Electric potential, torque and energy equation
![Electric potential, torque and energy equation]( "Electric potential, torque and energy equation")
(1) Electric potential (Figure 6)
From V=E+2△U+I*r we get E=V-2△U-I*r
Meanwhile E=KE*Φ*n(armature back EMF)
V: power supply voltage (Unit: V)
2△U: brush voltage drop (Unit: V)
I: armature current (Unit: A)
R: rotor resistance (Unit: Ω)
KE: EMF constant = Z/60 (for a 2-pole motor.
Z: number of conductors)
Φ: magnetic flux (Unit: Weber) = average magnetic flux density B * width of magnetic pole *effective length of rotor
N: speed (Unit: rpm)
(2) Torque
TE=KTΦ*I（electromagnetic torque: N.M） KT: torque constant = Z/2π
Φ: magnetic flux (unit: Weber) I: armature current (unit: A)
(3) Relationship between power and torque：
P=T*n/97500 P: power（unit: W） T: torque (unit: g.cm) n: speed (unit: rpm)
When the unit of T is “N?m”, P=T*n/9.55（unit: W）
(4) Energy equation(Figure 7):
![Electric potential, torque and energy equation]( "Electric potential, torque and energy equation")
P1=2△U*I+I2r+PE
PE=P2+PFe+Pmec
PE: electromagnetic power P2: output power
Pmec: mechanical loss PFe: iron loss
P2=P1-2△U*I-I2r-PFe-Pmec (unit: W)
Efficiency: η=P2/P1*100%
PFe+Pmec is also called no load power
P0=PFe+Pmec
PE=P2+P0 and TE=T2+T0
(5) Energy transmission graph: (Figure 8)
![Electric potential, torque and energy equation]( "Electric potential, torque and energy equation")