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Lecture 6-3 Electrical Systems III

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(1)

Lecture 6-3

Electrical Systems III

(2)

D’Aarsonval Meter

(3)

DC Motors

Brushed DC Motor

Brushless DC (BLDC) Motor

High efficiency, no voltage drop across brushes High output power/frame size.

Because BLDC has the windings on the stator, which is connected to the case, the heat disipation is better

Higher speed range - no mechanical limitation imposed by brushes/commutator

Higher cost of construction

Electric Controller is required to keep the motor running Two wire control

Low cost of construction/ Simple and inexpensive control No controller is required for fixed speeds

At higher speeds, brush friction increases, thus reducing useful torque

Poor heat dissipation due to internal rotor contsruction Higher rotor inertia which limits the dynamic characteristics Brush Arcing will generate noise causing EMI

Other Motors:

(4)

Controller Motor

drive Motor Mechanical

system

u v T

 5V  250V

Constitution of DC Servomotor System

PWM1 Q1

Q2

Q3

Q4

Q5

Q6

PWM3 PWM5

PWM2 PWM4 PWM6

DC+

v

u w

N S N H3 S

H1

R H2

Hall sensor output Current sensing

3 phase BLDC motor driver :

Motor drive system :

(5)

Motor Controller Guide rail

Elevator cage

Tail code Counter weight

Shock absorber

e + -

J p e rm a n e n t m a g n e t

E le c tric E n e rg y M e c h a n ic a l e n e rg y

DC servo motor : ex) Elevator structure :

Constitution of DC Servomotor System

(6)

ifconstant

: armature resistance, : armature inductance, H : armature current , A : field current , A

: applied armature voltage, V : back emf , V

: angular displacement of the motor shaft, rad : torque developed by the motor, N- m

: equiv

a a a

f a b

R L i i e e T J

2

alent moment of inertia of the motor and load referred to the motor shaft, kg- m

: equivalent viscous- friction coefficient of the motor and load referred to the motor shaft, N- m/rad/s b

Variables :

Armature Control of DC Servomotors

(7)

a

:

T  K i K motor  torque constant

b b b

:

e K d K back emf constant dt

 

a

a a a b a

L di R i e e dt   

2

2 a

d d

J b T K i

dt dt

    

Armature Control of DC Servomotors

The torque of motor :

For a constant flux, the induced voltage :

Armature circuit D.E :

Inertia and friction :

ifconstant

(8)

2

( ) ( )

( ) ( ) ( ) ( )

( ) ( ) ( ) ( )

b b

a a a b a

a

K s s E s

L s R I s E s E s Js bs s T s KI s

 

  

   

. ( )

( ) ( )

( 1)

a

a a a b a b

a m

m

K R J

s K

T F E s s R Js R b K K R b K K

s s R J

K s T s

   

       

 

  / ( )

/ ( )

m a b

m a a b

K K R b K K motor gain constant T R J R b K K motor time constant

  

  

Laplace transforms of equations :

b b

e K d dt

 

a

a a a b a

L di R i e e dt   

2

2 a

d d

J b T K i

dt dt

    

Armature Control of DC Servomotors

(9)

ex) servo-motor system

1 2

: armature resistance, : armature current , A : field current , A

: applied armature voltage, V : back emf , V

: angular displacement of the motor shaft, rad : angular displacement of the load shaft, rad : torque developed by t

a a

f a b

R i i e e

T

he motor, N- m

2 1

2 2

: equivalent moment of inertia of the motor, kg- m : equivalent moment of inertia of the load, kg- m J

J

T  K i

a

b b b

:

e K d K back emf constant dt

 

The torque of motor :

For a constant flux, the induced voltage :

Example of a DC Servomotor System

constant

1 Gear

2 Gear

(10)

a a b a

R i   e e

2 1

1 1 2

2 eq

J J n J

n

 

   

 

( ) ( ), ( ) ( ) ( ) ( ), (

2

) ( ) ( ) ( )

b b a a a b a a

K s  s  E s L s  R I s  E s  E s Js  bs  s  T s  KI s

. ( )

( ) ( )

( 1)

a

a a a b a b

a m

m

K R J

s K

T F E s s R Js R b K K R b K K

s s R J

K s T s

   

    

  

 

 

Example of a DC Servomotor System

Armature circuit D.E : Inertia and friction :

Laplace transforms of these equations :

(11)

Electric Vehicle

Safety and Maneuverability Control Allocation for 4WD Electric Vehicle

• System Configuration

- Objective: Driving Control Algorithm for Maneuverability, Lateral Stability and Rollover Prevention - Main Controller Input: Human Driver Input, Measured Vehicle Signal

- Actuator: Front and Rear Driving Shaft Motors, Independent Brake Module

(12)

Rear wheel drive electric vehicle:

DC Motor

Motor selection

1. Max speed : 120 kph

2. Max accelerations: >0.6G

3. 0-100 kph : 8seconds

(13)

e-4WD Motor Specification

Motor power max

120 kW (Front)

45 kW (Rear)

Battery

capacity 47 kWh Motor

speed max 12000 RPM Motor torque max

280 Nm (Front) 120 Nm (Rear)

0 20 40 60 80 100 120

0 50 100 150 200 250 300

0 2 0.4 0.6

0 6 0.8

0.8 0.8

Vehicle Speed [kph]

Torque [Nm]

0 2 0.6 0 4

0 6 0.8

0.8

0.8

Tmax

OOL

0 50 100 150 200 250 300

0 20 40 60 80 100 120

0.8

0.8 0.8

0.9

0.9

0.9 0.9

0.9

Vehicle Speed [kph]

Torque [Nm]

Tmax

OOL

(14)

End of Lecture 6-3

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