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SYLLABUS GE2151 BASIC ELECTRICAL AND ELECTRONICS ENGINEERING L T P C (COMMON TO BRANCHES UNDER CIVIL, MECHANICAL AND TECHNOLOGY FACULTY) 3 0 0 3 UNIT I ELECTRICAL CIRCUITS & MEASURMENTS 12 Ohm’s Law – Kirchhoff’s Laws – Steady State Solution of DC Circuits – Introduction to AC Circuits Waveforms and RMS Value Power and Power Introduction to AC Circuits Waveforms and RMS Value Power and Power factor – Single Phase and Three Phase Balanced Circuits. Operating Principles of Moving Coil and Moving Iron Instruments (Ammeters and Voltmeters), Dynamometer type Watt meters and Energy meters. UNIT II ELECTRICAL MECHANICS 12 Construction, Principle of Operation, Basic Equations and Applications of DC Generators, DC Motors, Single Phase Transformer, single phase induction Motor. Dr.R.Anushya,SRREC,Padur

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  • SYLLABUS

    GE2151 BASIC ELECTRICAL AND ELECTRONICS ENGINEERING

    L T P C

    (COMMON TO BRANCHES UNDER CIVIL, MECHANICAL AND TECHNOLOGY

    FACULTY) 3 0 0 3

    UNIT I ELECTRICAL CIRCUITS & MEASURMENTS

    12

    Ohms Law Kirchhoffs Laws Steady State Solution of DC Circuits

    Introduction to AC Circuits Waveforms and RMS Value Power and PowerIntroduction to AC Circuits Waveforms and RMS Value Power and Power

    factor Single Phase and Three Phase Balanced Circuits. Operating

    Principles of Moving Coil and Moving Iron Instruments (Ammeters and

    Voltmeters), Dynamometer type Watt meters and Energy meters.

    UNIT II ELECTRICAL MECHANICS

    12

    Construction, Principle of Operation, Basic Equations and Applications

    of DC Generators, DC Motors, Single Phase Transformer, single phase

    induction Motor.

    Dr.R.Anushya,SRREC,Padur

  • UNIT III SEMICONDUCTOR DEVICES AND APPLICATIONS 12

    Characteristics of PN Junction Diode Zener Effect Zener Diode and its Characteristics Half wave and Full wave Rectifiers Voltage Regulation.

    Bipolar Junction Transistor CB, CE, CC Configurations and Characteristics Elementary Treatment of Small Signal Amplifier.

    UNIT IV DIGITAL ELECTRONICS 12

    Binary Number System Logic Gates Boolean Algebra Half and Full Adders Flip-Flops Registers and Counters A/D and D/A Conversion (single concepts)

    UNIT V FUNDAMENTALS OF COMMUNICATION ENGINEERING 12

    Types of Signals: Analog and Digital Signals Modulation and Demodulation: Principles ofTypes of Signals: Analog and Digital Signals Modulation and Demodulation: Principles ofAmplitude and Frequency Modulations. Communication Systems: Radio, TV,

    Fax, Microwave, Satellite and Optical Fibre (Block Diagram Approach only).

    TOTAL : 60 PERIODS

    REFERENCES:

    1. Muthusubramanian R, Salivahanan S and Muraleedharan K A, Basic Electrical, Electronics and Computer Engineering,Tata McGraw Hill, Second Edition, (2006).

    2. Nagsarkar T K and Sukhija M S, Basics of Electrical Engineering, Oxford press (2005).

    3. Mehta V K, Principles of Electronics, S.Chand & Company Ltd, (1994).

    4. Mahmood Nahvi and Joseph A. Edminister, Electric Circuits, Schaum Outline Series, McGraw Hill, (2002).

    5. Premkumar N, Basic Electrical Engineering, Anuradha Publishers, (2003).

    Dr.R.Anushya,SRREC,Padur

  • Ohm's law

    Dr.R.Anushya,SRREC,Padur

  • Ohm's law states that the current througha conductor between two points isdirectlyproportional to the potentialdirectlyproportional to the potentialdifference across the two points. Introducingthe constant of proportionality,the resistance,[1] one arrives at the usualmathematical equation that describes thisrelationship:[2]

    Dr.R.Anushya,SRREC,Padur

  • In circuit analysis, three equivalent

    expressions of Ohm's law are used

    interchangeably:

    Dr.R.Anushya,SRREC,Padur

  • Introduction Fundament laws that govern electric circuits:

    Ohms Law.

