modelMultipleResonance

Demonstrates series and parallel resonance using a transformer

Extends from Icons.Example (Icon for runnable examples).

Information

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

TypeNameDefaultDescription
Modelica.Units.SI.VoltageV0.5Source rms voltage
Modelica.Units.SI.FrequencyfLo5.e6Lower source frequency
Modelica.Units.SI.FrequencyfUp15e6Upper source frequency
Modelica.Units.SI.ComplexImpedanceZiModelica.Units.SI.ComplexImpedance(100)Source inner impedance
Modelica.Units.SI.InductanceL130e-6Transformer primary inductance
Modelica.Units.SI.InductanceL21.e-6Transformer secondary inductance
Realk0.95Transformer coupling factor
Modelica.Units.SI.InductanceMk*sqrt(L1*L2)Transformer mutual inductance
Modelica.Units.SI.ResistanceR5Load resistance
Modelica.Units.SI.InductanceL5e-6Load inductance
Modelica.Units.SI.CapacitanceC50e-12Load capacitance

Components

TypeNameDefaultDescription
Sources.VariableVoltageSourcevoltageSource
Basic.Impedancezi
Basic.Transformertransformer
Basic.Groundground1
Basic.Groundground2
Basic.ResistorloadResistor
Basic.InductorloadInductor
Basic.CapacitorloadCapacitor
ComplexBlocks.Sources.ComplexConstantcomplexConst
Blocks.Sources.LogFrequencySweepfrequencySweep
Sensors.CurrentSensorcurrentSensor