I'm setting a 51V relay (voltage controled/restrained backup overcurrent)
on a hydro generator. I'm going through the procedure in the Buff book
(ANSI/IEEE Std 242-1986) and am plotting the decrement curves as they did.
My question:
The synchronous portion of my total current curve is higher in magnitude than
the transient current. This may be possible in generators... I don't know
(thats why I'm posting). I would expect the current to go from a high, sub-
transient magnitude to a lower, transient magnitude and go into steady state
at a still lower magnitude (synchronous).
Anyone with generator parameter experience of Std 242-1986 please help.
The equations are:
1) Field forcing 3PU field current
Iac = .953exp-50t - .324exp-.455t + 3 (pu, multiply by 1464 for Amps)
2) Constant excitation (stuck regulator)
Iac = .953exp-50t + 1.676exp-.455t + 1 (pu, bla bla bla as above)
3) DC offset
Idc = sqrt(2.0)*3.629exp-10t
4) Itotal = sqrt(Iac^2 + Idc^2)
You can see that the negative second term in equation 1) is the
reason my curve dips back up in magnitude.
thanks,
russ
p.s.
Generator parameters:
kV = 13.8 kV Td" = 0.02 s
kVA = 35000 kVA Td' = 2.2 s
Xd" = 31 % TA = 0.1 s
Xd' = 44 % IFg = 1 pu
Xd = 100 % IF = 3 pu
et = 1 pu pf angle =23.7943deg
--------------------
Russell W. Patterson, Tennessee Valley Authority
Transmission/Power Supply, System Protection & Analysis
E-mail: rp...@tva.gov
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