9 DC Machines Fundamentals Stator: is the stationary part of the machine. The stator carries a field winding that is used to produce the required magnetic field by DC excitation.Rotor (Armature): is the rotating part of the machine. The rotor carries a distributed winding, and is the winding where the e.m.f. is induced.Field winding: Is wound on the stator poles to produce magnetic field (flux) in the air gap.Armature winding: Is composed of coils placed in the armature slots.Commutator: Is composed of copper bars, insulated from each other. The armature winding is connected to the commutator.Brush: Is placed against the commutator surface. Brush is used to connect the armature winding to external circuit through commutator
10 DC Machines Fundamentals In DC machines, conversion of energy from electrical to mechanical form or vice versa results from the following two electromagnetic phenomenaGenerator action:An e.m.f. (voltage) is induced in a conductor if it moves through a magnetic field.Motor action:A force is induced in a conductor that has a current going through it and placed in a magnetic fieldAny DC machine can act either as a generator or as a motor.
11 DC Machines Equivalent Circuit The equivalent/modelling circuit of DC machine has two components:Armature circuit:It can be represented by a voltage source and a resistance connected in series (the armature resistance). The armature winding has a resistance, RA.The field circuit:It is represented by a winding that generates the magnetic field and a resistance connected in series. The field winding has resistance RF.
14 Classification of DC Motor 1. Separately Excited DC MotorField and armature windings are either connected separate.2. Shunt DC MotorField and armature windings are either connected in parallel.3. Series DC MotorField and armature windings are connected in series.4. Compound DC MotorHas both shunt and series field so it combines features of series and shunt motors.
15 Equivalent Circuit of a DC Motor Armature circuit - voltage source, EA and a resistor, RA.The field coils, which produce the magnetic flux are represented by inductor, LF and resistor, RF.The separate resistor, Radj represents an external variable resistor used to control the amount of current in the field circuit. Basically it lumped together with Rf and called Rf
16 Equivalent Circuit of DC Motor 1. Separately Excited DC Motor2. Shunt DC Motor
18 Important terms in DC motor equivalent circuit VT – supply voltageEA – internal generated voltage/back e.m.f.RA – armature resistanceRF – field/shunt resistanceRS – series resistanceIL – load currentIF – field currentIA – armature currentn – speed
19 Speed of a DC Motor For shunt motor For series motor Flux, ϕ produce proportional to the current produceIf Constant field excitation, means; if1 = if2 or constant flux; 1 = 2
20 Example 1A 250 V, DC shunt motor takes a line current of 20 A. Resistance of shunt field winding is 200 Ω and resistance of the armature is 0.3 Ω. Find the armature current, IA and the back e.m.f., EA.
21 Solution Given parameters: Terminal voltage, VT = 250 V Field resistance, RF = 200 ΩArmature resistance, RA = 0.3 ΩLine current, IL = 20 AFigure 1
22 Solution (cont..) the field current, the armature current, VT = EA + IARAthe back e.m.f.,EA = VT – IARA = 250 V – (18.75)(0.3) = V
23 Example 2A 50hp, 250 V, 1200 rpm DC shunt motor with compensating windings has an armature resistance (including the brushes, compensating windings, and interpoles) of 0.06 Ω. Its field circuit has a total resistance Radj + RF of 50 Ω, which produces a no-load speed of 1200 rpm. There are 1200 turns per pole on the shunt field winding.
24 Example 2 (cont..)Find the speed of this motor when its input current is 100 A.Find the speed of this motor when its input current is 200 A.Find the speed of this motor when its input current is 300 A.
