Date: Fri, 29 Mar 2024 16:01:21 +0000 (GMT)
Message-ID: <897632402.223.1711728081097@[172.30.0.157]>
Subject: Exported From Confluence
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Understanding A=
WR .emz Files
Design Notes
Square Wave Harmonics
This project is a collection of square wave sources with different harmo=
nic content, to illustrate the principles of harmonic balance circuit simul=
ation. There is a series of similar schematics containing the square wave v=
oltage source PORT_SQR. Each schematic has a different harmonic content spe=
cified, from one harmonic to 64 harmonics.
Results
The square wave results for each schematic with varying harmonic content=
can be seen the graphs. The graphs labels relate to the number of harmonic=
s set in the corresponding schematic. Note the extremes, 1 harmonic will pr=
oduce a pure sine wave while 64 harmonics is very close to an ideal square =
wave. The graph "Square wave time all" shows all the different harmonic set=
tings in one graph.
Notice that there was a zero rise time and fall time set for the source =
for each square wave. As the number of harmonics is increased, the rise and=
fall times can be displayed in the response. The importance is that if the=
rise and fall time for each harmonic content were to be measured on the gr=
aphs, each would be different. Therefore, it is important in a simulation t=
o distinguish between rise and fall time due to limiting harmonics, and ris=
e and fall time due to actual circuit performance.
Specifying Harmonics
You can set the number of harmonics globally from "Options > Default =
Circuit Options > APLAC Sim". For this simulation the number of harmonic=
s for each schematic is locally. To see this, select one of the schematics =
(with a left mouse click), lets say "square_wave_1harmonic" in the project =
tree (left side of project windows when "Proj" tab is selected on the botto=
m). Right click and select "Options ...". You then select the "APLAC Sim" t=
ab to see that you can set the number of harmonics locally here. If you che=
ck all of these settings you will see that they are set accordingly to get =
the results seen in the graphs.
Schematics
Each schematic has three elements, the square wave voltage source PORT_S=
QR, a zero ohm resistor, and a termination port. The fifty ohm termination =
port impedance matches the fifty ohm source impedance of the PORT_SQR port.=
The zero ohm resistor simply creates two unique port labels; two terminati=
ons connected to one another would cause overlapping ports and is not allow=
ed.
Schematic=
- square_wave_64harmonic
Graph - square wav=
e time all
Graph - square 1 har=
m time
Graph - square 5harm=
time
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