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Harmonic Oscillator with ideal Opamp models (Read 8668 times)
buddypoor
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Harmonic Oscillator with ideal Opamp models
Nov 29th, 2011, 6:19am
 
Hello, I have a question to all who are involved in electronic circuits.

However, the question is not techical but more or less linguistic and concerns the general speech comprehension.

Problem description: There are some configurations (I avoid the term „electronic circuits“) that exhibit oscillatory properties during transient simulations (in fact: they show self-sustained sinusoidal oscillations). However, only if IDEAL opamps are used. Therefore, only simulations can reveal threse properties.

As soon as real opamp models are used (at least one pole in the open-loop frequency response) there are no oscillations.
Instead, the amplifier output saturates immediately, because the mentioned amplifier pole is shifted to the right half of the s- plane (RHP).

The problem touches the validity of the well-known oscillation condition (Barkhausen) - and the question is simply:

Based on the general speech comprehension - should such a special configuration be called „circuit that is able to oscillate"? Even, if this is the case for ideal (artificial) models only?

Thank you
buddypoor (LvW)

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« Last Edit: Nov 29th, 2011, 7:23am by buddypoor »  

LvW (buddypoor: In memory of the great late Buddy Rich)
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loose-electron
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Re: Harmonic Oscillator with ideal Opamp models
Reply #1 - Nov 29th, 2011, 3:50pm
 
Could you better explain or illustrate the question?
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Re: Harmonic Oscillator with ideal Opamp models
Reply #2 - Nov 30th, 2011, 1:39am
 
loose-electron wrote on Nov 29th, 2011, 3:50pm:
Could you better explain or illustrate the question?


I am afraid that I have expressed myself not clear enough.
Therefore, I will reformulate my question:

1.) Assume that  there is an electronic circuit (hardware) that is not able to oscillate - in spite of unity loop gain  at one frequency f=fo only. This is neither a surprise nor a failure of Barkhausen’s criterion because this rule is only a necessary one.  
2.) Surprisingly, if this circuit is transferred to a simulation program and if an ideal opamp model (gain not frequency dependent) is used, the output shows a sinusoidal signal having a frequency fo. (By the way, I can explain this fact - but that is not my question).

Now the question:
How should I describe the property of that specific combination of passive and active parts with respect to the oscillation condition?

Is that circuit an oscillator in accordance with Barkhausen’s criterion: Yes or no?

Thank you


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Re: Harmonic Oscillator with ideal Opamp models
Reply #3 - Nov 30th, 2011, 11:10am
 
If I understand the question correctly:

Oscillation is conditional on two things:

Additive gain of a loop.
Phase/frequency characteristics of that loop.

You can do a behavioral model defined in those terms.

Does that get you an answer?
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Re: Harmonic Oscillator with ideal Opamp models
Reply #4 - Nov 30th, 2011, 11:14am
 
You may want to look at this:
http://web.mit.edu/klund/www/weblatex/node4.html

To me, this all goes back to control systems and Blacks Law.
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Re: Harmonic Oscillator with ideal Opamp models
Reply #5 - Dec 1st, 2011, 1:31am
 
The question is not very clear to me either, but I'll try to write something related to it.

If you talk about Barkhausen' criterion, it implies you're talking about harmonic oscillators. Not first order oscillators.

In 'steady state' condition, its poles don't move a lot, but in startup it does. This nonlinear behavior provides the startup. If you have ideal elements, which do not give any nonlinearity, they might have a problem oscillating, or startup vice verse. Please note that by 'movement of poles' I am not talking about (phase) noise, but deterministic movement of the poles.

The moving poles 'stuff' becomes even more clear when you talk about first order oscillators, where the poles exhibit a walk down the root locus in time. They stick on the real axes for the linear part, and only when the oscillator switches the poles move toward the imaginary axis, and at that point go up/down (becoming complex).

I suggest using phase planes (nonlinear dynamics theory), theory on moving poles, etc,  to get deeper understanding of the problems you see.
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Re: Harmonic Oscillator with ideal Opamp models
Reply #6 - Dec 1st, 2011, 3:15am
 
loose-electron wrote on Nov 30th, 2011, 11:14am:
You may want to look at this:
http://web.mit.edu/klund/www/weblatex/node4.html
To me, this all goes back to control systems and Blacks Law.


