23.01.2015 Views

Download - Wolfram Research

Download - Wolfram Research

Download - Wolfram Research

SHOW MORE
SHOW LESS
  • No tags were found...

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

2.6 Modeling and Analysis of Nonlinear Circuits 93<br />

Except for the additional arguments and the keyword Definition, all other named arguments of<br />

the Model function have the same meaning as for subcircuit definitions. Following, we discuss the<br />

two arguments Definition and Variables.<br />

Example: A Diode<br />

Let’s illustrate the steps which are necessary to define a behavioral model by implementing a<br />

nonlinear device model for a junction diode.<br />

A<br />

VD<br />

vd/vt<br />

id(vd)=I s(e -1)<br />

ID<br />

C<br />

Figure 6.1: Junction diode<br />

The diode shown in Figure 6.1 has two terminals, the anode and the cathode, denoted by the node<br />

identifiers A and C, respectively. The branch voltage v D and the branch current i D satisfy the device<br />

equation<br />

i D ⩵ I S e v DV t<br />

<br />

where I S denotes the reverse-bias saturation current and V t the thermal voltage. Typical values for I S<br />

are A A. V t is given by k Tq where k denotes Boltzmann’s constant (k ⩵ WsK).<br />

T is the absolute temperature (in Kelvin), and q is the charge of an electron (q ⩵ As).<br />

In[1]:=

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!