Current Transformer
Current Transformer (CT).
Description
Unit Current Transformer is a current transformer (CT) with a non-ideal core. The core can be non-ideal due to its magnetic properties and dimensions.
The equivalent circuit of a two-winding transformer depends on which of the two options is used for parameters Winding parameterized by:
-
Combined primary and secondary values
-
Separate primary and secondary values
where
-
Req
is the total active resistance of the winding; -
Leq
- total scattering inductance; -
R1
- active resistance of the primary winding; -
L1
- scattering inductance of the primary winding; -
R2
- active resistance of the secondary winding; -
L2
- scattering inductance of the secondary winding; -
Rm
- active magnetising resistance; -
Lm
- magnetising inductance.
The figure below shows the equivalent circuit of a three-winding transformer:
where
-
R1
- active resistance of the primary winding; -
L1
- scattering inductance of the primary winding; -
R2
- active resistance of the first secondary winding; -
L2
- scattering inductance of the first secondary winding; -
R2
- active resistance of the second secondary winding; -
L2
- scattering inductance of the second secondary winding; -
Rm
- active magnetising resistance; -
Lm
- magnetising inductance.
The block provides the following options for parameterization of nonlinear magnetising inductance:
Single inductance (linear)
The relationships between voltage, current and magnetic flux are defined by the following equations:
,
,
,
where
-
- terminal voltage;
-
- current through the terminals;
-
- current through the magnetising inductance of the transformer;
-
- parasitic parallel conductance;
-
- number of primary winding turns;
-
- magnetic flux;
-
- unsaturated inductance.
One saturation point
The relationships between voltage, current and magnetic flux are defined by the following equations:
,
,
(up to the saturation point),
(after the saturation point),
where
-
- terminal voltage;
-
- current through the terminals;
-
- current through the transformer magnetising inductance;
-
- parasitic parallel conductance;
-
- number of primary winding turns;
-
- magnetic flux;
-
- magnetic flux saturation bias;
-
- unsaturated inductance;
-
- saturated inductance.
Characterisation of the dependence of magnetic flux on current
The relationships between voltage, current and flux are defined by the following equations:
,
,
,
where
-
- terminal voltage;
-
- current through the terminals;
-
- current through the transformer magnetising inductance;
-
- parasitic parallel conductance;
-
- number of turns of the primary winding;
-
- magnetic flux.
The magnetic flux is determined using a one-dimensional table consisting of a vector of current values and a vector of corresponding magnetic flux values. Both negative and positive values can be used to specify these vectors, or only positive values can be used. If only positive data are used, the vector must start at 0, while negative data will be automatically calculated by symmetrical mapping with respect to the point (0,0).
Characterisation of the dependence of magnetic induction on magnetic field strength
The relationships between voltage, current and flux are defined by the following equations:
,
,
,
,
,
where
-
- terminal voltage;
-
- current through the terminals;
-
- current through the transformer magnetising inductance;
-
- parasitic parallel conductance;
-
- number of primary winding turns;
-
- magnetic flux;
-
- magnetic induction;
-
- magnetic field strength;
-
- effective core length;
-
- effective cross-sectional area of the core.
Magnetic induction is determined using a one-dimensional table consisting of a vector of magnetic field strength values and a vector of corresponding magnetic induction values. Both negative and positive values can be used to specify these vectors, or only positive values can be used. If only positive data are used, the vector must start from 0, while negative data will be automatically calculated by symmetric mapping with respect to the point (0,0).
Characterisation of the dependence of magnetic induction on magnetic field strength with hysteresis
The relationships between voltage, current and flux are defined by the following equations:
,
,
,
,
,
where
-
- terminal voltage;
-
- current through the terminals;
-
- current through the transformer magnetising inductance;
-
- parasitic parallel conductance;
-
- number of primary winding turns;
-
- magnetic flux;
-
- magnetic induction;
-
- magnetic constant;
-
- magnetic field strength;
-
- core magnetisation;
-
- effective core length;
-
- effective cross-sectional area of the core.
Magnetisation leads to an increase in magnetic induction, and its magnitude depends on both the current value of the field strength , and its previous variation over time. The equations of the Giles-Atherton model are used to determine at any point in time.
The starting point for the Giles-Atherton equation is to separate the magnetisation effect into two parts, one of which is purely a function of the effective field strength ( ) and the other is an irreversible part that depends on past history:
.
The member is called the anhysteresis magnetisation because it has no hysteresis. It is described by the following function on the current value of the effective field strength :
.
This function defines a saturation curve with limit values and a saturation point determined by the value of , the shape factor of the anhysteresis curve. Roughly, it can be considered to describe the average of the two hysteresis curves. In the block Current Transformer values are set at and the points on the angysteresis curve B-H, which are used to determine the values of and .
The parameters is the reversible magnetisation coefficient and determines which part of the behaviour is determined by , and which part is determined by the irreversible term . In the Giles-Atherton model, the irreversible term is determined by the partial derivative of the field strength:
.
