Hi,

I would like to calculate the generated frequency from my voltage-to-frequency converter.

I need a mathematic formula.

Here is scheme:

As you can see, capicator 0.1u in negative op-amp input is being charged to 0V (positive input) by input resistor and voltage. This is the easy part.


After op-amp output changes to negative, capicator is discharged to negative voltage. And to calculate the formula, I need to know this voltage.

Just after the op-amp switch, we can simplify the circuit:
(C2 is polystyrene cap)



I tried to calculate this in Lamplace transform, but I don't know how to model the voltage reference.

Formula for 0.1u capicator voltage (in time domain) is all I need.

Please, give me some hints.

Thanks

 

The schematic claims that the input is 0V to 10V and that the output frequency is 1kHz to 10kHz with 0.005% linearity.

Assuming they are correct, then you can figure out the nominal frequency as a function of input voltage from the two endpoints.

In any simplified circuit that you want to apply Laplace to, you need to make sure that there are NO nonlinear components since Laplace transforms only apply to linear systems.

 

In any simplified circuit that you want to apply Laplace to, you need to make sure that there are NO nonlinear components since Laplace transforms only apply to linear systems.

So I can't fully apply Laplace to model Zener diode, but maybe there is a way to model one of the states of this voltage reference.

Just like I did with normal diode - I replaced it with 0.7V voltage source.


I can't put a voltage source there, because the capicator needs to "see" the 1.5 resistor (it's being charged through it).

 

You need to replace the diodes with their linearized approximations. A constant voltage source is the most simple one, but you can also include a series resistor, which is probably what you need here. But also be sure that the circuit is supposed to normally turn on those diodes. I haven't looks at the circuit close enough to know whether they should or shouldn't.