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The advent of high-power semiconductor devices has made it possible to design effective and relatively low-cost electronic supplies that take full advantage of the capabilities of the devices introduced in this chapter Electronic power supplies for DC and AC motors have become one of the major elds of application of power electronic devices The last section of this chapter is devoted to an introduction to two families of power supplies, or electric drives: choppers, or DC-DC converters; and inverters, or DC-AC converters These circuits nd widespread use in the control of AC and DC motors in a variety of applications and power ranges Before we delve into the discussion of the electronic supplies, it will be helpful to introduce the concept of quadrants of operation of a drive Depending on the direction of current ow, and on the polarity of the voltage, an electronic drive can operate in one of four possible modes, as indicated in Figure 1133 Choppers (DC-DC Converters) As the name suggests, a DC-DC converter is capable of converting a xed DC supply to a variable DC supply This feature is particularly useful in the control of the speed of a DC motor (described in greater detail in 17) In a DC motor, shown schematically in Figure 1134, the developed torque, Tm , is proportional

to the current supplied to the motor armature, Ia , while the electromotive force (emf), Ea , which is the voltage developed across the armature, is proportional to the speed of rotation of the motor, m A DC motor is an electromechanical energy-conversion system; that is, it converts electrical to mechanical energy (or vice versa if it is used as a generator) If we recall that the product of torque and speed is equal to power in the mechanical domain, and that current times voltage is equal to power in the electrical domain, we conclude that in the ideal case of complete energy conversion, we have Ea Ia = Tm m (1116)

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Naturally, such ideal energy conversion cannot take place; however we can see that there is a correspondence between the four electrical quadrants of Figure 1133 and the mechanical power output of the motor: namely, if the voltage and current are both positive or both negative, the electrical power will be positive, and so will the mechanical power This corresponds to the forward (i, v both positive) and reverse (i, v both negative) motoring operation Forward motoring corresponds to quadrant I, and reverse motoring to quadrant III in Figure 1133 If the voltage and current are of opposite polarity (quadrants II and IV), electrical energy is owing back to the electric drive; in mechanical terms this corresponds to a braking condition Operation in the fourth quadrant can lead to regenerative braking, so called because power is regenerated by making current ow back to the source This mode could be useful, for example, to recharge a battery supply, because the braking energy can be regenerated by returning it to the electric supply A simple circuit that can accomplish the task of providing a variable DC supply from a xed DC source is the step-down chopper (buck converter), shown in Figure 1135 The circuit consists of a chopper switch, denoted by the symbol S, and a free-wheeling diode, such as the one described in Section 115 The switch can be any of the power switches described in this chapter, for example, a power BJT or MOSFET, or a thyristor; see, for example, the BJT switch of Figure 114 The circuit to the right of the diode is a model of a DC motor, including the inductance and resistance of the armature windings, and the effect of the back emf Ea When the switch is turned on (say, at t = 0), the supply VS is connected to the load and vo = VS The load current, io , is determined by the motor parameters When the switch is turned off, the load current continues to ow through the freewheeling diode, but the output voltage is now vo = 0 At time T , the switch is turned on again, and the cycle repeats Figure 1136 depicts the vo and io waveforms The average value of the output voltage, vo , is given by the expression vo = t1 VS = VS T (1117).

Figure 1135 Step-down chopper (buck converter)

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