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                       FIGURE 20.47  Bipolar variable gain current-mode amplifier.


                       Current Control (Mode) Amplifier
                       As previously discussed, in many electromagnetic actuators, the output force or torque of the device has
                       strong correlation with the winding current, e.g., for a permanent magnet DC motor and a voice coil
                       actuator, the output torque and force are proportional to the input current. Therefore, in many motion
                       control applications, it is more desirable to have a voltage-to-current conversion (current-mode amplifier)
                       at the power stage, where the input voltage command is proportional to the current flowing into/out of
                       the motor (winding). Figure 20.43(b) shows a basic circuit for a current-mode amplifier. The relationship
                       between the emitter (motor) current i M  and the input voltage command V IN  is

                                                        i M =  V IN –  V BE
                                                             ----------------------
                                                                R S
                         If the base-emitter voltage is ignored, the voltage across the motor current i M  is proportional to the
                       input voltage V IN , i.e., i M  ≈ (1/R S ) · V IN .
                         Figure 20.47 shows a basic bipolar current-mode amplifier. An Op-Amp is used to close the current
                       loop. The resistor R S , often called the sensing resistor, is used to sense the motor current for feedback to
                       the Op-Amp. Depending on the desired current magnitude, the sensing resistor needs to have adequate
                                                 2  ⋅
                       power rating to dissipate the heat (i M R S ) generated by flowing current through the resistor. For a zeroth
                       order approximation, at steady state, the Op-Amp will try to equalize the potential at the positive and
                       the negative terminals, i.e., it will try to make

                                                             
                                                              R 2
                                                       V S ≈  − ----- ⋅  V IN                        ,
                                                                
                                                             
                                                              R 1
                       which implies
                                                              R 2 
                                                           
                                                      i M ≈ − --------------- ⋅  V IN                .
                                                           
                                                                 
                                                              ⋅
                                                            R S R 1
                         Although a current amplifier tends to have a linear relationship between the command input and the
                       winding current, there is practical limitation due to the limited source voltage. In Fig. 20.47, the supply
                       voltage is ±V. Assuming that the motor winding has resistance R M , the maximum current i MAX  the voltage
                       source can supply is upper bounded by
                                                                V
                                                        i MAX <  -------------------                 .
                                                              R M +  R S

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