Loose-electron, thank you for this link to a "funny" contribution from K.H. Lundberg (2002). I know this text since several years - and I also have given to Lundberg some comments and corrections.
But as it seems he sees no necessity to modify his conclusions like the first and the last sentence:
"The  Barkhausen Stability Criterion is simple, intuitive, and wrong."
"Down with Barkhausen"
Even the headline is wrong: Barkhausen never has formulated a "stability criterion".
Perhaps he likes such provocative formulations - even when the are wrong.
To me he has (a) never read the original text from Barkhausen and (b) never heard about the difference between "necessary" and "sufficient".
None of these terms is even mentioned in his article.
In the mean time (within the last 3...4 years) a discussion took place in the magazine "Analog Integrated Circuits and Signal Processing" dealing with the validity of Barkhausen's condition (based on some so called "counter examples" introduced by V. Singh). For my opinion, there is a wide agreement that Barkhausen has formulated a necessary condition only (I can confirm this as I have his book on my desk).
Besides this, of course Black's formula is the basis for all calculations of feedback systems. And - as I have mentioned - I have no problems to explain the differences between the behaviour of both alternatives (ideal vs. real opamp model). My only concern is: Does it make sense to investigate per simulation a "circuit" based on an ideal opamp that never can be build - and that behaves completely different if real amplifiers are used?
Thank you    
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Re: Harmonic Oscillator with ideal Opamp models
Reply #7 - Dec 1st, 2011, 3:20am
 
Lex wrote on Dec 1st, 2011, 1:31am:

................
I suggest using phase planes (nonlinear dynamics theory), theory on moving poles, etc,  to get deeper understanding of the problems you see.


Hi Alexander, thanks for replying.
However, as mentioned in my reply above you see that I have no technical problem. I can explain and verify the behaviour of both alternatives (including pole movements).
Nevertheless, thank you again.
Regards
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Re: Harmonic Oscillator with ideal Opamp models
Reply #8 - Dec 1st, 2011, 11:02am
 
hello,
@ alexder: can  you please tell me where to study about moving poles (i donno any thing about moving poles)

@ buddypoor: hello buddypoor, you have written "Surprisingly, if this circuit is transferred to a simulation program and if an ideal opamp model (gain not frequency dependent) is used, the output shows a sinusoidal signal having a frequency fo", is really worked, i guess you have to add some passive ckt which makes gain drops at least and infact with gain dependent amplier also works because after all you are having some gain drop in the opamp so you will reduce the phase shift required by the passive network. Correct me if i am wrong.

do you have the book which decribes counter examples? please tell me the exact title so that i can read.

Thanks,
Raj.
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Re: Harmonic Oscillator with ideal Opamp models
Reply #9 - Dec 1st, 2011, 11:52am
 
raja.cedt wrote on Dec 1st, 2011, 11:02am:
...........................
i guess you have to add some passive ckt which makes gain drops at least and infact with gain dependent amplier also works because after all you are having some gain drop in the opamp so you will reduce the phase shift required by the passive network. Correct me if i am wrong.

do you have the book which decribes counter examples? please tell me the exact title so that i can read.
Thanks,
Raj.

What do you mean with "you have to add...".
In contrary, I do not want to add some circuitry to let the gain drop because I want to demonstrate the influence of an ideal opamp model.
Of course, as I have mentioned already, the real model behaves differently.

Regarding "counter-examples" I only can give you a reference to some magazine articles. Have you access to "Analog integrated circuits and signal processing" ?
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Re: Harmonic Oscillator with ideal Opamp models
Reply #10 - Dec 1st, 2011, 11:53am
 
Hello buddypoor,
what i mean to say is when you have ideal opamp without any frequency dependent gain, there should be some netwrok in the loop which reduces the loopgain to 1 at some frequency.

regarding articles, please send me if you can otherwise please tell me the name so that i can find some otherway to download.

