Unit 1 PEMD
Unit 1 PEMD
IUNIT 11
       large conduc tor sizes have to be used. Power factor               Indian standards these are issued by Bureau of Indian
       problem is particularly import ant in case of inducti on           Standards_ (BIS), Manak Bhavan, Bahad ur Shah Zafar Road,
                                                                          New Delhi
           motor.
PRIN. OF ELEC. MACHINE DESIGN (BATU ELECT.)                             (1.5)                   PRINOPLES AND DESIGN OF ELECTRICAL MACHINE
•       The Standard Specifications Issued for Electrical                       •         IS 4722 - 1992 : Specifications for rotating electrical
        Machines:                                                                         machines.
        ► Standard ratings of machines                                          •         IS 12802 - 1989 : Temperatute rise measurement of
        ► Types of enclosure                                                              rotating electrical machines.
        ► stand ard dimensions of conductors to be used                         •         IS 4889 -· 1968 Method of determination of efficiency
        ► Meth0 d of marking ratings and name plate details.                              of rotating electrical machines.
        ► Performance specifications to be used                                 •         IS 13555 - 1993 : Guide for selection and application of
            ► T_ypes of insulation and permissible temperature                            three phase induction for different types of driven
                    nse                                                                   equipment.
            ► Permissible losses and range of efficiency                        •         IS 7132 -1973 : Guide for testing Synchronous
            ► Procedure for testing of machine parts and                                   machines.
                     machines                                                       •      IS 5422 - 1996 : Turbine type generators.
            ► Auxiliary equipments to be provided                                   •      IS 7572 - 1974 : Guide for testing single-phase ac and
                ► Cooling methods to be adopted                                            universal motors.
    •           In India, the Bureau of Indian standards (BIS) has laid             •      IS 8789 - 1996 : Values of performance characteristics
                down their specification (ISI) for various products. The                    for three phase induction motors.
                 standards will be amended time to time, in order to                •       IS 12066 - 1986 : Three phase induction motors for
                 include the latest developments in technology.                              machine tools.
    •           The name plate of the rotating machine has to bear                  •          IS 1180 - 1989 : Specifications for outdoor 3-phase
                the following details as per ISi specifications.                               distribution transformer 100 kVA. [Sealed and Non-
                                                                                                sealed type)
                ►     KW or KVA rating of machine
                                                                                        • IS 2026 - 1994 : Specifications of power transformers.
                ►     Rated working voltage
                                                                                        • IS 11171 - 1985 :_ Dry type power transformers.
                 ►    Operating speed                                                   • IS 5142 - 1969 : Continuously variable voltage auto
                 ►    Full load current                                                         transformers
                 ►    Class of insulation                                               • IS 10028 -1985 : Code of practice for selection,
                 ►     Frame size                                                                installation and maintenance of transformers.
                 ►     Manufacturers name                                                • IS 10561 - 1983 : Application guide for power
                                                                                                 transformers.
                 ►     Serial number of the product
                                                                                         • IS 13956 - 1994 : Testing transformers.
        1.9.2 Some of the Indian Standard Specifications
                                                                                         • IS 9678 - 1980 : Methods of measuring temperature
              Numbers along with Year of Issue for                                                rise of electrical equipment.
              Electrical Machines are Listed Here                                         • IS 12063 - 1987 : Classification of degree of protections
        •         IS 325 - 1996 : Specifications for three phase induction                        provided by enclosures of electrical equipment.
                  motor.                                                                  • IS 3855 - 1966 : Standard dimensions of rectangular
        •         IS 1231 - 1974 : Specifications       for foot mounted                           enamelled Copper conductor.
                  induction motor.                                                         • IS 449 - 1962, : Standard dimensions of enamelled
        •         IS 4029 - 1967 : Guide for testing three phase                                   round Copper conductor (oleo resinous enaniel).
                                                                                           • IS95 - 1960 : Standard dimensions of enamelled rounc
                  induction motor.
                                                                                                    copper conductor (synthetic enamel).
        •         IS 996 - 1979 : Specifications for single phase cc and
                                                                                            • IS 1897 - 1962: Standard dimensions of bore coppe
                  universal meter.
                                                                                                    strip.