    Kirchoffs Law.

    These laws form the foundation upon which electric circuit analysis is built.

    Common techniques in circuit analysis and design:

    Combining resistors in series and parallel.

    Voltage and current divisions.

    Wye to delta and delta to wye transformations.

    These techniques are restricted to resistive circuits.

    Dr.R.Anushya,SRREC,Padur

  • Ohms Law

    v=iR

    *pay careful attention

    to current direction

    v=iR

    Dr.R.Anushya,SRREC,Padur

  • Value of R :: varies from 0 to infinity

    Extreme values == 0 & infinity.

    Only linear resistors obey Ohms Law.

    Short circuitShort circuit Open CircuitOpen Circuit

    Dr.R.Anushya,SRREC,Padur

  • Power:

    P = iv i ( i R ) = i2R wattsP = iv i ( i R ) = i R watts

    (v/R) v = v2/R watts

    Dr.R.Anushya,SRREC,Padur

  • Nodes, Branches & Loops

    Elements of electric circuits can be interconnected in several way.

    Need to understand some basic concepts of network topology.

    Branch: Represents a single element

    (i.e. voltage, resistor & etc)

    Node: The meeting point between two or more branches.

    Loop: Any closed path in a circuit.Dr.R.Anushya,SRREC,Padur

  • Nodes, Branches & Loops

    Determine how many branches and

    nodes for the following circuit.

    Dr.R.Anushya,SRREC,Padur

  • Nodes, Branches & Loops

    5 Branches

    1 Voltage Source

    1 Current Source

    3 Resistors

    3 Nodes

    a

    b

    c

    DKS1113 Electric CircuitsDr.R.Anushya,SRREC,Padur

  • Kirchoffs Laws Kirchoffs Current Law (KCL)

    The algebraic sum of current entering / leaving a

    node (or closed boundary) is zero.

    Current enters = +ve

    Current leaves = -ve

    current entering = current leavingDr.R.Anushya,SRREC,Padur

  • Example 5:

    Given the following circuit, write the equation for

    currents.

    Dr.R.Anushya,SRREC,Padur

  • Use KCL to obtain currents i1, i2,

    and i3 in the circuit.

    Dr.R.Anushya,SRREC,Padur

  • Kirchoffs Voltage Law (KVL)

    Applied to a loop in a circuit.

    According to KVL The algebraic sum of voltage (rises and drops) in a loop is zero.

    +

    -

    + v1 -

    - v3 +

    +

    V2

    -

    vs

    Dr.R.Anushya,SRREC,Padur

  • Use KVL to obtain v1, v2 and v3.

    Dr.R.Anushya,SRREC,Padur

  • Kirchoffs Laws

    Example 12:

    Calculate power dissipated in 5 resistor.

    10

    DKS1113 Electric CircuitsDr.R.Anushya,SRREC,Padur

  • Learning Goals - we will learn: How to simplify resistors connected in a circuit in series and in parallel.

    How to simplify and analyze more complicated networks using Kirchhoffs Rules.Kirchhoffs Rules.

    R-C circuits

    Dr.R.Anushya,SRREC,Padur

  • Series connection

    Resistors connected in a circuit in series or parallel can be simplified using the following:

    Parallel connection

    Dr.R.Anushya,SRREC,Padur

  • These complex circuits cannot be reduced to series parallel combinations. So use Kirchhoffs Rules:

    1.1.1.1. Ij = 0 junction rule(valid at any junction); conservation of chargeconservation of charge

    2.2.2.2. (Vj ) = 0 loop rule(valid for any closed loop); conservation of energy

    Dr.R.Anushya,SRREC,Padur

  • At node A, Iin = IoutI1 + I3 = I2

    Vrises = VdropsLoop #1:

    I2R2 +4+ I1R1 = 1 + 2Loop #2:Label: I2R2 +4+ I1R1 = 1 + 2Loop #2:

    3 + 2 = I2R2 + I3R3

    Label: 3 Is;+/- on Rs;loops.

    Write equations.

