Page 154 - IJOCTA-15-3
P. 154

E.M. Shaban / IJOCTA, Vol.15, No.3, pp.517-534 (2025)



























            Figure 3. The regulator structure of the unity feedback closed loop SDP-PID+ control system.
            Abbreviations: PID: Proportional integral derivative; SDP: State-dependent parameter; TF: Transfer function
































                             Figure 4. Bitumen tank at INSUMAT company, Tamouh, Giza, Egypt


                                                                            ◦
                Alternatively, the SVF/SDP-PID+ control       bitumen (∼ 90 C) before mixing to produce bitu-
            action in Equation (24) can be directly used,     men products. The properties of the final prod-
            where the parameters of the SVF/SDP-PID+          uct depend significantly on the mixing temper-
                                                                             ◦
            control vector, defined in Equation (25), are de-  ature (90 − 180 C), which must remain within
            rived from Equation (34). It is worth noting that  a ±5% range of the set value, as well as the
            a systematic trial and error experiment is applied  quantity of additives used. To prevent overheat-
            to analyze the closed-loop poles in the complex   ing, the temperature must never reach the self-
                                                                                  ◦
            z-plane (0 < p i < 1), aiming to determine appro-  ignition point (∼ 220 C) of the vapor inside the
            priate gains that ensure a satisfactory tracking  tank. 10
            response.
                                                                  The bitumen tank is a closed steel reser-
                                                              voir enclosed by helical tubes filled with hot oil
                                                                     ◦
                                                              (∼ 265 C). Raw liquidized bitumen is fed into
            4. Industrial bitumen tank
                                                              the tank via an inlet pipe at the top, and the
            This tank, located at INSUMAT Company in Ta-      heated bitumen is discharged to a blender through
            mouh, Giza, Egypt, is used to heat raw liquid     an outlet pipe near the base, as in Figure 4.
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