Comparison of this equation with the standard first order differential equation shows that as the field strength H increases, the irreversible term follows the reversible term , but with a variable gain .
The tracking error serves to create hysteresis at points where changes sign. The main parameter that forms the irreversible characteristic is , which is called the bulk coupling coefficient. The parameter is called the interdomain coupling coefficient and is also used to determine the effective field strength used to construct the angysteresis curve:
.
The value of affects the shape of the hysteresis curve: the larger it is, the higher the curve intersects the B-axis. However, it should be noted that the term , which must be positive at and negative at , is necessary for stability. Therefore, not all values of α are acceptable; a typical maximum value is of the order of 1e-3
.
Procedure for finding approximate values of the coefficients of the Giles-Atherton equation
The following procedure can be used to determine suitable parameters for the coefficients of the equation:
-
Specify the value of the parameters Anhysteretic B-H gradient when H is zero ( at ) plus the data point on the B-H anti-hysteresis curve. From these values, the values and are determined during block initialisation.
-
Set the value for the parameters Coefficient for reversible magnetization, c, so that the correct initial B-H derivative is obtained when the simulation is run from the point . The value of is approximately equal to the ratio of this initial derivative to the Anhysteretic B-H gradient when H is zero. The value of must be greater than
0
and less than1
. -
Set the value for the parameters *Bulk coupling coefficient, K*to approximate the value of when is on a positive hysteresis curve.
-
Start with a very small value of and gradually increase it to adjust the value of when the line crosses . A typical value is in the range of
1e-4
to1e-3
. Values that are too large cause the derivative of the B-H curve to tend to infinity, which is unphysical and results in a run-time assertion error.
It may be necessary to perform these steps several times to get a good match with the predefined B-H curve.
Volt-ampere characteristic (VAC)
Based on the specified VAC, the magnetic induction vectors and current vectors are calculated for usage of the magnetic flux-current characteristic:
,
,
where
-
- vectors defining the transformer’s VAC, parameters values Voltage vector for V-I option, (secondary side - RMS) и Current vector for V-I option, (secondary side - RMS), respectively;
-
- number of turns of the primary winding, the value of parameters First winding number of turns;
-
- network frequency, parameter value System frequency.
Ports
Conserving
#
+
—
positive terminal of the primary winding
electricity
Details
Electrical port, represents the primary winding terminal with positive polarity.
Program usage name |
|
#
-
—
negative terminal of the primary winding
electricity
Details
Electrical port, represents the primary winding terminal with negative polarity.
Program usage name |
|
#
1+
—
positive terminal of the first secondary winding
electricity
Details
Electrical port, represents the terminal of the first secondary winding with positive polarity.
Dependencies
To use this port, set the parameters to Include burden value Model the burden externally
.
Program usage name |
|
#
1-
—
negative terminal of the first secondary winding
electricity
Details
Electrical port, represents the terminal of the first secondary winding with negative polarity.
Dependencies
To use this port, set the parameters to Include burden value Model the burden externally
.
Program usage name |
|
#
2+
—
positive terminal of the second secondary winding
electricity
Details
Electrical port, represents the terminal of the second secondary winding with positive polarity.
Dependencies
To use this port, set the parameters to Include burden value Model the burden externally
, and set parameters Number of windings value Three
, Four
, Five
or Six
.
Program usage name |
|
#
2-
—
negative terminal of the second secondary winding
electricity
Details
Electrical port, represents the terminal of the second secondary winding with negative polarity.
Dependencies
To use this port, set the parameters to Include burden value Model the burden externally
, and set parameters Number of windings value Three
, Four
, Five
or Six
.
Program usage name |
|
#
3+
—
positive terminal of the third secondary winding
electricity
Details
Electrical port, represents the terminal of the third secondary winding with positive polarity.
Dependencies
To use this port, set the parameters to Include burden value Model the burden externally
, and set parameters Number of windings value Four
, Five
or Six
.
Program usage name |
|
#
3-
—
negative terminal of the third secondary winding
electricity
Details
Electrical port, represents the terminal of the third secondary winding with negative polarity.
Dependencies
To use this port, set the parameters to Include burden value Model the burden externally
, and set parameters Number of windings value Four
, Five
or Six
.
Program usage name |
|
#
4+
—
positive terminal of the fourth secondary winding
electricity
Details
Electrical port, represents the terminal of the fourth secondary winding with positive polarity.
Dependencies
To use this port, set the parameters to Include burden value Model the burden externally
, and set parameters Number of windings value Five
or Six
.
Program usage name |
|
#
4-
—
negative terminal of the fourth secondary winding
electricity
Details
Electrical port, represents the terminal of the fourth secondary winding with negative polarity.
Dependencies
To use this port, set the parameters to Include burden value Model the burden externally
, and set parameters Number of windings value Five
or Six
.
Program usage name |
|
#
5+
—
positive terminal of the fifth secondary winding
electricity
Details
Electrical port, represents the terminal of the fifth secondary winding with positive polarity.
