector parameters as 1-D If you select this check box and the other parameters are one-row or one-column matrices, after scalar expansion, the block outputs a 1-D signal (vector). Otherwise the output dimensionality is the same as that of the other parameters. RESULT: The simulation of 3-phase ac inverter was done using matlab and obtained the output waveforms .