---
title: "Single-phase current source inverter with AC motor"
subject: "Power Electronics"
chapter: 5
key: "semester_7/power_electronics:csi-ac-motor"
source: https://www.bctengineer.com/q/semester_7/power_electronics/csi-ac-motor
site: BCT Engineering
---

# Single-phase current source inverter with AC motor

Power Electronics · Chapter 5: Inverter

- Asked in: 2075 Asoj, 8 marks
- Video: [current source inverter | csi | current source inverter in power electronics | inverter in hindi](https://www.youtube.com/watch?v=Dg6j2GJ0CH8) — Mind of Engineer 
- Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14
- Page: https://www.bctengineer.com/q/semester_7/power_electronics/csi-ac-motor
- Whole chapter: https://www.bctengineer.com/md/semester_7/power_electronics/chapter-5

## Question

Explain the operation of a single phase current source inverter with ac motor as load.

## Short answer

For an ac motor, single-phase CSI uses auto-sequential commutation with capacitors and series diodes. Motor current is a quasi-square wave of plus or minus Id, and motor voltage is nearly sinusoidal back EMF with L di by dt spikes at commutation. The dc-link inductor gives constant current and inherent short-circuit protection.

## Answer

A single-phase current source inverter (CSI) feeding an ac motor is usually the **auto-sequential commutated inverter (ASCI)**. A large dc-link inductor makes the source a constant current $I_d$; the thyristors switch this current into the motor alternately in each direction, so the motor current is a quasi-square wave and the motor voltage is nearly sinusoidal (set by the motor's back EMF).

#### Circuit
```text
        Ld   Id
 +-----mmm----+------------+
 |            |            |
 |           T1           T3
 |            +----C1------+
 Vdc         D1           D3
 |            A--[Motor]---B
 |           D4           D2
 |            +----C2------+
 |           T4           T2
 |            |            |
 +------------+------------+
```
The capacitors C1, C2 are for commutation; the series diodes D1–D4 isolate the capacitors from the motor so they do not discharge through it.

#### Modes of operation (commutation from T1, T2 to T3, T4)
1. **Mode 1 — normal conduction:** T1, D1, motor, D2, T2 carry $I_d$ ($i_0 = +I_d$). C1 and C2 are charged with the polarity needed to turn off T1, T2.
2. **Mode 2 — thyristor turn-off:** T3 and T4 are fired. The charged capacitors appear across T1 and T2 and reverse bias them, so they turn off at once. $I_d$ now flows through T3, C1, D1, the motor, D2, C2, T4. The motor current is still $+I_d$, and the capacitors charge linearly at constant current, reversing their voltage. The circuit turn-off time is the time the capacitor voltage takes to fall to zero.
3. **Mode 3 — current transfer (overlap):** when the capacitor voltage exceeds the motor voltage, D3 and D4 become forward biased. The current shifts from D1, D2 to D3, D4 through a resonance between C and the motor leakage inductance. Motor current falls from $+I_d$ to $-I_d$.
4. **Mode 4 — reverse conduction:** D1, D2 turn off; T3, D3, motor, D4, T4 carry $-I_d$. The capacitors hold the opposite charge, ready to commutate T3, T4 in the next half cycle.

#### Waveforms
```text
 i0  +Id |_______
         |       \
       0 |--------\-------/--- t
         |         \_____/
     -Id     (finite slope at
              commutation)
 v0      |   _
         | /  \   spike   _
       0 |/----\--------/--\-- t
         |      \_____/
         ~ sinusoidal + spikes
```
- Motor current: quasi-square wave $\pm I_d$ with sloped edges during commutation.
- Motor voltage: close to the sinusoidal back EMF, with voltage spikes $L\,di/dt$ at each commutation (leakage inductance).

#### Features
- Inherent short-circuit and overload protection (current is fixed by the link).
- Regeneration is easy: reversing the dc-link voltage (controlled rectifier) returns energy to the ac supply, so four-quadrant drives are simple.
- No feedback diodes; simple, robust thyristor commutation.
- Drawbacks: torque pulsation at low speed due to square current; voltage spikes; needs a large dc inductor and a controlled rectifier; slower response.
- Used for large induction and synchronous motor drives (fans, pumps, compressors).

## Check yourself

The answer's key points as multiple-choice questions, with the correct option and why.

