Block diagram transformation

14.1

7.1.5. Transformation of the turbogenerator block diagram
Loop G1(p) = Δω* / ΔMэ*, reflecting the inertia of the

turbogenerator. Load mode:
Δω*
ΔMизб.*
  = 
1
p · TJ
TJ — inertia constant of the turbo-unit.
In accordance with [L1]:
TJ = 2H, where H = Wк / Sб;  Wк = ½ · J · ωн2
H = 
J · ωн2
2 · S3б
 ;    TJ = 
J · ωн2
S3б
Moment of inertia of the turbo-unit:
J = 
GDгенер2 + GDвозб2
4
  + ∑(m·ρ2)турб = 
 = 
14·103 + 4.3·103
4
  + 83.8·103 = 90·103 N·m·s2
TJ = 
90·103 · 3142
889·106
  = 10 s
G1(p) = 
Δω*
ΔUэ*
  = 
TJ p
1 + D·1/ TJ p
  = 
1
TJ p + D
  = 
 = 
1 / D
(TJ / D)p + 1
  = 
1 / D
T1 p + 1
 , where
D — damping coefficient, we accept D = 2
T1 = 
TJ
D
  = 
10
2
  = 5 s