Page 223 - Electrician - TT (Volume 1)
P. 223
N
N
60
60
60
60
N
N
J
N
T π 2
J
T π 2
60
S
2π
.NT
2π
60
x
60
746
2π
N.T
J
2π
N.T
or
J
S
or
60
S
60
2π
.N.T
HP
.N.T
2π
HP
746
x
60
x
60
746
2π
N.T
J
watts
2π
N.T
or
J
S
watts
or
60
S
60
2π
.NT
a
.NT
Eb
2π
la
a
Eb
la
60
60
Eb 746 N HP S watts x .NT 60 HP watts
60
Ia
Ta Eb Ia 60
2π N Ta 2π N
ELECTRICIAN - CITS
9.55
Eb
Ia
N m Eb Ia
9.55
N N m
N
Shaft torque(tsh) / output torque
.NT
2π
BHP 2π .NT
• Power equation of a shaft BHP
60x746
60x746
2π .NTsh
BHP 2π .NTsh
60 x 746 BHP
60 x 746
• Shaft torque Tsh BHP x 60 x 746 BHP x 60 x 746
Tsh
N
• Ta Eb Ia 60 Eb Ia 2π Eb Ia 60 2π N
60
Ta
2π
2π N Ta 2π N Ta Eb N Ia 60
ΦZN P ΦZN 2π P N
Eb ΦZN P
Eb
60 a Eb 60 a Eb 60 a P
ΦZN
ΦZN P Ia 60 ΦZN P a Ia 60
60
P
Ta ΦZN Ia 60
Ta
ΦZN
60 a Ta 2π N 60 a P 2π Ia
N 60
60 a Ta 2π N
Ia
Ta K.Φ Ia or Ta K.Φ 60 or a 2π N
Ta
• Ta = Κ. Φ Ιa or K.Φ Ia or
Ia Ia Φ
Ta α Φ Ia Ta α Ta Φ K. or
• Τα α Φ Ια Ta α Φ Ia
Ia
α
Φ
ΦZN P Ta ΦZN P
Eb ΦZN P
Eb
a P
60 a Eb 60 a Eb 60
ΦZN
Eb K ΦN Eb K 60
ΦN a
Eb K ΦN
Eb Eb Eb K ΦN
or
K N Eb K N or
Φ Φ K N or K N or
Φ Eb
Eb Φ Eb
α N Eb α N
Φ α N Φ Eb
Φ α N
Φ
Speed,back emf and fluxes
k Eb1 k Eb1
1
N1 Eb k N1 eq.(1)
eq.(1)
Φ1 N1 Φ1 Eb k eq.(1)
1
Φ1 N1 eq.(1)
Φ1
k Eb2 k Eb2
N2 Eb k eq.(2) eq.(2)
2
N2
Φ2 N2 Φ2 Eb k eq.(2)
2
Φ2 N2 eq.(2)
Φ
N1 Eb 1 N1 Eb N1 Φ 2 Eb Φ2 Φ 2
2
1
1
N2 Φ 1 Eb 2 N2 N1 Φ Eb Eb Φ
1 1
2 2
N2 Φ 1 Eb 2
N2 Φ 1 Eb 2
N1 Eb 1 Φ 2 N1 Eb 1 Φ 2
N1 Eb 1 Φ 2
N2 Eb 2 Φ 1 N2 N1 Eb Eb Φ 1 2
2 1 Φ
N2 Eb 2 Φ 1
N2
Eb
Flux and torques 1 Ta 1 Ia 1 2 Φ Φ 1
Φ
Ia
Ta
1
1
1
Ta 1 Ia 1 Φ 1
Ta 2 Ia 2 Φ 2 Ta Ta IaIa Φ 2 1Φ
2 1
2 1
Ta 2 Ia 2 Φ 2
Ta 2 Ia 2 Φ 2
E.b E.b
α N E.b α N
α N
Characteristics of dc motors
Φ
Φ E.b
Φ
α N
α T
so,
,
Φ
Ia
Ia dc motor are:
Φ
α T
The important characteristics of , Φ so,
so,
Φ
α T
Ia
,
so,
1 Ia Φ α T
1
,
1 Torque/ Armature current(T / Ia )
α N 1 α N
α N
T
T 1
2 Speed / Armature current (N / Ia )
T
α N
T
3 Speed /Torque (N /T) E.b
E.b
α N E.b α N
Φ α N Φ E.b
Φ α N
Φ
V Eb V Eb
Ia V Eb 210
Ia
Ra Ia Ra EbV
Ra Ia
CITS : Power - Electrician & Wireman - Lesson 30-37
Ra