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Analog.Basic.Tests.VariableCapacitor.md

Analog.Basic.Tests.VariableCapacitor ​

Test circuit for VariableCapacitor.

A sine voltage source (1 V, 1 Hz) drives an RC circuit where the capacitance ramps from 1e-3 F to 6e-3 F over 2 s. A 10 Ω series resistor provides the current path.

The charge-based formulation should produce smooth current despite the time-varying capacitance.

Usage ​

ElectricalComponents.Analog.Basic.Tests.VariableCapacitor()

Behavior ​

[connect(sine+y,vs+V)connect(vs+p,R1+p)connect(R1+n,vc+p)connect(vc+n,ground+g)connect(vs+n,ground+g)connect(ramp+y,vc+C)sine.y(t)=sine.offset+sine.amplitude⋅ifelse(t≥sine.starttime,sin⁡(sine.phase+6.283185307179586⋅sine.frequency⋅(−sine.starttime+t)),sin⁡(sine.phase))vs.v(t)=vs.p.v(t)−vs.n.v(t)vs.i(t)=vs.p.i(t)vs.p.i(t)+vs.n.i(t)=0vs.v(t)=vs.uV⋅vs.V(t)R1.v(t)=−R1.n.v(t)+R1.p.v(t)R1.i(t)=R1.p.i(t)R1.n.i(t)+R1.p.i(t)=0R1.v(t)=R1.R⋅R1.i(t)vc.v(t)=vc.p.v(t)−vc.n.v(t)vc.i(t)=vc.p.i(t)vc.p.i(t)+vc.n.i(t)=0vc.Q(t)=vc.v(t)⋅max(vc.C(t),vc.Cmin)vc.i(t)=d⋅vc.Q(t)dtramp.y(t)=ifelse(ramp.starttime<t,ifelse(t<ramp.duration+ramp.starttime,ramp.offset+ramp.height⋅(−ramp.starttime+t)ramp.duration,ramp.height+ramp.offset),ramp.offset)ground.g.v(t)=0]

Source ​

dyad
"""
Test circuit for VariableCapacitor.

A sine voltage source (1 V, 1 Hz) drives an RC circuit where the
capacitance ramps from 1e-3 F to 6e-3 F over 2 s. A 10 Ω series
resistor provides the current path.

The charge-based formulation should produce smooth current despite
the time-varying capacitance.
"""
test component VariableCapacitor
  "Sine signal source: 1 V amplitude, 1 Hz"
  sine = BlockComponents.Sources.Sine(amplitude = 1, frequency = 1) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 420, "y1": 170, "x2": 320, "y2": 270, "rot": 0}
      },
      "tags": []
    }
  }
  "Voltage source driven by the sine signal"
  vs = ElectricalComponents.Analog.Sources.VoltageSource() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 320, "y1": 310, "x2": 220, "y2": 410, "rot": 0}
      },
      "tags": []
    }
  }
  "Series resistor (10 Ω)"
  R1 = ElectricalComponents.Analog.Basic.Resistor(R = 10) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 450, "y1": 310, "x2": 550, "y2": 410, "rot": 0}
      },
      "tags": []
    }
  }
  "Variable capacitor under test"
  vc = ElectricalComponents.Analog.Basic.VariableCapacitor() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 690, "y1": 310, "x2": 790, "y2": 410, "rot": 0}
      },
      "tags": []
    }
  }
  "Ramp for capacitance: 1e-3 F to 6e-3 F over 2 s"
  ramp = BlockComponents.Sources.Ramp(height = 5e-3, offset = 1e-3, duration = 2) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 530, "y1": 170, "x2": 630, "y2": 270, "rot": 0}
      },
      "tags": []
    }
  }
  "Ground reference"
  ground = ElectricalComponents.Analog.Basic.Ground() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 450, "y1": 500, "x2": 550, "y2": 600, "rot": 0}
      },
      "tags": []
    }
  }
relations
  initial vc.v = 0
  connect(sine.y, vs.V) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 270, "y": 220}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  connect(vs.p, R1.p) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(R1.n, vc.p) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(vc.n, ground.g) {
    "Dyad": {
      "edges": [
        {
          "S": 1,
          "M": [{"x": 870, "y": 360}, {"x": 870, "y": 450}, {"x": 500, "y": 450}],
          "E": 2
        }
      ],
      "renderStyle": "standard"
    }
  }
  connect(vs.n, ground.g) {
    "Dyad": {
      "edges": [
        {
          "S": 1,
          "M": [{"x": 120, "y": 360}, {"x": 120, "y": 450}, {"x": 500, "y": 450}],
          "E": 2
        }
      ],
      "renderStyle": "standard"
    }
  }
  connect(ramp.y, vc.C) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 740, "y": 220}], "E": 2}],
      "renderStyle": "standard"
    }
  }
metadata {
  "Dyad": {
    "tests": {"case1": {"stop": 1, "expect": {"signals": ["vc.v", "vc.i", "vc.Q"]}}}
  }
}
end
Flattened Source
dyad
"""
Test circuit for VariableCapacitor.

