Design an opamp circuit with this transfer function on 3 voltage inputs

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SUMMARY

This discussion focuses on designing an operational amplifier (op-amp) circuit that processes three voltage inputs, utilizing a voltage summer and an integrator. The circuit design encounters a challenge with negative capacitance, which arises from the Miller integrator's inherent signal inversion. To address this, the user must consider inverting the signal in the integration branch to negate the negative output. The calculated resistance values include R_2 at -44 kilo Ohms, indicating a need for further adjustments in the circuit design.

PREREQUISITES
  • Understanding of operational amplifier circuit design
  • Familiarity with voltage summer configurations
  • Knowledge of integrator circuits and their applications
  • Basic principles of signal inversion in electronic circuits
NEXT STEPS
  • Research the design and implementation of op-amp integrators
  • Learn about voltage summer circuits and their configurations
  • Explore techniques for managing negative capacitance in circuit design
  • Study methods for signal inversion in op-amp circuits
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Electronics students, circuit designers, and hobbyists interested in operational amplifier applications and circuit troubleshooting.

DaniilMP3
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TL;DR Summary: Build a circuit of given operation on voltages

I'll appreciate any help.
I need to create circuit of this operation on three voltages:
CodeCogsEqn (1).png

We'll use circuit of voltages summer:
Screenshot_2.png


The third term is the integral of U_3, so we'll use integrator:
Screenshot_3.png


Than, calculate capacitance:
CodeCogsEqn (4).png

And on this step we have negative capacitance. Is it possible? Or I did something wrong?
Next, we calculate R_1, R_2.
Screenshot_4.png

And here we have -44 kilo Ohm for R_2.
 
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Welcome to PF.

Is this homework?

The negative sign comes from the simple op-amp based Miller integrator inverts the signal. If you want to cancel the negative sign, you will need to invert the signal in that branch, before or after the integration.
 
Hi, yes. This is homework. Thank you for your response.
 
Last edited:
DaniilMP3 said:
Hi, yes. This is homework.
(Thread moved to the schoolwork forums)
 

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