        •         IS 1885 - 1993 : Specifications for electric and magnetic
                                                                                            • IS 1666 - 1961 : Standard dimensions of paper covere
                  circuits.                                                                         rectangular copper conductor for transformer windin~
            •     IS 9499 - 1980 : Conventions concerning electric and                       • IS 2068 - 1962 : Standard dimensions of cottc
                    magnetic circuits.                                                               covered rectangular copper conductor for transforrr
            •       IS 7538 - 1996 : Specifications of three -phase induction                        windings.
                     motor centrifugal pumps and agricultur~I applications.                  • IS 3454 - 1966 : Standard dimensions of paper cove1
            •        IS 12615 - 1986 : Specifications for energy efficient                           round conductors used for transformer windings.
                     induction motor.                                                         • IS 450 - 1964 : Standard dimensions of cotton cove
            •        IS 9320 - 1979 Guide for testing de machines.                                    round conductors for transformer windings.
       PRIN. OF ELEC. MACHINE DESIGN (BATU ELECT.)                    (1.6)
                                                                                        PRINOPLES AND DESIGN OF ELECTRICAL MAC~
                                                                                                                                                  p
   !1.10 GENERAL DESIGN PROCEDURE                                            Total flux linkages
                                                                                                                                                  T
                                                                                             q, =
       •         In general any electrical machine has two windings.                                                                              2
                                                                                                      n
                 The transformer has primary and secondary winding.                                                                   ... (1.1)   T
                 The de machine and synchronous machine has                                          k=l
                                                                                                                                                  ir
                 armature and field winding. The induction machine has                                                                            C
                                                                                  Nk = The number of turns which link with flux <l>k
                 stator and rotor winding.
       •         The basic principle of operation of all electrical          In this case there .1s a change m · the value of the flux
                                                                                                                              . .
                                                                             linkages of the coil,an induced emf is produced is given by,
                 machine is governed by Faraday's law of induction.
                 Also in every electrical machine the energy is                                  -    d'I' V It                       ... (1.2)
                                                                                              e - - dt     o
                 transferred through the magnetic field. Hence a
                 general design procedure can be developed for the                 (-) sign indicates that the direction of the ind uced emf
                 design of elelctrical machines.                                                                                                  1
                                                                             The Change in Flux Linkages can be Caused in Three
       •         The general design procedure is to relate the main                                                                               C
                                                                             Ways:
                 dimentions of the machine to its rated power output.                                                                             a
                                                                              1.   The coil is stationary with respect to flux and the flux
                 An electrical machine is designed to deliver a certain
                                                                                   varies in magnitude with respect to time.
                 amount of power called rated power. The rated power
                 output of a machine is defined as the maximum power          2.   The flux is constant with respect to time and is
                 that can be delivered by machine safely. In de machine            stationary and the coil moves through it.
                 the power rating is expressed in kW and in ac machine        3.   Both the changes mentioned above occur together
                 in kVA. In case of motor the output power is expressed            (ie)the coil moves through a time varying field.
                 in HP.
                                                                              Method 1 : Where the coil is stationary and the flux is time
   •          In electrical machines the cor~ and winding of the              varying, an emf called transformer or pulsational emf is
              machine are together called active part. (Because the
                                                                              produced. No motion is involved. There is no energy
              energy conversion takes place only in all active part of
                                                                              conversion. The process that really takes place is energy
              the machine).
                                                                              transference. This principles used in transformers.
   •         A general output equation can be developed for de
                                                                              Method 2 : The flux cutting rule can be employed to
             machine which relates the power output to volume of
                                                                              illustrate the emf generated in a conductor moving in a
             active part (D2L), speed, magnetic and electric loading.
                                                                              constant stationary field. The emf generated in a conductor
   •         Similarly a general output equation can be developed             of length moving at right angles to a uniform, stationary,
             for ac machine which relates kVA rating to volume of             time invarying magnetic field.
             active part (D2L), speed, magnetic and e·lectric loading.
                                                                                               e = Blv Volt
  11.11 BASIC PRINCIPLES                                                 I                     B - flux density ,wb/m2 (T)
  The action of electromagnetic machines can be related to
                                                                                                I = length of conductor ,(m)
  three basic principles which are,
                                                                                               v - linear velocity of conductors (m/s)
            1. Induction
                                                                              The generated emf in this case is called a "motioned emf'.
            2.     Interaction
                                                                              Emf generated due to motion of conductor ,since motion is
       · 3.        Alignment
                                                                              involved in' the production of this emf,the process involves
 1. Faraday's Law of Electromagnetic Induction                                electromechanical energy conversion.
           This law states that emf induced in a closed electric
                                                                              This principle is utilize in rotating machines like DC.
           circuit is equal to the rate of change of flux linkages.
