Page 280 - Mechatronics with Experiments
P. 280

JWST499-Cetinkunt
            JWST499-c05
                       266   MECHATRONICS  Printer: Yet to Come                     October 28, 2014 11:15 254mm×178mm
                              in the form of heat by a triac. SCR and triac components are generally used to switch AC
                              loads. The amount of power that is allowed to conduct is controlled by the timing gate
                              voltage of SCR and triac relative to the AC voltage applied between terminals A and K.

                              Example    Consider the Zener diode application circuit shown in Figure 5.11b. Let
                              us assume that V = 24 V, R = 1000 Ω, V = 12 V, and R varies between 1000 Ω and
                                            s        s          Z             L
                              2000 Ω. Let us determine the currents in each branch of the circuit, voltage across the
                              load, and power dissipated across the Zener diode. The Kirchoff’s voltage law in the loop
                              including the power supply and the zener diode gives,

                                                    V = R ⋅ i + V                               (5.107)
                                                     s    s  s  Z
                                                    24 = 1000 ⋅ i + 12                          (5.108)
                                                              s
                                                         24 − 12
                                                     i =        = 0.012 A = 12 mA               (5.109)
                                                     s
                                                          1000
                              Since the voltage drop across the Zener diode is limited to V = 12 V, the same voltage
                                                                                Z
                              potential exists across the parallel load resistor,
                                                          V   = V = R ⋅ i L                     (5.110)
                                                                 Z
                                                                     L
                                                           R L
                                                           12 = R ⋅ i L                         (5.111)
                                                                 L
                                                                12
                                                           i =                                  (5.112)
                                                            L
                                                                R L
                              when R = 1000 Ω, i = 12.0 mA, and when R = 2000 Ω, i = 6.0 mA. Since
                                    L          L                   L          L
                                                             i = i + i Z                        (5.113)
                                                              s
                                                                 L
                              The current across the diode is
                                                             i = i − i                          (5.114)
                                                              Z   s  L
                              which varies as the load resistance varies. In other words, the current across the zener
                              diode is i = 0.0 mA when R = 1000 Ω and i = 6.0 mA when R = 2000 Ω. The Zener
                                                                                   L
                                                     L
                                                                   Z
                                     Z
                              diode provides a constant 12 V voltage across the load resistor. As the load resistor varies,
                              the Zener diode dumps the excess current while providing the V = 12 V constant voltage
                                                                                 Z
                              across the two terminals. If R < 1000 Ω, that is R = 500 Ω, the diode does not conduct.
                                                     L                L
                              Assume that the diode is not conducting, then, i = 0,
                                                                    Z
                                                         V s      24
                                               i = i =        =      = 0.016 A = 16 mA          (5.115)
                                                s
                                                   L
                                                       R + R s   1500
                                                        L
                                              V = R ⋅ i = 500 Ω ⋅ 16 mA = 8V < V                (5.116)
                                               L    L  L                       Z
                              So, the Zener diode acts as a component to dump the excess voltage, but does not make
                              up for lower voltages. The maximum power dissipated across the Zener diode in this
                              example is
                                                   P = V ⋅ i = 12 V ⋅ 6mA = 72 mW               (5.117)
                                                            Z
                                                    Z
                                                         Z
                              Therefore, a Zener diode with 1∕4 W power rating and 12 V breakdown voltage rating
                              would be sufficient for this circuit.
                                   Figure 5.12 shows the application of diodes for voltage surge protection due to
                              inductive loads. Such a use of diodes is called free-wheeling diodes. When a diode is placed
                              parallel to the transistor in motor control applications, it is called a by-pass diode. When
                              there is an inductive load (a coil winding of the conductor, i.e., in relays, solenoids, motors),
                              sudden switching of the current either by mechanical switches or electronic switches
   275   276   277   278   279   280   281   282   283   284   285