# Current Source (Three-Phase)

Ideal three-phase current source

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• Simscape / Electrical / Sources

• ## Description

The Current Source (Three-Phase) block models an ideal three-phase current source that maintains sinusoidal currents of the specified magnitude through its terminals, independent of the voltage across the source.

The output current is defined by the following equations:

`${I}_{0}=\sqrt{2}{i}_{phase_rms}$`
`${i}_{a}={I}_{0}\mathrm{sin}\left(2\pi ft+\phi \right)$`
`${i}_{b}={I}_{0}\mathrm{sin}\left(2\pi ft+\phi -{120}^{\circ }\right)$`
`${i}_{c}={I}_{0}\mathrm{sin}\left(2\pi ft+\phi +{120}^{\circ }\right),$`

where:

• I0 is the peak phase current.

• iphase_rms is the RMS phase current.

• ia, ib, ic are the respective phase currents.

• f is the frequency.

• φ is the phase shift.

• t is the time.

The arrow indicates the positive direction of the current flow. The source has a wye configuration, and port n provides a connection to the center of the wye.

## Ports

### Conserving

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Expandable three-phase port associated with the three phases, a, b, and c.

Electrical conserving port associated with the center of the wye

## Parameters

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RMS phase current.

Phase shift, in angular units.

Current frequency, specified in Hz or units directly convertible to Hz (where Hz is defined as 1/s). For example, `kHz` and `MHz` are valid units, but `rad/s` is not.