Power System Operation and Control

5.7 MATRIX REPRESENTATION OF ALL STATE EQUATIONS

 

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,    ẋ = Ax¹ + Ax_ss + BU¹ + BU_ss + Fd      (5.19)

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