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MATLAB is the programming environment, you need to program in the command window or m files. SIMULINK is used to do simulations, it has many blocks ,you just need to drag and connect them as you need.
how to connect power capacitor with 3 phase motor
If the capacitor is charged then the battery will explode.
To connect it to the circuit.
No, you would need an alternating capacitor to connect.
To help produce voltage.
Yes, you can connect a polarized capacitor to a direct current. Make sure you get your polarization is correct.A non polarized capacitor can be connected in a DC circuit as well. "Non Polarized" just means it does not matter which side of the capacitor is positive. If you attempt to connect a polarized capacitor in a DC circuit backwards, you will know when the capacitor explodes.
One of the main advantages of Simulink is the ability to model a nonlinear system, which a transfer function is unable to do. Another advantage of Simulink is the ability to take on initial conditions.
Simulink provides a Simulink model for digital to analog converter. we can use such blocks or models for this purpose.You can use xPC target built in Simulink, but you will have buy a xPC card to install on your target computer and run it in host computer.
improvement of power factor
Very Carefully
Simulink is a package that is available along with Matlab. But these two are licensed. These can not be downloaded for free. One can purchase the package.