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Description

Voltage Transformer with Magnetic coupling

Table of Contents

Mask and Parameters

  • General tab:


General Parameters

ParameterDescription
Flux-current characteristic modelModel saturation only or saturation with hysteresis
Base primary voltage (rmsLL)Base value pour PU conversion (kV)
Base power (total)Base value pour PU conversion (MVA)
Base frequency

Base value pour PU conversion (Hz)

Restriction resistance - RtrRestriction resistance (ohm or pu) sometimes used in the tertiary winding (see Configuration tab)


Stray Capacitances

      • C1p, C2p: Values of the stray capacitance on the primary side before and after the leakage impedance (farad or pu)


Primary Winding Parameters

NpNumber of turns (default: np = 6000)
Rp, LpLeakage resistance (ohm or pu) and inductance (henry or pu)
RmResistance (ohm) representing magnetization losses
RssSource resistance (ohm or pu)


Secondary Winding Parameters

NsNumber of turns (default: ns = 1)
Rs, LsLeakage resistance (ohm or pu) and inductance (henry or pu)
CsStray capacitance (farad or pu)
RscResistance in parallel with Cs (ohm or pu)
Rsa, LsaLoad resistance (ohm) and load inductance (henry or pu)


Tertiary Winding Parameters

NtNumber of turns (default: ns = 1)
Rt, LtLeakage resistance (ohm or pu) and inductance (henry or pu)
CtStray capacitance (farad or pu)
RtcResistance in parallel with Ct (ohm or pu)
Rta, LtaLoad resistance (ohm) and load inductance (henry or pu)


  • Saturation tab:


Saturation parameters:

Number of pointsNumber of segments of the current-flux saturation curve; only the positive part of the curve must be specified, the negative part being completed by symmetry
Saturation currentThe peak value of the current (in ampere or pu) for each segment of the saturation curve. The origin (0.0,0.0) is implied. The number of segments must be equal to the parameter “number of points”
Saturation fluxThe peak value of the flux (in volt-second or pu) for each segment of the saturation curve. The origin (0.0,0.0) is implied. The number of segments must be equal to the parameter “number of points”

Note that in this model, the saturation branch is located on the primary side of the transformer. Therefore, the saturation current and flux parameters should be referred to that side.


  • Configuration tab


Configuration parameters:

Model typeSelect either "Transducer" or "Network elements" model type
Transformer windings connectionSelect the type of windings connection as shown in the figure: "Yg+Yg+Yg", "Yg+Yg+Dg" or "Yg+Yg+Yg+Dg + Restriction"
Polarity criterionWhen the Transformer windings connection is "Yg+Yg+Yg+Dg", select either "Current" or "Voltage" as the polarity criterion


  • Hysteresis tab

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 typeDetermines if the saturation curve is calculated by the model or defined by a series of segments (Equation, Curve)
Air core inductanceValue of the saturation inductance that the curve approaches asymptotically (henry or pu)
Slope at IcFlux slope at coercive current (henry or pu)

Coercitive current - Ic

Positive coercive current at null flux (A or pu)
Saturation current - IsCurrent value of the first point in the saturation zone (A or pu)
Current toleranceSpecial 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 - ΦrPositive remnant flux at null current (V.s or pu)
Saturation flux - ΦsFlux value of the first point in the saturation zone (V.s or pu)
Flux toleranceSpecial 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 or pu)
Number of pointsNumber of segments of the current-flux 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 or pu)
Saturation fluxFlux for each segment of the saturation curve; the first value must be equal to Φs (V.s or pu)

Ports, Inputs, Outputs and Signals Available for Monitoring

Ports

Net_1Primary winding connection (supports only 3-phase connections)

Inputs

  • None

Outputs

  • None

Sensors

VMAG(a,b,c)Voltage in magnetization branch (V)
IMAG(a,b,c)Magnetization current (A)
FLUX(a,b,c)Mutual flux in the transformer (V.s)
VLOADSEC(a,b,c,n)Load voltage on the secondary
VLOADTER(a,b,c)Load voltage on the tertiary
VLOADTER0Ground voltage on the tertiary
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