Thanks,
Raj.
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Re: Harmonic Oscillator with ideal Opamp models
Reply #11 - Dec 1st, 2011, 2:13pm
 
buddypoor wrote on Dec 1st, 2011, 3:15am:
My only concern is: Does it make sense to investigate per simulation a "circuit" based on an ideal opamp that never can be build - and that behaves completely different if real amplifiers are used?
Thank you    


Completely different? Yes and No.

Use of ideal models are a simplified method to gain a better understanding of something.

We all use those all the time.

Also, an ideal op-amp can be dropped into the middle of something, and then add gain limitations, and explicit phase-gain properties outside the ideal amplifier.

That lumped model allows investigation into the separate parameters of the model.

i.e. adjust gain, phase characteristics without a need to redesign an entire device down at the transistor level.

Depends on what you are trying to achieve? Understanding the characteristics of something or building a circuit to plug in and turn on?

We all do both in this
business/profession/area of study/obsession
(pick one)  :D
to varying degrees.
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Re: Harmonic Oscillator with ideal Opamp models
Reply #12 - Dec 2nd, 2011, 1:33am
 
loose-electron wrote on Dec 1st, 2011, 2:13pm:
Completely different? Yes and No.
Use of ideal models are a simplified method to gain a better understanding of something.
We all use those all the time.
Also, an ideal op-amp can be dropped into the middle of something, and then add gain limitations, and explicit phase-gain properties outside the ideal amplifier.
That lumped model allows investigation into the separate parameters of the model.
i.e. adjust gain, phase characteristics without a need to redesign an entire device down at the transistor level.
Depends on what you are trying to achieve? Understanding the characteristics of something or building a circuit to plug in and turn on?


Hi Loose-electron.
In principle, I agree with all of the above.
But I think my description of a specific case (my first posting opening this thread) can serve as an example that your explantions/justifications of idealized models do not always apply.
As I have reported, there are circuits that show a behaviour that is strongly dependent on the amplifier model used for simulation (ideal or real). It is obvious that this cannot lead to a "better understanding" of the circuit and it's function.
On the other hand, if one is able to understand the reason for the observed phenomena, this certainly will enlarge the knowledge of system theory and related areas.    
Perhaps it's useful to give you a very simple example:
Try to simulate an IDEAL opamp with positive resistive feedback (10k/1k).
Of course, such a circuit will not work as an amplifier. However, all simulations (OP, AC, DC, TRAN) will result in a stable inverting amplifier with a gain of 20 dB. Does this lead to a better understanding of amplifiers?
And it is a fact, that the simulator did not make any error at all. The result is correct!
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Re: Harmonic Oscillator with ideal Opamp models
Reply #13 - Dec 2nd, 2011, 2:04am
 
buddypoor wrote on Dec 2nd, 2011, 1:33am:
...
Perhaps it's useful to give you a very simple example:
Try to simulate an IDEAL opamp with positive resistive feedback (10k/1k).
Of course, such a circuit will not work as an amplifier. However, all simulations (OP, AC, DC, TRAN) will result in a stable inverting amplifier with a gain of 20 dB. Does this lead to a better understanding of amplifiers?
And it is a fact, that the simulator did not make any error at all. The result is correct!

Interesting example. And the result is correct because an IDEAL opamp model contains a control loop....

- B O E
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Re: Harmonic Oscillator with ideal Opamp models
Reply #14 - Dec 2nd, 2011, 6:48am
 
buddypoor wrote on Dec 2nd, 2011, 1:33am:
 
Perhaps it's useful to give you a very simple example:
Try to simulate an IDEAL opamp with positive resistive feedback (10k/1k).
Of course, such a circuit will not work as an amplifier. However, all simulations (OP, AC, DC, TRAN) will result in a stable inverting amplifier with a gain of 20 dB. Does this lead to a better understanding of amplifiers?
And it is a fact, that the simulator did not make any error at all. The result is correct!


This example is useful in understanding the question in your initial posting.

I would not refer to this ideal opamp with positive feedback circuit as an amplifier because it is only functioning as an amplifier because it is excessively idealized.
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