Dependencies
To use this port, set the parameters to Include burden value Model the burden externally
, and set parameters Number of windings value Six
.
Program usage name |
|
#
5-
—
negative terminal of the fifth secondary winding
electricity
Details
Electrical port, represents the terminal of the fifth secondary winding with negative polarity.
Dependencies
To use this port, set the parameters to Include burden value Model the burden externally
, and set parameters Number of windings value Six
.
Program usage name |
|
Output
#
i1
—
current of the first secondary winding
scalar
Details
Current of the first secondary winding.
Dependencies
To use this port, set the parameters to Include burden value Model the burden internally
.
Data types |
|
Complex numbers support |
No |
#
i2
—
current of the second secondary winding.
scalar
Details
Current of the second secondary winding.
Dependencies
To use this port, set the parameters to Include burden value Model the burden internally
, and set parameters Number of windings value Three
, Four
, Five
or Six
.
Data types |
|
Complex numbers support |
No |
#
i3
—
current of the third secondary winding
scalar
Details
Current of the third secondary winding.
Dependencies
To use this port, set the parameters to Include burden value Model the burden internally
, and set parameters Number of windings value Four
, Five
or Six
.
Data types |
|
Complex numbers support |
No |
#
i4
—
current of the fourth secondary winding
scalar
Details
Current of the fourth secondary winding.
Dependencies
To use this port, set parameter Include burden value Model the burden internally
, and set parameters Number of windings value Five
or Six
.
Data types |
|
Complex numbers support |
No |
#
i5
—
fifth secondary winding current
scalar
Details
Current of the fifth secondary winding.
Dependencies
To use this port, set parameter Include burden value Model the burden internally
, and set parameters Number of windings value Six
.
Data types |
|
Complex numbers support |
No |
Parameters
Main
#
Number of windings —
switching between two-, three-, four-, five- and six-winding transformers
Two
| Three
| Four
| Five
| Six
Details
Switching between two-, three-, four-, five- and six-winding transformers.
-
Two
- the unit simulates a two-winding transformer. -
Three
- The block simulates a three-winding transformer. -
Four
- The block simulates a four-winding transformer. -
Five
- The block simulates a five-winding transformer. -
Six
- The block simulates a six-winding transformer.
Values |
|
Default value |
|
Program usage name |
|
Evaluatable |
No |
#
Turns ratio parameterization by —
option for setting the CT transformer ratio
Number of turns
| Current ratio
Details
Select one of the following methods for setting the CT transformer ratio:
-
Number of turns
- through the number of turns. -
Current ratio
- through nominal currents.
Values |
|
Default value |
|
Program usage name |
|
Evaluatable |
No |
# First winding number of turns — number of primary winding turns
Details
The number of turns of the transformer primary winding wire.
Dependencies
To use this parameter, set parameter Turns ratio parameterization by value Number of turns
.
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
# Second winding number of turns — number of turns of the first secondary winding
Details
Number of turns of the wire of the first secondary winding of the transformer.
Dependencies
To use this parameter, set parameter Turns ratio parameterization by value Number of turns
.
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
# Third winding number of turns — number of turns of the second secondary winding
Details
Number of turns of the second secondary winding wire of the transformer.
Dependencies
To use this parameter, set parameter Turns ratio parameterization by value Number of turns`and set parameters Number of windings value `Three
, Four
, Five
or Six
.
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
# Fourth winding number of turns — number of turns of the third secondary winding
Details
Number of turns of the wire of the third secondary winding of the transformer.
Dependencies
To use this parameter, set parameter Turns ratio parameterization by value Number of turns`and set parameters Number of windings value `Four
, Five
or Six
.
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
# Fifth winding number of turns — number of turns of the fourth secondary winding
Details
Number of turns of the fourth secondary winding wire of the transformer.
Dependencies
To use this parameter, set parameter Turns ratio parameterization by value Number of turns`and set parameters Number of windings value `Five
or Six
.
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
# Sixth winding number of turns — number of turns of the fifth secondary winding
Details
Number of turns of the fifth secondary winding wire of the transformer.
Dependencies
To use this parameter, set parameter Turns ratio parameterization by value Number of turns`and the parameters Number of windings value `Six
.
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
First winding nominal current —
nominal primary current
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Rated current of the primary winding.
Dependencies
To use this parameter, set parameter Turns ratio parameterization by value Current ratio
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Secondary side windings nominal current —
rated current of each secondary winding
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Rated current of each secondary winding.
Dependencies
To use this parameter, set parameter Turns ratio parameterization by value Current ratio
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Winding parameterized by —
type of winding distribution representation
Combined primary and secondary values
| Separate primary and secondary values
Details
The method of dissipation in the winding. Defined as:
-
Combined primary and secondary values
- use concentrated resistance and inductance values representing the combined leakage in the primary and secondary windings. -
Separate primary and secondary values
- use separate resistances and inductances to represent primary and secondary leakage.
Dependencies
To use this parameter, set parameter Number of windings value Two
.