25 Solution Given quantities: Terminal voltage, VT = 250 V Field resistance, RF = 50 ΩArmature resistance, RA = 0.06 ΩInitial speed, n1 = 1200 r/minFigure 2
26 Solution (cont..)(a) When the input current is 100A, the armature current in the motor isTherefore, EA at the load will be
27 Solution (cont..)The resulting speed of this motor is
28 Solution (cont..)(b) When the input current is 200A, the armature current in the motor isTherefore, EA at the load will be
29 Solution (cont..)The resulting speed of this motor is
30 Solution (cont..)(c) When the input current is 300A, the armature current in the motor isTherefore, EA at the load will be
31 Solution (cont..)The resulting speed of this motor is
32 Example 3The motor in Example 2 is now connected in separately excited circuit as shown in Figure 3. The motor is initially running at speed, n = 1103 r/min with VA = 250 V and IA = 120 A, while supplying a constant-torque load. If VA is reduced to 200 V, determinei). the internal generated voltage, EAii). the final speed of this motor, n2
38 Example 4A DC series motor is running with a speed of 800 r/min while taking a current of 20 A from the supply. If the load is changed such that the current drawn by the motor is increased to 55 A, calculate the speed of the motor on new load. The armature and series field winding resistances are 0.2 Ω and 0.3 Ω respectively. Assume the flux produced is proportional to the current. Assume supply voltage as 200 V.
43 Generating of an AC Voltage The voltage generated in any DC generator inherently alternating and only becomes DC after it has been rectified by the commutator
44 Armature windingsThe armature windings are usually former-wound. This are first wound in the form of flat rectangular coils and are then puller.Various conductors of the coils are insulated each other. The conductors are placed in the armature slots which are lined with tough insulating material.This slot insulation is folded over above the armature conductors placed in the slot and is secured in place by special hard wooden or fiber wedges.
45 Generated or back e.m.f. of DC Generator General form of generated e.m.f.,Φ = flux/pole (Weber)Z = total number of armature conductors= number of slots x number of conductor/slotP = number of polesA = number of parallel paths in armature[A = 2 (for wave winding), A = P (for lap winding)]N = armature rotation (rpm)E = e.m.f. induced in any parallel path in armature
46 Classification of DC Generator 1. Separately Excited DC GeneratorField and armature windings are either connected separate.2. Shunt DC GeneratorField and armature windings are either connected in parallel.3. Series DC GeneratorField and armature windings are connected inseries.4. Compound DC GeneratorHas both shunt and series field so it combinesfeatures of series and shunt motors.
47 Equivalent circuit of DC generator Separately excited DC generatorShunt DC generator
49 ExampleA DC shunt generator has shunt field winding resistance of 100Ω. It is supplying a load of 5kW at a voltage of 250V. If its armature resistance is 0.02Ω, calculate the induced e.m.f. of the generator.
50 Solution Given quantities Terminal voltage, VT = 250V Field resistance, RF = 100ΩArmature resistance, RA = 0.22ΩPower at the load, P = 5kW
51 Solution (cont..) EA = VT + IA RA = 250V + (22.5)(0.22) = 254.95V The field current,The load current,The armature current, IA = IL + IF = 20A + 2.5A = 22.5AThe induced e.m.f.,EA = VT + IA RA = 250V + (22.5)(0.22) = V
52 Power flow and losses in DC machines DC generators take in mechanical power and produce electric power while DC motors take in electric power and produce mechanical powerEfficiency
53 The losses that occur in DC machine can be divided into 5 categories Copper losses (I2R)Brush lossesCore lossesMechanical lossesStray load lossesIa = armature currentIf = field currentRa = armature resistanceRf = field resistance
54 Power Losses Core losses – Hysteresis losses and Eddy current losses Mechanical losses – The losses that associated with mechanical effects.Two basic types of mechanical losses: Friction & Windage.Friction losses caused by the friction of the bearings in the machine.Windage are caused by the friction between the moving parts of the machine and the air inside the motor casing’sStray losses (Miscellaneous losses) – Cannot placed in one of the previous categories.
