Basic electrical engineering, Study notes of Electrical Engineering

Basic electrical engineering for students

Typology: Study notes

2024/2025

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4.1 Introduction

 An induction motor or asynchronous motor is an AC electric motor in which the electric current in the rotor needed to produce torque is obtained by electromagnetic induction from the magnetic field of the stator winding.  Three-phase squirrel-cage induction motors are widely used as industrial drives because they are rugged, reliable and economical.  The induction motor is maintenance free. It has high overloading capacity.  Single-phase induction motors are used extensively for smaller loads, for household appliances like ceiling fans. Although traditionally used in fixed-speed applications, induction motors are increasingly being used with variable-frequency drives (VFDs) in variable-speed applications like in cranes, lifts, cement plants, ceramic plants, food processing industries etc.  VFDs offer energy savings opportunities for existing and prospective induction motors in variable-torque centrifugal fan, pump and compressor load applications.

4.2 Construction of Induction Motor

 A three phase Induction motor mainly consists of two parts called as the Stator and Rotor. (a) Stator  It is the stationary part of the induction motor.  The stator is built up of high-grade alloy steel laminations to reduce eddy current losses.  It has three main parts, outer frame, stator core and a stator winding.

Outer Frame Stator Core

Terminal Box

Base

Stator Winding

Stator Slots

Figure 4.1 Outer frame of an induction motor o Outer frame  It is the outer body of the motor. Its main function is to support the stator core and to protect the inner parts of the machine.

 For small machines, the outer frame is casted, but for the large machine, it is fabricated.

o Stator Core  The core of the stator carries three phase windings which are usually supplied from a three-phase supply system.  The stator core is built of high-grade silicon steel stampings.  Its main function is to carry the alternating magnetic field which produces hysteresis and eddy current losses.

o Stator windings  The stator windings are housed in stator slots with double layer winding.  These windings are distributed and are mostly short pitched.  Anyway, the stator of the motor is wound for a definite number of poles, depending on the speed of the motor.  The windings may be connected in star or delta.  As the relationship between the speed and the pole of the motor is given as

(b) Rotor  It is the rotating part of induction motor  The rotor is also built of thin laminations of the same material as the stator.  The laminated cylindrical core is mounted directly on the shaft.  These laminations are slotted on the outer side to receive the conductors. There are two types of rotor:

o Squirrel cage rotor  A squirrel cage rotor consists of a laminated cylindrical core.  The circular slots at the outer periphery are semi-closed. Each slot contains uninsulated bar conductor of aluminum or copper.  At the end of the rotor the conductors the short-circuited by a heavy ring of copper or aluminum.  Now a days this type of motors are widely used in domestic as well as commercial purposes.  This type of motors required low maintanance compare to wound rotor type motors.

 We have consider the 1/6th^ time period apart corresponding to points marked 0, 1, 2 and 3 in Figure 2.1 (a).

m

Phase -I Phase -II^ Phase -III

Phase-I

1200 1200 1200

O

Phase-II

Phase-III

Figure 4.4 (a) Phasor representation Figure 4.4 (b)

When= 0^0 (At point 0)

When  = 60^0

(At point 1)

When  = 120^0

(At point 2)

When  = 180^0

(At point 3)

600

 2  3

r

Figure 4.

600

 2

r^ ^1

(^) Figure 4.

600

r  3

 1

Figure 4.

600

r

 3  2

(^) Figure 4.

√^3

√^3

√^3

√^3

√^3

When= 0^0 (At point 0) 2 2 2 3 2 2 3cos 2 2 (^3 3 2 3 3) cos 60 0 2 2 2 2

(^3 3 3 1 ) 4 4 2 2 (^3 3 3 ) 4 (^9 ) 4 3 2

r

m m m m

m

m

m

m

Resultant flux

 ^ 

 ^ ^  

 ^ 

When  =

(At point 1)

(^2 2 2) cos 1 2 1 2 2 2 (^3 3 2 3 3) cos 60 0 2 2 2 2

3 3 3

Resultant flux

r

m m m m

m

m

m

m

 ^ 

 ^ ^  

 ^ 

Rotation of field

Rotor

Stator

Rotor Conductor

Flux Direction

Motion of conductor relative to field

Figure 4.9 (a) Figure 4.9 (b)