Values |
|
Default value |
|
Program usage name |
|
Evaluatable |
No |
#
Combined winding resistance —
total active resistance of windings
Ohm
| GOhm
| MOhm
| kOhm
| mOhm
Details
The concentrated equivalent active resistance Req, which represents the combined power losses of the first and second windings.
Dependencies
To use this parameter, set the parameters to Winding parameterized by value Combined primary and secondary values
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Combined leakage inductance —
total scattering inductance
H
| mH
| nH
| uH
Details
The concentrated equivalent inductance Leq, which is the combined magnetic flux losses of the primary and secondary windings.
Dependencies
To use this parameter, set parameter Winding parameterized by value Combined primary and secondary values
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
First winding resistance —
primary resistance
Ohm
| GOhm
| MOhm
| kOhm
| mOhm
Details
The active resistance R1, which represents the power loss of the primary winding.
Dependencies
To use this parameter, set the parameters to Winding parameterized by value Separate primary and secondary values
or set the parameters to Number of windings value Three
, Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
First leakage inductance —
primary scattering inductance
H
| mH
| nH
| uH
Details
The inductance L1, which represents the magnetic flux losses of the primary winding.
Dependencies
To use this parameter, set the parameter Winding parameterized by value Separate primary and secondary values
or set the parameters to Number of windings value Three
, Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Second winding resistance —
active resistance of the first secondary winding
Ohm
| GOhm
| MOhm
| kOhm
| mOhm
Details
The active resistance R2, which represents the power loss of the first secondary winding.
Dependencies
To use this parameter, set the parameters to Winding parameterized by value Separate primary and secondary values
or set the parameters to Number of windings value Three
, Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Second leakage inductance —
dissipation inductance of the first secondary winding
H
| mH
| nH
| uH
Details
The L2 inductance, which represents the magnetic flux losses of the first secondary winding.
Dependencies
To use this parameter, set the parameters to Winding parameterized by value Separate primary and secondary values
or set the parameters to Number of windings value Three
, Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Third winding resistance —
active resistance of the second secondary winding
Ohm
| GOhm
| MOhm
| kOhm
| mOhm
Details
The active resistance R3, which represents the power loss of the second secondary winding.
Dependencies
To use this parameter, set the parameters to Number of windings value Three
, Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Third leakage inductance —
dissipation inductance of the second secondary winding
H
| mH
| nH
| uH
Details
The L3 inductance, which represents the magnetic flux losses of the second secondary winding.
Dependencies
To use this parameter, set the parameters to Number of windings value Three
, Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fourth winding resistance —
active resistance of the third secondary winding
Ohm
| GOhm
| MOhm
| kOhm
| mOhm
Details
The active resistance R4, which represents the power loss of the third secondary winding.
Dependencies
To use this parameter, set the parameters to Number of windings value Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fourth leakage inductance —
dissipation inductance of the third secondary winding
H
| mH
| nH
| uH
Details
The L4 inductance, which represents the magnetic flux losses of the third secondary winding.
Dependencies
To use this parameter, set the parameters to Number of windings value Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fifth winding resistance —
active resistance of the fourth secondary winding
Ohm
| GOhm
| MOhm
| kOhm
| mOhm
Details
The active resistance R5, which represents the power loss of the fourth secondary winding. Dependencies
To use this parameter, set the parameters to Number of windings value Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fifth leakage inductance —
dissipation inductance of the fourth secondary winding
H
| mH
| nH
| uH
Details
The L5 inductance, which represents the magnetic flux losses of the fourth secondary winding.
Dependencies
To use this parameter, set parameters Number of windings value Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Sixth winding resistance —
active resistance of the fifth secondary winding
Ohm
| GOhm
| MOhm
| kOhm
| mOhm
Details
The active resistance R6, which represents the power loss of the fifth secondary winding.
Dependencies
To use this parameter, set the parameters to Number of windings value Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Sixth leakage inductance —
dissipation inductance of the fifth secondary winding
H
| mH
| nH
| uH
Details
The L6 inductance, which represents the magnetic flux losses of the fifth secondary winding.
