IGBT (Ideal, Switching)

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An ideal bipolar transistor with an isolated gate for switching circuits.

blockType: AcausalElectricPowerSystems.Semiconductors.Ideal.IGBT

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Description

Block IGBT (Ideal, Switching) simulates an ideal Insulated-gate bipolar transistor (IGBT) for switching circuits. The IGBT switching characteristic is such that if the gate-emitter voltage exceeds a preset threshold voltage , then the IGBT is in an open state. Otherwise, the device is in a closed state. This figure shows a typical volt-ampere characteristic.:

igbt ideal switching 1

In the open state, the collector-emitter channel behaves like a linear diode with a direct voltage drop. and resistance .

In the closed state, the collector-emitter channel behaves like a linear resistor with low conductivity. .

The defining equations can be written as

if and ,

in all other cases ,

where

— collector-emitter voltage;
— direct voltage;
— gate-emitter voltage;
— threshold voltage;
— collector-emitter current;
— resistance in the open state;
— conductivity in the closed state.

Built-in protective diode option

Using the parameters Integral Diode, an internal diode can be connected between the emitter and the collector. The built-in diode protects the device by providing a conduction channel for reverse current, which can occur when the voltage to the inductive load is abruptly cut off.

Set the parameter value Integral protection diode depending on the purpose.

Goal Value for selection Internal protective diode

Goal	Value for selection	Internal protective diode
The priority of the simulation speed.	`Diode with no dynamics`	An internal block is being added Diode (Advanced).
The priority of modeling accuracy is to accurately indicate the charge dynamics in the reverse mode.	`Diode with charge dynamics`	An indoor unit is being added Diode (Advanced) taking into account the charge dynamics.

The priority of the simulation speed.

Diode with no dynamics

An internal block is being added Diode (Advanced).

The priority of modeling accuracy is to accurately indicate the charge dynamics in the reverse mode.

Diode with charge dynamics

An indoor unit is being added Diode (Advanced) taking into account the charge dynamics.

Simulation of the gate port and thermal effects

You can choose a directional input or electrical port to control the gate and use the thermal port to simulate the heat generated by switching processes and conduction losses. To select the shutter control port, set the parameter Gate-control port meaning Signal control port or Electrical control port. To use the thermal port, check the box Enable thermal port.

Heat losses

Switching losses are the main sources of thermal losses in semiconductors. During each on-off switch, the parasitic elements of the transistor accumulate and then dissipate energy.

Switching losses depend on the voltage in the closed state and the current in the open state. When switching on a switching device, the power loss depends on the initial voltage in the closed state on the device and the final current in the open state when the device is fully open. Similarly, when the switching device is turned off, the power loss depends on the initial current in the open state on the device and the final voltage in the closed state when the device is completely closed. You can choose when to measure the current and voltage that the unit uses to calculate power-on and power-off losses. For most circuits, measurements can be carried out during on or off operation.:

Switching losses ;
Shutdown losses .

This unit accounts for switching losses by increasing the transition temperature by an amount equal to the losses divided by the total heat capacity of the transition. It is necessary to specify the energy dissipated during one turn on and one turn off. It is also necessary to specify the corresponding values of voltage in the closed state and current in the open state, at which losses are calculated. You can parameterize the power-on loss depending on the available data. Use tabular data, if available.

To set the scalar value of the power-on and power-off losses, set the parameter On-state behavior and switching losses meaning Specify constant values. The value of the parameters Switch-on loss and Switch-off loss the amount of losses is set. The unit scales voltage losses in the closed state and current in the open state.
To set the power-on and power-off losses as a function of the junction temperature and the current in the open state, set the parameter On-state behavior and switching losses meaning Tabulate. Parameters Switch-on loss, Eon(Tj,Ice) and Switch-off loss, Eoff(Tj,Ice) the amount of losses is set. The unit scales voltage losses in the closed state.

If you are using a fixed-step solver, then the shortest on or off pulse that supports recording switching losses is three time steps. If the pulse is shorter than three steps, the unit does not register switching losses. If you are using tabular data to model switching losses or reverse recovery losses, then make sure that the temperature and current are within the range you specified. If you do not define a realistic thermal model, for example, if the heat capacity of the junction or the conductivity between the junction and the housing is too low, then the temperature may exceed the range you specified, which may lead to extrapolation of losses to non-physical values.

