Page 141 - Servo Motors and Industrial Control Theory
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136                             8  Actuators Based on Electro-Rheological Fluid


            Fig. 8.9   Estimated values                          V = 600 Q = 3
            of R at various excitation                        +  V = 600 Q = 9
            frequency                                         #  V = 600 Q = 15
                                    120  + +  +                  V = 1200 Q = 3
                                     R  +  *  *   + *  +      *  V = 1200 Q = 9
                                    (Kn) *           *  + *      V = 1200 Q = 15
                                     80
                                                                           +
                                                                           *
                                        ++ +  +  +   +  +
                                     40                                   +


                                      0
                                       0     40      80    120    160     200
                                                    FREQUENY (HZ)


              Fig. 8.10   Estimated values   120           V = 600 Q = 3
            of C at various excitation                 +   V = 600 Q = 9
            frequency               C +                #   V = 600 Q = 15
                                    (nF) +                 V = 1200 Q = 3
                                     80                o   V = 1200 Q = 9
                                        + *            o *  V = 1200 Q = 15


                                     40
                                       *  + *
                                        *     +
                                         * + *  *  + *  +  + *           + *
                                                      *
                                      0
                                       0     40     80     120    160    200
                                                    FREQUENY (HZ)


            technique was used to identify the values of R and C from sinusoidal input voltage
            superimposed on a base voltage response. The values of R and C identified are pre-
            sented in Figs. 8.9 and 8.10.
              The data presented in Figs. 8.9 and 8.10 are at two base voltages of 800 and
            1200 V respectively and at different flow rates. It can be seen that the values of
            R and C depend on the base voltage and the excitation frequency. As the excita-
            tion frequency increases, the resistance initially increases and then it reduces and
            it seems that at high frequency they reach a steady state values. The resistance is
            smaller at higher voltage than low voltage. This was observed at steady state rela-
            tionships between voltage and current.
              The capacitance initially is very large but it reduces rapidly reaching a steady
            state at high frequency. Again the capacitance does not depend on the flow rate and
            it only seems that its value is smaller at high applied voltage. Figures 8.9 and 8.10
            are useful for the power supply design. The power supply must have the capacity of
            rapid current which rises about ten times than the steady state current. Alternatively
            it must be able to limit the maximum current so to avoid excessive heat generation
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