    Dr.R.Anushya,SRREC,Padur

  • Figure 26.66

    5.00 A = I4

    4.00I3 I2

    A

    BLabel the 3 branch currents I2, I3, and I4.

    Since VAB across all 3 branches is the same and is known: V4 = I4R4 = 5A (4) = 20 Volts, the currents and can be readily solved.

    Dr.R.Anushya,SRREC,Padur

  • V4 = I4R4 = 5A (4) = 20 VoltsI3 = V3 / R3 = 4V / 3 = 1.33 A

    At junction B, I in = I outI4 = I2 + I3 ; I2 = I4 I3 = 5A - 1.3A

    I2 = 3.7ALoop #1: V rises = V dropsLoop #1: V rises = V drops

    = I2R2 + I4R4 = 3.7A (2) + 5A(4) = 27.4 V

    Dr.R.Anushya,SRREC,Padur

  • 5.0 A

    4.00

    B

    I3 I2

    V4 = I4R4 = 5A (4) = 20 VoltsI3 = V3 / R3 = 4V / 3 = 1.33 A

    At junction B, I in = I outI4 = I2 + I3 ; I2 = I4 - I3 = 5A - 1.3A = 3.7A

    Loop #1: V rises = V drops

    = I2R2 +I4R4 = 3.7A (2) + 5A(4) =27.4 VDr.R.Anushya,SRREC,Padur

  • Series Resistors & Voltage Division

    Series resistors same current flowing through them.

    v1= iR1 & v2 = iR2

    KVL:

    v-v1-v2=0

    v= i(R +R ) v= i(R1+R2)

    i = v/(R1+R2 ) =v/Req

    or v= i(R1+R2 ) =iReq

    iReq = R1+R2

    Dr.R.Anushya,SRREC,Padur

  • Series Resistors & Voltage Division

    Voltage Division:

    Previously:

    v1 = iR1 & v2 = iR21

    i = v/(R1+R2 )

    Thus:

    v1=vR1/(R1+R2)

    v2=vR2/(R1+R2)Dr.R.Anushya,SRREC,Padur

  • Parallel Resistors & Current Division

    Parallel resistors Common voltage across it.

    v = i1R1 = i2R2

    i = i1+ i2

    = v/R1+ v/R2

    = v(1/R1+1/R2)

    =v/Req

    v =iReq

    1/Req = 1/R1+1/R2

    Req = R1R2 / (R1+R2 )Dr.R.Anushya,SRREC,Padur

  • Parallel Resistors & Current Division

    Current Division:

    Previously:

    v = i1R1 = i2R2

    v=iReq = iR1R2 / (R1+R2 ) v=iReq = iR1R2 / (R1+R2 )

    and i1 = v /R1 & i2 =v/ R2

    Thus:

    i1= iR2/(R1+R2)

    i2= iR1/(R1+R2 )Dr.R.Anushya,SRREC,Padur

  • AC AND DC CIRCUITS

    Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • SINGLE PHASE AC CIRCUITS1. AmplitudeIt is the maximum value attained by an alternating quantity. Also

    called as maximum or peak value

    2. Time Period (T)It is the Time Taken in seconds to complete one cycle of an alternating

    quantityquantity

    3. Instantaneous Value

    It is the value of the quantity at any instant

    4. Frequency (f)

    It is the number of cycles that occur in one second. The unit

    for frequency is Hz or cycles/sec.

    Dr.R.Anushya,SRREC,Padur

  • Advantages of AC system over DC systemAC voltages can be efficiently stepped up/down using transformer AC motors are cheaper and simpler in construction than DC motors Switchgear for AC system is simpler than DC system

    Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Phasor RepresentationAn alternating quantity can be represented using

    Waveform Equations PhasorPhasor

    Dr.R.Anushya,SRREC,Padur

  • In Phase

    Dr.R.Anushya,SRREC,Padur

  • Lagging

    Dr.R.Anushya,SRREC,Padur

  • Leading

    Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • THREE PHASE AC CIRCUITS

    Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • MEASURING INSTRUMENTSThe device used for comparing the unknown quantity with

    the unit of measurement or standard quantity is called a

    Measuring Instrument.

    OR

    An instrument may be defined as a machine or system

    which is designed to maintain functional relationship

    between prescribed properties of physical variables &

    could include means of communication to human

    observer.

