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