Ports

Conserving

# C — collector
electricity

Details

The port connected to the collector.

Program usage name

collector

# E — The emitter
electricity

Details

The port associated with the emitter.

Program usage name

emitter

# H — thermal port
warmth

Details

The thermal port.

Dependencies

To use this port, check the box Enable thermal port.

Program usage name

thermal_port

# G — the shutter
electricity

Details

The port connected to the gate.

Dependencies

To enable this port, set the parameter Gate-control port meaning Electrical control port.

Program usage name

gate

Input

# G — the shutter
scalar

Details

The port connected to the gate.

Dependencies

To enable this port, set the parameter Gate-control port meaning Signal control port.

Data types	`Float64`
Complex numbers support	No

Parameters

Main

# Gate-control port — option to specify the type of shutter port
Signal control port | Electrical control port

Details

Option to specify the gate control port of the transistor:

Signal control port — The unit uses a directional input port to control the shutter;
Electrical control port — The unit uses a non-directional electrical port to control the shutter.

Values	`Signal control port` \| `Electrical control port`
Default value	`Signal control port`
Program usage name	`control_type`
Evaluatable	No

# Forward voltage, Vf — forward voltage
V | MV | kV | mV

Details

The minimum voltage across the collector and emitter required to ensure that the angle of inclination of the volt-ampere characteristic of the transistor is equal to , where — parameter value On-state resistance.

Dependencies

To use this option, uncheck the box. Enable thermal port.

Units	`V` \| `MV` \| `kV` \| `mV`
Default value	`0.8 V`
Program usage name	`V_f`
Evaluatable	Yes

# On-state resistance — resistance in the open state
Ohm | GOhm | MOhm | kOhm | mOhm

Details

The resistance of the open collector-emitter channel.

Units	`Ohm` \| `GOhm` \| `MOhm` \| `kOhm` \| `mOhm`
Default value	`0.001 Ohm`
Program usage name	`R_on`
Evaluatable	Yes

# Off-state conductance — closed state conductivity
S | mS | nS | uS | 1/Ohm

Details

Collector-emitter conductivity in the closed state. The value of this parameter should be less than , where — parameter value On-state resistance.

Units	`S` \| `mS` \| `nS` \| `uS` \| `1/Ohm`
Default value	`1e-05 1/Ohm`
Program usage name	`G_off`
Evaluatable	Yes

# Threshold voltage, Vth — Threshold voltage
V | MV | kV | mV

Details

The gate-emitter threshold voltage. The device is switched on when the gate-emitter voltage exceeds this value.

Units	`V` \| `MV` \| `kV` \| `mV`
Default value	`6.0 V`
Program usage name	`V_threshold`
Evaluatable	Yes

# On-state behavior and switching losses — operating mode behavior and switching losses
Specify constant values | Tabulate

Details

Parameterization method for operating mode behavior and switching losses:

Specify constant values — Use scalar values to set the output current and losses when switching on and off. The block assumes that the energy dissipated during a single on or off switch is linearly dependent on the voltage in the off state and the current in the on state. The block also assumes that losses are independent of temperature.
Tabulate — Use vectors to specify output current and temperature data. Use arrays to specify data about power-on and power-off losses.

Dependencies

To use this option, check the box Enable thermal port.

Values	`Specify constant values` \| `Tabulate`
Default value	`Specify constant values`
Program usage name	`thermal_loss_option`
Evaluatable	No

# On-state voltage, Vce(Tj,Ice) — voltage in the open state
V | MV | kV | mV

Details

The matrix of voltage drops on the device in an open conductive state. This parameter depends on the temperature Temperature vector, Tj and the final output current in the open state Collector-emitter current vector, Ice.

Dependencies

To use this option, check the box Enable thermal port, and for the parameter On-state behavior and switching losses set the value Tabulate.

Units	`V` \| `MV` \| `kV` \| `mV`
Default value	`[0.0 0.1 0.6 0.8 1.0 1.3 1.6 2.0 2.4; 0.0 0.1 0.7 1.0 1.2 1.5 1.9 2.4 2.8] V`
Program usage name	`V_on_matrix`
Evaluatable	Yes

Details

The vector of temperature values at which the voltage is set in the open state On-state voltage, Vce(Tj,Ice).

