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Pancake Resolvers >> Brush Type Motors >><br />
Brushless DC Motors<br />
0A Torque with<br />
IA Const.<br />
0B Torque with<br />
IB Const.<br />
IA = I COS<br />
Normalized<br />
Torque<br />
IB = I SIN<br />
1.0<br />
0.5<br />
0A<br />
IA<br />
operation at low speed, or w<strong>here</strong> the motor<br />
is operated in a position loop, a sinusoidal<br />
drive system should be considered. Figure 6<br />
is an example of a two phase motor<br />
designed for sine wave drive.<br />
The torque output of each phase is:<br />
T A = I A K T Cos <br />
T B = IB KT Cos <br />
W<strong>here</strong><br />
I A = current in phase A<br />
I B = current in phase B<br />
K T =torque sensitivity of motor<br />
= rotor position in electrical degrees<br />
0B<br />
IB<br />
Rotor Position Electrical Degrees<br />
90 180 270 360<br />
90 180 270 360<br />
2<br />
T = IK SIN <br />
B T<br />
2<br />
T = IK COS <br />
A T<br />
Figure-6.Two phase sinusoidal excitation.<br />
(800) 777-3393<br />
If the motor currents are supplied in the<br />
following relationships:<br />
I A = I Cos<br />
I B = I Sin<br />
The torque output of the motor is:<br />
T = T A + TB<br />
T = I K T(Sin 2 + Cos 2 )<br />
T = I K T<br />
This analysis indicates that the sinusoidally<br />
driven brushless motor has linear characteristics<br />
similar to a conventional DC motor<br />
and has minimum ripple torque.Three<br />
phrase winding can be connected in either<br />
wye or delta configuration. Excitation can<br />
be switch mode or sinusoidal drive.The<br />
switch mode drive is the most commonly<br />
used system because it results in the most<br />
efficient use of the electronics.Two switches<br />
per phase terminal are required for the<br />
switch mode drive system.T<strong>here</strong>fore, only<br />
six switches are required for either the wye<br />
or delta configuration.<br />
The delta winding form a continuous loop,<br />
so current flows through all three winding<br />
regardless of which pair of terminals is<br />
switched to the power supply. Since the<br />
internal resistance of each phase is equal,<br />
the current divides unequally, with twothird<br />
of the total current from one winding<br />
to another as the winding are commutated.<br />
For the wye connection, current flows<br />
through the two winding between the<br />
switched terminals.The third winding is<br />
isolated and carries no current. As the<br />
winding are commutated, the full load current<br />
must be switched from terminal to terminal.<br />
Due to the electrical time constant<br />
of the winding, it takes a finite amount of<br />
www.axsys.com<br />
><br />
Commutating Brushless DC Motors