Power System Operation and Control

5.6 STATE SPACE MODEL FOR SINGLE AREA

Let U = ∆P_C be the state created by the linear combination of all our system state variables (x). We define the state with the block diagram shown in Fig 5.10.

x₁ = ∫ Δf₁dt      U = ΔP_C.

x₂ = Δf    d = ΔP_D

x₃ = ΔP_G(s)

x₄ = ΔP_sg (Speed governer)

From Block (1)

Fig 5.10 Single area state space model diagram

From Block (2)

From Block (3)

From Block (4)