Upcoming SlideShare
×

# Lecture note e2063

5,374 views

Published on

3 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

Views
Total views
5,374
On SlideShare
0
From Embeds
0
Number of Embeds
15
Actions
Shares
0
238
0
Likes
3
Embeds 0
No embeds

No notes for slide

### Lecture note e2063

1. 1. Unit 1ELECTROMAGNETISM ( Keelektromagnetan )
2. 2. General ObjectiveTo understand the basic principles of electromagnetism.
3. 3. 1.0 INTRODUCTION Arah uratdaya magnetThe pattern of magnetic field of bar a magnet.
4. 4. TarikanTolakan Attraction and Repulsion ( tarikan dan tolakan )
5. 5. 1.1 CURRENT-CARRYING CONDUCTOR AND ELECTROMAGNETISM ( keelektromagnetan ke atas pengalir yang membawa arus )• A flow of current through a wire produces a magnetic field in a circular path around the wire.The direction of magnetic line of flux around the wire is best remembered by the screw rule or the grip rule.
6. 6. Arus masukArus keluar The field pattern of current flowing in the wire
7. 7. tarikan tolakan( a) flow in the same direction ( b) opposite direction
8. 8. If two closed current-carrying conductors flow in the same direction, magnetic flux around that conductor will combine tocreate attraction between them. If closed current-carrying conductors flow in opposite direction, these two conductors will repulse each other
9. 9. 1.2. MAGNETIC FIELD STRENGTH, H (MAGNETISING FORCE)• Magnetic field strength is defined as magnetomotive force, Fm Fm NI H= = ampere turn / metre l l N = bilangan lilitan pengalir I = arus yang mengalir l = panjang bahan magnet
10. 10. 1.3. MAGNETIC QUANTITY AND THEIR RELEVANT FORMULAE• 1.3.1 Magnetic Flux and Flux density -Magnetic flux,Φ is the amount of magnetic filed produced by a magnetic source. - Flux density,B is the amount of flux passing through a defined area unit for flux is the weber, wb
11. 11. Φ- Flux density, B = Tesla A
12. 12. • Example 1.1• A current of 500mA is passed through a 600 turn coil wound of a iron of mean diameter 10cm. Calculate the magnetic field strength.
13. 13. Example 1.2• An iron ring has a cross-sectional area of 400 mm2 and a mean diameter of 25 cm. it is wound with 500 turns. If the value of relative permeability is 250, find the total flux set up in the ring. The coil resistance is 474 Ω and the supply voltage is 20 V.
14. 14. Fig. 1.1.
15. 15. ● 1.3.2 Permeability ( ketelapan ) ( Kebolehan sesuatu bahan magnet untuk menghasilkan uratdaya magnet ) the ratio of magnetic flux density to magnetic field strength is constant B = a constant H
16. 16. For air, free space and any othernon-magnetic medium, the ratio B = μ 0 = 4π x 10-7 H/m HFor all media other than free pace, B = μ0μr H
17. 17. Cast iron μr = 100 – 250Mild steel μr = 200 – 800Cast steel μr = 300 – 900 μr for a vacuum is 1 μ - absolute permeability μr - relative permeability μo - air permeability where μ = μoμr
18. 18. • 1.3.3 Reluctance ( Engganan ) Reluctance, S is the magnetic resistance of a magnetic circuit Fm Hl H l 1 l S = = = = Φ BA B A μ ομ r A unit for reluctance is H-1
19. 19. Perbadingan di antara Litar Elekrik Dengan Litar magnet Litar Elektrik Litar Magnet1. Arus 1. Uratdaya ( Fluks )2. Dge 2. Dgm3. Rintangan 3. Engganan
20. 20. • Example 1.3 A magnetic pole face has rectangular section having dimensions 200mm by 100mm. If the total flux emerging from the the pole is 150μWb, calculate the flux density. Example 1.4 A flux density of 1.2 T is produced in a piece of cast steel by a magnetizing force of 1250 A/m. Find the relative permeability of the steel under these conditions.
21. 21. • Example 1.5 Determine the reluctance of a piece of metal of length 150mm, and cross sectional is 100mm2 when the relative permeability is 4000. Find also the absolute permeability of the metal. Exersice 1 The maximum working flux density of a lifting electromagnet is 1.8 T and the effective area of a pole face is circular in cross-section. If the total magnetic flux produced is 353 mWb, determine the radius of the pole.
