I was trying to derive a model for Opamp Hartley oscillator. I used a R at mouth of opam to increase the output impedance. So i tried including it in calculation. As the opamp is modeled as output voltage of Avi so using a R in series with it with help me to reconfigure the circuit changing the circuit voltage source into a current source using source transformation theorem. Here are my calculations. Can you tell me where i messed up.

 

There is an example of a typical Hartley Op-amp configuration in the page linked below. Scroll down towards the end to find "Hartley Oscillator Op-amp Circuit".
https://www.electronics-tutorials.ws/oscillator/hartley.html

 

Sorry - but I must state that the opamp-based Hartley oscillator as shown in the linked document does not work. The circuit was derived from a transistor-based oscillator without considering the fact that the opamp is a voltage source (and not a current source). Hence, the inductor L2 acts as a pure load - and has no influence on the feedback path.

 

Sorry - but I must state that the opamp-based Hartley oscillator as shown in the linked document does not work. The circuit was derived from a transistor-based oscillator without considering the fact that the opamp is a voltage source (and not a current source). Hence, the inductor L2 acts as a pure load - and has no influence on the feedback path.

Hi, Yes i am aware of the problem that's why I attached an external resistance, Ro at ouput terminal. Then by using Norton Source transformation i transformed the voltage source Avi into a current source Avi/R

 

Hi, Yes i am aware of the problem that's why I attached an external resistance, Ro at ouput terminal. Then by using Norton Source transformation i transformed the voltage source Avi into a current source Avi/R

And what is your problem now?
I think, it would be helpful to see the circuit diagram your eqivalent small-signal diagram is based on.

 

the problem is A i have calculated is based of Ro and many literature and simulation state otherwise. You can see the calculations above.

 

It really would be helpful to see the circuit diagram.
What is "A"? The loop gain?