ElectroHub

V/f speed control of a three-phase induction motor

An induction motor's speed is set by the supply frequency, so controlling speed means controlling frequency — but reducing frequency alone drives the machine into saturation, because flux is proportional to voltage divided by frequency. A variable frequency drive therefore reduces voltage in proportion to frequency, holding the ratio constant so the flux stays where the designer intended. This project builds that drive: a rectifier and DC link, a three-phase inverter switched with sinusoidal PWM, a V/f profile with a low-frequency voltage boost, and a Simulink model validated against the hardware waveforms.

Electrical & Electronics (EEE)Machines & drivesPower electronics & convertersSimulation + hardware prototype
Rs 16,943 to Rs 42,613
All-in cost
7 weeks
With 3 of you
B.E. final year
Usually taken as
11
Parts on the list

What it will really cost

Not just the parts. Teams budget from a component list, then run out in week six on wire, connectors and the driver board they destroyed. These are the lines that catch them.

Split betweenstudents
LineCost
Components and materials
From the bill of materials
Rs 12,750 to Rs 31,900
Spares and replacements
15 % — you will destroy something
Rs 1,913 to Rs 4,785
Consumables and hardware
Wire, connectors, headers, screws, heatshrink
Rs 1,530 to Rs 3,828
PCB fabrication
Rs 350 to Rs 900
Report, printing and binding
Two or three bound copies, plots and the plagiarism check
Rs 400 to Rs 1,200
TotalRs 16,943 to Rs 42,613
Each, split 3 waysRs 5,648 to Rs 14,204

Indicative bands last checked in August 2026 — a guide, not a quotation. Prices move and vary by seller, and anything you can borrow from the lab comes straight off the total. The 7 week figure assumes 16 person-weeks of work shared between 3; students past 4 add coordination rather than output, so the estimate stops improving there.

Block diagram

comparecurrentgate signalsThree-phase supplyDiode rectifierPre-charge resistor and bypassDC link, 587 V, with bleed resistorsIsolated DC link sensingThree-phase IGBT inverterController — SPWM and V/f profileInduction motor and loadPhase current sensorsSimulink model, same profile
  • Supply / source
  • Sensing
  • Control
  • Power stage
  • Load / output
  • Display & logging
  • Feedback path

The same chain in words

  1. 1Three-phase or single-phase supply into a diode rectifier
  2. 2DC link with bulk capacitance and a pre-charge resistor with bypass
  3. 3Three-phase IGBT or MOSFET inverter bridge, six devices
  4. 4Isolated gate drivers with dead time
  5. 5Microcontroller or DSP generating three-phase SPWM with the V/f profile
  6. 6Voltage and current sensing on the DC link and on two output phases
  7. 7Three-phase induction motor with a loading arrangement
  8. 8Simulink model running the same profile for comparison

How it works

The rectifier and capacitor produce a stiff DC link. A pre-charge resistor limits the inrush into that capacitor at power-up, and is bypassed by a contactor once it is charged.

The controller generates three sinusoidal references 120 degrees apart at the commanded frequency, and compares each against a triangular carrier to produce the switching pattern for the three legs.

The amplitude of those references is scaled with frequency so that volts per hertz stays constant, which keeps the airgap flux constant and the motor's torque capability unchanged across the speed range.

Below a few hertz the stator resistance drop is a significant fraction of the applied voltage, so a fixed boost is added to the profile, otherwise the flux collapses and the motor cannot produce starting torque.

Above base frequency the voltage cannot rise any further, so volts per hertz falls, flux weakens and available torque falls with it. That is the field weakening region and it is a limit, not a fault.

Design calculations

This is the chapter that separates an engineering project from an assembly job. Every value below carries the formula that produced it and the assumptions it rests on — check them against your own ratings before you use them, because your motor is not this motor.

V/f ratio

8.3 V per Hz for a 415 V, 50 Hz motor

V/f = rated voltage / rated frequency

415 / 50 = 8.3. At 25 Hz the drive therefore applies 207.5 V, at 10 Hz it applies 83 V, and so on down the profile.

Synchronous speed at reduced frequency

1500 rpm at 50 Hz falls to 750 rpm at 25 Hz for a 4 pole machine

Ns = 120 x f / P

120 x 50 / 4 = 1500. Actual shaft speed is lower by the slip, which for a small machine is a few percent.

Low-frequency boost

About 10 V of boost at 5 Hz, on top of the 41.5 V the linear profile gives

Add the estimated stator IR drop to the linear profile

At 5 Hz the linear profile applies only 41.5 V, and several volts of that are dropped across the stator resistance rather than producing flux. Without boost the motor will not start under load; with too much boost it saturates and overheats at low speed.