22. 22. 1.4 ELECTROMAGNETIC INDUCTIONWhen a conductor is moved across a magneticfield so as to cut through the flux,an electromagnetic force (e.m.f.) is producedin the conductor. This effect is known aselectromagnetic induction. The effect ofelectromagnetic induction will causeinduced current.
23. 23. Two laws of electromagnetic induction i. Faraday’s law Conductor cuts flux
24. 24. Flux cuts conductor
25. 25. This induced electromagnetic field is given by θ° Where , B = flux density, T = length of the conductor in the magnetic field, m v = conductor velocity, m/s
26. 26. ii. Lenz’z Law Bar magnet move in and move out from a solenoid
27. 27. Example 1.6A conductor 300mm long moves at a uniformspeed of 4m/s at right-angles to a uniformmagnetic field of flux density 1.25T. Determinethe current flowing in the conductor when i. its ends are open-circuited ii. its ends are connected to a load of 20 Ωresistance.
28. 28. Exersice 2 A conductor of length 0.5 m situated in and at right angles to a uniform magnetic field of flux density 1 wb/m2 moves with a velocity of 40 m/s. Calculate the e.m.f induced in the conductor. What will be the e.m.f induced if the conductor moves at an angle 60º to the field.
29. 29. Solution to Example 1.3Magnetic flux, Φ = 150 μWb = 150 x 10-6 WbCross sectional area, A = 200mm x 100mm = 20 000 x 10-6m2 Φ 150 × 10 − 6Flux density, B = = A 20000 × 10 − 6 = 7.5 mT
30. 30. Solution to Example 1.4 B = μ0μr H B 1.2 μr = = μ 0 H (4π × 10−2 )(1250) = 764
31. 31. Solution to Example 1.5 l Reluctance, S = μ 0 μ r A 150 × 10 − 3 = ( 4π × 10 − 7 )( 4000 )(100 × 10 − 6 ) = H-1 Absolute permeability, μ = μ0μr ( 4π × 10 − 7 )( 4000 ) = 5.027 x 10-3 H/m
32. 32. Solution To Example 1.6 i. If the ends of the conductor are open circuited, no current will flow even though 1.5 V has been induced. ii. From Ohm’s law E 1 .5 I = = 75 mA R 20
33. 33. Unit 2GENERATOR
34. 34. • OBJECTIVES To apply the basic principle of DC generator, constructionprinciple and types of DC generator.
35. 35. 2.0 Introduction• A generator is a machine that converts mechanical energy into electrical energy by using the principle of magnetic induction.
36. 36. Penjana Arus TerusRajah Blok Sumber Tenaga Tenaga Tenaga Mekanikal Elektrikal Rajah Blok Penjana
37. 37. Pengalir Medan MagnetThe Princple of the DC Generator ( base on the Faraday’s Law )
38. 38. The Princple of the DC Generator
39. 39. The Princple of the AC Generator
40. 40. • Whenever a conductor is moved within a magnetic field in such a way that the conductor cuts across magnetic lines of flux, voltage is generated in the conductor. - Faraday’s Law
41. 41. • The POLARITY of the voltage depends on the direction of the magnetic lines of flux and the direction of movement of the conductor. To determine the direction of current in a given situation, the RIHGT-HAND RULE FOR GENERATORS is used.
42. 42. Right-Hand Rule
43. 43. • The AMOUNT of voltage generated depends on : i. the strength of the magnetic field, ii. the angle at which the conductor cuts the magnetic field, iii. the speed at which the conductor is moved, and iv. the length of the conductor within the magnetic field.