Rotation of field

Stator

Rotor conductorForce as

Flux

Figure 4.9 (c) Figure 4.9 (d)  By completing the rotor circuit either using end rings or external resistances the induced emf causes current to flow in the conductor.  By using right hand rule we can determine the direction of induced current in the conductor.  By using right hand rule the direction of the induced current is outwards (shown as dot) in Figure 4.9 (b).  The current in the rotor conductor produces its own magnetic field as shown in Figure 4. (a).  We know that when a current carrying conductor put in a magnetic field a force is produced. This force is produced on the rotor conductor.  The direction of this force can be calculated by using left-hand rule as shown in Figure 4. (d).  It is seen that the force acting on the conductor is in the same direction as the direction of the rotating magnetic field.  The rotor conductor is in a slot on the circumference of the rotor, the force acts in a tangential direction to the rotor and develops a torque in a rotor.  Similarly, torque produces in all the rotor conductors.  Since, the rotor is free to move then it rotates in the same direction as the rotating magnetic field. Thus, three phase induction motor is self-starting motor.

4.5 Construction and working of Single phase induction motor:-

 Single phase motors are very widely used in home, offices, workshops etc. as power delivered to most of the houses and offices is single phase.  In addition to this, single phase motors are reliable, cheap in cost, simple in construction and easy to repair.

 Single phase electric motors can be classified as:

  1. Single phase induction motor (Split phase, Capacitor and shaded pole etc)
  2. Single phase synchronous motor
  3. Repulsion motor etc.

4.6 Single phase Induction motor

o Construction

 Construction of a single phase induction motor is similar to the construction of three phase induction motor having squirrel cage rotor, except that the stator is wound for single phase supply.  Stator is also provided with a 'starting winding’ and ‘running winding’.

Figure 4.10 Single phase induction motor

Figure 4.11 Single phase induction motor Construction

o Working principle of single phase induction motor

 We know that when the stator of a single phase motor is fed with single phase supply, it produces alternating flux in the stator winding.

 As explained above, single phase induction motor is not self-starting. To make it self- starting, it can be temporarily converted into a two-phase motor while starting.  This can be achieved by introducing an additional 'starting winding' also called as auxiliary winding.  Hence, stator of a single phase motor has two windings: o Main winding and o Starting winding (Auxiliary winding).  These two windings are connected in parallel across a single phase supply and are spaced 90 electrical degrees apart.  Phase difference of 90^0 can be achieved by connecting a capacitor in series with the starting winding.  Hence the motor behaves like a two-phase motor and the stator produces revolving magnetic field which causes rotor to run.  Once motor gathers speed, say upto 80 or 90% of its normal speed, the starting winding gets disconnected form the circuit by means of a centrifugal switch, and the motor runs only on main winding.

Figure 4.13 Single phase induction motor circuit diagram

o Applications of Induction motors

 Deep Well Water Pumps  Refrigerator and Compressors  Small water pumps  Ceiling fan  Washing machines

4.9 DC Motor

DC motors are classified as  Separately Excited DC motor An extra dc supply or excitation need to start this type of motor.  Self-excited DC motor No need of extra dc supply to start this type of dc motor Construction and working of Separately Excited DC motor:

 The DC motor is the device which converts the direct current into the mechanical work. It works on the principle of Lorentz Law, which states that “the current carrying conductor placed in a magnetic and electric field experience a force”. And that force is called the Lorentz force.  The Fleming’s left-hand rule gives the direction of the force.

4.10 Construction of Separately Excited DC motor

 The construction of DC motor is same as that of DC generator. Construction of DC motor is given below:

Commutator

Armature Brush Conductors

Armature

Field Winding

Pole

Yoke

Terminal Box

Figure 4.14 Construction of DC motor

Main parts of a DC motor are: o Yoke  Yoke is also called as frame. It provides the protection to the armature, commutator, windings and other and other parts from moisture and dust.  It also provide mechanical support to field poles.  It is made from law reluctance material like cast iron, silicon steel etc.  For small DC machines it is made from cast iron while for large machines it is made from silicon steel.  The steel frame of yoke is affix at the bottom of the frame.

 They rest on commutator segments and slide on the segments when the commutator rotates keeping the physical contact to collect or supply the current.

o Bearings  It is provided to reduce friction loss in DC machines.  It is mounted on driving end and non-driving end of the shaft.

 Working of DC motor

o Fleming’s Left Hand Rule  The Fleming’s left hand rule is used to find out the direction of force acting on the armature conductors of dc motor.  If the thumb, middle finger and the index finger of the left hand are displaced from each other by an angle of 90°, the middle finger represents the direction of the magnetic field. The index finger represents the direction of the current, and the thumb shows the direction of forces acting on the conductor.