Dependencies

To use this option, check the box Enable thermal port, and for the parameter On-state behavior and switching losses set the value Tabulate.

Units	`K` \| `degC` \| `degF` \| `degR` \| `deltaK` \| `deltadegC` \| `deltadegF` \| `deltadegR`
Default value	`[298.15, 398.15] K`
Program usage name	`T_vector`
Evaluatable	Yes

# Collector-emitter current vector, Ice — collector-emitter current values
A | MA | kA | mA | nA | pA | uA

Details

The vector of collector-emitter current values at which the voltage is set in the open state On-state voltage, Vce(Tj,Ice). The first element must be zero.

Dependencies

To use this option, check the box Enable thermal port, and for the parameter On-state behavior and switching losses set the value Tabulate.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`[0.0, 0.1, 1.0, 5.0, 10.0, 20.0, 40.0, 70.0, 100.0] A`
Program usage name	`I_ce_vector`
Evaluatable	Yes

Switching losses

# Switch-on loss, Eon(Tj,Ice) — switching loss matrix
Btu_IT | J | MJ | MWh | Wh | eV | kJ | kWh | mJ | mWh

Details

Energy dissipated during a single switch-on as a function of temperature Temperature vector for switching losses, Tj and the final output current in the open state Collector-emitter current vector for switching losses, Ice.

Dependencies

To use this option, check the box Enable thermal port, and for the parameter On-state behavior and switching losses set the value Tabulate.

Units	`Btu_IT` \| `J` \| `MJ` \| `MWh` \| `Wh` \| `eV` \| `kJ` \| `kWh` \| `mJ` \| `mWh`
Default value	`[0.0 0.0024 0.024 0.12 0.2 0.48 1.04 2.16 3.24; 0.0 0.003 0.03 0.15 0.25 0.6 1.3 2.7 4.05]*1e-3 J`
Program usage name	`E_turn_on_losses_matrix`
Evaluatable	Yes

# Switch-off loss, Eoff(Tj,Ice) — shutdown loss matrix
Btu_IT | J | MJ | MWh | Wh | eV | kJ | kWh | mJ | mWh

Details

Energy dissipated during a single shutdown as a function of temperature Temperature vector for switching losses, Tj and the final output current in the open state Collector-emitter current vector for switching losses, Ice.

Dependencies

To use this option, check the box Enable thermal port, and for the parameter On-state behavior and switching losses set the value Tabulate.

Units	`Btu_IT` \| `J` \| `MJ` \| `MWh` \| `Wh` \| `eV` \| `kJ` \| `kWh` \| `mJ` \| `mWh`
Default value	`[0.0 0.0007 0.0066 0.033 0.066 0.17 0.33 0.83 1.5; 0.0 0.001 0.01 0.05 0.1 0.25 0.5 1.2 2.2]*1e-3 J`
Program usage name	`E_turn_off_losses_matrix`
Evaluatable	Yes

Details

The vector of temperature values at which the losses are set when switching on and off Switch-on loss, Eon(Tj,Ice) and Switch-off loss, Eoff(Tj,Ice).

Dependencies

To use this option, check the box Enable thermal port, and for the parameter On-state behavior and switching losses set the value Tabulate.

Units	`K` \| `degC` \| `degF` \| `degR` \| `deltaK` \| `deltadegC` \| `deltadegF` \| `deltadegR`
Default value	`[298.15, 398.15] K`
Program usage name	`T_losses_vector`
Evaluatable	Yes

# Collector-emitter current vector for switching losses, Ice — collector-emitter current values
A | MA | kA | mA | nA | pA | uA

Details

Vector of collector-emitter current values at which switching losses are specified Switch-on loss, Eon(Tj,Ice). The first element must be zero.

Dependencies

To use this option, check the box Enable thermal port, and for the parameter On-state behavior and switching losses set the value Tabulate.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`[0.0, 0.1, 1.0, 5.0, 10.0, 20.0, 40.0, 70.0, 100.0] A`
Program usage name	`I_ce_losses_vector`
Evaluatable	Yes

# Switch-on loss — switching losses
Btu_IT | J | MJ | MWh | Wh | eV | kJ | kWh | mJ | mWh

Details

The energy dissipated during a single power-on.