Dependencies
To use this parameter, set parameters Number of windings value Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
Magnetization
#
Magnetization resistance —
active magnetising resistance
Ohm
| GOhm
| MOhm
| kOhm
| mOhm
Details
The active resistance Rm representing the magnetic losses in the transformer core.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Magnetization inductance parameterized by —
block parameterization
Single inductance (linear)
| Single saturation point
| Magnetic flux versus current characteristic
| Magnetic flux density versus magnetic field strength characteristic
| Magnetic flux density versus magnetic field strength characteristic with hysteresis
| Voltage versus current characteristic
Details
A method for parameterising a block. Defined as:
-
Single inductance (linear)
- values for the number of turns, unsaturated and saturated inductances, saturation magnetic flux and parasitic parallel conductivity are specified. This option is used by default. -
Single saturation point
- The values for the number of turns, unsaturated inductance and parasitic parallel conductivity are specified. -
Magnetic flux versus current characteristic
- In addition to the number of turns and the value of the parasitic parallel conductance, the current vector and the magnetic flux vector are given to complete the magnetic flux-current table. -
Magnetic flux density versus magnetic field strength characteristic
- In addition to the number of turns and the parasitic parallel conductance value, the effective length and cross-sectional area of the core are given, as well as the magnetic field strength vector and the magnetic induction vector to complete the magnetic induction versus magnetic field strength table. -
Magnetic flux density versus magnetic field strength characteristic with hysteresis
- In addition to the number of turns, effective length and cross-sectional area of the core, the values of the initial derivative of the angysteresis B-H curve, magnetic induction and field strength at a certain point of the B-H curve, as well as the reversible magnetisation coefficient, volume coupling coefficient and interdomain coupling coefficient to determine the magnetic induction as a function of the current value and history of the magnetic field strength are given. -
Voltage versus current characteristic
- setting saturation through the volt-ampere characteristic (VAC).
Values |
|
Default value |
|
Program usage name |
|
Evaluatable |
No |
#
Magnetic field strength vector, H —
vector of magnetic field strength values
A/m
Details
Magnetic field strength values used to fill in the table of dependence of magnetic induction on magnetic field strength.
Dependencies
To use this parameter, set parameter Magnetization inductance parameterized by value Magnetic flux versus current characteristic
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Magnetic flux density vector, B —
vector of magnetic induction values
G
| T
Details
Magnetic induction values used to fill in the table of dependence of magnetic induction on magnetic field strength.
Dependencies
To use this parameter, set parameter Magnetization inductance parameterized by value Magnetic flux versus current characteristic
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Effective length —
effective core length
m
| cm
| ft
| in
| km
| mi
| mm
| um
| yd
Details
The effective core length, i.e. the average length of the magnetic flux path.
Dependencies
To use this parameter, set parameter Magnetization inductance parameterized by value Magnetic flux density versus magnetic field strength characteristic
or Magnetic flux density versus magnetic field strength characteristic with hysteresis
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Effective cross-sectional area —
effective cross-sectional area
m^2
| cm^2
| ft^2
| in^2
| km^2
| mi^2
| mm^2
| um^2
| yd^2
Details
The effective cross-sectional area of the core, i.e. the average area of the magnetic flux path.
Dependencies
To use this parameter, set parameter Magnetization inductance parameterized by value Magnetic flux density versus magnetic field strength characteristic
or Magnetic flux density versus magnetic field strength characteristic with hysteresis
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Unsaturated inductance —
unsaturated inductance
H
| mH
| nH
| uH
Details
The inductance value used when the transformer is operating in the linear region.
Dependencies
To use this parameter, set parameter Magnetization inductance parameterized by value Single inductance (linear)
or Single saturation point
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Saturated inductance —
saturable inductance
H
| mH
| nH
| uH
Details
The inductance value used when the transformer is operating in the saturation zone.
Dependencies
To use this parameter, set parameter Magnetization inductance parameterized by value Single saturation point
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Current vector, i —
current vector
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Current values used to populate the magnetic flux-current table.
Dependencies
To use this parameter, set parameter Magnetization inductance parameterized by value Magnetic flux versus current characteristic
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Magnetic flux vector, Φ —
vector of magnetic flux values
Wb
| N*m/A
| mN*m/A
Details
Magnetic flux values used to populate the magnetic flux-current table.
Dependencies
To use this parameter, set parameter Magnetization inductance parameterized by value Magnetic flux versus current characteristic
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Current vector for V-I option, (secondary side - RMS) —
vector of effective values of current VAC
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Vector of effective values of the current VAC.
Dependencies
To use this parameter, set the parameters to Magnetization inductance parameterized by value Voltage versus current characteristic
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Voltage vector for V-I option, (secondary side - RMS) —
vector of effective values of voltage VAC
V
| MV
| kV
| mV
Details
The vector of effective values of the VAC voltage.
Dependencies
To use this parameter, set the parameters to Magnetization inductance parameterized by value Voltage versus current characteristic
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
System frequency —
network frequency
Hz
| GHz
| MHz
| kHz
Details
Network frequency.
Dependencies
To use this parameter, set the parameters to Magnetization inductance parameterized by value Voltage versus current characteristic
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Saturation magnetic flux —
saturated magnetic flux
Wb
| N*m/A
| mN*m/A
Details
The value of the magnetic flux at which the transformer becomes saturated.
Dependencies
To use this parameter, set parameter Magnetization inductance parameterized by value Single saturation point
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Anhysteretic B-H gradient when H is zero —
derivative of the B-H anhysteresis curve near zero field strength
H/m
| mH/m
| nH/m
| uH/m
| H/km
| mH/km
| T*m/A
Details
The derivative of the anhysteresis (no hysteresis) B-H curve near zero field strength. Set as the average of the derivative of the positive and negative hysteresis curves.
