1 answer

2) Take the following system. It represents the frequency control of a steam-turbine gener- ator unit...

Question:

2) Take the following system. It represents the frequency control of a steam-turbine gener- ator unit Assume TRH = 6, FHP = 0

2) Take the following system. It represents the frequency control of a steam-turbine gener- ator unit Assume TRH = 6, FHP = 0.3, Tg = 0.1, and M = 10, D = 1.0 (Both in p.u.) Ape Load ref. Tos+1 11+TRE PS 1+TRHS DUM (Note that AP represents the change in electric load. - Assume that the load APe, increases by 0.01 p.u. What is the effect on the frequency, if the droop R was infinity, i.e., what is the frequency deviation if no governors were present? -Plot the root-locus as k = 1, varies from zero to infinity. -Set R=0.05, Assume that the load changes as a step function AP = 0.01u(t) p.u. What is the effect of the change in the load on the frequency?

Answers

5 * Gruen TRA = 6; Fap = 0.3; TG=ool & M= 10; D=1 PE=0.0ipu Δώ. 1 + 6x0.33 1+68 0.13+1 THIOS Black diagram T YRI reduction teGls) I (59+1) (1+51:0) 10:0-( 2081 +0) (89+1) (1+510)s (S01+1) 20 2014 HIS) (9,49 (99+1)(10.0+ 8€_9140)=28817 5 (soitt) (99+When the System is open-loop, then the effect on the frequeny s dretty controlled by their load Value APE . Loud Aww) KOY Refoctave: 2 source(almy_scriptasafsadasd.m) num = 1.800000 0.933300 -0.010000 den = 6.00000 61.60000 16.10000 1.00000 0.00000Part co Refer From part-a for the transfer function be > Rai = 1.852 +0.9338-0:0) 684 +61.683+16.18275 664 +6.69236 ***** aonOutput: 1.8000 0.9333 -0.0100 den = 6.0000 61.5000 16.1000 1.0000 0 sys = 1.8 s^2 + 0.9333 s - 0.01 --------- 6 5^4 + 61.6 5^

MATLAB code:

num=[1.8 0.9333 -0.01]
den=[6 61.6 16.1 1 0]
sys=tf(num,den)
step(sys)
stepinfo(sys)

.

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