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Three-Phase Inverter Space Vector Modulation (SVPWM) Modulation Index & Sector Calculator

Easily calculate and compute three-phase inverter space vector modulation (svpwm) modulation index & sector calculator with accurate equations, live formulas, and expert guidance.

Total DC link bus voltage.

Fundamental line-to-neutral RMS AC voltage.

Desired fundamental AC output frequency.

Inverter switching frequency.

Angle of voltage reference vector in stationary alpha-beta frame (0° to 360°).

Calculated Result
0.87

Modulation Index (m)

Modulation Index (m)

0.87

Modulation Index M

0.867

Modulation Regime

Linear Modulation

Current Sector

1

Active Vector Dwell Time T1 Us

49.71

0.87

Calculation Breakdown

  1. Applied FormulaCalculates the space vector PWM (SVPWM) modulation index, hexagon sector location, and vector dwell switching times (T1, T2, T0) for 3-phase motor drives.V_{ref} = \sqrt{v_\alpha^2 + v_\beta^2}, \quad m = \frac{V_{ref}}{V_{dc}/\sqrt{3}}, \quad T_0 = T_s - T_1 - T_2

Three-Phase SVPWM Inverter Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Modulation Index (m)

What Is the Three-Phase Inverter Space Vector Modulation (SVPWM) Modulation Index & Sector Calculator?

This tool computes three-phase inverter space vector modulation (svpwm) modulation index & sector calculator with high precision arithmetic.

How Does the Three-Phase Inverter Space Vector Modulation (SVPWM) Modulation Index & Sector Calculator Work?

Calculates the space vector PWM (SVPWM) modulation index, hexagon sector location, and vector dwell switching times (T1, T2, T0) for 3-phase motor drives.

Three-Phase Inverter Space Vector Modulation (SVPWM) Modulation Index & Sector Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Vref=vα2+vβ2,m=VrefVdc/3,T0=Ts−T1−T2V_{ref} = \sqrt{v_\alpha^2 + v_\beta^2}, \quad m = \frac{V_{ref}}{V_{dc}/\sqrt{3}}, \quad T_0 = T_s - T_1 - T_2

Calculates the space vector PWM (SVPWM) modulation index, hexagon sector location, and vector dwell switching times (T1, T2, T0) for 3-phase motor drives.

How to Use the Three-Phase Inverter Space Vector Modulation (SVPWM) Modulation Index & Sector Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Three-Phase Inverter Space Vector Modulation (SVPWM) Modulation Index & Sector Calculator Example

Input Values:

dcBusVoltageVdc:650
desiredPhaseVoltageRms:230
inverterOutputFrequencyHz:50
switchingFrequencyKhz:10
referenceAngleThetaDeg:25
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required .

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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