    Dr.R.Anushya,SRREC,Padur

  • CLASSIFICATION OF INSTRUMENTSElectrical instruments may be divided into two categories, that

    are;

    1. Absolute instruments,

    2. Secondary instruments.

    - Absolute instruments gives the quantity to be measured in- Absolute instruments gives the quantity to be measured in

    term of instrument constant & its deflection.

    - In Secondary instruments the deflection gives the

    magnitude of electrical quantity to be measured directly.

    These instruments are required to be calibrated by

    comparing with another standard instrument before

    putting into use.

    Dr.R.Anushya,SRREC,Padur

  • CLASSIFICATION OF INSTRUMENTSElectrical measuring instruments may also be classified according

    to the kind of quantity, kind of current, principle of operation

    of moving system.

    CLASSIFICATION OF SECONDARY INSTRUMENTSCLASSIFICATION OF SECONDARY INSTRUMENTS

    Secondary instruments can be classified into three

    types;

    i. Indicating instruments;

    ii. Recording instruments;

    iii. Integrating instruments.

    Dr.R.Anushya,SRREC,Padur

  • CLASSIFICATION OF SECONDARY INSTRUMENTS

    - Indicating Instruments:

    It indicate the magnitude of an electrical

    quantity at the time when it is being measured. The

    indications are given by a pointer moving over a graduated

    dial.dial.

    Dr.R.Anushya,SRREC,Padur

  • CLASSIFICATION OF SECONDARY INSTRUMENTS

    - Recording Instruments:

    The instruments which keep a

    continuous record of the variations of the magnitude of an

    electrical quantity to be observed over a defined period of

    time.time.

    Dr.R.Anushya,SRREC,Padur

  • CLASSIFICATION OF SECONDARY INSTRUMENTS

    - Integrating Instruments:

    The instruments which measure the total

    amount of either quantity of electricity or electrical energy

    supplied over a period of time. For example energy meters.

    Dr.R.Anushya,SRREC,Padur

  • ESSENTIALS OF INDICATING INSTRUMENTS

    A defined above, indicating instruments are those which

    indicate the value of quantity that is being measured at the

    time at which it is measured. Such instruments consist

    essentially of a pointer which moves over a calibrated scale

    & which is attached to a moving system pivoted in bearing.& which is attached to a moving system pivoted in bearing.

    The moving system is subjected to the following three

    torques:

    1. A deflecting ( or operating) torque;

    2. A controlling ( or restoring) torque;

    3. A damping torque.

    Dr.R.Anushya,SRREC,Padur

  • DEFLECTING TORQUE

    - The deflecting torque is produced by making one

    of the magnetic, heating, chemical, electrostatic

    and electromagnetic induction effect of current

    or voltage and cause the moving system of theor voltage and cause the moving system of the

    instrument to move from its zero position.

    - The method of producing this torque depends

    upon the type of instrument.

    Dr.R.Anushya,SRREC,Padur

  • CONTROLLING TORQUE

    - The magnitude of the moving system would be some what

    indefinite under the influence of deflecting torque, unless

    the controlling torque existed to oppose the deflecting

    torque.

    - It increases with increase in deflection of moving system.- It increases with increase in deflection of moving system.

    - Under the influence of controlling torque the pointer will

    return to its zero position on removing the source

    producing the deflecting torque.

    - Without controlling torque the pointer will swing at its

    maximum position & will not return to zero after

    removing the source.

    Dr.R.Anushya,SRREC,Padur

  • - Controlling torque is produced either by spring or gravity control.

    Spring Control:

    When the pointer is deflected

    one spring unwinds itself while

    the other is twisted. This twist in

    the spring produces restoring

    (controlling) torque, which is

    proportional to the angle of

    deflection of the moving systems.

    Dr.R.Anushya,SRREC,Padur

  • Spring Control

    Dr.R.Anushya,SRREC,Padur

  • Gravity Control

    In gravity controlled instruments, a small adjustable

    weight is attached to the spindle of the moving system

    such that the deflecting torque produced by the

    instrument has to act against the action of gravity.

