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INVERTERS Definition An inverter converts d.c. to a.c. An inverter is an electronic device, which the normal direction of power is from a d.c. source to an a.c. load. Invariably it is necessary for a thyristor inverter to be forced commutated unless the load happens to be a leading power factor. Force Commutation I commutation Commutation circuit V d.c. load Inverter grade thyristors turn off in 6-8s whereas ordinary thyristors turn off in 50-100s. Ordinary thyristors are quite adequate for rectifiers and inverters working with an ac supply of 50 Hz, however with an inverter running at 2 kHz it is vital that inverter grade thyristors are used in order to reduce switching losses, i.e. increase the efficiency of the power conversion stage. The turn off process itself is concerned with obtaining a current, which is able to pass in the reverse direction through the thyristor such that the anode current falls below the holding current for the required period of time. During this time minority charge carriers have to be cleared away by recombination with and diffusion process before the device can block reapplied forward volts. The time from the instant the anode current passes through zero to the instant it is capable of blocking reapplied volts is defined as the turn-off time. Single-Phase Bridge Inverters D1 TH1 TH3 A D3 The diodes are necessary for free-wheel paths for inductive loads B load D2 TH2 TH4 D4 1 A simplified diagrammatic version A load B The sketch shown is a single-phase bridge inverter; the gating and circuits have been omitted for clarity. The circuit can be divided into two sections TH1 and TH4, TH3 the load and TH2. When TH1 and TH4 are gated, current passes through the load from A to B, when TH3 and TH2 are gated current passes from b to A. In this way terminal A is alternatively connect to the positive and negative terminals of the battery, and likewise for terminal B. If the time taken to switch the thyristors on and off is negligible and the volt drop across each thyristor is zero in the forward direction the following waveforms will occur. Voltage Waveforms For A Single-Phase Inverter VA –N Vdc Th1 and TH4 on VB –N Vdc Th1 and TH4 on Th3 and TH2 on VAB = VAN -VBN VAB Vdc Current Waveforms (a) Resistive Load IR 2 (b) Inductive Load IL If the load is resistive then the output current will be the same shape as the voltage. If the load is inductive, i.e. an induction motor then the load current will lag the supply voltage. The output voltage is a square wave of constant magnitude and maybe produced by varying frequencies by control of the gate and commutation circuits. If a sinusoidal ac waveform is required in preference to a square wave this can be achieved by the use of appropriate filters, however this is very expensive. 3 Phase Inverters TH1 TH3 TH5 TH2 TH6 TH4 a c b 1 3 5 4 6 2 c a R R R 3 Vdc 3 o a b Vdc R Step 1 o 2Vdc 2R 3 3 b c 3 1 3 5 4 6 2 a 2Vdc R 3 Vdc a o b R Step 2 o 2R 3 Vdc R b R 3 3 c c 3 1 5 b 6 4 a 2 R Vdc R R 3 3 o a b Vdc 2Vdc R Step 3 o 2R 3 3 c c 1 3 5 6 2 1,2,3,4,5 & 6 represent TH1, TH2, TH3, TH4, TH5, & TH6. b 4 2Vdc R 3 2R 3 o a b Vdc R Step 4 o c Vdc R R 3 3 a c 4 Vao 2.5 2 1.5 1 0.5 0 -0.5 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 -1 -1.5 -2 -2.5 2.5 2 Vbo 1.5 2.5 21 0.5 1.5 10 -0.5 0.5 0 -1 0 -1.5 0 -0.5 1 2 3 4 5 6 7 8 -2 -1 -1.5 -2.5 -2 -2.5 2.5 Vab= 2Vao - Vbo 2.5 1.5 2 1 1.5 0.5 1 0 0.5 -0.5 0 1 2 3 4 5 6 7 8 0 -1 -0.5 0 1 2 3 4 5 6 7 8 -1.5 -1 -2 -1.5 -2.5 -2 -2.5 5 Inverters for providing power at variable frequencies of a.c. motor drives are usually threef phase inverters, (speed of an a.c. motor = ), cyclo-converters may also be used; pole pairs however they have a limited frequency range. Like the single-phase inverter the three phase takes the form of an a.c. supply with a rectifier or thyristor bridge or a d.c voltage controller. The pattern in which the thyristors are turned on and off is fixed in the electronic control, this pattern syntheses the desired three phase waveforms as shown. Sequence 1 1 2 3 2 2 3 4 3 3 4 5 4 4 5 6 5 5 6 1 6 6 1 2 The manner in which TH1 is turned off and TH4 is turned on is part of the commutation process and involves components which have not been shown. The same sequence occurs for TH3 and TH6 and TH5 and