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3Winding 1Phase Saturable Transformer
Mask and Parameters
General Parameters
Description  Use this field to add all kinds of information about the component 
Fluxcurrent model  Model saturation only or saturation with hysteresis 
Iteration in saturation model  Enable or disable iteration to achieve more accurate results at the expense of computation time when the saturation segment changes 
Base primary/secondary/tertiary winding voltage (rmsLN)  Base value pour PU conversion (kV) 
Base power (total)  Base value pour PU conversion (MVA) 
Base frequency  Base value pour PU conversion (Hz) 
Magnetization Impedance Parameters
 Rm: Equivalent resistance of iron losses of the magnetic circuit (Ω)
Winding Parameters
Voltage (rmsLN)  Rated voltage of the winding (kV) 
R1, R2, R3  Leakage resistance of the winding (Ω) 
L1, L2, L3  Leakage inductance of the winding (H) 
Saturation Parameters
The saturation is characteristic of the core, thus of the winding and not the type of 3phase connection (Y, Delta or Zigzag). It is represented only for the magnetization branch (schematically using line segments).
Number of data points  Number of segments of the currentflux saturation curve; only the positive part of the curve must be specified, the negative part being completed by symmetry 
Saturation current  Current for each segment of the saturation curve; the origin (0,0) is implied (A) 
Saturation flux  Flux for each segment of the saturation curve; the origin (0.0,0.0) is implied (V.s) 
Hysteresis Parameters
The main hysteresis cycle is characterized by four parameters. It is measured in DC so as not to include the Foucault losses, which are considered by the parallel resistance (Rm). The initial trajectory is characterized by only one parameter, the initial flux. Two other special parameters serve to minimize the generation of internal nested loops, and their corresponding trajectories, saved in memory (e.g. the loops that are too small will be ignored and their trajectories modelized by a straight line segment).
This is useful since their number must be limited (100 which suffices in most simulated cases). Above this cycle (limited to ±Is), the saturation zone is entered. The saturation is then characterized either by a series of points on the curve or by an inductance that the curve approaches asymptotically. In this last case, the model generates automatically segments (in the positive and negative saturation zone) of equal length (Is).
Saturation data type  Determines if the saturation curve is calculated by the model or defined by a series of segments (Equation, Curve) 
Air core inductance  Value of the saturation inductance that the curve approaches asymptotically (H) 
Slope at Ic  Flux slope at coercive current (H) 
Coercitive current  Ic  Positive coercive current at null flux (A) 
Saturation current  Is  Current value of the first point in the saturation zone (A) 
Current tolerance  Special parameter limiting the generation of minor nested loops. When the magnetizing current values at the last inversion point and the preceding inversion point are closer than the specified tolerance (in % of Ic), it is assumed that there is a displacement on a trajectory represented by a straight line segment. 
Remnant flux  Φr  Positive remnant flux at null current (V.s) 
Saturation flux  Φs  Flux value of the first point in the saturation zone (V.s) 
Flux tolerance  Special parameter limiting the generation of minor nested loops. When the flux values at the last inversion point and the preceding inversion point are closer than the specified tolerance (in % of Φs), it is assumed that there is a displacement on the current loop. 
Initial flux (peak)  Initial flux determining initial trajectory which is calculated by supposing that it has an inversion point on the main cycle (V.s) 
Number of points  Number of segments of the currentflux saturation curve; only the positive part of the curve must be specified, the negative part being completed by symmetry 
Saturation current  Current for each segment of the saturation curve; the first value must be equal to Is (A) 
Saturation flux  Flux for each segment of the saturation curve; the first value must be equal to Φs (V.s) 
Ports, Inputs, Outputs and Signals Available for Monitoring
Ports
Net_1+  Positive primary winding connection (supports only 1phase connections) 
Net_1  Negative primary winding connection (supports only 1phase connections) 
Net_2+  Positive secondary winding connection (supports only 1phase connections) 
Net_2  Negative secondary winding connection (supports only 1phase connections) 
Net_3+  Positive tertiary winding connection (supports only 1phase connections) 
Net_3  Negative tertiary winding connection (supports only 1phase connections) 
Inputs
 None
Outputs
 None
Sensors
FLUX  Magnetization flux (V.s) 
IMAG  Magnetization current (A) 
IPRIM  Primary current (A) 
ISEC2  Secondary current (A) 
ISEC3  Tertiary current (A) 
SEG  Segment number of the saturation curve

References
«Hysteresis Modeling in the Matlab/Power System Blockset», Silvano Casoria, Patrice Brunelle, Gilbert Sybille, Mathematics and Computers in Simulation, Volume 63, Issues 35, Pages 237248
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