Torque in .NET framework

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As the following equation shows, Speed 5 (Vt IaRa)/K4) Once again, Ia can be substituted for f, and the series motor speed equation can be rewritten as Speed 5 (Vt la(Ra + Rf))/Kla where Ra and Rf are the resistances of the armature and field, respectively This shows that speed becomes very large as the current becomes small in a series motor a fact substantiated by Figure 6-3 s actual speed versus armature current graph High rpms at no load is the series motor s Achilles heel You need to make sure you are always in gear, have the clutch in, have a load attached, etc, because the series motor s tendency is to run away at no load Just be aware of this and back off immediately if you hear a series motor rev up too fast This technique is an interesting way to control series motor speed You place an external resistor in parallel with the series motor field winding, in effect diverting part of its current through the resistor Keep it to 50 percent or less of the total current (resistor values equal to or greater than 15 times the motor s field resistance) The byproduct is a speed increase of 20 to 25 percent at moderate torques without any instability in operation (hunting in rpm, etc) Used in moderation, it s like getting something for nothing Frank G Willey, a member of the EAA, created the first pulse width modulated motor speed controller using silicon power transistors He was recognized by the IEEE in the early 1980s for doing so Offered in kit form or completely assembled and tested, the Model 9 had ratings of 450 amps for traction pack voltages from 24 to 120 volts Today, most motor controllers
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use this approach, or a variation of it Field weakening had its limitations, which drivers soon didn t want to contend with, given the other better options available to them
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The same current that flows through the armature flows through the field in a series motor, so reversing the applied voltage polarity does not reverse the motor direction To reverse motor direction, you have to reverse or transpose the direction of the field winding with respect to the armature This characteristic also makes it possible to run series DC motors from AC (more on this later in the section)
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All motors simultaneously exhibit generator action motors generate counter EMF as you read earlier in this section The reverse also holds true generators produce counter torque Regenerative braking allows you to slow down the speed of your EV (and save its brakes) and put energy back into its battery (thereby extending its drivable range) by harnessing its motor to work as a generator after it is up and running at speed Put another way, the vehicle, once running at speed, has kinetic energy Regenerative braking allows you to electronically switch the motor and turn it into a generator, thereby capturing the energy that would normally be dissipated (read: lost) as heat in the brake pads while slowing down The motor does the braking, not your brake pads While all motors can be used as generators, the series motor has rarely been used as a generator in practice because of its unique and relatively unstable generator properties
Shunt DC Motors
The second most well-known of the DC motors is the shunt DC motor, so named because its field winding is connected in parallel with the armature (Figure 6-3) Because it doesn t have to handle the high motor armature currents, a shunt motor field coil is typically wound with many turns of fine gauge wire and has a much higher resistance than the armature Because the shunt field is connected directly across the voltage source, the flux in the shunt motor remains relatively constant Its torque is directly dependent upon the armature current, as described by torque equation: Torque 5 K 3 f 3 Ia This shows that, in a shunt motor, torque varies directly with the current, and the straight-line relationship shown in Figure 6-3 results Although there is initially no counter emf to impede the flow of startup current in the armature of a shunt motor, the shunt motor s linear relationship is quickly established As a result, the shunt motor does not produce nearly as much startup torque as the series motor This translates to reduced acceleration performance for owners of shunt motor-powered EVs
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