The theory of the time domain relationship between the input and output of a linear process is presented, and the mathematical relationships are explained and clarified by graphical illustration. The theory of the correlation method of process dynamic analysis is similarly presented. Special reference is made to the use of pseudo-random binary signals as perturbation signals, and a design procedure for crosscorrelation experiments with a pseudo-random binary perturbation signal is given. Tables listing experiments so far reported in the literature are included, and applications in the process industries and to nuclear power systems are considered.
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References
1.
HazleriggA. D. G.NotonA. R. M.The application of crosscorrelating equipment to linear system identification’, Proc. I.E.E., 1965, 112, 2385–2400.
2.
BriggsP. A. N.HammondP. H.HughesM. T. G.PlumbG. O.‘Correlation analysis of process dynamics using pseudo-random binary test perturbations,’Proc. I. Mech. E., 1965, 179, part 3H, 37–51.
3.
LeeY. W.‘Statistical theory of communication’, John Wiley and Sons, 1960, p. 341.
4.
BarkerH. A.‘Reference phase of pseudorandom signals’, Proc. I.E.E., 1969, 116, 429–435.
5.
SimpsonH. R.‘Statistical properties of a class of pseudorandom sequences’, Proc. I.E.E., 1966, 113, 2075–2081.
6.
GodfreyK. R.DevenishM.‘An experimental investigation of continuous gas chromatography using pseudorandom binary sequences. (To be published in Measurement and Control).
BalcombJ.D.DemuthH.B.GyftopoulosE.P.‘A crosscorrelation method for measuring the impulse response of reactor systems’, Nucl. Sci. Eng., 1961, 11, 159–166.
13.
UhrigR. E., (ed.) ‘Symposium on Neutron Noise, Waves and Pulse Propagation, University of Florida, Gainesville, Florida, 1966’, USAEC 1967, CONF 660206. Several papers in this Symposium deal with the application of pseudorandom sequences to nuclear reactors.
14.
BoardmanK. D.‘Measurement of the dynamic behaviour of a superheater by random signal testing’, I.E.E. Conference, ‘Automatic Control in Electricity Supply’, Manchester, 1966, 198.
15.
KodzW. T.BaileyA. J.‘Simulation of reheating furnace operation using analogue and digital techniques’, Trans. S.I.T., 1966, 18, 239–245.
16.
DaviesW. D. T.SinclairP. A.‘Application of pseudorandom sequences to process plants—a case history’, I.E.E. Colloquium, ‘Pseudo random sequences applied to control systems’, London, 1967, paper 3.
17.
HutchinsonA. W.SheltonR. J.‘Measurement of dynamic characteristics of full-scale plant using random perturbing signals: an application to a refinery distillation column’, Trans. I. Chem. E., 1967, 45, T334–T342.
18.
See also SheltonR. J.HutchinsonA. W.‘Practical determination of on-line distillation column dynamics’, Control, 1968, 12, 398–403.
19.
ChangJ. A.OwenA. G.ZamanM.GriffinA. W. J.‘Dynamic modelling of a four-stand cold rolling mill using multi-level pseudo-random sequences’, Measurement and Control, 1968, 1, T80–T84.
20.
JonesR. E.WhightW. T.‘The digital control of a Fourdrinier paper machine’, Measurement and Control, 1968, 1, 287.
21.
JohnsonJ. A.‘Measurement of pressure-to-pressure transfer functions through the Phoebus 1A nuclear reactor’, 271–284, of referenced.
22.
WassermanA. A.SteinerG. H.BodenschatzC. A.HonkaE. K.‘NERVA reactor transfer-function measurements with crosscorrelation techniques’, 285–314, of reference 13.
23.
RajagopalV.GallagherJ. M.‘Some applications of dynamic (noise) measurements in pressurized-water-reactor nuclear power plants’, 487–501, of reference 13.
24.
HaraM.UsuiH.FujiiY.SudaN.‘Application of the pseudo-random binary signals to JRR-3 high-power dynamics measurements’, Nuclear Science and Technology (Japan), 1968, 5, 79–85.
25.
CumminsJ. D.‘Parameter estimation from DRAGON high-temperature gas-cooled reactor dynamic measurements’Atomic Energy Establishment, Winfrith, Dorset, Report No. AEEW-R 571, 1968.
