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Capacitor Multipliers in Pulse Generator circuit

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Aisha.Raj

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PROBLEM STATEMENT
Without using a microcontroller or a dedicated timer IC, implement a circuit which, when a trigger is applied , will provide a +ve pulse of amplitude 3V, whose width can be varied from 0.1ms to 10s. You may not use any capacitor greater than 1uF or resistor larger than 470kohm. You are provided with op-amps which operate off + or – 10V. Provide a provision to continuously vary the duty cycle from 25% to 75%.

MY SOLUTION
Monostable multivibrator to provide positive one-shot pulses ( stable state is –Vcc) of amplitude +Vcc.
Pulse Width varied by varying R1C1 time constant . So I fixed R1 = 470kohm and varied C1 . But C1 cant take values greater than 1uF . So I want to use a capacitance multiplier to increase the value of capacitance and also this capacitance has to be varied so I will vary the gain(R7/R6) of the capacitance multiplier.
Duty cycle can be varied by varying the R2C2 time constant of the trigger circuit (which is basically a passive RC differentiator-high pass filter to which square waves of time period T>> R2C2/10 is fed by a function generator) . Here too I fixed R2 = 470kohm and varied C2 . Since very large and variable C2 values were required for this , I again want to use a variable gain capacitance multiplier as above.
So essentially I am using 2 different – variable gain capacitance multiplier whose capacitance value b/w i/p and o/p node is 1uF , and the amplified version of which is seen from the input side ( due to Miller’s Effect) given by the equation, Cin =C(1+R7/R6) where either R7 or R6 is a variable resistance.
Then at the o/p stage of the multivibrator , I put back to back zeners to clip the voltages to (Vz + Vf) and –(Vz to Vf) which roughly estimates to be +(3.3+1.1) and –(3.3+1.1) (ie) 4.4V to -4.4V. Zeners used have a forward drop of 1.1 V max and Vz = 3.3 V (1N5226) . This is further clipped by using a +ve clipper circuit of 2 pn- diodes (1n4001 of Vd =0.7V ) and a load resistor Rl = 10kohm .
The o/p of this entire design is taken from Rl (10kohm) .

MY PROBLEMS
1. I do not know how to connect the capacitance multipliers to my circuit such that , for one capacitance multiplier Cin appears as C1 and the other capacitance multiplier Cin appears as C2.
2. Will there be any effects due to frequency which’ll impede the working of my circuit as it should behave?? Because I remember that Miller effect has something to do with frequency. I ask this as to provide the required pulse width and duty cycle I may have to give the input to the trigger from few Hz to few MHz . So will the circuit function good for this ??
3. Also, at the clipper end I used a random value of Rl as 10kohm. Is there a specific way to choose this Rl value???
4. Any other problems I will face while simulating or implementing this circuit that you can see. Any errors in logic or design that you can detect???

I’d be really grateful if you could advice me suitably on the issues I raised . I have been given a deadline – 20th Feb 2013, gotta present the design to my panel on 21st . So I’d be extremely happy if we can figure out something by then ……Sorry for the extreme short notice and tks for your help in advance.

I am attaching the circuit with this post.

Circuit.png
 

Some points regarding "capcitance multiplier".
- you didn't mark the input node correctly, which is actually the inverting input of U2
- it's only working as a ground connected virtual capacitance, in so far can't be used in place of C2
- the useable voltage range drops for >2 multiplier factors. Thus it isn't of much use for the shown multivibrator circuit.
 

Some points regarding "capcitance multiplier".
- you didn't mark the input node correctly, which is actually the inverting input of U2
- it's only working as a ground connected virtual capacitance, in so far can't be used in place of C2
- the useable voltage range drops for >2 multiplier factors. Thus it isn't of much use for the shown multivibrator circuit.

Sry the non inverting end is the input end

- - - Updated - - -

The actual corrected circuit is hereCircuit.png
 

PROBLEM STATEMENT
Provide a provision to continuously vary the duty cycle from 25% to 75%.

The duty cycle of what?

Do you want a positive trigger or a negative one?
I've a doubt on the diode D6 in your schematic.

is it necessary to use a capacitor multiplier?
 

My apologies for creating such a big confusion....... my design question has been modified


I now have to design a circuit which provides a train of pulses of width ranging from 0.1ms to 1s of duty cycle that can be varied from 25% to 75%

As suggested i have decided to go with the astable multivibrator configuration. My trigger is actually giving supply to the op amps , ie when i give a signal to an electronic switch , it has to close a circuit which provides the Vcc to my astable multi-vibrator. I was given an idea to use components like CD4051,CD4052 , CD4053 . Can someone explain what they are???? I tried googling it but i couldnt understand much from the datasheets!!!!

But yet again i gotta use a capacitance multiplier to amplify and vary my capacitance value ........
How do i vary dutycycle now ???

I finally have got hold of the capacitance multiplier circuit.......Could someone please find the transfer function of it ( Relation connecting input and output ) ??? I would be grateful if someone can give me the derivation of the transfer function, as i am not able to zero in on it even after several attempts!!!!!

I am attaching the circuit along

- - - Updated - - -

My apologies for creating such a big confusion....... my design question has been modified


I now have to design a circuit which provides a train of pulses of width ranging from 0.1ms to 1s of duty cycle that can be varied from 25% to 75%

As suggested i have decided to go with the astable multivibrator configuration. My trigger is actually giving supply to the op amps , ie when i give a signal to an electronic switch , it has to close a circuit which provides the Vcc to my astable multi-vibrator. I was given an idea to use components like CD4051,CD4052 , CD4053 . Can someone explain what they are???? I tried googling it but i couldnt understand much from the datasheets!!!!

But yet again i gotta use a capacitance multiplier to amplify and vary my capacitance value ........
How do i vary dutycycle now ???

I finally have got hold of the capacitance multiplier circuit.......Could someone please find the transfer function of it ( Relation connecting input and output ) ??? I would be grateful if someone can give me the derivation of the transfer function, as i am not able to zero in on it even after several attempts!!!!!

I am attaching the circuit along
 

Attachments

  • Capmulckt.png
    Capmulckt.png
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A capacitance multiplier is an active circuit that simulates the behaviour of a capacitor, either ground referenced (as the circuit shown in post #3) or floating. It's "transfer function" is an impedance. I don't understand how the circuit in post #5 should be used as a capacitance multiplier and how a Vout/Vin transfer function could characterize it.
 

My apologies for creating such a big confusion....... my design question has been modified


I now have to design a circuit which provides a train of pulses of width ranging from 0.1ms to 1s of duty cycle that can be varied from 25% to 75%

As suggested i have decided to go with the astable multivibrator configuration.

The circuit in your previous post is a monostable multivibrator. Isn't it?

My trigger is actually giving supply to the op amps , ie when i give a signal to an electronic switch , it has to close a circuit which provides the Vcc to my astable multi-vibrator. I was given an idea to use components like CD4051,CD4052 , CD4053 . Can someone explain what they are???? I tried googling it but i couldnt understand much from the datasheets!!!!

It isn't very clear (that ic are multiplexer/demultiplexer).

Could you provide, if is it possible, the text of the exercise or a more detailed specification of what you have to do?

Thanks...
 

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