DC link voltage

587 V from a 415 V supply

Vdc = sqrt(2) x V line for a three-phase rectifier

1.414 x 415 = 587 V. Every device in the inverter must be rated well above this, and the DC link capacitors have to be rated for it continuously plus the ripple.

Maximum output with SPWM

359 V line-to-line RMS from a 587 V link

Peak phase fundamental = m x Vdc / 2, with m at most 1 in the linear range

At m = 1 the peak phase voltage is 293.5 V, so phase RMS is 207.5 V and line RMS is 359 V. The drive cannot reach the motor's rated 415 V with plain SPWM in its linear range — which is the point of the next line.

Why SVPWM is used instead

415 V line-to-line RMS from the same link, 15.5 percent more

Peak phase = Vdc / sqrt(3) with space vector modulation

587 / 1.732 = 339 V peak phase, which is 240 V phase RMS and 415 V line RMS. Space vector modulation injects a zero sequence component that lets the fundamental go higher for the same DC link, at no extra hardware cost. It is the single strongest technical point available in this project.

Bill of materials

ItemQtyUnit cost
IGBT or MOSFET module
Three-phase bridge, 1200 V, 15 A, or six discrete devices
1Rs 1,800 to Rs 5,000
Isolated gate drivers
Optically isolated drivers with dead-time and desaturation protection
1Rs 900 to Rs 2,600
Controller board
STM32 or a DSP board with three-phase complementary PWM
1Rs 900 to Rs 3,000
Rectifier and DC link
Three-phase bridge rectifier, 470 uF 900 V DC link capacitors
1Rs 1,200 to Rs 3,200
Pre-charge circuit
Power resistor with a bypass contactor and timer
1Rs 350 to Rs 900
Current sensors
Hall effect sensors on two output phases
2Rs 350 to Rs 900
Isolated voltage sensing
DC link voltage divider with an isolation amplifier
1Rs 400 to Rs 1,100
Heatsink and fan
Extruded heatsink with forced air
1Rs 500 to Rs 1,500
Three-phase motor
0.75 kW (1 HP), 415 V, 4 pole
Normally borrowed from the machines lab.
1Rs 4,500 to Rs 9,000
MCB, enclosure, wiring
Four pole MCB, metal panel, ferrules, shielded signal cable
1Rs 1,500 to Rs 3,800
MATLAB with Simulink
Student or institutional licence
Use the college licence — do not budget for this.
1

Specifications are written as ratings rather than brands, so any equivalent part works. Where a line says to borrow from the lab, do — it is usually the largest number on the page, and the total drops to Rs 12,443 at the low end without them.

What you need to be able to do

Skills

  • Embedded C / Arduino
  • MATLAB / Simulink
  • PCB design & etching
  • Mains & 3-phase wiring

None of these blocks you — they are learnable inside a semester. Each one you do not have costs a couple of weeks, so count them into your plan.

Equipment and access

  • Soldering stationrequired
  • CRO / DSOrequired
  • Power electronics labrequired
  • Machines lab (motors, loading)required
  • MATLAB / Simulink licence

Anything marked required is a blocker, not a difficulty. Arrange the access before you commit to the project, not after.

What goes wrong

  • This is the most demanding project in the catalogue and the one most likely to be abandoned half-built. A 587 V DC link stores enough energy to be lethal and stays charged after the supply is removed. Do not attempt it without a supervising guide, bleed resistors on the link and a documented discharge procedure.
  • Build and validate the Simulink model first, then the hardware. Teams that build hardware first spend the whole semester debugging and have no results chapter; teams that simulate first know what the waveforms should look like before they power anything.
  • Dead time is not optional and it is not free. Too little and the leg shoots through; too much and the output voltage is distorted at low modulation, which shows up as torque ripple. Measure it on a CRO and report the value.
  • Buy a gate driver with desaturation detection or accept that the first mistake destroys the bridge. This is the component not to economise on.

How to make it a stronger project

Use these when your guide says the scope is too small, or when you want something in the results chapter that nobody else in your batch will have.

  • Implement space vector modulation as well as sinusoidal PWM and measure the difference in maximum output voltage and in output current THD.
  • Add slip compensation so that speed holds under load without a speed sensor, and measure the improvement in speed regulation.
  • Take the project to sensorless field oriented control, which is the natural next step and firmly a strong final-year contribution.

Writing the report

The structure below is what a project report is marked against, with the mistake that costs marks in each chapter. There is no template to download and there will not be one: the writing is your work, and a site that did it for you would be helping you cheat rather than helping you pass.