1. Why does the motor current in the ASCI form a quasi-square wave?
   A. A large dc-link inductor holds the source current constant at Id, and the thyristors switch it alternately in each direction
   B. The commutation capacitors clamp the motor voltage to a square wave
   C. The feedback diodes force the current to follow the motor back EMF
   D. The motor leakage inductance is very small, so current changes instantly
   Answer: A. The large Ld makes the source a constant current Id; switching it alternately gives a +/-Id quasi-square current, while the voltage follows the motor back EMF. (Key point: Constant current source)

2. What is the purpose of the series diodes D1-D4 in the auto-sequential commutated inverter?
   A. To provide a path for regeneration to the supply
   B. To isolate the commutation capacitors from the motor so they do not discharge through it
   C. To limit the dc-link current during a short circuit
   D. To act as freewheeling diodes for the dc-link inductor
   Answer: B. The series diodes isolate C1, C2 from the motor so that the capacitors keep their charge for the next commutation. (Key point: Role of series diodes and capacitors)

3. How are T1 and T2 turned off when T3 and T4 are fired?
   A. The dc-link current falls to zero naturally
   B. A gate reverse pulse is applied to T1 and T2
   C. The charged capacitors appear across T1 and T2 and reverse bias them
   D. The motor back EMF exceeds the supply and reverse biases them
   Answer: C. Firing T3, T4 places the charged commutation capacitors across T1, T2, reverse biasing them so they turn off at once. (Key point: Thyristor turn-off (Mode 2))

4. During Mode 3 the motor current changes from +Id to -Id. What causes this transfer?
   A. Resonance between C and the motor leakage inductance when D3 and D4 become forward biased
   B. The dc-link inductor discharging into the motor
   C. T1 and T2 being fired again
   D. The motor back EMF reversing
   Answer: A. When the capacitor voltage exceeds the motor voltage, D3, D4 conduct and current shifts from D1, D2 via a C-leakage inductance resonance. (Key point: Current transfer (Mode 3))

5. Which is an advantage of the current source inverter drive with an ac motor?
   A. No voltage spikes at commutation
   B. It needs no dc inductor
   C. Torque is perfectly smooth at low speed
   D. Inherent short-circuit protection and easy regeneration
   Answer: D. The current is fixed by the link, giving inherent short-circuit protection, and reversing the dc-link voltage returns energy to the supply. (Key point: Features of CSI drive)

## Related in Power Electronics

- [Single-phase inverter with AC motor load](https://www.bctengineer.com/question.md?key=semester_7%2Fpower_electronics%3Asingle-phase-inverter-ac-motor) — Power Electronics, chapter 5, asked 4×
- [Single-phase current source inverter](https://www.bctengineer.com/question.md?key=semester_7%2Fpower_electronics%3Asingle-phase-csi) — Power Electronics, chapter 5
- [Single-phase full-wave inverter with 5 Ω load](https://www.bctengineer.com/question.md?key=semester_7%2Fpower_electronics%3Afull-wave-inverter-5ohm) — Power Electronics, chapter 5
- [Single-phase AC voltage controller with R load](https://www.bctengineer.com/question.md?key=semester_7%2Fpower_electronics%3Aacvc-r-load-rms) — Power Electronics, chapter 6, asked 6×
- [Single-phase diode bridge with constant load current](https://www.bctengineer.com/question.md?key=semester_7%2Fpower_electronics%3Adiode-bridge-rl-load-numerical) — Power Electronics, chapter 2
- [Single-phase inverter fundamental output voltage](https://www.bctengineer.com/question.md?key=semester_7%2Fpower_electronics%3Asingle-phase-inverter-r-fundamental) — Power Electronics, chapter 5

## Related in other subjects

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- [Input current, pf and torque of single phase IM](https://www.bctengineer.com/question.md?key=semester_5%2Felectric_machines_ii%3Asingle-phase-im-input-torque) — Electric Machines II, chapter 3
- [Chopper definition; single-phase half bridge inverter](https://www.bctengineer.com/question.md?key=semester_4%2Fadvanced_electronics%3Achopper-half-bridge-inverter) — Advanced Electronics, chapter 7
- [P and Q of a 100 V single-phase source](https://www.bctengineer.com/question.md?key=semester_4%2Fpower_system_analysis_i%3Asingle-phase-source-power-100v) — Power System Analysis I, chapter 3
