Power Electronics notes from March 19th

6th-Semester-Spring-2024/SysCon/Notes/SysCon-Notes.tex

@@ -328,3 +328,22 @@ $$G(s) = {C(s) \over R(s)} = {\sum_k T_k \Delta_k \over \Delta}$$
 where $k$ is the number of forward paths, and $T_k$ is the gain of the $k^\text{th}$ forward-path, $\Delta$ is the determinant of the signal flow graph, and $\Delta_k$ is the associated path factor.
 \end{document}
 
+
+\section{Routh-Horwitz Criteria}
+
+The Routh-Hurwitz Stablitiy Criterion determines whether a polynomial transfer function is stable, unstable, or marginally stable. It determines whether poles are in the left or right half plane or on the imaginary axis, but it will not determine where in those regions the poles are.
+
+\begin{enumerate}
+	\item Determine if all coefficients have the same sign and are non-zero. If any coeffieient has zero value or a different sign, the system is unstable.
+	\item Create the Routh array
+\end{enumerate}
+
+\ex{Routh Table}
+{
+	$$p(s) = s^5 + 5s^4 + 11s^3 + 23s^2 + 28s + 12 = 0$$
+	\begin{matrix}
+		s^5 & 1 & 11 & 28 \\
+		s^4 & 5 & 23 & 12 \\
+		s^3 & 6.4 & 25.6
+	\end{matrix}
+}