Dependencies
To use this parameter, set parameter Magnetization inductance parameterized by value Magnetic flux density versus magnetic field strength characteristic with hysteresis
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Flux density point on anhysteretic B-H curve —
value of magnetic induction at the point on the angysteresis curve B-H
G
| T
Details
Specify the value of magnetic induction at a point on the anhysteresis curve. The most accurate option is to select the point at high field strength when the positive and negative hysteresis curves coincide.
Dependencies
To use this parameter, set parameter Magnetization inductance parameterized by value Magnetic flux density versus magnetic field strength characteristic with hysteresis
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Corresponding field strength —
corresponding field strength
A/m
Details
Corresponding field strength for the point given by the parameters Flux density point on anhysteretic B-H curve.
Dependencies
To use this parameter, set parameter Magnetization inductance parameterized by value Magnetic flux density versus magnetic field strength characteristic with hysteresis
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
# Coefficient for reversible magnetization, c — reversible magnetisation coefficient
Details
The fraction of magnetisation that is reversible. The value must be greater than zero and less than one.
Dependencies
To use this parameter, set the parameter Magnetization inductance parameterized by value Magnetic flux density versus magnetic field strength characteristic with hysteresis
.
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Bulk coupling coefficient, K —
volume coupling coefficient
A/m
Details
A parameter of the Giles-Atherton model that primarily determines the value of field strength at which the B-H curve crosses the line of zero magnetic induction.
Dependencies
To use this parameter, set parameter Magnetization inductance parameterized by value Magnetic flux density versus magnetic field strength characteristic with hysteresis
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
# Inter-domain coupling factor, α — interdomain coefficient
Details
A Giles-Atherton parameter affecting primarily the points of intersection of the B-H curves with the zero field strength line. Typical values range from 1e-4
to 1e-3
.
Dependencies
To use this parameter, set parameter Magnetization inductance parameterized by value Magnetic flux density versus magnetic field strength characteristic with hysteresis
.
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Interpolation option —
interpolation option
Linear
| Smooth
Details
The interpolation option of the lookup table. Defined as:
-
Linear
- select this option to get the best performance. -
Smooth
- select this option to obtain a continuous curve with continuous first order derivatives.
Values |
|
Default value |
|
Program usage name |
|
Evaluatable |
No |
Burden
#
Include burden —
switching on/off the load of CT secondary windings
Model the burden internally
| Model the burden externally
Details
If the value for this parameter is set to `Model the burden internally`If this parameter is set to this value, the internal load is connected to the secondary windings, the output ports will change from electrical to directional (scalar).
Values |
|
Default value |
|
Program usage name |
|
Evaluatable |
No |
#
Burden type —
load type
R
| L
| Series RL
Details
Load Type:
-
R
- Active. -
L
- inductive. -
Series RL
- series active-inductive.
Dependencies
To use this parameter, set parameter Include burden value Model the burden internally
.
Values |
|
Default value |
|
Program usage name |
|
Evaluatable |
No |
#
First Burden resistance —
active resistance of the first load
Ohm
| GOhm
| MOhm
| kOhm
| mOhm
Details
Active resistance of the first load.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
R
orSeries RL
;
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
First Burden inductance —
inductance of the first load
H
| mH
| nH
| uH
Details
Inductance of the first load.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
L
orSeries RL
;
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Second Burden resistance —
active resistance of the second load
Ohm
| GOhm
| MOhm
| kOhm
| mOhm
Details
The active resistance of the second load.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
R
orSeries RL
; -
Number of windings value
Three
,Four
,Five
orSix
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Second Burden inductance —
inductance of the second load
H
| mH
| nH
| uH
Details
Inductance of the second load.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
L
orSeries RL
; -
Number of windings value
Three
,Four
,Five
orSix
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Third Burden resistance —
active resistance of the third load
Ohm
| GOhm
| MOhm
| kOhm
| mOhm
Details
The active resistance of the third load.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
R
orSeries RL
; -
Number of windings value
Four
,Five
orSix
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Third Burden inductance —
inductance of the third load
H
| mH
| nH
| uH
Details
Third load inductance.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
L
orSeries RL
; -
Number of windings value
Four
,Five
orSix
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fourth Burden resistance —
active resistance of the fourth load
Ohm
| GOhm
| MOhm
| kOhm
| mOhm
Details
The active resistance of the fourth load.
Dependencies
To use this parameter, set for parameters:
-
Include burden value
Model the burden internally
; -
Burden type value
R
orSeries RL
; -
Number of windings value
Five
orSix
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fourth Burden inductance —
inductance of the fourth load
H
| mH
| nH
| uH
Details
Fourth load inductance.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
L
orSeries RL
; -
Number of windings value
Five
orSix
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fifth Burden resistance —
active resistance of the fifth load
Ohm
| GOhm
| MOhm
| kOhm
| mOhm
Details
The active resistance of the fifth load.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
R
orSeries RL
; -
Number of windings value
Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fifth Burden inductance —
fifth load inductance
H
| mH
| nH
| uH
Details
Fifth load inductance.
