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Mathematical Modelling and Anatysis of Dynamic Behaviour of a Fed

Mathematical Modelling and Anatysis of Dynamic Behaviour of a Fed

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ln rhis wo.k, the substrale fbed rale. pH, <strong>and</strong> temperatufe<br />

sere conrrolled using PID conrolleE The pr<strong>of</strong>iles <strong>of</strong> the<br />

outpul vadables under nominal opemting condition where<br />

constdi glucose feed are used duritg the fed-batch<br />

opemtion. are illustrated in Figure ll lo Figure 19. Noletbat<br />

both biomass <strong>and</strong> penicillin concentmtions had been<br />

improved by adding a slow glucose lbed into the batch<br />

fermenter. The controlled supply <strong>of</strong> gl cose enabled bolb<br />

giowrh <strong>and</strong> penicillin production ro lake place<br />

simultaneously Ii].<br />

By including PID contolle.s in ftesystem, fte values <strong>of</strong>PH<br />

<strong>and</strong> temperalure were ma;nlained close !o their desired set<br />

poinrs. Compared io the results withoul controllers, rbe<br />

variaiions from the set-point values had been reduced As I<br />

result, the overall perfonnance <strong>of</strong> lbe fe.mentation Process<br />

was improved.Thh proved the importaice <strong>of</strong>contmlsystenr<br />

Conclusion<br />

An unstructurcd model for a fed'barch Penic;llin G<br />

fe.mentatioo process had been develo!€d in this sludy Tbis<br />

mathematical model includes additional inpul va.iables like<br />

feed flow rale <strong>of</strong> substmte. pH, temperature. aemirot rate,<br />

agitalion power as well as oxtput lariables such as CO,<br />

evolution <strong>and</strong> heat generation terms. The model was<br />

simulated in MATLAB environmenl <strong>and</strong> analyses <strong>of</strong> lhe<br />

dynamic behaviou.<strong>of</strong> fie process were carried our. F.om fte<br />

observation, a good agreement was shown bellveen the<br />

r$ultsobtaired in this study <strong>and</strong> lbe literalure<br />

Acknowledgements<br />

The aurhors wish to thank Prol Ali Cinar <strong>and</strong> Dr Cenk<br />

Undey for rheir rechnical support on rhis work This prcject<br />

is funded by the Ministry <strong>of</strong> Science, Te.hnology <strong>and</strong> the<br />

Envircnment alrd UniveN;d Teknoiogi Malaysia through<br />

UTM'PrP Schola$hjps <strong>and</strong> IRPA research granr.<br />

Relerences<br />

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