Is this a good speaker model

[techninja80]

So again I am self taught so I probably don't know principles I should, so forgive me. I was trying to make some example amplifier circuits when I realized I needed a way to simulate a speaker. I came across this article https://circuitdigest.com/electronic-circuits/simulate-speaker-with-equivalent-rlc-circuit and thought this look really neat. So I went ahead and modeled it and was getting similar results. 

So what I am asking from you wonderful wizards of the electron. Is this actually a good model, as it seems to use discrete components to simulate some real world physics which I am really impressed by. And second What other type of tests can I through at the circuit, and what type of responses should I get from those tests so that I can evaluate if this is a decent model for speaker.

Thanks you so much in advance, I have attached my results from the tests suggested in the article.

[Sensorcat]

I came across this article https://circuitdigest.com/electronic-circuits/simulate-speaker-with-equivalent-rlc-circuit and thought this look really neat.

Looks as if he knows his subject (I did not read the arcticle completely.).

So what I am asking from you wonderful wizards of the electron. Is this actually a good model, as it seems to use discrete components to simulate some real world physics which I am really impressed by. And second What other type of tests can I through at the circuit, and what type of responses should I get from those tests so that I can evaluate if this is a decent model for speaker.

It is common practice to model the effects outside of the electric domain into it by models of this kind. These models always use R, L, C, independent sources, and controlled sources to provide the same electric behaviour at the ports. Their structure, however has little to do with the structure of the device modeled. The only purpose of this model is to make the load for V1 'look' like a speaker - impedance-wise, at the ports. Since speakers have a mechanical resonance, a tank circuit is used to electrically mimic what happens mechanical in the speaker. In your plot, this resonance is visible just below 30Hz.

To check if the parameters of the model fit for your case, you must compare the already simulated frequency response to a measured one. Only R1 and L1 can be measured directly at the speaker. C1, C2, L2, and R2 are not 'there' but an abstract representation of the meachnical device speaker. The challenge is to find these values. The article explains how they are calculated from detailed data of the speaker, but not how measure them. I'm not a speaker expert (my background in modeling and simulation made me reply), but I assume that the resonance frequency of the speaker is relatively easy to measure, and of highest importance here.

If you ask whether this model is in principle useful for your work: Well, any model is a compromise. The real speaker will have many properties this model has not (e.g. a 2nd resonance), but with each property/issue/item included in the model, the complexity rises, together with the effort to find the increasing number of parameters.

Next question is: If you have them, what to do with the model? If you want to study how stuff works, this is something interesting. But AFAIK, audio amplifiers are designed for a flat frequency response, and then you live with the fact that speakers hardly ever have one.

[RJSV]

   I would guess, also, that the enclosure puts another factor in;  maybe changing the resononce usually to a lower value.  An enclosure is putting more mechanical 'stiffness' into the observed paper cone motion, although how or if that affects a virtual R value not sure.

RickJack