Dependencies
To use this parameter, set for parameters:
-
Include burden value
Model the burden internally
; -
Burden type value
L
orSeries RL
; -
Number of windings value
Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
Initial Conditions
#
Combined leakage current —
initial current of the total dissipation inductance
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial value of the total dissipation inductance current.
Dependencies
To use this parameter, set parameter Winding parameterized by value Combined primary and secondary values
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
First leakage inductance current —
initial current of the primary winding dissipation inductance
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial value of the inductance current of the transformer primary winding.
Dependencies
To use this parameter, set parameter Winding parameterized by value Separate primary and secondary values
or set the parameters to Number of windings value Three
, Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Second leakage inductance current —
initial dissipation inductance current of the first secondary winding
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial value of the dissipation inductance current of the first secondary winding of the transformer.
Dependencies
To use this parameter, set parameter Winding parameterized by value Separate primary and secondary values
or set the parameters to Number of windings value Three
, Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Third leakage inductance current —
initial current of the second secondary winding dissipation inductance
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial value of the dissipation inductance current of the second secondary winding of the transformer.
Dependencies
To use this parameter, set parameter Number of windings value Three
, Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fourth leakage inductance current —
initial current of the third secondary winding dissipation inductance
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial value of the dissipation inductance current of the third secondary winding of the transformer.
Dependencies
To use this parameter, set parameter Number of windings value Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fifth leakage inductance current —
initial current of the fourth secondary winding dissipation inductance
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial value of the dissipation inductance current of the fourth secondary winding of the transformer.
Dependencies
To use this parameter, set parameter Number of windings value Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Sixth leakage inductance current —
initial current of the fifth secondary winding dissipation inductance
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial value of the dissipation inductance current of the fifth secondary winding of the transformer.
Dependencies
To use this parameter, set parameter Number of windings value Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Specify magnetization inductance state by —
option for setting the initial state
Current
| Magnetic flux
Details
The option to set the initial state. Set as:
-
Current
- setting the initial state of the transformer by the initial current through the transformer. This option is used by default. -
Magnetic flux
- setting the initial state of the transformer by magnetic flux.
Dependencies
To use this parameter, set the parameters to Magnetization inductance parameterized by value Magnetic flux density versus magnetic field strength characteristic with hysteresis
.
Values |
|
Default value |
|
Program usage name |
|
Evaluatable |
No |
#
Magnetization inductance current —
initial magnetising inductance current
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
The initial current value used to calculate the magnetic flux value at zero time. This is the current flowing through the magnetising inductance of the transformer. The total magnetising current consists of the current through the active magnetising resistance and the current through the magnetising inductance.
Dependencies
This parameter is only used when selecting the value Current
for the parameters Specify magnetization inductance state by.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Magnetization inductance magnetic flux —
initial magnetic flux of the magnetising inductance
Wb
| N*m/A
| mN*m/A
Details
Magnetic flux value at zero time.
Dependencies
This parameter is only used when selecting a value of Magnetic flux
for the parameters Specify magnetization inductance state by.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Magnetization inductance magnetic flux density —
initial magnetic induction of the magnetising inductance
G
| T
Details
The value of magnetic induction at zero time.
Dependencies
This parameter is used if the parameter Magnetization inductance parameterized by value is selected Magnetic flux density versus magnetic field strength characteristic with hysteresis
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Magnetization inductance field strength —
initial field strength of magnetising inductance
A/m
Details
The value of the magnetic field strength at zero time.
Dependencies
This parameter is used if the parameter Magnetization inductance parameterized by value is selected Magnetic flux density versus magnetic field strength characteristic with hysteresis
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
First burden inductance initial current —
initial inductance current of the first load
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial inductance current of the first load.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
L
orSeries RL
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Second burden inductance initial current —
initial inductance current of the second load
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial inductance current of the second load.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
L
orSeries RL
; -
Number of windings value
Three
,Four
,Five
orSix
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Third burden inductance initial current —
initial inductance current of the third load
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial inductance current of the third load.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
L
orSeries RL
; -
Number of windings value
Four
,Five
orSix
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fourth burden inductance initial current —
initial inductance current of the fourth load
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial inductance current of the fourth load.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
L
orSeries RL
; -
Number of windings value
Five
orSix
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fifth burden inductance initial current —
initial inductance current of the fifth load
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial inductance current of the fifth load.
Dependencies
To use this parameter, set for parameters:
-
Include burden value
Model the burden internally
; -
Burden type value
L
orSeries RL
; -
Number of windings value
Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
First burden initial current —
initial current of the first load
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial current of the first load.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
L
orSeries RL
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Second burden initial current —
initial current of the second load
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial current of the second load.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
L
orSeries RL
; -
Number of windings value
Three
,Four
,Five
orSix
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Third burden initial current —
initial current of the third load
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial current of the third load.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
L
orSeries RL
; -
Number of windings value
Four
,Five
orSix
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fourth burden initial current —
initial current of the fourth load
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial current of the fourth load.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
L
orSeries RL
; -
Number of windings value
Five
orSix
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fifth burden initial current —
initial current of the fifth load
A
| MA
| kA
| mA
| nA
| pA
| uA
Details
Initial current of the fifth load.
