Using MOSFET Equivalent Circuits

Equation Variables

This section lists the equation variables and constants.

Table 20-3: Equation Variables and Constants

Variable/Quantity

Definition

cbd

Bulk-to-drain capacitance

cbs

Bulk-to-source capacitance

cbg

Gate-to-bulk capacitance

cgd

Gate-to-drain capacitance

cgs

Gate-to-source capacitance

f

Frequency

gbd

Bulk-to-drain dynamic conductance

gbs

Bulk-to source dynamic conductance

gds

Drain-to-source dynamic conductance controlled by vds

gdb

Drain-to bulk impact ionization conductance

gm

Drain-to-source dynamic transconductance controlled by vgs

gmbs

Drain-to-source dynamic bulk transconductance controlled by vsb

ibd

Bulk-to-drain DC current

ibs

Bulk-to-source DC current

ids

Drain-to-source DC current

idb

Drain-to-bulk impact ionization current

ind

Drain-to-source equivalent noise circuit

inrd

Drain resistor equivalent noise circuit

inrs

Source resistor equivalent noise circuit

rd

Drain resistance

rs

Source resistance

vsb

Source-to-bulk voltage

vds

Drain-to-source voltage

vgs

Gate-to-source voltage

 

t-tnom

 

1.0359e-10F/m dielectric constant of silicon

k

1.38062e-23 (Boltzmann's constant)

q

1.60212e-19 (electron charge)

t

New temperature of model or element in °K

tnom

tnom = TNOM + 273.15. This variable represents the nominal temperature of parameter measurements in °K (user input in °C).

vt

k · t/q

vt(tnom)

k · tnom/q

Using the MOSFET Current Convention

MOSFET Current Convention, N-channel shows the assumed direction of current flow through a MOS transistor. When printing the drain current, use either I(M1) or I1(M1) syntax. I2 produces the gate current, I3 produces the source current, and I4 produces the substrate current. References to bulk are the same as references to the substrate.

Figure 20-7: MOSFET Current Convention, N-channel

Using MOSFET Equivalent Circuits

Star-Hspice uses three equivalent circuits in the analysis of MOSFETs: DC, transient, and AC and noise equivalent circuits. The components of these circuits form the basis for all element and model equation discussion. The equivalent circuit for DC sweep is the same as the one used for transient analysis, except capacitances are not included. Figures Equivalent Circuit, MOSFET Transient Analysis through Equivalent Circuit, MOSFET AC Noise Analysis display the MOSFET equivalent circuits.

The fundamental component in the equivalent circuit is the DC drain-to-source current (ids). For the noise and AC analyses, the actual ids current is not used. Instead, the model uses the partial derivatives of ids with respect to the terminal voltages vgs, vds, and vbs. The names for these partial derivatives are:

Transconductance

 

Conductance

 

Bulk Transconductance

 

The ids equation describes the basic DC effects of the MOSFET. The effects of gate capacitance and of source and drain diodes are considered separately from the DC ids equations. In addition, the impact ionization equations are treated separately from the DC ids equation, even though its effects are added to ids.

Figure 20-8: Equivalent Circuit, MOSFET Transient Analysis
Figure 20-9: Equivalent Circuit, MOSFET AC Analysis
Figure 20-10: Equivalent Circuit, MOSFET AC Noise Analysis
Star-Hspice Manual - Release 2001.2 - June 2001