44. 44. Model DC Generator
45. 45. The Princple of the Generating AC Voltage
46. 46. The Princple of the Generating DC Voltage
47. 47. 2.1 THE PATHS OF THE DC GENERATOR 1. Armature ( angker )
48. 48. 2. Stator ( penetap )
49. 49. Cross sectional of the DC Generator
50. 50. Steam Turbine Generator
51. 51. Hidro Electric Station
52. 52. Alternator
53. 53. Nuclear Power Generator
54. 54. Wind Power Generator
55. 55. Small Generator
56. 56. 2.2. Types of DC Generator Gelung Medan Stator ( penetap )
57. 57. (Gelung angker) Armature ( Angker )
58. 58. Stator and Armature
59. 59. Bahagian Angker( Gelung Angker ) Bahagian Stator (Gelung Medan)
60. 60. Types of DC Generator• Separately-excited generators• Self-excited generators i. Shunt-wound generator ii. Series-wound generator iii. Compound-wound generator a. Short compound generator b. Long compound generator
61. 61. 1. Penjana Ujaan Berasingan Angker Medan DC Power Supply Penjana Ujaan Berasingan
62. 62. 2. Penjana Ujaan Diri 1. Series-wound generator
63. 63. 2. Shunt-wound generator
64. 64. 3. Compound-wound generator
65. 65. Example 2.1 A shunt generator supplies a 20 kW load at 200 V. If the field winding resistance, Rf = 50Ω and the armature resistance Ra = 40 mΩ, determine (a) the terminal voltage (b) the e.m.f. generated in the armature
66. 66. 2.3. E.m.f generated ( Voltan janaan, dge ) 2p Φ Zn generated e.m.f, Eg = c Where ; Z = number of armature conductors, Φ = useful flux per pole in Webers Ρ = number of pairs of poles n = armature speed in rev/s ( c=2 for a wave winding and c= 2p for a lap winding )
67. 67. Example 2.2. An 8-pole generator, wave winding connected armature has 600 conductor and is driven 625 rev/min. If the flux per pole is 20mWb, determine the generated e.m.f.
68. 68. SolutionZ = 600, c = 2 for a wave windingP = 4 pairs, n = 625/60 rev/min, Φ = 30 × 10-3 Wb 2p Φ Zn Dge, Eg = c 625 2(4)(20 × 10 )( -3 ) 60 2
69. 69. Example 2.3. A 4-pole generator has a lap winding armature, with 50 slots and 16 conductors per slot. The useful flux per pole is 30mWb. Determine the speed at which the machine must be driven to generate an e.m.f. of 240 volts.
70. 70. E = 240 V, Z = 50 x 16 = 800c = 2p (for a lap winding), Φ = 30 × 10-3 Wb Ans : ( 10 rev/s )
71. 71. 2.4 Power Losses and Efficiency For any type of machine, output power is different from input power. The difference is caused by power losses that had happened whenever one type of energy is converted or delivered to the other type.
72. 72. The principal losses of machine are:• Copper loss ( I2R )• Iron losses, due to hysteresis and eddy current• Friction and windage losses• Brush and contact losses ( vB )
73. 73. 2.4.1. Efficiency of DC generator The efficiency of an electrical machine is the ratio of the output power and input. The greek letter ‘η’ (eta) is used to signify efficiency, the efficiency has no units.
74. 74. output powerefficiency, η = ( ) × 100 % input power Vo η =( ) × 100% Vo + VD VL I L η= ( ) × 100 % VL I L + I a R a + I f V f + C 2
75. 75. Example 2.4 A shunt generator supplies 96 A at a terminal voltage of 200 volts. The armature and shunt field resistances are 0.1Ω and 50Ω respectively. The iron and frictional losses are 2500 W. Find : (i) e.m.f generated. (ii) copper losses (iii) efficiency
76. 76. Example 2.5 A 75 kW shunt generator is operated at 230 V. The stray losses are 1810 W and shunt field circuit draws 5.35 A. The armature circuit has a resistance of 0.035 Ω and brush drop is 2.2 V. Calculate : 1. total losses 2. input of prime mover 3. efficiency at rated load.
77. 77. Unit 3DC Motor
78. 78. DC motors are very useful in many applications of our everyday life, forexample controlling, such as crane, tape driver, lift system and others.
79. 79. OBJECTIVES• General Objective To apply the basic principles of DC motor operation, types of DC motor and their application
80. 80. • Specific Objectives• Explain the principle operation of DC motor• List the types of DC motor• State the left-handed rule for motors• List the advantages and disadvantages of the different types of DC motors.• State typical applications of DC motors
81. 81. 3.1 INTRODUCTIONDC Motor is a machine that converts electrical energy into mechanical energy.