Dependencies
To use this parameter, set the parameters to:
-
Include burden value
Model the burden internally
; -
Burden type value
L
orSeries RL
; -
Number of windings value
Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
Parasitic
#
Combined leakage inductance parasitic parallel conductance —
parasitic parallel conductance of the total scattering inductance
S
| mS
| nS
| uS
| 1/Ohm
Details
This parameters is used to represent small parasitic effects in parallel to the aggregate scattering inductance. The small parallel conductance may be required for modelling some circuit topologies.
Dependencies
To use this parameter, set parameter Winding parameterized by value Combined primary and secondary values
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
First leakage inductance parasitic parallel conductance —
parasitic parallel conductivity of the primary winding scattering inductance
S
| mS
| nS
| uS
| 1/Ohm
Details
This parameter is used to represent small parasitic effects in parallel with the scattering inductance on the primary winding. The small parallel conductance may be required for modelling some circuit topologies.
Dependencies
To use this parameter, set parameters Winding parameterized by value Separate primary and secondary values
or set the parameters to Number of windings value Three
, Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Second leakage inductance parasitic parallel conductance —
parasitic parallel conductance of the first secondary winding scattering inductance
S
| mS
| nS
| uS
| 1/Ohm
Details
This parameter is used to represent small parasitic effects parallel to the scattering inductance on the first secondary winding.
Dependencies
To use this parameter, set parameter Winding parameterized by value Separate primary and secondary values
or set the parameters to Number of windings value Three
, Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Third leakage inductance parasitic parallel conductance —
parasitic parallel conductance of the second secondary winding scattering inductance
S
| mS
| nS
| uS
| 1/Ohm
Details
This parameter is used to represent small parasitic effects parallel to the scattering inductance on the second secondary winding.
Dependencies
To use this parameter, set parameter Number of windings value Three
, Four
, Five
or Six
..
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fourth leakage inductance parasitic parallel conductance —
parasitic parallel conductance of the third secondary winding scattering inductance
S
| mS
| nS
| uS
| 1/Ohm
Details
This parameter is used to represent small parasitic effects parallel to the scattering inductance on the third secondary winding.
Dependencies
To use this parameter, set parameter Number of windings value Four
, Five
or Six
..
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fifth leakage inductance parasitic parallel conductance —
parasitic parallel conductance of the fourth secondary winding scattering inductance
S
| mS
| nS
| uS
| 1/Ohm
Details
This parameter is used to represent small parasitic effects parallel to the scattering inductance on the fourth secondary winding.
Dependencies
To use this parameter, set parameter Number of windings value Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Sixth leakage inductance parasitic parallel conductance —
parasitic parallel conductance of the fifth secondary winding scattering inductance
S
| mS
| nS
| uS
| 1/Ohm
Details
This parameter is used to represent small parasitic effects parallel to the scattering inductance on the fifth secondary winding.
Dependencies
To use this parameter, set parameter Number of windings value Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
First burden inductance parasitic parallel conductance —
parasitic parallel conductance of the first load dissipation inductance
S
| mS
| nS
| uS
| 1/Ohm
Details
Parasitic parallel conductance of the first load scattering inductance.
Dependencies
To use this parameter, set parameter Include burden value Model the burden internally
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Second burden inductance parasitic parallel conductance —
parasitic parallel conductance of the second load scattering inductance
S
| mS
| nS
| uS
| 1/Ohm
Details
Parasitic parallel conductance of the second load scattering inductance.
Dependencies
To use this parameter, set parameter Include burden value Model the burden internally`and the parameters Number of windings value `Three
, Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Third burden inductance parasitic parallel conductance —
parasitic parallel conductance of the third load dissipation inductance
S
| mS
| nS
| uS
| 1/Ohm
Details
Parasitic parallel conductance of the third-load scattering inductance.
Dependencies
To use this parameter, set parameter Include burden value Model the burden internally`and the parameters Number of windings value `Four
, Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fourth burden inductance parasitic parallel conductance —
parasitic parallel conductance of the fourth load dissipation inductance
S
| mS
| nS
| uS
| 1/Ohm
Details
Parasitic parallel conductance of the fourth load scattering inductance.
Dependencies
To use this parameter, set parameter Include burden value Model the burden internally`and the parameters Number of windings value `Five
or Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |
#
Fifth burden inductance parasitic parallel conductance —
parasitic parallel conductance of the fifth load scattering inductance
S
| mS
| nS
| uS
| 1/Ohm
Details
Parasitic parallel conductance of the fifth-load scattering inductance.
Dependencies
To use this parameter, set parameter Include burden value Model the burden internally`and the parameters Number of windings value `Six
.
Units |
|
Default value |
|
Program usage name |
|
Evaluatable |
Yes |