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external devices (eg, blowers) are required to circulate air through the machine for cooling purposes, the energy expended by these devices is also included in the mechanical losses Open-circuit core losses consist of hysteresis and eddy current losses, with only the excitation winding energized (see 16 for a discussion of hysteresis and eddy currents) Often these losses are summed with friction and windage losses to give rise to the no-load rotational loss The latter quantity is useful if one simply wishes to compute ef ciency Since open-circuit core losses do not account for the changes in ux density caused by the presence of load currents, an additional magnetic loss is incurred that is not accounted for in this term Stray-load losses are used to lump the effects of nonideal current distribution in the windings and of the additional core losses just mentioned Stray-load losses are dif cult to determine exactly and are often assumed to be equal to 10 percent of the output power for DC machines; these losses can be determined by experiment in synchronous and induction machines The performance of an electric machine can be quanti ed in a number of ways In the case of an electric motor, it is usually portrayed in the form of a graphical torque-speed characteristic and ef ciency map The torque-speed characteristic of a motor describes how the torque supplied by the machine varies as a function of the speed of rotation of the motor for steady speeds As we shall see in later sections, the torque-speed curves vary in shape with the type of motor (DC, induction, synchronous) and are very useful in determining the performance of the motor when connected to a mechanical load Figure 174(a) depicts the torquespeed curve of a hypothetical motor Figure 174(b) depicts a typical ef ciency map for a DC machine It is quite likely that in most engineering applications, the engineer is required to make a decision regarding the performance characteristics of the motor best suited to a speci ed task In this context, the torque-speed curve of a machine is a very useful piece of information.

This chapter has provided an introduction to, and an explanation of, the COSMIC functional sizing method For additional information readers should refer to The COSMIC Functional Size Measurement Method v301: Measurement Manual, the COSMIC Implementation Guide for ISO/IEC 19761:2003 and associated documentation

To Torque output (% of rated) 250 200 150 100 50 0 500 n 1,500 2,500 Rev/min 1,000 2,000 Operating point

120 Torque (Nm)

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100 80 60 095 40 20 0 0 08

The rst feature we note of the torque-speed characteristic is that it bears a strong resemblance to the i-v characteristics used in earlier chapters to represent the behavior of electrical sources It should be clear that, according to this torque-speed

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