Dependencies

To use this option, check the box Enable thermal port, and for the parameter On-state behavior and switching losses set the value Specify constant values.

Units	`Btu_IT` \| `J` \| `MJ` \| `MWh` \| `Wh` \| `eV` \| `kJ` \| `kWh` \| `mJ` \| `mWh`
Default value	`0.02286 J`
Program usage name	`E_turn_on_losses_const`
Evaluatable	Yes

# Switch-off loss — shutdown losses
Btu_IT | J | MJ | MWh | Wh | eV | kJ | kWh | mJ | mWh

Details

The energy dissipated during a single shutdown.

Dependencies

To use this option, check the box Enable thermal port, and for the parameter On-state behavior and switching losses set the value Specify constant values.

Units	`Btu_IT` \| `J` \| `MJ` \| `MWh` \| `Wh` \| `eV` \| `kJ` \| `kWh` \| `mJ` \| `mWh`
Default value	`0.01714 J`
Program usage name	`E_turn_off_losses_const`
Evaluatable	Yes

# Off-state voltage for switching loss data — voltage in the closed state for loss data
V | MV | kV | mV

Details

The output voltage of the device is in the closed state. This is the locking voltage at which the on and off losses are determined.

Dependencies

To use this option, check the box Enable thermal port.

Units	`V` \| `MV` \| `kV` \| `mV`
Default value	`300.0 V`
Program usage name	`V_off_losses`
Evaluatable	Yes

# On-state current for switching loss data — Output current
A | MA | kA | mA | nA | pA | uA

Details

The output current for which the on loss and off loss are determined.

Dependencies

To use this option, check the box Enable thermal port.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`600.0 A`
Program usage name	`I_ce_losses_const`
Evaluatable	Yes

Integral Diode

# Integral protection diode — internal protective diode (suppressor)
External Diode | Diode with no dynamics | Diode with charge dynamics

Details

If the check box is selected Enable thermal port, the value of this parameter is External Diode.

If it is necessary to turn on the internal protective diode, then there are two possible options:

Diode with no dynamics.
Diode with charge dynamics.

Dependencies

To use this option, uncheck the box. Enable thermal port.

Values	`External Diode` \| `Diode with no dynamics` \| `Diode with charge dynamics`
Default value	`External Diode`
Program usage name	`integral_protection_diode`
Evaluatable	No

# Forward voltage — direct current voltage
V | MV | kV | mV

Details

The minimum voltage required at the negative and positive ports of the unit in order for the gradient of the volt-ampere characteristic of the diode to be equal to 1/ , where — parameter value On resistance.

Dependencies

To use this parameter, set for the parameter Integral protection diode meaning Diode with no dynamics or Diode with charge dynamics.

Units	`V` \| `MV` \| `kV` \| `mV`
Default value	`0.8 V`
Program usage name	`V_f_diode`
Evaluatable	Yes

# On resistance — resistance when switched on directly
Ohm | GOhm | MOhm | kOhm | mOhm

Details

The resistance of the diode is in the open state when the voltage is higher than the value set by the parameter Forward voltage.

Dependencies

To use this parameter, set for the parameter Integral protection diode meaning Diode with no dynamics or Diode with charge dynamics.

Units	`Ohm` \| `GOhm` \| `MOhm` \| `kOhm` \| `mOhm`
Default value	`0.001 Ohm`
Program usage name	`R_on_diode`
Evaluatable	Yes

# Off conductance — closed state conductivity
S | mS | nS | uS | 1/Ohm

Details

The conductivity of the diode when it is switched back on.

Dependencies

To use this parameter, set for the parameter Integral protection diode meaning Diode with no dynamics or Diode with charge dynamics.

Units	`S` \| `mS` \| `nS` \| `uS` \| `1/Ohm`
Default value	`1e-05 1/Ohm`
Program usage name	`G_off_diode`
Evaluatable	Yes

# Junction capacitance — transfer capacity
F | mF | nF | pF | uF

Details

The value of the capacitance characteristic of the transition from the depleted zone, acting as a dielectric and separating the connections of the anode and cathode.

Dependencies

To use this parameter, set for the parameter Integral protection diode meaning Diode with charge dynamics.