    Thus a controlling torque is obtained. This weight is called

    the control weight. Another adjustable weight is also

    attached is the moving system for zero adjustment andattached is the moving system for zero adjustment and

    balancing purpose. This weight is called Balance weight.

    Dr.R.Anushya,SRREC,Padur

  • DAMPING TORQUE

    We have already seen that the moving system of the

    instrument will tend to move under the action of the

    deflecting torque.

    But on account of the control torque, it will try to occupy

    a position of rest when the two torques are equal and

    opposite.opposite.

    However, due to inertia of the moving system, the pointer

    will not come to rest immediately but oscillate about its

    final deflected position as shown in figure and takes

    appreciable time to come to steady state.

    To overcome this difficulty a damping torque is to be

    developed by using a damping device attached to the

    moving system. Dr.R.Anushya,SRREC,Padur

  • DAMPING TORQUE

    The damping torque is proportional to the speed of rotation

    of the moving system, that is

    Depending upon the degree of damping introduced in the

    moving system, the instrument may have any one of the

    following conditions as depicted in above graph.

    Dr.R.Anushya,SRREC,Padur

  • DAMPING TORQUE

    1. Under damped condition:

    The response is oscillatory

    2. Over damped condition:

    The response is sluggish and it rises very slowly from its zero

    position to final position.

    3. Critically damped condition:

    When the response settles quickly without any oscillation, theWhen the response settles quickly without any oscillation, the

    system is said to be critically damped.

    Dr.R.Anushya,SRREC,Padur

  • The damping torque is produced by the

    following methods:

    1.Air Friction Damping

    2.Fluid Friction Damping

    3.Eddy Current Damping

    4.Electromagnetic

    Damping

    Dr.R.Anushya,SRREC,Padur

  • PMMC

    Principle of Operation: When a current carrying conductor is placed in a magnetic field, it experiences a force and tends to move in the direction as per Flemings left hand rule.

    Fleming left hand rule: If the first and the second finger and the thumb of the left hand are held so that they are at right the thumb of the left hand are held so that they are at right angle to each other, then the thumb shows the direction of the force on the conductor, the first finger points towards the direction of the magnetic field and the second finger shows the direction of the current in the wire.

    Dr.R.Anushya,SRREC,Padur

  • Construction:

    A coil of thin wire is mounted on an aluminum frame (spindle) positioned between the poles of a U shaped permanent magnet which is made up of magnetic alloys like alnico.

    The coil is pivoted on the jewelled bearing and thus the coil is free to rotate. The current is fed to the coil through spiral springs which are two in numbers. The coil which carries a current, which is to be measured, moves in a spiral springs which are two in numbers. The coil which carries a current, which is to be measured, moves in a strong magnetic field produced by a permanent magnet and a pointer is attached to the spindle which shows the measured value.

    Dr.R.Anushya,SRREC,Padur

  • PMMC instruments internal structure

    Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Working:

    When a current flow through the coil, it generates a magnetic field which is proportional to the current in case of an ammeter. The deflecting torque is produced by the electromagnetic action of the current in the coil and the magnetic field.

    The controlling torque is provided by two phosphorous bronze flat coiled helical springs. These springs serve as a bronze flat coiled helical springs. These springs serve as a flexible connection to the coil conductors.

    Damping is caused by the eddy current set up in the aluminum coil which prevents the oscillation of the coil.

    Dr.R.Anushya,SRREC,Padur

  • Torque Equation

    Dr.R.Anushya,SRREC,Padur

  • Advantages:

    The PMMC consumes less power and has great accuracy.

    It has uniformly divided scale and can cover arc of 270

    degree.

    The PMMC has a high torque to weight ratio.

    It can be modified as ammeter or voltmeter with

    suitable resistance.suitable resistance.

    It has efficient damping characteristics and is not

    affected by stray magnetic field.

    It produces no losses due to hysteresis.

    Dr.R.Anushya,SRREC,Padur

  • Disadvantage:

    The moving coil instrument can only be used on D.C

    supply as the reversal of current produces reversal of

    torque on the coil.

    Its very delicate and sometimes uses ac circuit with a

    rectifier.

    Its costly as compared to moving coil iron instruments. Its costly as compared to moving coil iron instruments.

    It may show error due to loss of magnetism of

    permanent magnet.

