WOLFRAM SYSTEM MODELER
CauerLowPassSCCauer low-pass filter with operational amplifiers and switched capacitors |
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Diagram
Wolfram Language
In[1]:=
SystemModel["Modelica.Electrical.Analog.Examples.CauerLowPassSC"]
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Information
This information is part of the Modelica Standard Library maintained by the Modelica Association.
The example CauerLowPassSC is a low-pass-filter of the fifth order. It is realized using an switched-capacitor network with operational amplifiers. The voltage source V is the input voltage (step), and the OP5.out.v is the filter output voltage. The pulse response is calculated.
This model is identical to the CauerLowPassAnalog example, but inverting. To get the same response as that of the CauerLowPassAnalog example, a negative voltage step is used as input.
This model is identical to the CauerLowPassOPV example. But the resistors are realized by switched capacitors (see SwitchedCapacitor). There are two different types of instances, one with a value of R=1 and one with a value of R=-1.
The simulation end time should be 60. Please plot both V.v (which is the inverted input voltage) and OP5.out.v (output voltage). Compare this result with the CauerLowPassAnalog result.
Due to the recharging of the capacitances after switching the performance of simulation is not as good as in the CauerLowPassOPV example.
Parameters (7)
| l1 |
Value: 1.304 Type: Capacitance (F) Description: Filter coefficient i1 |
|---|---|
| l2 |
Value: 0.8586 Type: Capacitance (F) Description: Filter coefficient i2 |
| c1 |
Value: 1.072 Type: Capacitance (F) Description: Filter coefficient c1 |
| c2 |
Value: 1 / (1.704992 ^ 2 * l1) Type: Capacitance (F) Description: Filter coefficient c2 |
| c3 |
Value: 1.682 Type: Capacitance (F) Description: Filter coefficient c3 |
| c4 |
Value: 1 / (1.179945 ^ 2 * l2) Type: Capacitance (F) Description: Filter coefficient c4 |
| c5 |
Value: 0.7262 Type: Capacitance (F) Description: Filter coefficient c5 |
Connectors (19)
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n1 |
Type: NegativePin Description: Negative pin of an electrical component |
|---|---|---|
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n2 |
Type: NegativePin Description: Negative pin of an electrical component |
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n3 |
Type: NegativePin Description: Negative pin of an electrical component |
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n4 |
Type: NegativePin Description: Negative pin of an electrical component |
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n5 |
Type: NegativePin Description: Negative pin of an electrical component |
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p1 |
Type: PositivePin Description: Positive pin of an electrical component |
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n6 |
Type: NegativePin Description: Negative pin of an electrical component |
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n7 |
Type: NegativePin Description: Negative pin of an electrical component |
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n8 |
Type: NegativePin Description: Negative pin of an electrical component |
|
p2 |
Type: PositivePin Description: Positive pin of an electrical component |
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out1 |
Type: PositivePin Description: Positive pin of an electrical component |
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p3 |
Type: PositivePin Description: Positive pin of an electrical component |
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n9 |
Type: NegativePin Description: Negative pin of an electrical component |
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n10 |
Type: NegativePin Description: Negative pin of an electrical component |
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n11 |
Type: NegativePin Description: Negative pin of an electrical component |
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n12 |
Type: NegativePin Description: Negative pin of an electrical component |
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n13 |
Type: NegativePin Description: Negative pin of an electrical component |
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p4 |
Type: PositivePin Description: Positive pin of an electrical component |
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n14 |
Type: NegativePin Description: Negative pin of an electrical component |
Components (32)
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C1 |
Type: Capacitor Description: Ideal linear electrical capacitor |
|---|---|---|
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C2 |
Type: Capacitor Description: Ideal linear electrical capacitor |
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C3 |
Type: Capacitor Description: Ideal linear electrical capacitor |
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C4 |
Type: Capacitor Description: Ideal linear electrical capacitor |
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C5 |
Type: Capacitor Description: Ideal linear electrical capacitor |
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Op1 |
Type: IdealOpAmp3Pin Description: Ideal operational amplifier (norator-nullator pair), but 3 pins |
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G |
Type: Ground Description: Ground node |
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Op2 |
Type: IdealOpAmp3Pin Description: Ideal operational amplifier (norator-nullator pair), but 3 pins |
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Op3 |
Type: IdealOpAmp3Pin Description: Ideal operational amplifier (norator-nullator pair), but 3 pins |
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G1 |
Type: Ground Description: Ground node |
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C6 |
Type: Capacitor Description: Ideal linear electrical capacitor |
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Op4 |
Type: IdealOpAmp3Pin Description: Ideal operational amplifier (norator-nullator pair), but 3 pins |
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Op5 |
Type: IdealOpAmp3Pin Description: Ideal operational amplifier (norator-nullator pair), but 3 pins |
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C7 |
Type: Capacitor Description: Ideal linear electrical capacitor |
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C8 |
Type: Capacitor Description: Ideal linear electrical capacitor |
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C9 |
Type: Capacitor Description: Ideal linear electrical capacitor |
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G2 |
Type: Ground Description: Ground node |
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G3 |
Type: Ground Description: Ground node |
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G4 |
Type: Ground Description: Ground node |
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V |
Type: StepVoltage Description: Step voltage source |
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Ground1 |
Type: Ground Description: Ground node |
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R4 |
Type: SwitchedCapacitor Description: Switched capacitor which can represent a positive or negative resistance |
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R5 |
Type: SwitchedCapacitor Description: Switched capacitor which can represent a positive or negative resistance |
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R8 |
Type: SwitchedCapacitor Description: Switched capacitor which can represent a positive or negative resistance |
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R9 |
Type: SwitchedCapacitor Description: Switched capacitor which can represent a positive or negative resistance |
|
R1 |
Type: SwitchedCapacitor Description: Switched capacitor which can represent a positive or negative resistance |
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R2 |
Type: SwitchedCapacitor Description: Switched capacitor which can represent a positive or negative resistance |
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R3 |
Type: SwitchedCapacitor Description: Switched capacitor which can represent a positive or negative resistance |
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Rp1 |
Type: SwitchedCapacitor Description: Switched capacitor which can represent a positive or negative resistance |
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R7 |
Type: SwitchedCapacitor Description: Switched capacitor which can represent a positive or negative resistance |
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R10 |
Type: SwitchedCapacitor Description: Switched capacitor which can represent a positive or negative resistance |
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R11 |
Type: SwitchedCapacitor Description: Switched capacitor which can represent a positive or negative resistance |
Revisions
- January 13, 2006
by Christoph Clauss
included into Modelica Standard Library - September 15, 2005
by Peter Trappe designed and by Teresa Schlegel
initially modelled.