82. 82. Electrical MechanicalLoad Energy Energy Blok Diagram
83. 83. Electrical DC Motor
84. 84. 3. 2 THE PARTS OF DC MOTORStator armature ( rotor )
85. 85. Commutator Carbon Brushshaft Fan Stator Rotor
86. 86. field coilCross sectional of the Stator
87. 87. Armature
88. 88. Armature coilCommutatorshaft Armature
89. 89. Armature
90. 90. TEST YOUR UNDERSTANDING 1 . What is a DC motor? 2. State the uses of DC motors. 3. What are the parts of DC motors?
91. 91. 3. 3 PRINCIPLE OF OPERATIONFleming′s Left Hand Rule
92. 92. When a wire carrying current sits into a magnetic field, a force is created on the wire causing it to move perpendicular ( tegak lurus ) to the magnetic field. Thegreater the current in the wire, or the greater the magnetic field, the faster the wire moves because of the greater force created. If the wire sits parallel with the magnetic field, there will be no force on the wire.
93. 93. conductor( field ) Left-hand rule for DC motors
94. 94. field diretionpower supply
95. 95. DC motor rotation
96. 96. 3.4 TYPES OF DC MOTOR• The series DC motor• The shunt DC motor• The compound DC motor
97. 97. Series DC motor
98. 98. Shunt DC motor
99. 99. Compound DC motor
100. 100. Question 1. What are three major types of DC motor? 2. Draw the schematic diagram of series, shunt and compound of DC motors.
101. 101. 3.5 BACK ELECTROMOTIVE FORCE 2Φ N r p Eb = 60• Φ = useful flux per pole in webers• Nr = the speed in revolution per minute• P = the number of pairs of poles
102. 102. • Torque ( Daya kilas ) 60 E b I a Ta = 2Π n
103. 103. Example A 350 V shunt motor runs at its normal speed of 12rev/s when the armature current is 90 A. The resistance of the armature is 0.3 Ω. Find the speed when the armature current is 45 A and a resistance of 0.4 Ω is connected in series with the armature, the shunt field remaining constant.
104. 104. 3.6 FACTORS THAT INFLUENCE SPEED CONTROL OF DC MOTOR The speed of a dc motor is changed by changing the current in the field or by changing the current in the armature.
105. 105. Controlling motor speed.
106. 106. 3.7 REVERSE DIRECTION METHOD• The direction of rotation of a dc motor depends on the direction of the magnetic field and the direction of current flow in the armature.
107. 107. 3.8 EFFICIENCY AND POWER LOSSESKecekapan output power efficiency, η = × 100% input power VI − I R a − I f V − C 2 η =( ) × 100 % a VI
108. 108. Example A 320 V shunt motor takes a total current of 80 A and runs at 1000 rev/min. If the iron, friction and windage losses amount to 1.5 kW, the shunt field resistance is 40 Ω and the armature resistance is 0.2 Ω, determine the overall efficiency of the motor.
109. 109. Unit 4AC ELECTRIC MACHINES
110. 110. OBJECTIVESTo analyze the basic principles of operation of an AC generator and the differences between DC generator and AC generator by using commutator and slip ring.
111. 111. 4.1 INTRODUCTIONAn electric generator is a device used toconvert mechanical energy into electricalenergy.The generator is based on the principle of"electromagnetic induction" discovered byMichael Faraday Law’s.
112. 112. The simple of Electric Generator
113. 113. AC Generator
114. 114. COMMUTATORDC generator
115. 115. Output voltage
116. 116. (AC waveform)(DC waveform)
117. 117. The amount of voltage generated depends on the following:• The strength of the magnetic field.• The angle at which the conductor cuts the magnetic field.• The speed at which the conductor is moved• The length of the conductor within the magnetic field.
118. 118. 4.2 THE DIFFERENCES BETWEEN AC GENERATOR AND DC GENERATOR The difference between AC and DC generator is that the DC generator results when you replace the slip rings of an elementary generator with commutator, changing the output from AC to pulsating DC. AC generator is also called Alternator.
119. 119. 4.3 E.M.F. Equation of an Alternator E rms / phase = 2.22 KdKp f Φ Z volts where, Z = No. of conductors or coil Φ = Flux per pole in webers P = Number of rotor poles N = Rotor speed in r.p.m Kd = Distribution factor Kp = Pitch factor ⎛ 120 f ⎞ ⎜N = ⎜ ⎟ ⎟ ⎝ p ⎠
120. 120. Star-connected Delta-connected
121. 121. Example 4.1 A 3-phase, 50 Hz star-connected alternator has 180 conductors per phase and flux per pole is 0.0543 wb. Find:- a) e.m.f. generated per phase b) e.m.f. between line terminals. Assume the winding to be full pitched and distribution factor to be 0.96.
