Product Documentation
Spectre Circuit Simulator Components and Device Models Reference
Product Version 23.1, June 2023

HiCUM Model Version 2.3

HICUM/L2 version 2.30 has been developed to a large extent within the framework of the European DOTFIVE project. This HICUM/L2 version has been improved from its present official version (v2.24) in order to meet the requirements for emerging mm-wave applications. Following is a brief overview of the new improvements and additions in the new model.

Improvements in the model equations

Formulation for the critical current (ICK)

where is the new mode parameter.

Weight factors

Weight factor for low current transit time

A new weight factor hf0 for the low current minority charge has been introduced.

The default value of hf0 (=1) makes it compatible with the previous version. The temperature dependence of hf0 is given by

where, VgBE is the new model parameter and defined as the bandgap difference between base and BE-junction, used for hjEi0 and hf0.

Weight factor of BE depletion charge

In this version, the BE-depletion charge weight factor hjEi is modeled as bias dependent with the following equations:

With,

Where, ahjEi is the new model parameter.

The junction voltage is limited to VDEi and 0 by:

and

where, rhjEi is the newly introduced model parameter.

The voltage has been further limited to values greater than zero using the following equations:

The temperature dependence of hJEi and rhjEi is given by:

Where,

and are the fitting parameters.

High current weight factors

Temperature dependences for hfE and hfC have been considered in the new model.

To enable full backward compatibility to previous versions of HICUM, the parameter flcomp needs to be set to 2.3, or more to turn on these models.

Transit Times

Barrier voltage

The barrier related term is calculated by the bias dependent barrier voltage:

Barrier related minority charge

The high current minority charge expression has been extended by adding the barrier related part:

The new formulation for the barrier related minority charge reads as follows:

With the already existing parameter:

High current charges

Considering the “Kirk effect” the following expression can be obtained:

The high current collector charge including current spreading can be expressed as:

Emitter transit time

The temperature dependence of the emitter transit time has been removed. However, by setting flcomp to 2.2 or lower, the former existing equation will still be available.

Lateral non-quasi-static (NQS) effect

The formulation has been switched back to that of HICUM/L2 version 2.23.

Temperature dependence of thermal resistance

In this version, the thermal resistance (Rth) has been modeled as temperature dependent.

where, is the temperature coefficient of Rth and a new model parameter.

Temperature dependence of internal BE recombination current

The current equation has been modified, within the existing simplifying assumptions, by replacing “1/2” with “1/mREi”

Temperature dependence of peripheral BE recombination current

In the same way the with peripheral BE recombination current has been modified:

Setting mREi =2 and mREp=2 yields the formulation of previous model versions.

Noise source of the emitter resistance

Based on measurements presented in an additional flicker noise contribution has been introduced for the series emitter resistance RE. The total noise contribution becomes:

where, the first component represents the flicker noise and second the thermal noise.

Related Topics

Spectre HICUM Model Compared to Public HICUM Model

Model Description

HiCUM Model Version 2.2

HiCUM Model Version 2.3

Component Statements

HiCUM Model (bht)


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