T = K Ⲫ Ia ∝ Ia ,
if Ⲫ = Constant
Speed- Armature current characteristics
The performance equation of a separately excited DC Motor is given by,
Eb = (Vs - Ia Ra) = K Ⲫ N
⇒ N = (Vs - Ia Ra) /K Ⲫ
Speed- Torque characteristics
In the Speed- Current characteristics, Armature Current (Ia = T / KⲪ) can be replaced by Torque as shown below,
N = (Vs/K Ⲫ) - (Ra T/(K Ⲫ)^2)
Due to Armature Reaction, flux reduces and so drop in Ꞷm increases
Series Excited DC Motor
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Series Excited DC Motor |
Speed-Armature Current Characteristics
In a Series Excited DC Motor, field current is same as Armature Current and so flux in the machine is proportional to Armature Current.
So, flux Ⲫ = K1 Ia
Eb = K Ⲫ N = Vs - Ia (Ra + Rse)
N = {Vs /KⲪ} - {Ia (Ra + Rse) /KⲪ}
N = {Vs /K K1 Ia} - {(Ra + Rse) /K K1}-------(1)
Armature and series field resistance being very low, (Ra + Rse) can be neglected and we can obtained:
N Ia = VS /K K1 --------(2)
Thus, at lower currents, the N vs Ia characteristics resembles rectangular hyperbola ( according to equation 2 ). In this region, the speed decreases abruptly with increase in input current.
with larger currents, the magnetic circuit gets saturated and flux Ⲫ tends to approach a constant value. In that case, speed and armature current can be related by using equation 1.
This represents a slightly drooping straight line nature of N vs Ia characteristics for larger values of armature current.
The speed becomes zero when the input current is equal to short-circuit current of the motor, i.e.
Ia = Isc = Vs /(Ra + Rse)
Torque-Armature current characteristics
In a series Excited DC Motor, flux is proportional to Armature Current as given below,
Ⲫ = K1 Ia
Torque, T = K Ⲫ Ia = K K1 Ia^2 = K' Ia^2
Again for large armature current Ia, Ⲫ ≈ constant so, T ∝ Ia
Speed-Torque characteristics
Armature Current can be expressed as a function of Torque as shown below,
Ia = {T/K K1}^1/2
Substituting this value in Speed Armature Current Characteristics,
N = {Vt /(K K1 T)^1/2} - {(Ra + Rse) /K K1}
When saturation sets in , Ⲫ = constant
N ={Vt /(K Ⲫ} - {(Ra + Rse)T /K^2 Ⲫ}
Some points:-
- Ideally suited for traction load, locomotives
- Series motors are never belt loaded or chain loaded it must be directly coupled to load.
- Series Motors must never be run under No-Load conditions else speed can be dangerously high.
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