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solve transient circuit with diode
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Hello to everyone!
I'm dealing with the mathematical model and its solution for a simple circuit in presence of a non linear component like the diode in Matlab (I'm able to solve the problem via simulink).
Usually, when I would like to study the transient of a circuit, I use ode45 and the state-space model.
Now, I'm trying to build an equation set able to describe the time evolution of the circuit in the picture with a diode and a sinusoidal voltage source.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/279793/image.png)
In order to treat the diode, I'm using the simplified Shockley equation i.e.
(where
and
are constants). This implies to deal with the exponential function or a logarithmic function in case I would prefer to describe the diode by means of the voltage
.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/279794/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/279795/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/279796/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/279797/image.png)
Unfortunately, I'm not able to go ahead from this point as I cannot write a set of ODEs and I never dealt with non linear components in this context.
Could somebody give me some hint?
Thank you!
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