122. 122. Exersice 1 Find the number of armature conductors in series per phase required for the armature of a 3-phase, 50Hz, 10-pole alternator. The winding is star-connected to give a line voltage of 11000. The flux per pole is 0.16 wb. Assume Kp = 1 and Kd = 0.96.
123. 123. 4.4 AC motor Stator for an AC motor.
124. 124. Rotor
125. 125. Rotor
126. 126. Differences between AC Motor and DC motorIn general, AC motors cost less than DCmotors. Some types of AC motors do notuse brush carbon and commutators. What is the advantage of AC motor over DC motor ?
127. 127. 4.5 Types of AC Motor1. Series AC Motor
128. 128. 2. Synchoronous Motors
129. 129. 3. Induction Motors
130. 130. Types of starting induction motor1. Capasitor-Start
131. 131. 2. Resistance-Start.
132. 132. • Slip The actual mechanical speed (nr) of the rotor is often expressed as a fraction of the synchronous speed (ns) as related by slip (s), defined as n s − n r S= n s
133. 133. 120 f where ns = P n s − nrPercent slip, %s = × 100% ns and fr = sf fr = frequency rotor
134. 134. Example 4.2 Determine the synchronous speed of the six pole motor operating from a 220V, 50Hz source.
135. 135. Example 4.3 The stator of a 3-phase, 4 pole induction motor is connected to a 50 Hz supply. The rotor runs at 1455 rev/min at full load. Determine: a) the synchronous speed b) the slip
136. 136. Example 4.4The frequency of the supply to the stator of an 8-poleinduction motor is 50 Hz and the rotor frequency is 3 Hz.Determinei. the slipii. the rotor speed
137. 137. Example 4.5 A 4-pole, 3 phase, 50 Hz induction motor runs at 1440 rev/min at full load. Calculate a) the synchronous speed b) the percent of slip c) the frequency of the rotor.
138. 138. Unit 5TRANSFORMER
139. 139. OBJECTIVESTo understand the basic principles of a transformer, construction principle, transformer ratio, current and core, type of transformer and uses.
140. 140. At the end of the unit you will be able to :• explain the operating principles of a transformer• describe transformer construction• explain transformer ratio for voltage, current and winding coil.• calculating of the efficiency.• describe auto transformer
141. 141. Primary Secondarywinding winding Core Coil /Winding transformer construction
142. 142. 5.1 Introduction The basic transformer is an electrical device that transfers alternating-current energy from one circuit to another circuit by magnetic flux of the primary and secondary windings of the transformer.
143. 143. A transformer circuit
144. 144. A transformer circuitPrimary Secondarywinding winding
145. 145. Primary Secondary Simbol of the transformer
146. 146. The uses of the transformerA transformer is a device which used tochange the values of alternating voltagesor currents to step-up or step-down.
147. 147. High-voltage transformer
148. 148. Sub-station transformer
149. 149. 5.2 Transformer Ratio, K
150. 150. • Ep = 4.44 Np f Φm volts• Es = 4.44 Ns f Φm volts• If K < 1 i.e. Ns < Np : step-down• If K > 1 i.e. Ns > Np : step-up• If K = 1 i.e. Ns = Np : coupling
151. 151. equations of ideal transformer V p Np Is = = Vs Νs I pTransformer rating : The rating of the input power of the transformer. example : 25 kVA ( kV x Arus )
152. 152. Example 5.1 A 2000/200V, 20kVA transformer has 66 turns in the secondary. Calculate (i) primary turns (ii) primary and secondaryExample 5.2 A 250 kVA, 1100 V / 400 V, 50 Hz single-phase transformer has 80 turns on a secondary. Calculate : a) the values of the primary and secondary currents. b) the number of primary turns. c) the maximum values of flux.
153. 153. Example 5.3 An ideal 25 kVA transformer has 500 turns on the primary winding and 40 turns on the secondary winding. The primary is connected to 3000 V, 50 Hz supply. Calculate (i) primary and secondary currents (ii) secondary e.m.f. and (iii) the maximum core flux