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256<br />

TractionForce, kN<br />

450<br />

400<br />

350<br />

300<br />

250<br />

200<br />

150<br />

100<br />

50<br />

0<br />

0 20 40 60 80 100<br />

Velocity, kph<br />

Notch =2<br />

Notch =4<br />

Notch =6<br />

Notch =8<br />

FIGURE 9.26 Typical tractive effort performance curves —diesel electric.<br />

Handbook of Railway Vehicle Dynamics<br />

Voltage Limited<br />

Else F t = db ¼ðN 2 = 64Þ P max= v ð 9 : 19Þ<br />

where N is the throttle setting in notches, 0to8; P max is the maximum locomotive traction<br />

horsepower, W; Temax is the maximum locomotive traction force, N ;and k f is the torque reduction,<br />

N/(m/sec).<br />

While areasonablefittothe publishedpower curves may be possible with asimpleequation of<br />

the form P ¼ F t/dbv ,itmay be necessary to modify this model toreflect further control features or<br />

reflectchanges in efficiency or thermal effects at different train speeds. It is common for the traction<br />

performance characteristic to fall below the power curve P max ¼ F t/dbv at higher speeds due to<br />

limits imposed bythe generator maximum voltage. Enhanced performance closer to the power<br />

curve at higher speeds is achieved on some locomotives by adding amotor field weakening<br />

control. 13 It can be seen that accurate modelling of locomotives, even without the need to understand<br />

the electrical detail, can become quite complicated. In all cases the performance curves<br />

should beviewed and as much precise detail as possible should be obtained about the control<br />

features to ensure the development of asuitable model.<br />

It is typical for locomotive manufacturers to publish both the maximum tractive effort and<br />

the maximum continuous tractive effort. The maximum continuous tractive effort is the traction<br />

force delivered at full throttle notch after the traction system has heated to maximum operating<br />

temperature. As the resistivity of the windings increase with temperature, motor torque, which<br />

is dependent on current, decreases. As traction motors have considerable mass, considerable<br />

time is needed for the locomotive motors to heat and performance levels drop to maximum<br />

continuous tractive effort. Atypical thermal derating curve for amodern locomotive isshown in<br />

Figure 9.27.<br />

Manufacturer’s data from which performance curves such as in Figure 9.26 are derived can<br />

usually be taken to be maximum rather than continuous values. If the longitudinal dynamics<br />

problem under study has severe grades, and locomotives are delivering large traction forces for<br />

long periods, it will be necessary to modify the simple model represented in Figure 9.26 with a<br />

further model adding these thermal effects.<br />

Arecent innovation in locomotive control is the inclusion of apower application rate limit.<br />

The effect of this control is that the power (or dynamic brake) can be applied no faster than apreset<br />

rate by the manufacturer irrespective of how fast the driver sweeps the control. Opinions differ as<br />

to whether this system was included as an innovation to reduce train dynamics ordue to engine<br />

design considerations. Records inthe Australian patent office identify the system as apollution<br />

© 2006 by Taylor & Francis Group, LLC

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