TH2. The output voltage of each stage (a), (b) and (c) with reference to the neutral point O, can be obtained from the switching diagrams above. These line to neutral voltages are called six step waveforms and approximate to a sine wave while the line voltages are 120o apart having positive and negative pulses. Cyclo-convetors AC to AC – Single-Phase TH1 load TH2 E TH3 TH4 The manner in which TH1 is turned off and TH4 is turned on is part of the commutation process and involves components which have not been shown. The same sequence occurs for 6 TH3 and TH6 and TH5 and TH2. The output voltage of each stage (a), (b) and (c) with reference to the neutral point O, can be obtained from the switching diagrams above. These line to neutral voltages are called six step waveforms and approximate to a sine wave while the line voltages are 120o apart having positive and negative pulses. Cycloconvetors AC to AC – Single-Phase TH1 load TH2 E TH3 TH4 The cycloconvertor is a means of changing the frequency of the alternating supply using controlled rectifiers; this is achieved by ‘steering’ the waveform in the required direction to produce a lower frequency ac voltage on the load. If TH1 and TH3 are fired as the supply alternates from positive to negative then the voltage across the load is in positive direction (these two thyristors acting like a single-phase centre tapped positive rectifier). If TH2 and TH4 are fired as the supply alternates from positive to negative then the voltage on the load is negative (TH2 and TH4 act like a single-phase centre tapped negative rectifier). It can be seen that it is possible to obtain frequencies lower than the fundamental frequency of the supply, however it is not possible to obtain frequencies higher than the supply frequency. It should be noted the frequencies obtained are multiples of the periodic time of the fundamental. 1 20ms f 1 1 50 Hz 20x10 3 0.5 0 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 -0.5 -1 7 1 TH3 TH1 TH3 Phase control to give some sort of semblance of a sine wave. 0.5 0 -0.5 -1 TH4 TH2 TH2 1 0.5 0 30ms f 1 33.33Hz -0.5 -1 Burst Fire control. 1.5 1 0.5 0 100ms f 1 10 Hz 100x10 3 -0.5 -1 -1.5 1.5 60ms 1 0.5 f 1 16.66 Hz 60x10 3 0 -0.5 -1 -1.5 8 1.5 40ms 1 0.5 f 0 1 25Hz 40x10 3 -0.5 -1 -1.5 Pulse Width Modulation (P.W.M) of A.C. Motors The D.C. Link convertor. The figure below illustrates the principle of a D.C.Link Convertor. The speed control signal is applied to a pulse generator whose output is used to control a rectifier and invertor. The output of the rectifier is smoothed before being applied to the invertor. The invertor gives a three-phase output. The line-to-line output of the invertor is a square wave since it is derived from a switched direct voltage. Variable D.C. Voltage Three-phase constant frequency supply Controlled Rectifier Invertor Three-phase variable frequency supply D.C. Link Speed Control signal A simplified single-phase p.w.m. circuit is shown below. Diagonally opposite pairs of thyristors are triggered at any one time; TH1 and TH2 are triggered at one instant and (TH3 and TH4 are switched off). When TH3 and TH4 are triggered, TH1 and TH2 are switched off. The voltage that appears across the ‘A.C.’ load depends on the length of time one pair of thyristors conduct. If the conduction period is short, the mean output voltage is high. The output voltage waveform can be shaped by varying or modulating the width of the voltage pulses applied to the load. During the time interval PQ in thyristors TH1 and TH2 conduct, making point X in the diagram positive with respect to Y; as the pulse is small, the mean output voltage produced by the pulse is small. In the interval RS thyristors TH1 and TH2 conduct for a longer period 9 and of time, increasing the mean output, and so on. Thus the positive half-cycle of the waveform is generated by firing TH1 and TH2 for short or long periods. TH1 DC supply from rectifier D TH3 Load TH4 TH2 The negative half cycle is generated by firing thyristors TH3 and TH4 for varying time periods. In order to allow the control of alternating current at power factors other than unity it is necessary to provide by pass circuits across reverse biased thyristors. This is achieved by connecting a diode in inverse parallel across each thyristor. 1 0.5 0 PQ R S -0.5 -1 10