modelPNPth

PNP transistor of the Modelica bond graph library with temperature variation

Information

The PNPth element of the bond graph library implements the Ebers-Moll model of a PNP bipolar transistor with temperature variation. The substrate is not shown on the icon layer, as it is assumed grounded. The transistor is assumed to be vertically diffused, as the substrate is connected to the collector, rather than to the base.

The PNPth bipolar heating transistor is a directed FourPort. The direction of positive power flow is assumed out of the model at the base, B, at the collector, C, and at the heat port, Heat, whereas it is assumed into the model at the emitter, E.

The causality of the PNPth model is relatively free. However, if there is a causality stroke placed at the collector from the outside, the substrate capacitor will assume differential causality.


Parameters:

 Bf:    Forward beta coefficient (default value = 50)

 Br:    Reverse beta coefficient (default value = 0.1)

 Is:    Transport saturation current (default value = 1e-16 Amp)

 Vak:   Inverse early voltage (default value = 0.02 /Volt)

 Tauf:  Ideal forward transit time (default value = 0.12e-9 sec)

 Taur:  Ideal reverse transit time (default value = 5e-9 sec)

 NF:    Forward current emission coefficient (default value = 1)

 NR:    Reverse current emission coefficient (default value = 1)

 Ccs:   Collector-substrate capacitance (default value = 1e-12 F)

 Cje:   Base-emitter zero bias depletion capacitance (default value = 0.4e-12 F)

 Cjc:   Base-collector zero bias depletion capacitance (default value = 0.5e-12 F)

 Phie:  Base-emitter diffusion voltage (default value = 0.8 Volt)

 Me:    Base-emitter gradation exponent (default value = 0.4)

 Phic:  Base-collector diffusion voltage (default value = 0.8 Volt)

 Mc:    Base-collector gradation exponent (default value = 0.333)

 EG:    Energy gap for temperature effect on saturation current (default value = 1.11 Volt)

 XTI:   Saturation current temperature exponent (default value = 3)

 XTB:   Forward and reverse beta temperature coefficient (default value = 0)

 Gbc:   Base-collector leakage conductance (default value = 1e-15 Mho)

 Gbe:   Base-emitter leakage conductance (default value = 1e-15 Mho)

 Vt:    Thermal voltage (default value = 0.02585 Volt)

 EMin:  Minimum exponent (default value = -100)

 EMax:  Maximum exponent (default value = 40)


References:

Vlach, J. and K. Singal (1983), Computer methods for circuit analysis and design, Van Nostrand Reinhold, New York, on page 317 ff.

Parameters

TypeNameDefaultDescription
RealBf50Forward beta coefficient
RealBr0.1Reverse beta coefficient
Modelica.SIunits.TemperatureTnom300.15Reference temperature
Modelica.SIunits.CurrentIs1.e-16Transport saturation current
Modelica.SIunits.InversePotentialVak0.02Inverse early voltage
Modelica.SIunits.TimeTauf0.12e-9Ideal forward transit time
Modelica.SIunits.TimeTaur5e-9Ideal reverse transit time
RealNF1Forward current emission coefficient
RealNR1Reverse current emission coefficient
Modelica.SIunits.CapacitanceCcs1e-12Collector-substrate capacitance
Modelica.SIunits.CapacitanceCje0.4e-12Base-emitter zero bias depletion capacitance
Modelica.SIunits.CapacitanceCjc0.5e-12Base-collector zero bias depletion capacitance
Modelica.SIunits.VoltagePhie0.8Base-emitter diffusion voltage
RealMe0.4Base-emitter gradation exponent
Modelica.SIunits.VoltagePhic0.8Base-collector diffusion voltage
RealMc0.333Base-collector gradation exponent
Modelica.SIunits.VoltageEG1.11Energy gap for temperature effect on saturation current
RealXTI3Saturation current temperature exponent
RealXTB0Forward and reverse beta temperature coefficient
Modelica.SIunits.ConductanceGbc1e-15Base-collector leakage conductance
Modelica.SIunits.ConductanceGbe1e-15Base-emitter leakage conductance
RealEMin-100if x < EMin, the exp(x) function is linearized
RealEMax40if x > EMax, the exp(x) function is linearized

Connectors

TypeNameDefaultDescription
Interfaces.BondConBBase
Interfaces.BondConCCollector
Interfaces.BondConEEmitter
Interfaces.BondConHHeat

Components

TypeNameDefaultDescription
Junctions.J0p3J0p3_1
Bonds.BondB1
Bonds.BondB2
Bonds.BondB3
Bonds.BondB4
Junctions.J1p3J1p3_1
Junctions.J0p4J0p4_1
Junctions.J1p3J1p3_2
Junctions.J0p3J0p3_2
Junctions.J1p3J1p3_3
Bonds.BondB5
Bonds.BondB6
Bonds.BondB7
Passive.CC1
Bonds.eBondB8
Junctions.J0p3J0p3_3
Bonds.eBondB9
Bonds.fBondB10
Sensors.DeVcb
Bonds.eBondB11
Bonds.eBondB12
Junctions.J0p3J0p3_4
Bonds.eBondB13
Bonds.eBondB14
Utilities.CjSDcb
Utilities.IB02IB0_1
Modelica.Blocks.Math.GainGain1
Utilities.IC02IC0_1
Utilities.CjSDeb
Bonds.fBondB15
Bonds.eBondB17
Bonds.eBondB16
Sensors.DeTdev
Junctions.J0p6J0p6_1
Sources.mSf_intIc0
Bonds.fBondB18
Bonds.fBondB19
Sources.mSf_intIb0