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Power System Operation and Control by N. V. Ramana

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5.7 MATRIX REPRESENTATION OF ALL STATE EQUATIONS
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It is in the form of

ẋ = Ax + BU + Fd

U – control vector

d – disturbance vector

x – state vector

Equation (5.18) is converted into standard state space model form.

i.e. ẋ = Ax + Bu is written as follows:

If x is made up of the sum of transient and steady state value, and U is also made up of transient and steady state value, then

. then substitute in the equation ẋ = Ax + BU + Fd

Therefore,     = Ax1 + Axss + BU1 + BUss + Fd      (5.19)

If a sudden disturbance occurs and the system reaches the ...

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