Question: Two power systems have the transmission matrices below. If these systems are cascaded, determine their equivalent transmission matrix: [ left[T_{1}ight]=left[begin{array}{cc} 1 & j 2

Two power systems have the transmission matrices below. If these systems are cascaded, determine their equivalent transmission matrix:

\[
\left[T_{1}ight]=\left[\begin{array}{cc}
1 & j 2 \\
0 & 1
\end{array}ight],\left[T_{2}ight]=\left[\begin{array}{cc}
1 & 0 \\
j 2 & 1
\end{array}ight]
\]

1) \(\left[\begin{array}{cc}-3 & j 2 \\ j 2 & 1\end{array}ight]\)

2) \(\left[\begin{array}{cc}5 & j 2 \\ j 2 & 1\end{array}ight]\)

3) \(\left[\begin{array}{cc}2 & j 2 \\ j 2 & 2\end{array}ight]\)

4) None of them

Step by Step Solution

3.31 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Systems Analysis Design Questions!