                                                                              induction machines, synchronous machines.
           Flux linkages 'I' = N 4>
                                                                              Method 3 : A conductor or coil is moving across a
           N _ the number of turns in a coil
                                                                               stationary time varying magnetic field (flux)and therefore
       ~ _ flux linking with all of them
                                                                               both transformer as well as motional emf are produced in
In most cases, the flux ~ does not link with all the turns or                  the conductor or coil. This process involves bot~
alternatively all the turns do not link with the same flux.                    transformer and energy conversion.
    pRJN. OF ELEC. MACHINE DESIGN (BATU ELECT.)                           (1.7)         PRINCIPLES AND DESIGN OF ELECTRICAL MACHINE
    This principle is utilized in the commutator machines.                        produced remains unaltered. Fig. 1.2 (c) shows the
    2. Interaction Principle (Biot-Savart's Law)                                  effect of reversing the current when the direction of
    This law gives the value of force produced on account of                      the field is unchanged. It is clear that under these
    interaction between a magnetic field and a current carrying                   conditions the direction of force produced is reversed.
    conductor                        .                                        • Biot Savart's law can be applied to determine force
                   F = B l I sina Newton                      ... (1.3)           between two current carrying conductors. Fig. 1.3
       where,                                                                     shows two parallel current carrying conductors of l
                  B - Flux density, wb/m 2 (T)                                    separated by a distance D and situated in a medium of
                   l - length of conductor                                        permeability µ. The two currents are 11 and 12. In Fig. 1.3
                      - current carried by conductor, A                          (a) the two currents flow in the same direction while in
                  a - Angle between the direction of current                     Fig. 1.3 (b) they flow in the opposite direction. The
                        and the direction of magnetic field                      resultant magnetic fields are also shown. It is clear that
    The direction of force produced is perpendicular to both                     when conductors carry currents in the same direction,
    current and magnetic field. Conductor and magnetic field                     there is a force of attraction between them, while there
                                                 =
    are perpendicular to each other, thus a 90°,sin 90° 1     =                  is a force of repulsion between them if they carry
                   F = B l I Newton                                              currents in the opposite directions.
            I I I         I    I     I     / I I                                 The value of the flux density, at the position of
            I I                I     I    I I I I I                              conductor carrying current I2.
            I             I    I     I    I J I I I                              Due to current I is :
                                                                                                  ,l
                                                                                               ---+i
•
      Fig. 1.2 : Force on a current carrying conductor situated
         perpendicular to a magnetic field (Interaction law)
       In Fig. 1.2 (a), B represents the flux density of an
       undisturbed (original) magnetic field. The introduction
                                                                                                    J
       of a current carrying conductor introduces new
       magnetic field. The original field and the field due to
       conductor combine to produce a resultant field as
       shown in Fig. 1.2 (b). The resultant field is distorted in
      the neighbourhood of the conductor, the resultant flux                          (a) Attraction                  (b) Repulsion
      density being greater on one side and l~sser on the                         Fig. 1.3 : Forces between current carrying conductor
      other and this results in production of an                             3. Alignment
      electromagnetic force in the direction . in~icated. In
                                                                             If a magnetic field exists in a low permeability medium like
      case the increase in flux density on one side is equal t_o
                                                                             air and if piece of high permeability material is placed in
      the reduction on the other side, the electromagnetic
                                                                             this field, the latter experiences a force which tries to align
      force is given by Eq. 1.3.
                                                                             it with the direction of field in such away that it occupies a
•     When either the direction of the current or the
                                                                             position of minimum reluctance. The principle of
      direction of the magnetic field is reversed. However, if
                                                                             production of force due to alignment is used in reluctance
      the directions of both the current as well as the
                                                                             motors.
