LIBRARY

Sources.CosineVariableFrequencyAndAmplitude

Cosine voltage source with variable frequency and amplitude

Variable cosine generator with externally controlled amplitude and frequency inputs. The component generates a cosine waveform based on integration of the frequency input:

+––––––+ | amplitude | +––-+–––+ | v +––––––+ | | | Cosine +––> y | Generator | | | +––––––+ ^ | +––-+–––+ | frequency | +––––––+

Usage

BlockComponents.Sources.CosineVariableFrequencyAndAmplitude(phi0=0, offset=0)

Parameters:

Name	Description	Units	Default value
phi0	Initial phase of the cosine wave	–	0
offset	Offset of the cosine wave	–	0

Connectors

• amplitude - This connector represents a real signal as an input to a component (RealInput)

• frequency - This connector represents a real signal as an input to a component (RealInput)

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

Variables

Name	Description	Units
phi	Phase of the cosine wave	rad

Behavior

Source

"""
Cosine voltage source with variable frequency and amplitude

Variable cosine generator with externally controlled amplitude and frequency inputs.
The component generates a cosine waveform based on integration of the frequency input:

+------------+
| amplitude  |
+-----+------+
|
v
+------------+
|            |
|  Cosine    +----> y
| Generator  |
|            |
+------------+
^
|
+-----+------+
| frequency  |
+------------+

```math
\frac{d\phi}{dt} = 2\pi \cdot frequency
```

```math
y = offset + amplitude \cdot \cos(\phi)
```
"""
component CosineVariableFrequencyAndAmplitude
  "Input port for the amplitude of the cosine wave"
  amplitude = RealInput() {
    "Dyad": {
      "placement": {
        "icon": {"iconName": "default", "x1": -100, "y1": 190, "x2": 0, "y2": 290, "rot": 0},
        "diagram": {"iconName": "default", "x1": -100, "y1": 190, "x2": 0, "y2": 290, "rot": 0}
      }
    }
  }
  "Input port for the frequency of the cosine wave in Hz"
  frequency = RealInput() {
    "Dyad": {
      "placement": {
        "icon": {"iconName": "default", "x1": -100, "y1": 680, "x2": 0, "y2": 780, "rot": 0},
        "diagram": {"iconName": "default", "x1": -100, "y1": 680, "x2": 0, "y2": 780, "rot": 0}
      }
    }
  }
  "Output port for the resulting cosine waveform"
  y = RealOutput() {
    "Dyad": {
      "placement": {
        "icon": {
          "iconName": "default",
          "x1": 1100,
          "y1": 450,
          "x2": 1000,
          "y2": 550,
          "rot": 180
        },
        "diagram": {
          "iconName": "default",
          "x1": 1100,
          "y1": 450,
          "x2": 1000,
          "y2": 550,
          "rot": 180
        }
      }
    }
  }
  "Initial phase of the cosine wave"
  parameter phi0::Real = 0
  "Offset of the cosine wave"
  parameter offset::Real = 0
  "Phase of the cosine wave"
  variable phi::Angle
relations
  initial phi = phi0
  der(phi) = 2 * π * frequency
  y = offset + amplitude * cos(phi)
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://BlockComponents/CosineVariableFrequencyAndAmplitude.svg"}
  }
}
end

Flattened Source

"""
Cosine voltage source with variable frequency and amplitude

Variable cosine generator with externally controlled amplitude and frequency inputs.
The component generates a cosine waveform based on integration of the frequency input:

+------------+
| amplitude  |
+-----+------+
|
v
+------------+
|            |
|  Cosine    +----> y
| Generator  |
|            |
+------------+
^
|
+-----+------+
| frequency  |
+------------+

```math
\frac{d\phi}{dt} = 2\pi \cdot frequency
```

```math
y = offset + amplitude \cdot \cos(\phi)
```
"""
component CosineVariableFrequencyAndAmplitude
  "Input port for the amplitude of the cosine wave"
  amplitude = RealInput() {
    "Dyad": {
      "placement": {
        "icon": {"iconName": "default", "x1": -100, "y1": 190, "x2": 0, "y2": 290, "rot": 0},
        "diagram": {"iconName": "default", "x1": -100, "y1": 190, "x2": 0, "y2": 290, "rot": 0}
      }
    }
  }
  "Input port for the frequency of the cosine wave in Hz"
  frequency = RealInput() {
    "Dyad": {
      "placement": {
        "icon": {"iconName": "default", "x1": -100, "y1": 680, "x2": 0, "y2": 780, "rot": 0},
        "diagram": {"iconName": "default", "x1": -100, "y1": 680, "x2": 0, "y2": 780, "rot": 0}
      }
    }
  }
  "Output port for the resulting cosine waveform"
  y = RealOutput() {
    "Dyad": {
      "placement": {
        "icon": {
          "iconName": "default",
          "x1": 1100,
          "y1": 450,
          "x2": 1000,
          "y2": 550,
          "rot": 180
        },
        "diagram": {
          "iconName": "default",
          "x1": 1100,
          "y1": 450,
          "x2": 1000,
          "y2": 550,
          "rot": 180
        }
      }
    }
  }
  "Initial phase of the cosine wave"
  parameter phi0::Real = 0
  "Offset of the cosine wave"
  parameter offset::Real = 0
  "Phase of the cosine wave"
  variable phi::Angle
relations
  initial phi = phi0
  der(phi) = 2 * π * frequency
  y = offset + amplitude * cos(phi)
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://BlockComponents/CosineVariableFrequencyAndAmplitude.svg"}
  }
}
end

Test Cases

No test cases defined.

Related

• Examples

• Experiments

• Analyses

• Tests

  • VariableSinCos