A sine voltage source (1 V, 1 Hz) drives an RC circuit where the
capacitance ramps from 1e-3 F to 6e-3 F over 2 s. A 10 Ω series
resistor provides the current path.

The charge-based formulation should produce smooth current despite
the time-varying capacitance.
"""
test component VariableCapacitor
  "Sine signal source: 1 V amplitude, 1 Hz"
  sine = BlockComponents.Sources.Sine(amplitude = 1, frequency = 1) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 420, "y1": 170, "x2": 320, "y2": 270, "rot": 0}
      },
      "tags": []
    }
  }
  "Voltage source driven by the sine signal"
  vs = ElectricalComponents.Analog.Sources.VoltageSource() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 320, "y1": 310, "x2": 220, "y2": 410, "rot": 0}
      },
      "tags": []
    }
  }
  "Series resistor (10 Ω)"
  R1 = ElectricalComponents.Analog.Basic.Resistor(R = 10) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 450, "y1": 310, "x2": 550, "y2": 410, "rot": 0}
      },
      "tags": []
    }
  }
  "Variable capacitor under test"
  vc = ElectricalComponents.Analog.Basic.VariableCapacitor() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 690, "y1": 310, "x2": 790, "y2": 410, "rot": 0}
      },
      "tags": []
    }
  }
  "Ramp for capacitance: 1e-3 F to 6e-3 F over 2 s"
  ramp = BlockComponents.Sources.Ramp(height = 5e-3, offset = 1e-3, duration = 2) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 530, "y1": 170, "x2": 630, "y2": 270, "rot": 0}
      },
      "tags": []
    }
  }
  "Ground reference"
  ground = ElectricalComponents.Analog.Basic.Ground() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 450, "y1": 500, "x2": 550, "y2": 600, "rot": 0}
      },
      "tags": []
    }
  }
relations
  initial vc.v = 0
  connect(sine.y, vs.V) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 270, "y": 220}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  connect(vs.p, R1.p) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(R1.n, vc.p) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(vc.n, ground.g) {
    "Dyad": {
      "edges": [
        {
          "S": 1,
          "M": [{"x": 870, "y": 360}, {"x": 870, "y": 450}, {"x": 500, "y": 450}],
          "E": 2
        }
      ],
      "renderStyle": "standard"
    }
  }
  connect(vs.n, ground.g) {
    "Dyad": {
      "edges": [
        {
          "S": 1,
          "M": [{"x": 120, "y": 360}, {"x": 120, "y": 450}, {"x": 500, "y": 450}],
          "E": 2
        }
      ],
      "renderStyle": "standard"
    }
  }
  connect(ramp.y, vc.C) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 740, "y": 220}], "E": 2}],
      "renderStyle": "standard"
    }
  }
metadata {
  "Dyad": {
    "tests": {"case1": {"stop": 1, "expect": {"signals": ["vc.v", "vc.i", "vc.Q"]}}}
  }
}
end


Test Cases ​

Test Case case1 ​

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