Switching-Converter Dynamic Analysis with Fast Analytical Techniques: Overview and Applications

Abstract

If mesh-node analysis lends itself well to solving transfer functions of electrical circuits, obtaining a meaningful symbolic formula at once is often impossible and requires extra efforts to get it. Applying classical analysis techniques to obtain a so-called low-entropy expression-implying the factored form in which you distinguish gains, poles, and zeros-can often lead to algebraic paralysis, as R.D. Middlebrook commented in his foundational papers [1], [2]. This is where the fast analytic circuits techniques (FACTs) can help you build on what you learned during your years at university and extend the reach to drastically simplify analyses. By using FACTs, you not only gain in execution speed, but the final result appears in a wellordered polynomial form, often without the need of further factoring efforts [3], [4].