    Dr.R.Anushya,SRREC,Padur

  • Moving Iron Instruments Voltmeter and

    Ammeter

    Construction and basic principle operation of moving-iron instruments

    Moving-iron instruments are generally used to measure alternating voltages and currents. In moving-iron instruments the movable system consists of one or more pieces of specially-shaped soft iron, which are so pivoted as pieces of specially-shaped soft iron, which are so pivoted as to be acted upon by the magnetic field produced by the current in coil.

    There are two general types of moving-iron instruments namely:

    1. Repulsion (or double iron) type2. Attraction (or single-iron) type

    Dr.R.Anushya,SRREC,Padur

  • Moving-iron instrument

    An attraction type of moving-iron instrument is showndiagrammatically in Figure. When current flows in thesolenoid, a pivoted soft-iron disc is attracted towardsthe solenoid and the movement causes a pointer tomove across a scale.

    In the repulsion type moving-iron instrument shown In the repulsion type moving-iron instrument showndiagrammatically in Figure, two pieces of iron are placedinside the solenoid, one being fixed, and the otherattached to the spindle carrying the pointer.

    Dr.R.Anushya,SRREC,Padur

  • The brief description of different components of

    a moving-iron instrument is given below:

    Moving element: a small piece of soft iron in the form of a vane or rod.

    Coil: to produce the magnetic field due to current flowing through it and also to magnetize the iron pieces.

    In repulsion type, a fixed vane or rod is also used and magnetized with the same polarity.magnetized with the same polarity.

    Control torque is provided by spring or weight (gravity).

    Damping torque is normally pneumatic, the damping device consisting of an air chamber and a moving vane attached to the instrument spindle.

    Deflecting torque produces a movement on an aluminum pointer over a graduated scale.

    Dr.R.Anushya,SRREC,Padur

  • Repulsion type:

    Dr.R.Anushya,SRREC,Padur

  • Attraction type:

    Dr.R.Anushya,SRREC,Padur

  • Working:

    The deflecting torque in any moving-iron instrument is due

    to forces on a small piece of magnetically soft iron that is

    magnetized by a coil carrying the operating current. In

    repulsion type movingiron instrument consists of two

    cylindrical soft iron vanes mounted within a fixed current-

    carrying coil. One iron vane is held fixed to the coil frame

    and other is free to rotate, carrying with it the pointer shaft. and other is free to rotate, carrying with it the pointer shaft.

    Two irons lie in the magnetic field produced by the coil that

    consists of only few turns if the instrument is an ammeter

    or of many turns if the instrument is a voltmeter.

    Dr.R.Anushya,SRREC,Padur

  • Working:

    Current in the coil induces both vanes to become

    magnetized and repulsion between the similarly

    magnetized vanes produces a proportional rotation. The

    deflecting torque is proportional to the square of the

    current in the coil, making the instrument reading is a true

    RMS quantity Rotation is opposed by a hairspring that

    produces the restoring torque. Only the fixed coil carries produces the restoring torque. Only the fixed coil carries

    load current, and it is constructed so as to withstand high

    transient current.

    Moving iron instruments having scales that are nonlinear

    and somewhat crowded in the lower range of calibration

    Dr.R.Anushya,SRREC,Padur

  • Advantages:

    The instruments are suitable for use in AC and DC

    circuits.

    The instruments are robust, owing to the simple

    construction of the moving parts.

    The stationary parts of the instruments are also simple.

    Instrument is low cost compared to moving coil Instrument is low cost compared to moving coil

    instrument.

    Torque/weight ratio is high, thus less frictional error.

    Dr.R.Anushya,SRREC,Padur

  • Moving-iron instrument

    Dr.R.Anushya,SRREC,Padur

  • Construction of PMMC Instruments

    The constructional features of this instrument are shown in Fig.

    The moving coil is wound with many turns of enameled or silk

    covered copper wire.

    The coil is mounted on rectangular aluminum former, which is

    pivoted on jeweled bearings.

    The coils move freely in the field of a permanent magnet. The coils move freely in the field of a permanent magnet.

    Most voltmeter coils are wound on metal frames to provide

    the required electro-magnetic damping.

    Most ammeter coils, however, are wound on non-magnetic

    formers, because coil turns are effectively shorted by the

    ammeter shunt.

