3-Phase Sine Voltage Generator

Generate balanced three-phase sinusoidal signals

Since R2020a

Libraries:
Motor Control Blockset / Controls / Math Transforms

Description

The 3-Phase Sine Voltage Generator block generates balanced, three-phase sinusoidal signals using signal amplitude and position inputs.

The block uses the lookup table approach. This approach results in optimized code-execution when used with the model settings and configuration adopted by the examples shipped in Motor Control Blockset™. You can specify the number of lookup table points in the Number of data points for lookup table parameter.

The following image shows a plot of position input and three-phase sinusoidal output signals against time.

Equations

The following equations describe how the block computes balanced, three-phase sinusoidal signals.

$V_{a} = A \times \sin ω t$
$V_{b} = A \times \sin (ω t - \frac{2 π}{3})$
$V_{c} = A \times \sin (ω t - \frac{4 π}{3})$

where:

$A$ is the reference voltage amplitude (volts).
$ω$ is the frequency of the reference voltage position input signal (θ_e) (radians/ sec).
$t$ is the time (seconds).

Examples

Run 3-Phase AC Motors in Open-Loop Control and Calibrate ADC Offset

Uses open-loop control (also known as scalar control or Volts/Hz control) to run a motor. This technique varies the stator voltage and frequency to control the rotor speed without using any feedback from the motor. You can use this technique to check the integrity of the hardware connections. A constant speed application of open-loop control uses a fixed-frequency motor power supply. An adjustable speed application of open-loop control needs a variable-frequency power supply to control the rotor speed. To ensure a constant stator magnetic flux, keep the supply voltage amplitude proportional to its frequency.

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