Units	`F` \| `mF` \| `nF` \| `pF` \| `uF`
Default value	`5e-08 F`
Program usage name	`C_diode`
Evaluatable	Yes

# Peak reverse current, iRM — peak reverse current
A | MA | kA | mA | nA | pA | uA

Details

The peak return current measured by the external test circuit. This value must be less than zero.

Dependencies

To use this parameter, set for the parameter Integral protection diode meaning Diode with charge dynamics.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`-235.0 A`
Program usage name	`i_rm_diode`
Evaluatable	Yes

# Initial forward current when measuring iRM — initial forward current during iRM measurement
A | MA | kA | mA | nA | pA | uA

Details

The initial forward current (at the initial moment of the switch-on time) when measuring the peak reverse current. This value must be greater than zero.

Dependencies

To use this parameter, set for the parameter Integral protection diode meaning Diode with charge dynamics.

Units	`A` \| `MA` \| `kA` \| `mA` \| `nA` \| `pA` \| `uA`
Default value	`300.0 A`
Program usage name	`i_f_diode`
Evaluatable	Yes

# Rate of change of current when measuring iRM — the rate of change of current during iRM measurement
A/s | A/us

Details

The rate of change of the current when measuring the peak reverse current. This value must be less than zero.

Dependencies

To use this parameter, set for the parameter Integral protection diode meaning Diode with charge dynamics.

Units	`A/s` \| `A/us`
Default value	`-50.0 A/us`
Program usage name	`diode_current_change_rate`
Evaluatable	Yes

# Reverse recovery time parametrization — type of reverse recovery time determination
Specify stretch factor | Specify reverse recovery time directly | Specify reverse recovery charge

Details

When selecting an option Specify stretch factor or Specify reverse recovery charge the value that is used by the block to calculate the reverse recovery time is specified.

Dependencies

To use this parameter, set for the parameter Integral protection diode meaning Diode with charge dynamics.

Values	`Specify stretch factor` \| `Specify reverse recovery time directly` \| `Specify reverse recovery charge`
Default value	`Specify stretch factor`
Program usage name	`t_rr_diode_parameterization`
Evaluatable	No

# Reverse recovery time stretch factor — the stretching coefficient of the reverse recovery time

Details

The value that the block uses for calculation Reverse recovery time, trr. This value must be greater than `1'. Specifying the stretching coefficient is an easier way to parameterize the reverse recovery time than specifying the reverse recovery charge. The higher the value of the stretching coefficient, the longer it takes for the reverse recovery current to dissipate.

Dependencies

To use this parameter, set for the parameter Integral protection diode meaning Diode with charge dynamics, and for the parameter Reverse recovery time parametrization meaning Specify stretch factor.

Default value	`3.0`
Program usage name	`t_rr_factor_diode`
Evaluatable	Yes

# Reverse recovery time, trr — reverse recovery time
d | s | hr | ms | ns | us | min

Details

The amount of time it takes for a diode to turn off when the voltage across it reverses from forward bias to reverse.

The interval between the moment when the current initially passes through zero (when the diode turns off) and the moment when the current drops to less than 10% of the peak current. Parameter value Reverse recovery time, trr there must be more than the parameter value. Peak reverse current, iRM, divided by the parameter value Rate of change of current when measuring iRM.

Dependencies

Units	`d` \| `s` \| `hr` \| `ms` \| `ns` \| `us` \| `min`
Default value	`15.0 us`
Program usage name	`t_rr_diode`
Evaluatable	Yes

# Reverse recovery charge, Qrr — reverse recovery charge
C | Ah | mC | nC | uC | MAh | kAh | mAh | s*uA

Details

The value that the block uses for calculation Reverse recovery time, trr. Use this parameter if the reverse recovery charge value is specified in the block parameters as the type of reverse recovery time determination instead of the reverse recovery time value.

The reverse recovery charge is the total charge that continues to dissipate after the diode is turned off. The value must be less than , where:

— the value specified for the parameter Peak reverse current, iRM;
— the value specified for the parameter Rate of change of current when measuring iRM.

Dependencies

Units	`C` \| `Ah` \| `mC` \| `nC` \| `uC` \| `MAh` \| `kAh` \| `mAh` \| `s*uA`
Default value	`1500.0 s*uA`
Program usage name	`Q_rr_diode`
Evaluatable	Yes

Thermal Port

# Enable thermal port — turning on the heat port

Details

Select this option to use the thermal port of the unit and simulate the effect of the generated heat and the temperature of the device.