    The coil itself, therefore, provides electro magnetic damping.

    Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • PARTS:

    Dr.R.Anushya,SRREC,Padur

  • PERMANENT MAGNET

    RECTANGULAR COIL

    CONTROLLED SPRINGS

    ALLUMINIUM CYLINDRICAL CORE

    POINTER

    PIVOTS PIVOTS

    SCALE

    DUST PROOF CASE

    Dr.R.Anushya,SRREC,Padur

  • MAGNET SYSTEMS

    Old style magnet system consisted of relatively long U

    shaped permanent magnets having soft iron pole

    pieces.

    Owing to development of materials like Alcomax and

    Alnico, which have a high co-ercive force, it is possible

    to use smaller magnet lengths and high field to use smaller magnet lengths and high field

    intensities.

    The flux densities used in PMIMC instruments vary

    from 0.1 Wb/m to 1 Wb/m.

    Dr.R.Anushya,SRREC,Padur

  • CONTROL

    When the coil is supported between two jewel

    bearings two phosphor bronze hairsprings provide

    the control torque.

    These springs also serve to lead current in and out

    of the coil. The control torque is provided by the of the coil. The control torque is provided by the

    ribbon suspension as shown.

    This method is comparatively new and is claimed to

    be advantageous as it eliminates bearing friction.

    Dr.R.Anushya,SRREC,Padur

  • RECTANGULAR IN SHAPE

    WOUND ON ALUMINIUM

    FORMER WITH LARGE NO.OF

    TURNS.

    WIDTH OF RECTANGLE IS

    DEFLECTING COILS

    WIDTH OF RECTANGLE IS

    LESS THAN DISTANCE b/w

    POLES OF PM WITH AN AIR

    GAP.

    Dr.R.Anushya,SRREC,Padur

  • A LIGHT ALUMINIUM

    CYLINDER WITH

    PIVOT AT TOP AND

    BOTTOM IS MADE

    ALUMINIUM CORE

    BOTTOM IS MADE

    TO FIT OVER THE

    AXLE OF MOVING

    COIL AND ACTS AS

    DAMPING

    MECHANISMS.

    Dr.R.Anushya,SRREC,Padur

  • POINTER AND SCALE:

    Dr.R.Anushya,SRREC,Padur

  • The pointer is carried by the spindle and moves

    over a graduated scale.

    The pointer is of lightweight construction and,

    apart from those used in some inexpensive

    instruments has the section over the scale twisted

    to form a fine blade.

    This helps to reduce parallax errors in the reading This helps to reduce parallax errors in the reading

    of the scale. When the coil is supported between

    two jewel bearings two phosphor bronze

    hairsprings provide the control torque.

    These springs also serve to lead current in and out

    of the coil.

    Dr.R.Anushya,SRREC,Padur

  • THE WHOLE

    INSTRUMENT IS

    ENCLOSED IN A DUST

    PROOF CASE

    DUST PROOF CASE

    PROOF CASE

    THE SHAPE AND SIZE

    OF THE CASE

    DEPENDS UPON THE

    CAPACITY OF THE

    INSTRUMENT

    Dr.R.Anushya,SRREC,Padur

  • IT WORKS ON THE

    PRINCIPLE OF DC

    MOTOR

    WHEN CURRENT

    WORKING

    WHEN CURRENT

    PASSES THROUGH

    THE COIL,IT

    PRODUCES FLUX OF

    THE CORE

    Dr.R.Anushya,SRREC,Padur

  • THE FLUX DENSITY AT ONE SIDE INCREASES

    WHILE OTHER SIDE DECREASES

    THIS IMBALANCE EXERTS A FORCE ON THE

    CONDUCTOR IN THE DIRECTION OF LEAST

    WORKING

    CONDUCTOR IN THE DIRECTION OF LEAST

    FLUX DENSITY

    Dr.R.Anushya,SRREC,Padur

  • TORQUE

    >Torque, moment or moment of force is the tendency of a force to rotate an object about an axis, fulcrum, or pivot.

