Triangular

Triangular waveform generator with configurable amplitude and frequency.

Produces a continuous triangular wave signal that oscillates between -amplitude and +amplitude values. The triangular wave is generated using modulo arithmetic on the time variable, creating a periodic signal with the specified frequency. The component begins generating the waveform only after the start_time is reached; before that point, it outputs the offset value. The period of the wave is automatically calculated as the inverse of the frequency.

This component extends from Signal

Usage

Triangular(start_time=0.0, offset=0.0, amplitude, frequency, period=1/frequency)

Parameters:

Name	Description	Units	Default value
start_time	Time at which the signal starts changing from its offset value	s	0
offset	Constant value added to the signal output	–	0
amplitude	Maximum amplitude of the triangular wave	–
frequency	Frequency of the triangular wave	Hz

Connectors

• y - This connector represents a real signal as an output from a component (RealOutput)

Behavior

$$\begin{array}{rl}y\left(t\right)& =ifelse(\mathtt{start}\mathtt{\_}\mathtt{time}<t,-\mathtt{amplitude}+4\mathtt{amplitude}\mathtt{frequency}|-\frac{1}{2}\mathtt{period}+\left|mod(-\frac{1}{4}\mathtt{period}-\mathtt{start}\mathtt{\_}\mathtt{time}+t,\mathtt{period})\right||,\mathtt{offset})\end{array}$$

Source

# Triangular waveform generator with configurable amplitude and frequency.
#
# Produces a continuous triangular wave signal that oscillates between -amplitude and
# +amplitude values. The triangular wave is generated using modulo arithmetic on the
# time variable, creating a periodic signal with the specified frequency. The component
# begins generating the waveform only after the start_time is reached; before that point,
# it outputs the offset value. The period of the wave is automatically calculated as the
# inverse of the frequency.
component Triangular
  extends Signal
  # Maximum amplitude of the triangular wave
  parameter amplitude::Real
  # Frequency of the triangular wave
  parameter frequency::Frequency
  # Period of the triangular wave, calculated as inverse of frequency
  final parameter period::Period = 1/frequency
relations
  y = if start_time<time then 4*amplitude*frequency*abs(abs(mod(time-period/4-start_time, period))-period/2)-amplitude else offset
metadata {"Dyad": {"icons": {"default": "dyad://BlockComponents/Triangular.svg"}}}
end

Flattened Source

# Triangular waveform generator with configurable amplitude and frequency.
#
# Produces a continuous triangular wave signal that oscillates between -amplitude and
# +amplitude values. The triangular wave is generated using modulo arithmetic on the
# time variable, creating a periodic signal with the specified frequency. The component
# begins generating the waveform only after the start_time is reached; before that point,
# it outputs the offset value. The period of the wave is automatically calculated as the
# inverse of the frequency.
component Triangular
  # Real-valued output connector for the component
  y = RealOutput() [{"Dyad": {"placement": {"icon": {"x1": 950, "y1": 450, "x2": 1050, "y2": 550}}}}]
  # Time at which the signal starts changing from its offset value
  parameter start_time::Time = 0.0
  # Constant value added to the signal output
  parameter offset::Real = 0.0
  # Maximum amplitude of the triangular wave
  parameter amplitude::Real
  # Frequency of the triangular wave
  parameter frequency::Frequency
  # Period of the triangular wave, calculated as inverse of frequency
  final parameter period::Period = 1/frequency
relations
  y = if start_time<time then 4*amplitude*frequency*abs(abs(mod(time-period/4-start_time, period))-period/2)-amplitude else offset
metadata {"Dyad": {"icons": {"default": "dyad://BlockComponents/Triangular.svg"}}}
end

Test Cases

This is setup code, that must be run before each test case.

using BlockComponents
using ModelingToolkit, OrdinaryDiffEqDefault
using Plots
using CSV, DataFrames

snapshotsdir = joinpath(dirname(dirname(pathof(BlockComponents))), "test", "snapshots")

"/home/actions-runner-10/.julia/packages/BlockComponents/77kIK/test/snapshots"

Related

• Examples

• Experiments

• Analyses

• Tests

  • TriangularTest