Default value	`false (switched off)`
Program usage name	`has_thermal_port`
Evaluatable	No

# Thermal network — choosing an internal thermal model
Specify junction and case thermal parameters | Cauer model | Cauer model parameterized with Foster coefficients | External

Details

Choose an internal thermal model:

Specify junction and case thermal parameters;
Cauer model;
Cauer model parameterized with Foster coefficients;
External.

Values	`Specify junction and case thermal parameters` \| `Cauer model` \| `Cauer model parameterized with Foster coefficients` \| `External`
Default value	`External`
Program usage name	`thermal_network_parameterization`
Evaluatable	No

# Junction-case and case-ambient (or case-heatsink) thermal resistances, [R_JC R_CA] — the vector of thermal resistances
K/W

Details

The vector [R_JC R_CA] consists of two values of thermal resistance. The first value of `R_JC' is the thermal resistance between the junction and the housing. The second value, `R_CA', is the thermal resistance between the H port and the device body.

Dependencies

To use this parameter, set for the parameter Thermal network meaning Specify junction and case thermal parameters.

Units	`K/W`
Default value	`[0.08, 0.5] K/W`
Program usage name	`thermal_resistance_vector`
Evaluatable	Yes

# Thermal resistances, [R1 R2 ... Rn] — the vector of thermal resistances for the Kauer model
K/W

Details

Vector from the values of the thermal resistances represented by the Kauer elements in the heating network. All these values must be greater than zero.

Dependencies

To use this parameter, set for the parameter Thermal network meaning Cauer model.

Units	`K/W`
Default value	`[0.08, 0.1, 0.5] K/W`
Program usage name	`thermal_resistance_cauer_vector`
Evaluatable	Yes

# Thermal resistances, [R1 R2 ... Rn] — the vector of thermal resistances for the Foster model
K/W

Details

Vector from the values of thermal resistances represented by the coefficients of the Foster model in the heating network. All these values must be greater than zero.

Dependencies

To use this parameter, set for the parameter Thermal network meaning Cauer model parameterized with Foster coefficients.

Units	`K/W`
Default value	`[0.08, 0.14, 0.22, 0.16] K/W`
Program usage name	`thermal_resistance_foster_vector`
Evaluatable	Yes

# Thermal mass parameterization — parameterization of heat capacity
By thermal time constants | By thermal mass

Details

Choose a method for setting the heat capacity:

By thermal time constants — parameterization of heat capacity in terms of thermal time constants. This value is used by default.
By thermal mass — setting the heat capacity values.

Dependencies

To use this parameter, set for the parameter Thermal network meaning Specify junction and case thermal parameters, Cauer model or Cauer model parameterized with Foster coefficients.

Values	`By thermal time constants` \| `By thermal mass`
Default value	`By thermal time constants`
Program usage name	`thermal_mass_parameterization`
Evaluatable	No

# Junction and case thermal masses, [M_J M_C] — vector of heat capacity values for the Kauer model
J/K | kJ/K

Details

The vector [M_J M_C] consists of two values of the heat capacity. The first value of M_J is the heat capacity of the junction. The second value, `M_C', is the heat capacity of the housing.

Dependencies

To use this parameter, set for the parameter Thermal network meaning Specify junction and case thermal parameters, and for the parameter Thermal mass parameterization meaning By thermal mass.

Units	`J/K` \| `kJ/K`
Default value	`[0.01, 0.5] J/K`
Program usage name	`thermal_mass_vector`
Evaluatable	Yes

# Thermal masses, [M1 M2 ... Mn] — vector of heat capacity values for the Kauer model
J/K | kJ/K

Details

Vector from values of heat capacities, where this is the number of coefficients of the Kauer model in the heat network. All these values must be greater than zero.

Dependencies

To use this parameter, set for the parameter Thermal network meaning Cauer model, and for the parameter Thermal mass parameterization meaning By thermal mass.

Units	`J/K` \| `kJ/K`
Default value	`[0.01, 0.1, 0.5] J/K`
Program usage name	`thermal_mass_cauer_vector`
Evaluatable	Yes

# Thermal masses, [M1 M2 ... Mn] — the vector of heat capacity values for the Foster model
J/K | kJ/K

Details

Vector from values of heat capacities, where this is the number of Foster elements in the heating network. All these values must be greater than zero.

