3-phase AC source

Balanced three-phase sinusoidal voltages from plug − to plug +; a Star point on plug − gives the neutral.

3-phase
Modelica Standard Library
2 ports
2 parameters

Block3-phase AC sourceKindthreePhaseSourceLibrary3-phase

Description

Three sinusoidal voltage sources, one per phase, forming a balanced positive-sequence (a, b, c) system. Phase k acts between phase k of plug_p and phase k of plug_n.

plug_n is a three-phase plug, not a single neutral pin. Connect a Star point to it to make a wye source with a neutral.

Example

AC machines on the mains Induction, permanent-magnet, and reluctance machines started straight from a 50 Hz supply.

100 V rms IMStar IM supplyGround IM supplyStar IMGround IMInductionSpeed IM112.3 V rms PMSMStar PMSM supplyGround PMSM supplyStar PMSMGround PMSMPM synchronousSpeed PMSM100 V rms SynRMStar SynRM supplyGround SynRM supplyStar SynRMGround SynRMReluctanceSpeed SynRM

In Gradara, select a 3-phase AC source block and press F1, then choose Open example. It opens as a new model in My models, ready to run.

Also in this example:Ground Speed sensor (ideal)Induction machine PMSM (MSL)Reluctance machine Star point

Ports

Conserving terminals 2

abcplug_p3-phase

Three-phase output plug (phases a, b, c).
abc−plug_n3-phase

Three-phase return plug: the negative terminal of each phase source.

Parameters

Phase amplitudeV325 V

Peak amplitude of each phase voltage, in volts (not rms). The default 325 V is 230 V rms phase, 400 V line to line.
Frequencyf50 Hz

≥ 0

Frequency, in Hz. 0 or more.

Equations

Modelica

va = V · sin(2π · f · time)
vb = V · sin(2π · f · time − 2π/3)
vc = V · sin(2π · f · time − 4π/3)
vk = plug_p.k.v − plug_n.k.v

Implementation

Modelica Standard Library 4.1.0Modelica.Electrical.Polyphase.Sources.SineVoltage

MSL documentation

Assumptions and limitations

Ideal sources: no internal impedance, harmonics, or imbalance. Phase angle and offset are fixed at 0.

Tips

Connect plug_n to a Star point and ground the star’s N pin.