modelIdealTransformer
Extends from Modelica.Electrical.Analog.Interfaces.TwoPort (Component with two electrical ports, including current).
Information
The ideal transformer is a two-port circuit element;
in case of Boolean parameter considerMagnetization = false it is characterized by the following equations:
i2 = -i1*n; v2 = v1/n;
where n is a real number called the turns ratio.
Due to this equations, also DC voltages and currents are transformed - which is not the case for technical transformers.
In case of Boolean parameter considerMagnetization = true it is characterized by the following equations:
im1 = i1 + i2/n "Magnetizing current w.r.t. primary side"; psim1= Lm1*im1 "Magnetic flux w.r.t. primary side"; v1 = der(psim1) "Primary voltage"; v2 = v1/n "Secondary voltage";
where Lm denotes the magnetizing inductance.
Due to this equations, the DC offset of secondary voltages and currents decrement according to the time constant defined by the connected circuit.
Taking primary L1sigma and secondary L2ssigma leakage inductances into account,
compared with the basic transformer
the following parameter conversion can be applied (which leads to identical results):
L1 = L1sigma + M*n "Primary inductance at secondary no-load"; L2 = L2sigma + M/n "Secondary inductance at primary no-load"; M = Lm1/n "Mutual inductance";
For the backward conversion, one has to decide about the partitioning of the leakage to primary and secondary side.
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Real | n | Turns ratio primary:secondary voltage | |
| Boolean | considerMagnetization | false | Choice of considering magnetization |
| SI.Inductance | Lm1 | Magnetization inductance w.r.t. primary side |
Connectors
| Type | Name | Default | Description |
|---|---|---|---|
| PositivePin | p1 (from FourPin) | Positive electrical pin of port 1 | |
| NegativePin | n1 (from FourPin) | Negative electrical pin of port 1 | |
| PositivePin | p2 (from FourPin) | Positive electrical pin of port 2 | |
| NegativePin | n2 (from FourPin) | Negative electrical pin of port 2 |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| SI.Voltage | v1 (from FourPin) | Voltage drop of port 1 (= p1.v - n1.v) | |
| SI.Voltage | v2 (from FourPin) | Voltage drop of port 2 (= p2.v - n2.v) | |
| SI.Current | i1 (from FourPin) | Current flowing from pos. to neg. pin of port 1 | |
| SI.Current | i2 (from FourPin) | Current flowing from pos. to neg. pin of port 2 |
Revisions
- June 3, 2009
magnetisation current added by Anton Haumer
- 1998
initially implemented by Christoph Clauss