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Commutating Brushless DC Motors<br />
Clamping zener diodes are used to protect<br />
the power MOSFETS from over-voltage<br />
transients produced when the inductive<br />
winding are switched OFF.<br />
Brushless Servo Systems<br />
The brushless DC motor, when properly<br />
commutated, will exhibit the same performance<br />
characteristics as a brushcommutated<br />
DC motor, and for servo analysis the<br />
brushless motor can be represented by the<br />
same motor parameters. It can be modeled<br />
by the equivalent circuit of Figure 16.This<br />
model can be used to develop the electrical<br />
and speed-torque characteristics equations<br />
for brushless DC motors.<br />
The electrical equation is:<br />
VT = IR + Ldl/dt + KB() (1)<br />
W<strong>here</strong><br />
(800) 777-3393<br />
VT = the terminal voltage across the active<br />
commutated phase<br />
I = the sum of the phase currents into<br />
the motor<br />
R = the equivalent input resistance of the<br />
active commutated phase<br />
L = the equivalent input inductance of<br />
the active commutate phase<br />
KB = the back EMF constant of the active<br />
= the angular velocity of the rotor<br />
If the electrical time constant of the brushless<br />
DC motor is substantially less than the<br />
period of commutation, the steady state<br />
equation describing the voltage across the<br />
motor is:<br />
V T = IR+K B (2)<br />
Pancake Resolvers >> Brush Type Motors >><br />
NL<br />
( No Load<br />
speed)<br />
Brushless DC Motors<br />
The torque developed by the brushless DC<br />
motor is proportional to the input current.<br />
T = I K T<br />
V1 V2 Torque<br />
T<br />
Stall<br />
W<strong>here</strong> K T = the torque sensitivity<br />
(oz-in/amp)<br />
If we solve for I and substitute into<br />
Equation (2) we obtain:<br />
V T = T/K TR + K B() (3)<br />
The first term represents the voltage<br />
required to produce the desired torque, and<br />
the second term represents the voltage<br />
required to overcome the back EMF of the<br />
winding at the desired speed. If we solve (3)<br />
for rotor speed, we obtain:<br />
= V T/K B - TR/K BK T<br />
www.axsys.com<br />
><br />
Speed<br />
V T<br />
Figure-17 Speed torque characteristic curves.<br />
(4)<br />
which is the speed-torque equation for a<br />
permanent magnet DC motor.<br />
A family of speed-torque curves represented<br />
by Equation (4) is shown in Figure 17.<br />
The no-load speed can be obtained by substituting<br />
T=0 into (4).<br />
V N