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I want to paraphrase this please paraphrase all the text The Pejovic Switch Mode

ID: 2265632 • Letter: I

Question

I want to paraphrase this please paraphrase all the text  

The Pejovic Switch Model

The equations for the conductance (Gs) and the parallel current source can be derived by applying numerical integration to the equations of an inductor and a capacitor. In [18], the authors picked the Backward Euler method. With this technique, the following equation for the switch conductance is obtained.

The choice of other numerical integration methods to derive different switch models is possible. However, certain problems arise when some of these techniques are used. For example, Pejovic and Maksimovic derived another switch model using the trapezoidal algorithm. When the switch model was used in a buck converter, it resulted in oscillatory switch voltage. In fact, the switch model obtained by the trapezoidal algorithm is equivalent to the transmission-line switch model presented in [17].

Explanation / Answer

Now, let's talk about the popular Pejvoic Switch Model.
Numerical Integration of the equations of an inductor and a capacitor would get you the equations for conductance (Gs) and the parallel current source. As you can see, authors plugged the Backward Euler Method in [18]. We can further reach to the following equation with this method.
We can also derive other switch models with the help of different numerical integration methods. However, there are some setbacks with some of these methods. For instance, when Pejovic and Maksimovic method was used it resulted in a different switch model, this method employed the trapezoidal algorithm to derive the switch model. We got oscillatory switch voltage when used this derived switch model in a buck converter. In fact, trapezoidal algorithm resulted in a different switch model altogether, very much equivalent to the transmission line switch model shown in [17].

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