modelVariableSimpleTransformer
Extends from ComplexLib.SinglePhase.Interfaces.TwoPort (Component having four ComplexPins p1, p2, n1, n2 (two ports) and using current phasor balance).
Information
The VariableSimpleTransformer component is a two-port with variable parameters consisting of two ideal inductors (having no resistance). Between these inductors, there exists a non-ideal coupling. The left port voltage phasor v1, the left port current phasor i1, the right port voltage phasor v2, and the right port current phasor i2 are connected by the following relations:
v1 = jω*(L1*i1+M*i2),
v2 = jω*(M*i1+L2*i2),
where M²<L1*L2 is always assumed.
The parameters L1 and L1 denote the primary and
secondary self inductances, respectively, while M is called
mutual (or coupling) inductance. The values of the inductances are specified by independent input signals.
Attention!!!
To ensure that the phasor domain-based model works in a quasi-stationary
mode, all inductances may alter only very slowly in comparison with both
the nominal frequency f=ω/(2π) and the dominant
time constant of the phasor domain-based model.
Remark:
It is required that M² < L1*L2, otherwise an assertion is raised.
Fraunhofer IIS/EAS, Dresden
email: olaf.enge@eas.iis.fraunhofer.de
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| SI.AngularFrequency | omega | Constants.omega | AngularFrequency of the complete AC circuit |
Connectors
| Type | Name | Default | Description |
|---|---|---|---|
| PosComplexPin | p1 (from TwoPort) | Positive complex pin no.1 | |
| PosComplexPin | p2 (from TwoPort) | Positive complex pin no.2 | |
| NegComplexPin | n1 (from TwoPort) | Negative complex pin no.1 | |
| NegComplexPin | n2 (from TwoPort) | Negative complex pin no.2 | |
| Modelica.Blocks.Interfaces.RealOutput | activePwr1 (from TwoPort) | Active power of port no.1 | |
| Modelica.Blocks.Interfaces.RealOutput | reactivePwr1 (from TwoPort) | Reactive power of port no.1 | |
| Modelica.Blocks.Interfaces.RealOutput | activePwr2 (from TwoPort) | Active power of port no.2 | |
| Modelica.Blocks.Interfaces.RealOutput | reactivePwr2 (from TwoPort) | Reactive power of port no.2 | |
| ComplexLib.Interfaces.ComplexOutput | complexPwr1 (from TwoPort) | Complex value of power of port no.1 | |
| ComplexLib.Interfaces.ComplexOutput | complexPwr2 (from TwoPort) | Complex value of power of port no.2 | |
| Modelica.Blocks.Interfaces.RealInput | L1 | Self inductance of first winding (main inductance plus stray inductance) [H] | |
| Modelica.Blocks.Interfaces.RealInput | M | Mutual inductance [H] | |
| Modelica.Blocks.Interfaces.RealInput | L2 | Self inductance of second winding (main inductance plus stray inductance) [H] |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| SI.Voltage | v1 (from TwoPort) | Voltage phasor of port no.1 | |
| SI.Voltage | v1Re (from TwoPort) | Active part of voltage phasor of port no.1 | |
| SI.Voltage | v1Im (from TwoPort) | Reactive part of voltage phasor of port no.1 | |
| SI.Voltage | v2 (from TwoPort) | Voltage phasor of port no.2 | |
| SI.Voltage | v2Re (from TwoPort) | Active part of voltage phasor of port no.2 | |
| SI.Voltage | v2Im (from TwoPort) | Reactive part of voltage phasor of port no.2 | |
| SI.Current | i1 (from TwoPort) | Current phasor of port no.1 | |
| SI.Current | i1Re (from TwoPort) | Active part of current phasor of port no.1 | |
| SI.Current | i1Im (from TwoPort) | Reactive part of current phasor of port no.1 | |
| SI.Current | i2 (from TwoPort) | Current phasor of port no.2 | |
| SI.Current | i2Re (from TwoPort) | Active part of current phasor of port no.2 | |
| SI.Current | i2Im (from TwoPort) | Reactive part of current phasor of port no.2 | |
| SI.Angle | phi1 (from TwoPort) | Angle between voltage and current phasors of port no.1 | |
| SI.Angle | phi_v1 (from TwoPort) | Angle of voltage phasor of port no.1 | |
| SI.Angle | phi_i1 (from TwoPort) | Angle of current phasor of port no.1 | |
| SI.Angle | phi2 (from TwoPort) | Angle between voltage and current phasors of port no.2 | |
| SI.Angle | phi_v2 (from TwoPort) | Angle of voltage phasor of port no.2 | |
| SI.Angle | phi_i2 (from TwoPort) | Angle of current phasor of port no.2 |