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Three-phase bridge inverter, 120° conduction

Short answer

In 120° conduction mode, each thyristor conducts for 120° and only two thyristors (one upper, one lower in different legs) conduct at any time. Firing sequence is T1 to T6 at 60° intervals, giving phase voltages +Vdc/2, 0, -Vdc/2 and six-step line voltages with levels Vdc, Vdc/2, -Vdc/2, -Vdc.

Discuss the principle of working of a three-phase bridge inverter with an appropriate circuit diagram. Draw phase and line voltage waveforms on the assumption that each thyristor conducts for 120° and the resistive load is star-connected. The sequence of firing of various SCRs should also be indicated in the diagram.

A three-phase bridge inverter converts dc into three-phase ac using six thyristors (with commutation circuits) or self-commutated switches, and six feedback diodes. In the 120° conduction mode each thyristor conducts for 120°, only two thyristors (one upper and one lower, in different legs) conduct at any time, and a new thyristor is fired every 60° in the order T1, T2, T3, T4, T5, T6.

Circuit

     +-----+--------+--------+
     |     |        |        |
     |    T1 D1    T3 D3    T5 D5
    Vdc    |        |        |
     |     +--a     +--b     +--c
     |     |        |        |
     |    T4 D4    T6 D6    T2 D2
     |     |        |        |
     +-----+--------+--------+
      a, b, c -> star load (R per phase)

T1, T3, T5 connect phases a, b, c to the positive bus; T4, T6, T2 connect them to the negative bus. The numbering gives the firing sequence T1 → T2 → … → T6 at 60° intervals.

Principle of working

  • In each 60° interval, one phase is connected to the positive bus, one to the negative bus, and the third is left open (floating).
  • The two connected phases are in series across VdcV_{dc}, so each carries Vdc/(2R)V_{dc}/(2R), and their phase voltages are +Vdc/2+V_{dc}/2 and −Vdc/2-V_{dc}/2; the open phase has 0 V (resistive load).
  • There is a 60° gap between the turn-off of the upper switch and the turn-on of the lower switch of the same leg, so the risk of shoot-through is low.
Modeωt\omega tConductingvanv_{an}vbnv_{bn}vcnv_{cn}vabv_{ab}
10–60°T6, T1V/2V/2−V/2-V/20VV
260–120°T1, T2V/2V/20−V/2-V/2V/2V/2
3120–180°T2, T30V/2V/2−V/2-V/2−V/2-V/2
4180–240°T3, T4−V/2-V/2V/2V/20−V-V
5240–300°T4, T5−V/2-V/20V/2V/2−V/2-V/2
6300–360°T5, T60−V/2-V/2V/2V/2V/2V/2

(V=VdcV = V_{dc}.)

Firing sequence and waveforms

 wt       0    60   120  180  240  300  360
 T1       ##########
 T2            ##########
 T3                 ##########
 T4                      ##########
 T5                           ##########
 T6       #####                    #####
 van  V/2 __________
        0           |____           ____
     -V/2                |_________|
 vbn  V/2            _________
        0       ____|         |____
     -V/2 _____|                   |____
 vcn  V/2                      _________
        0 _____           ____|
     -V/2      |_________|
 vab    V _____
      V/2      |____                ____
        0           |              |
     -V/2           |____      ____|
       -V                |____|
  • Phase voltage vanv_{an}: +V/2+V/2 for 120°, 0 for 60°, −V/2-V/2 for 120°, 0 for 60° (quasi-square). vbnv_{bn} and vcnv_{cn} lag it by 120° and 240°.
  • Line voltage vab=van−vbnv_{ab} = v_{an} - v_{bn}: six-step wave with levels VV, V/2V/2, −V/2-V/2, −V-V, −V/2-V/2, V/2V/2.

Main results

Vph,rms=Vdc6=0.408 Vdc,VL,rms=Vdc2=0.707 VdcV^an1=4π⋅Vdc2cos⁡30∘=3 Vdcπ=0.551 Vdc\begin{aligned} V_{ph,rms} &= \frac{V_{dc}}{\sqrt6} = 0.408\,V_{dc}, \qquad V_{L,rms} = \frac{V_{dc}}{\sqrt2} = 0.707\,V_{dc} \\ \hat V_{an1} &= \frac{4}{\pi}\cdot\frac{V_{dc}}{2}\cos30^\circ = \frac{\sqrt3\,V_{dc}}{\pi} = 0.551\,V_{dc} \end{aligned}

Only harmonics of order 6k±16k\pm1 are present. Compared with the 180° mode, switch utilisation and output voltage are lower, and with an inductive load the voltage of the open phase is not zero (it depends on the load), which is a drawback.

✓ Answer checked by Claude Opus 5.5 (high effort)

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