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The power is P =
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746 W = 2487 W hp
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The rated torque is T = K P n
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where the constant K is given by K = 097376 when T is expressed in meter-kilograms K = 9549 when T is expressed in newton-meters 2487 = 1377 N-m T = 9549 1,725
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Summary of Single-Phase Motor Characteristics Four basic classes of single-phase motors are commonly used: 1 Single-phase induction motors are used for the larger home and small business tasks, such as furnace oil burner pumps, or hot water or hot air circulators Refrigerator compressors, lathes, and bench-mounted circular saws are also powered with induction motors 2 Shaded-pole motors are used in the smaller sizes for quiet, low-cost 1 applications The size range is from 30 hp (249 W) to 1 hp (373 W), 2 particularly for fans and similar drives in which the starting torque is low 3 Universal motors will operate on any household AC frequency or on DC without modi cation or adjustment They can develop very high speed while loaded, and very high power for their size Vacuum cleaners, sewing machines, kitchen food mixers, portable electric drills, portable circular saws, and home motion-picture projectors are examples of applications of universal motors 4 The capacitor-type motor nds its widest eld of application at low speeds 3 (below 900 rev/min) and in ratings from 4 hp (05595 kW) to 3 hp (2238 kW) at all speeds, especially in fan drives
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1810 Prove that the mmf for the single-phase induction motor can be expressed as the sum of two components traveling in opposite directions 1811 For the circuit shown in Figure 1836, draw the starting phasor diagram relating V, I, Imain , and Iaux 1812
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a What is the zero-speed torque for a single-phase induction motor b If external torque is applied to the machine, what is its terminal speed
Part III
Electromechanics
MOTOR SELECTION AND APPLICATION
The objective of this section is to outline the selection process of a motor for application to an electrical drive, and to summarize the characteristics of the most common drive motors, with emphasis on fractional-horsepower applications An electrical motor should satisfy a set of precise requirements to be considered for a speci c application These include: 1 2 3 4 5 6 Starting characteristics (torque and current) Acceleration characteristics (dependent on the load) Ef ciency at rated load Overload capability Electrical and thermal safety Cost
These requirements suggest that the speci c details of the application should be clear in the designer s mind For example, the nature of the load, of the available electrical supplies, and of the ambient conditions should be carefully investigated before the motor selection process is initiated Once the application environment is known, it is usually possible to narrow the selection of a drive motor to a few choices In this section we shall provide some insight into the motor selection process Motor Performance Calculations To better understand the motor selection process, it is important to review some of the basic ideas underlying the motion of the motor and of the load For rotational systems, the relationships of Table 185 hold Figure 1839 summarizes the various types of load pro les that are likely to be encountered in practical applications These include constant-torque loads; viscous friction-type loads, where torque is proportional to speed; loads in which the torque is proportional to a power of speed (eg, fans, pumps); and constant-power loads, where torque is inversely proportional to speed
Table 185 Equations of motion and de nitions of variables Equations of motion 2 = 1 + t = 1 t + 1 ( t 2 ) 2 2 2 2 = 1 + 2 P = T T = Fr = J W = T = 2 n = 0105n 60 De nition of terms 1 = initial velocity (rad-s 1 ) 2 = nal velocity (rad-s 1 ) = acceleration (rad-s 2 ) = angular displacement (rad) n = speed of rotation (rev/min) P = output power (W) W = work (J) F = force (N) T = torque (N-m) J = polar moment of inertia (kg-m2 ) r = radius of arm (m) k = radius of gyration (m) m = mass, kg
(c) T n (a) constant torque (b) viscous friction (d) T 1/
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