Abyss & Game of Polynomials & Coefficients : Some Stable Compensators
From 50 Hz to 1999 kHz - Part II
Abstract
In the first part, uncompensated and unstable polynomials from 2nd
order to 10th order are mentioned and it was also concluded that control
loops are unstable, the change in coefficients could be seen in the
list. In this part, rather taking such unpractical or impractical
circuit (or novel B circuit or novel B-topology), a practical
‘buck-boost’ known circuit and its stability has been explored. The
known working circuit is assumed as a black box and is declared as
equipment under test (EUT) with just input and output and the control
loop stability would be investigated using compensators. The author
examines the stability and analyses how the abyss of coefficients change
with respect to different compensators when the MOSFET switching
frequency is changed from 50 Hz to 1.999 MHz or 1999 kHz.
Due to large number,this paper studies the abyss of stability and
unstability, the game of coefficients, upto third order polynomials. The
Bode plots of the compensators designed with P, I, PID, series PI,
parallel PI, One pole one zero (1P1Z), multipoles, two pole two zero
(2P2Z) and three pole three zero (3P3Z) are submitted. The known theory
is also explained as summary.
This paper is also the transcript of the proposed invited talk as
speaker in some conference.