Figure 4.15 Fleming’s left hand rule

 The force can be calculated by following formula: FBIL ( Newton )  There is no difference between a dc motor and a dc generator. The same machine we can use as a motor or generator.  When the machine is operated as a generator, it is driven by the mechanical machine (prime mover) and it develops voltage which produces a flow of current in an electric circuit.  When a machine is operated as a motor, it is supplied electric current and it develops torque (force) which produces mechanical action.

o Back EMF

Figure 4.16 DC shunt motor

 When the armature of DC motor rotates, in a magnetic field, armature conductors cut the magnetic flux. Therefore an emf is induced according to Faraday’s law of electromagnetic induction in it, whose direction is in the opposition to the applied voltage (according to Len’z law).  Because of the opposite direction it is called the counter emf or Back emf. It’s value is always less than the applied voltage.  It can be calculated by,

b 60

ZN P

E Volt A

 The applied voltage (V) has to force current through the armature conductors against this back emf.  The electric work done in overcoming this opposition is converted into mechanical energy developed in the armature.  Energy conversion is not possible unless there is some opposition. In DC generators, the opposition is provided by magnetic force and in dc motors, back emf does this job.

4.11 Synchronous Generator

Synchronous machines are classifies as:

  • Synchronous Generator and
  • Synchronous motor  Synchronous generators are widely used to generate constant voltage output, that is why synchronous generators are used in power plants (for examples- Thermal power plants and hydro power plans, Diesel power plants etc.)

o Construction of Synchronous generator

 Construction wise, an alternator consists of field poles placed on the rotating fixture of the machine i.e. rotor as shown in the Figure 4.17 below.  All modern electrical power generating stations use this technology for generation of three-phase power, and as a result, the alternator or synchronous generator has become a subject of great importance and interest for power engineers.  An alternator is basically a type of AC generator which also known as synchronous generator. The field poles are made to rotate at synchronous speed Ns = 120 f/P for

Figure 4.18 Salient pole type rotor

 An alternator as mentioned earlier is mostly responsible for generation of very high electrical power.  To enable that, the mechanical input given to the machine in terms of rotating torque must also be very high. This high torque value results in oscillation or hunting effect of the alternator or synchronous generator.  To prevent these oscillations from going beyond bounds the damper winding is provided in the pole faces as shown in the Figure 4..  The damper windings are basically copper bars short-circuited at both ends are placed in the holes made in the pole axis.

 When the alternator is driven at a steady speed, the relative velocity of the damping winding with respect to the main field will be zero.  But as soon as it departs from the synchronous speed there will be relative motion between the damper winding and the main field which is always rotating at synchronous speed.  This relative difference will induce the current in them which will exert a torque on the field poles in such a way as to bring the alternator back to synchronous speed operation.

 The salient pole type motor is generally used for low-speed operations of around 100 to 400 rpm, and they are used in power stations with hydraulic turbines or diesel engines.  Salient pole alternators driven by water turbines are called hydro-alternators or hydro generators.

o Cylindrical Rotor Type  The cylindrical rotor is generally used for very high speed operation and employed in steam turbine driven alternators like turbo generators.  The machines are built in a number of ratings from 10 MVA to over 1500 MVA.

 The cylindrical rotor type machine has a uniform length in all directions, giving a cylindrical shape to the rotor thus providing uniform flux cutting in all directions.  The rotor, in this case, consists of a smooth solid steel cylinder, having a number of slots along its outer periphery for hosting the field coils.

Figure 4.19 Cylindrical Rotor

The cylindrical rotor alternators are generally designed for 2-pole type giving very high speed of

 Where, f is the frequency of 50 Hz. The cylindrical rotor synchronous generator does not have any projections coming out from the surface of the rotor, rather central polar area is provided with slots for housing the field windings as we can see from the diagram above.  The field coils are so arranged around these poles that flux density is maximum on the polar central line and gradually falls away as we move out towards the periphery.  The cylindrical rotor type machine gives better balance and quieter-operation along with lesser windage losses.

o Working Principle of Synchronous generator

Operate on principle of electromagnetic induction

  • Stationary armature and rotating field
  • Rotor is rotated using a prime mover
  • When the rotor rotates, the stationary conductors are cut by the magnetic flux
  • Hence emf is induced in three phase alternators, the rotor flux will induce 3-phase voltages displaced in time by 120^0 emf induced is AC in nature
  • AC voltage will give rise to AC current when a load is connected to stator