    >DEFLECTING TORQUE=TOTAL FORCE*DISTANCE

    =>Td=NABI

    N=NO.OF TURNSN=NO.OF TURNS

    B=FLUX DENSITY

    A=AREA OF CROSS SECTION

    I=CURRENT

    >AT FINAL DEFLECTION Td=Tc

    =>Tc PROPORTIONAL TO I

    HERE DAMPING IS EDDY CURRENT DAMPINGDr.R.Anushya,SRREC,Padur

  • - The PMMC consumes less power and has great

    accuracy.

    - It has uniformly divided scale and can cover arc of

    270 degree.

    - The PMMC has a high torque to weight ratio.

    ADVANTAGES:

    - The PMMC has a high torque to weight ratio.

    - It can be modified as ammeter or voltmeter with

    suitable resistance.

    - It has efficient damping characteristics and is not

    affected by stray magnetic field.

    - It produces no losses due to hysteresis.Dr.R.Anushya,SRREC,Padur

  • -The moving coil instrument can only be used on D.C supply as the reversal of current produces reversal of torque on the coil.

    - Its very delicate and sometimes uses ac circuit with a rectifier.

    DISADVANTAGES:

    with a rectifier.

    - Its costly as compared to moving coil iron instruments.

    - It may show error due to loss of magnetism of permanent magnet.

    You may also read Minimize the risk of electrical shock on ship.

    Dr.R.Anushya,SRREC,Padur

  • DYNAMOMETER

    This instrument is suitable for the measurement of direct and

    alternating current, voltage and power.

    The deflecting torque in dynamometer is relies by the

    interaction of magnetic field produced by a pair of fixed air

    cored coils and a third air cored coil capable of angular

    movement and suspended within the fixed coil.movement and suspended within the fixed coil.

    Dr.R.Anushya,SRREC,Padur

  • Single Phase induction type energy meter :

    Dr.R.Anushya,SRREC,Padur

  • Construction:

    Driving System

    Moving System Moving System

    Breaking System

    Registering system

    Dr.R.Anushya,SRREC,Padur

  • Driving system:

    consist of two electromagnets : one formed by

    current coil & other by voltage coil or pressure coil.

    It develops torque to rotate the moving system

    Shading bands are bound to make angle b/w the

    flux and applied voltage equal to 90 degree

    Moving system:Moving system:

    consists of an aluminum disk mounted on the

    spindle which is supported by Pivot-jewel Bearing

    system.

    Rotation of this disk is base of energy measurement

    Dr.R.Anushya,SRREC,Padur

  • Breaking system:

    Consists of a permanent magnet of c shaped

    covering a part of rotating disk to provide

    breaking torquebreaking torque

    this torque is opposite to driving torque.

    Registering system: displays the amount of energy

    Dr.R.Anushya,SRREC,Padur

  • Dr.R.Anushya,SRREC,Padur

  • Working:

    When the energy meter is connected in the circuit,

    the current coil carries the load current and the

    pressure coil carries the current proportional to the

    supply voltage.

    The magnetic field produced by the SERIES magnet The magnetic field produced by the SERIES magnet

    (series coil) is in phase with the line current & the

    magnetic field produced by the shunt magnet

    (pressure coil) is in quadrature with the applied

    voltage (since the coil is highly inductive).

    Dr.R.Anushya,SRREC,Padur

  • Thus, a phase difference exists between the fluxes

    produced by the two coils. This sets up a rotating

    field which interacts with the eddy current

    produced in the disc(because of induced emf) and

    produces a driving torque and, thus, disc starts

    rotating.

    The number of revolutions made by the disc

    depends upon the energy passing through the

    meter. The spindle is geared to the recording

    mechanism so that electrical energy consumed in

    the circuit is directly registered in KWh.Dr.R.Anushya,SRREC,Padur

  • The speed of the disc is adjusted by

    adjusting the position of the breaking

    magnet.

    For example, if the energy meter registers

    less energy than the energy actually

    Working:

    less energy than the energy actually

    consumed in the circuit, then the speed of

    disc has to be increased which is obtained by

    shifting the magnet nearer to the centre of

    the Disc and vice-versa.

    Dr.R.Anushya,SRREC,Padur

  • Advantages: The induction type energy meter have high

    accuracy.

    They are simple and robust in construction.

    They require minimum maintenance.

    They are cheap in cost.

    Their range can be increased by using instrument

    transformer.

    Dr.R.Anushya,SRREC,Padur