WOLFRAM SYSTEM MODELER
MultipleResonanceDemonstrates series and parallel resonance using a transformer |
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Diagram
Wolfram Language
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SystemModel["Modelica.Electrical.QuasiStatic.SinglePhase.Examples.MultipleResonance"]
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Information
This information is part of the Modelica Standard Library maintained by the Modelica Association.
The series resonance load circuit is fed by a voltage source with inner impedance. By using a transformer between source and load, we achieve multiple resonance by varying the source frequency:
- series resonance: Im{Z}=0
- parallel resonance: Im{Y}=0
Plot currentSensor.abs_i and currentSensor.arg_i versus frequency, i.e. frequencySweep.y.
Note that the behaviour is fundamentally different from that of a simple series resonance circuit.
Parameters (11)
| V |
Value: 0.5 Type: Voltage (V) Description: Source rms voltage |
|---|---|
| fLo |
Value: 5.e6 Type: Frequency (Hz) Description: Lower source frequency |
| fUp |
Value: 15e6 Type: Frequency (Hz) Description: Upper source frequency |
| Zi |
Value: Modelica.Units.SI.ComplexImpedance(100) Type: ComplexImpedance Description: Source inner impedance |
| L1 |
Value: 30e-6 Type: Inductance (H) Description: Transformer primary inductance |
| L2 |
Value: 1.e-6 Type: Inductance (H) Description: Transformer secondary inductance |
| k |
Value: 0.95 Type: Real Description: Transformer coupling factor |
| M |
Value: k * sqrt(L1 * L2) Type: Inductance (H) Description: Transformer mutual inductance |
| R |
Value: 5 Type: Resistance (Ω) Description: Load resistance |
| L |
Value: 5e-6 Type: Inductance (H) Description: Load inductance |
| C |
Value: 50e-12 Type: Capacitance (F) Description: Load capacitance |
Components (12)
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Zi |
Type: ComplexImpedance Description: Source inner impedance |
|---|---|---|
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voltageSource |
Type: VariableVoltageSource Description: Variable AC voltage |
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zi |
Type: Impedance Description: Single-phase linear impedance |
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transformer |
Type: Transformer Description: Transformer with two ports |
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ground1 |
Type: Ground Description: Electrical ground |
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ground2 |
Type: Ground Description: Electrical ground |
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loadResistor |
Type: Resistor Description: Single-phase linear resistor |
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loadInductor |
Type: Inductor Description: Single-phase linear inductor |
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loadCapacitor |
Type: Capacitor Description: Single-phase linear capacitor |
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complexConst |
Type: ComplexConstant Description: Generate constant signal of type Complex |
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frequencySweep |
Type: LogFrequencySweep Description: Logarithmic frequency sweep |
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currentSensor |
Type: CurrentSensor Description: Current sensor |