Dependencies

To use this parameter, set for the parameter Thermal network meaning Cauer model parameterized with Foster coefficients, and for the parameter Thermal mass parameterization meaning By thermal mass.

Units	`J/K` \| `kJ/K`
Default value	`[0.001, 0.005, 0.05, 0.5] J/K`
Program usage name	`thermal_mass_foster_vector`
Evaluatable	Yes

# Junction and case thermal time constants, [t_J t_C] — vector of thermal time constants
d | s | hr | ms | ns | us | min

Details

The vector [t_J t_C] consists of two values of the thermal time constants. The first value of t_J is the thermal transition time constant. The second value, `t_C', is the thermal time constant of the housing.

Dependencies

Units	`d` \| `s` \| `hr` \| `ms` \| `ns` \| `us` \| `min`
Default value	`[0.001, 0.2] s`
Program usage name	`thermal_time_constant_vector`
Evaluatable	Yes

# Thermal time constants, [t1 t2 ... tn] — vector of thermal time constants for the Kauer model
d | s | hr | ms | ns | us | min

Details

Vector from values of thermal time constants, where this is the number of Kauer elements in the heating network. All these values must be greater than zero.

The value of the heat capacity is calculated as , where , and — heat capacity, thermal time constant and thermal resistance for - the go element of the Cowera.

Dependencies

To use this parameter, set for the parameter Thermal network meaning Cauer model, and for the parameter Thermal mass parameterization meaning By thermal time constants.

Units	`d` \| `s` \| `hr` \| `ms` \| `ns` \| `us` \| `min`
Default value	`[0.001, 0.1, 0.2] s`
Program usage name	`thermal_time_constant_cauer_vector`
Evaluatable	Yes

# Thermal time constants, [t1 t2 ... tn] — the vector of thermal time constants for the Foster model
d | s | hr | ms | ns | us | min

Details

Vector from values of thermal time constants, where this is the number of coefficients of the Foster model in the heating network. All these values must be greater than zero.

The value of the heat capacity is calculated as , where , and — heat capacity, thermal time constant and thermal resistance for - the go element of the Cowera.

Dependencies

Units	`d` \| `s` \| `hr` \| `ms` \| `ns` \| `us` \| `min`
Default value	`[7e-5, 7e-4, 0.01, 0.08] s`
Program usage name	`thermal_time_constant_foster_vector`
Evaluatable	Yes

Details

Dependencies

Units	`K` \| `degC` \| `degF` \| `degR` \| `deltaK` \| `deltadegC` \| `deltadegF` \| `deltadegR`
Default value	`[25.0, 25.0] degC`
Program usage name	`T_thermal_mass_vector_start`
Evaluatable	Yes

Details

The vector of temperature values. It corresponds to the temperature difference for each heat capacity in the model.

Dependencies

To use this parameter, set for the parameter Thermal network meaning Cauer model.

Units	`K` \| `degC` \| `degF` \| `degR` \| `deltaK` \| `deltadegC` \| `deltadegF` \| `deltadegR`
Default value	`[25.0, 25.0, 25.0] degC`
Program usage name	`T_thermal_mass_cauer_vector_start`
Evaluatable	Yes

Details

The vector of absolute temperature values of each element of the Foster model.

Dependencies

To use this parameter, set for the parameter Thermal network meaning Cauer model parameterized with Foster coefficients.

Units	`K` \| `degC` \| `degF` \| `degR` \| `deltaK` \| `deltadegC` \| `deltadegF` \| `deltadegR`
Default value	`[25.0, 25.0, 25.0, 25.0] degC`
Program usage name	`T_thermal_mass_foster_vector_start`
Evaluatable	Yes

# Junction thermal mass — the heat capacity of the transition
J/K | kJ/K

Details

The heat capacity of the transition

Dependencies

To use this parameter, set for the parameter Thermal network meaning External.

Units	`J/K` \| `kJ/K`
Default value	`0.01 J/K`
Program usage name	`junction_thermal_mass`
Evaluatable	Yes

Examples

Modelling and analysis of AFE active rectifier operation