A final year report is normally 60 to 90 pages with a substantial literature survey, and many departments expect a paper submission alongside it.

The full report guide — front matter, conventions and page counts

Abstract

One paragraph covering what the problem is, what you built, and what the result was. Written last, even though it appears first.

Loses marks: Describing the problem and the method but never stating a result. If there is no number in your abstract, it is not finished.

Introduction

Why the problem matters, the context it sits in, and a clear statement of the objectives your project set out to meet.

Loses marks: Objectives written so vaguely that nobody can tell at the end whether they were met. Write objectives you can tick off in the conclusion.

Literature survey

What has already been done, what each approach achieved, and the specific gap your work addresses.

Loses marks: A list of paper summaries with no comparison and no gap. The survey exists to justify your design choice, so end it by saying what you chose and why.

Methodology and block diagram

The system as a whole: the block diagram, what each block does, and the signal or power path between them.

Loses marks: A block diagram copied from a datasheet or another report. Draw yours to match what you actually built, including the parts that are inconvenient.

Design and calculations

Every component value and rating, with the formula, the assumptions and the arithmetic that produced it. This is the chapter that distinguishes an engineering project from an assembly job.

Loses marks: Component values with no justification. If a resistor is 10 kOhm, the report must say why it is not 1 kOhm.

Hardware and software implementation

The circuit as built, the PCB or wiring, the flowchart, and the parts of the code that carry the actual logic.

Loses marks: Twenty pages of pasted source listing. Include the flowchart and the few functions that matter, and put the full listing in an appendix.

Results and discussion

What you measured, in tables and graphs, compared against what you predicted in the design chapter — including where they disagreed.

Loses marks: Photographs of the working model presented as results. A photograph is evidence that it exists, not evidence that it works. Results are measurements.

Conclusion and future scope

Whether each objective was met, what the measured performance was, and what the honest next step would be.

Loses marks: Future scope written as a wish list of unrelated features. It should follow from a limitation you actually hit.

References and appendices

Every source in a consistent style, plus datasheets, full code listings and the complete bill of materials.

Loses marks: Citing a blog or a video where a datasheet or a standard exists. Cite the primary source for anything you relied on.

Viva questions with answers

The demonstration is half the assessment. These are the questions this project invites, and the answers are written the way you would give them out loud.

Why must voltage be reduced along with frequency?

Because the airgap flux is proportional to voltage divided by frequency. If frequency is reduced at constant voltage, the flux rises, the magnetic circuit saturates, the magnetising current becomes very large and the machine overheats. Holding volts per hertz constant keeps the flux at its design value across the whole speed range.

What happens above base speed?

The drive cannot produce more voltage than the DC link allows, so above rated frequency the voltage stays fixed while frequency keeps rising. Volts per hertz therefore falls, flux weakens, and the available torque falls roughly inversely with speed. Power stays approximately constant, which is why it is called the constant power or field weakening region.

Why is a low-frequency boost needed?

The V/f profile assumes that the applied voltage all appears across the magnetising branch, but part of it is dropped across the stator resistance. At 50 Hz that drop is a negligible fraction of 415 V, but at 5 Hz the profile applies only about 41 V and the same resistive drop is now a large fraction of it. Adding a fixed boost compensates for the drop so the flux is maintained and the motor can develop starting torque.

Why does SVPWM give a higher output voltage than SPWM for the same DC link?

Because in a three-wire motor the neutral is not connected, so any common-mode component added to all three phase references cancels in the line-to-line voltages that actually drive the machine. Space vector modulation exploits this by effectively adding a third-harmonic zero-sequence component, which lowers the peak of each reference and allows the fundamental to be increased by about 15.5 percent before the modulator saturates.

What is the purpose of the pre-charge resistor?

At power-up the DC link capacitor is empty, so it looks like a short circuit to the rectifier and would draw an enormous inrush current, damaging the diodes and welding contactor contacts. The pre-charge resistor limits that current while the capacitor fills, and once the link is near full voltage a contactor shorts the resistor out so it does not carry the running current.

Why is dead time necessary and what does it cost?

The two devices in a leg cannot switch instantaneously, so if one is commanded on at the moment the other is commanded off, both conduct briefly and short the DC link through themselves. Dead time is a deliberate gap where both are off. Its cost is a small error in the output voltage each switching cycle, which appears as low-order harmonic distortion and torque ripple, worst at low output voltage.

Tools for the calculations above

Normally taken as a B.E. final year project (7th/8th sem) project. If yours is a different course, the extensions above scope it up and the simpler half of the design scopes it down — the arithmetic does not change. Back to all projects.