Power (3ph, Phasor)

Compute three-phase active and reactive powers using three-phase voltage and current phasors

Library

Simscape / Electrical / Specialized Power Systems / Sensors and Measurements

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Description

The Power (3ph, Phasor) block outputs total active power P and reactive power Q of a three-phase voltage-current phasor signal pair. P and Q are computed as follows:

$$P+jQ=\frac{1}{2}\left(Va\times I{a}^{\ast }+Vb\times I{b}^{\ast }+Vc\times I{c}^{\ast }\right)$$

Ia^*, Ib^*, Ic^* are the complex conjugates of Ia, Ib, and Ic.

The figure shows sign conventions:

Inputs and Outputs

Vabc

The three-phase phasor (three complex signals) voltage signal, in volts peak.

Iabc

The three-phase phasor (three complex signals) current signal, in amperes peak.

P

Returns the total active power, in watts.

Q

Returns the total active power, in vars.

Characteristics

Direct Feedthrough	Yes
Dimensionalized	No

Examples

The power_PhasorPowerMeasurements example shows the use of the Power (3ph, Phasor) block.

Version History

Introduced in R2013a