Lect38TLInitConds - Cunningham ECE329 Lecture 38 TL With...

Info iconThis preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Cunningham ECE329 Lecture 38 TL With Initial Conditions Lecture 38 Cunningham ECE329 Lecture 38 Two kinds of initial conditions we will discuss in ECE329 Place a voltage and current distribution on the line that varies in magnitude along the length of the TL Charge the entire line to a constant nonzero voltage and current, and then open/close a switch Cunningham ECE329 Lecture 38 Initial Conditions Place an initial voltage and/or current distribution on the TL Z z=0 z=l T We will consider a transmission line that is open-circuited on both ends, and place a voltage distribution and a current distribution on the line at t=0. Cunningham ECE329 Lecture 38 Z z=0 z=l T z V(z,0) Arbitrary initial voltage distribution What happens to this initial voltage distribution on the TL for t>0? Cunningham ECE329 Lecture 38 Z z=0 z=l T z V(z,0) The voltage (made up of charges on the TL) will begin to dissipate by forming + and - waves. Cunningham ECE329 Lecture 38 Z z=0 z=l T=1 sec z V(z,0) Eventually the + and - waves will reach the ends of the TL, where they will be reflected back! Cunningham ECE329 Lecture 38 At t=0+ V ( z ,0) = V + ( z ,0) + V " ( z ,0) I ( z ,0) = I + ( z ,0) + I " ( z ,0) Initial distribution Initial + wave Initial - wave Also, as usual: I + = V + Z I " = " V " Z Cunningham ECE329 Lecture 38 Solving (still at t=0) I ( z ,0) = I + ( z ,0) + I " ( z ,0) Z I ( z ,0) = V + ( z ,0) " V " ( z ,0) V + ( z ,0) = 1 2 V ( z ,0) + Z I ( z ,0) ( ) V " ( z ,0) = 1 2 V ( z ,0) " Z I ( z ,0) ( ) Initial + and - voltage waves derived from initial voltage and current distribution on the TL. Cunningham ECE329...
View Full Document

Page1 / 34

Lect38TLInitConds - Cunningham ECE329 Lecture 38 TL With...

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online