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Electric power is the rate at which electrical energy is transferred by an electric circuit. The SI unit of power is the watt (one joule per second). Use this tag where power is a primary concern for the design under discussion. Use the "low-power" tag when that applies.
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How can I model this linear power system in MATLAB?
For my power system, let us suppose it has the following dynamic model: \$\ x ' = f(x,u)\$.
This dynamic model consists of four first order differential equations (see below). … Let us make it zero for now
Let us assume that the disturbance in the power input of the generator is just 30% (0.3 pu) for only 1 second.
"A" is a 4 x 4 matrix. …
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Designing a PI controller for my power system
I have a power system which is given as:
Using MATLAB, I found the system's response to be:
As you can see, the system is not stable. … Therefore, my new system will be:
Please, know that:
\$\ P(s) = C [sI-A]^{-1} B \$
\$\ \Delta x ' = A \Delta x + B u \$
\$\ Y= C \Delta x \$
Since we are dealing with a real power plant system …