SIMPLORER User Manual V6.0 - FER-a

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188 Modeling with Circuit Components
Assuming the same number of turns for all primary windings the coupling between the primary
windings depends on the geometry only. The coupling of a secondary winding to the primary
winding of the same phase depends on the number-of-turns ratio again (as for singlephase
transformers).The coupling from a secondary side to a primary side of another phase
depends on geometry and number-of-turns ratio.
Three-Phase Transformer SIMPLORER Models
SIMPLROER provides a separate models for primary and secondary windings, which can be
adjusted to your needs individually. The coupling factors can be determined by a FEM-analysis
or by an estimation of the magnetic resistances based on the core geometry.
There are also two parameterized models for three-phase transformers of small and large power.
The parameters were determined by analyzing existing transformers with so-called EIcore.
See also “Six-winding Transformer (small and large power)” on page 194.
See also Spiro, Hans: Simulation integrierter Schaltungen durch universelle Rechenprogramme,Verfahren
und Praxis der rechnergestützten Simulation nichtlinearer Schaltungen,
R. Oldenbourg Verlag München Wien, 1985
4.8.1 Single-Phase Systems
• Ideal Two-winding Transformer (TWT)
• Linear Two-winding Transformer
• Nonlinear Two-winding-Transformer
• Primary Side of a Two-winding-Transformer
• Secondary Side of a Two-winding-Transformer
Ideal Two-winding Transformer
>>Basics>Circuit>Transformers>Single-Phase Systems
The component represents the mutual coupling between two inductors, L1 and L2, quantitatively
determined by the factor k. The ideal two-winding transformer is an internal component
which is not based on the Spiro model.
M = K⋅L1⋅L2 with K =
K1 ⋅ K2 Dialog Settings
«Inductance L1/L2 [H]»
L1 and L2 are the values of coupled inductances. Common parameter types. Enter a numerical
value, a variable, or an expression in the text box or use the pin to connect a quantity.
You can also specify an initial current for each inductance.
«Initial Current L1/L2 [A]»
I01 and I02 are the values of the initial currents. Common parameter types. Enter a numerical
value, a variable, or an expression in the text box or use the pin to connect a quantity. The
values are set only once at simulation start.
«Mutual Inductance»
K/M is the factor which quantitatively determines the mutual inductances. Common parameter
types. Enter a numerical value, a variable, or an expression in the text box or use the pin
to connect a quantity.