57 ExampleA short-shunt compound generator delivers 50A at 500V to a resistive load. The armature, series field and shunt field resistance are 0.16, 0.08 and 200, respectively.Calculate the armature current if the rotational losses are 520W, determine the efficiency of the generator
58 Solution Armature Copper Loss Series Field Copper Loss Shunt Field Copper LossFriction + Stray + windage + etc:Total Losses =
61 INDUCTION MACHINEThe induction machine is the most rugged and the most widely used machine in industry.Like dc machine, the induction machine has a stator and a rotor mounted on bearings and separated from the stator by an air gap.However, in the induction machine both stator winding and rotor winding carry alternating currents.The induction machine can operate both as a motor and as generatorAs motors, they have many advantages.They are rugged, relatively inexpensive and require very little maintenance.They range in size from a few watts to about 10,000 hp.The speed of an induction motor is nearly but not quite constant, dropping only a few percent in going from no load to full load.
62 The main disadvantages of induction motors are The speed is not easily controlled.The starting current may be five to eight times full-load current.The power factor is low and lagging when the machine is lightly loaded
63 INDUCTION MOTOR CONSTRUCTION Two different types of induction motor which can be placed in statora) squirrel cage rotorb) wound rotorSquirrel Cage rotorWound rotor
64 Types of rotorSquirrel cage rotor – consists of conducting bars embedded in slots in the rotor magnetic core and these bars are short circuited at each end by conducting end rings. The rotor bars and the rings are shaped like squirrel cage.Wound rotor – carries three windings similar to the stator windings. The terminals of the rotor windings are connected to the insulated slip rings mounted on the rotor shaft. Carbon brushes bearing on these rings make the rotor terminals available to the user of the machine. For steady state operation, these terminals are short circuited.
66 Wound RotorMost motors use the squirrel-cage rotor because of the robust and maintenance-free construction.However, large, older motors use a wound rotor with three phase windings placed in the rotor slots.The windings are connected in a three-wire wye.The ends of the windings are connected to three slip rings.Resistors or power supplies are connected to the slip rings through brushes for reduction of starting current and speed control
68 BASIC INDUCTION MOTOR CONCEPT A single/three phase set of voltages has been applied to the stator, and single/three phase set of stator currents is flowing. These produce a magnetic field Bs, which is rotating in a counterclockwise direction .The speed of the magnetic field’s rotation is
69 THE CONCEPT OF ROTOR SLIP The voltage induced in a rotor depends on the speed of the rotor relative to the magnetic field.Slip speed is defined as the difference between synchronous speed and rotor speedwherenslip = slip speed of the machinensync = speed of the magnetic fieldsnm = mechanical shaft speed of motorSlip is the relative speed expressed on a per unit or a percentage basis
70 In term angular velocity (radians per second, rps) If the rotor turns at synchronous speed, s = 0while if the rotor is stationary/standstill, s = 1
71 THE ELECTRICAL FREQUENCY CONCEPT Like a transformer, the primary (stator) induces a voltage in the secondary (rotor) but unlike a transformer, the secondary frequency is not necessary the same as the primary frequency.If the rotor of a motor is locked, then the rotor will have same frequency as the stator.The rotor frequency can be expressed
72 ExampleA 208V, 10hp, 4 pole, 60Hz, Y connected induction motor has full load slip of 5%.Calculate,synchronous speed, nsync (Ans:1800rpm)rotor speed, nm (Ans: 1710rpm)rotor frequency, fr at the rated load (Ans: 3 Hz)Shaft torque at the rated load (Ans: 41.7Nm)
73 The derivation of the induction motor induced-torque equation The induced torque in induction motor isAir gap powerTotal Air gap power
74 Assignment 6.5A two pole, 50hz induction motor supplies 15kW to a load at speed 2950 rpm.What is the motor’s slip? (Ans:1.67%)What is the induced torque in the motor in Nm under these conditions? (48.6Nm)What will the operating speed of the motor be if its torque is doubled? (2900 rpm)How much power will be supplied by the motor when the torque is doubled? (29.5kW)
75 Speed control of induction motors Induction motor speed control by polechangingSpeed control by changing the line frequencySpeed control by changing the line voltageSpeed control by changing the rotorresistance