      magnetic .field are reversed, the direction of the force
PRIN. OF ELEC. MACHINE DESIGN (BATU ELECT.)                 (1.8)             PRINOPLES AND DESIGN OF ELECTRICAL M ~
1.12 MAIN DIMENSIONS OF ROTATING                                   General Symbols Used for Designing of Inductj°'1
    MACHINE                                                        Motor
                                                                              D = Inner diamete r of stator or stator
•   In rotating machines the active part is cylindrical in
                                                                                          bore, m
    shape. The volume of the cylinder is given by the
                                                                                    L = Stator core length, m
    product of area of cross section and length. If D is the
                                                                                   n = Speed, rps;
    diamete r and L is the length of cylinder, then the
                                                                                  ns = synchronous speed, rps;
    volume is given by nD 2l/4. Therefore D and L are
    specified as main dimensions.                                                  p = No. of poles;
                                                                                   z   = Total    no.   of   armatur e   or   stator
                                                                                         conductors
                                                                                   T   = Pole pitch, m;
                                                                                 Tph = Turns per phase
                                                                                   lz = Current in each conduct or, Amp
                                                                                 Kw = Winding factor;
                                                                                 Ip11 = Current per phase, Amp;
                                                                                 Eph = Induced EMF per phase, Volt;
                                               -·wb/mL-.
                                                • .,    ❖:
                                                                  "
                                                                   ,,       lmf);Cond./m           We have,
    DC machine                                 0.4 to 0.8                   15000 to 50000                         Eph = 4.44f(j)TphKw,
                                                                                                                                                     3
                                                                                                                    Q = m x 4.44f(j)TphKw x Iph x 10·
    Induction motor                            0.3 to 0.6                   5000 to 45000
                                                                                                       But,         f = p.nJ2
    Synchronous machine                    0.52 to 0.65                     20000 to 40000
    Turbo-alternator                       0.52 to 0.65                     50000 to 75000                         Q = m x 4.44    (E:.!11
                                                                                                                                     2
                                                                                                                                         ) (j)TphKJph x 10-
                                                                                                                                                           3
!1.15 OUTPUT EQUATION ... ·- -                                                           ..I                           = 1.11 kw (p(j) 2m Iph Tph) ns X 10-
                                                                                                                                                           3
    nExpressed in terms of its main dimensions, specific                                               Current in each conductor Iz = Iph (as only one
    loadings and speed.''                                                                              circuit/phase)
                                                                                                       Total no. of armature conductors
    • Direct Current Machines
                                                                                                                   Z = no. of phases x (2 x turns per phase)
    Power level developed by armature in kW
                                                                                                                    = 2mTph
                  Pa = generated EMF x armature current
                            3                                                                             Total electric loading= IzZ = 2miphTph
                       X 10-                                                                                                                 3
                                                                                                       Hence,    Q = 1.11 Kw(p(j))(lzZ}nsxl0-
                           = E.la X 10-3
                                                                                                                    = 1.llKw(total magnetic loading) (total
                       E =    <!> · Z-nEa                                                                              electric loading) (synchronous speed)
       But,
                                                                                                                         x10·3
                                      E         -3                                                     But,       p(j) = 1tOL-Bav and IzZ = 1tO-ac
                      Pa = (j) · Z · n a Ia X 10                                                                                                          3
                                                                                                                   Q = 1.11 Kw (1tOL·Bavl (1tO-ac)ns X 10-
                           = (p . (j)) (: ·            z) n   x 10-
                                                                        3
                                                                              (since Iz = :)
                                                                                                                                               2
                                                                                                                                                3 2
                                                                                                                       = (l.ll1t2 BavacKw x 10- )0 Lns
                                                                                                                       = (11 BavacKw X 10-3)0 Lns
                           = (P . (j)) (lz . Z) n x 10-3                                                                      2
                                                                                                                      = C0 0 Lns
                                                                                                                                        3
       Hence,    Pa = (total magnetic loading) (total electric                                         where,     C0 = liBavacKw x 10-
                                                     3
                       loading) (speed in rps) x 10-                                                                · =~           fficient
                                          p. g,                                                   The capacity of motor is usually given either in horse
       Specific magnetic loading Bav = 1t . o . L or
                                                                                                  power (h.p) or in Kw.But this has to be changed in kVA
                 p . <I> = 1t . D . L . Bav                                                                             kW
                                                                                                     Input kVa, Q = . cos(j)
       By substituting these values we get,                                                                              11
                                                        I ·Z                                           The rating of induction motor is given in Horse Power
       Specific electric loading ac = ~ or Iz · Z = 1t · O · ac                                                         HP x 0.746
                                                                                     3                            Q = ,, . cos <I>
                      Pa = (1t . D . L . Bav) (1t · D · ac) n x 10-
                                       2                                                               Full load p.f. usually lies 0.82 to 0.92
                           = C0 D Ln
                                                              3
                                                                                                       High p.f. is generally obtained with high speed motor.
                               2
       where,      Co = 1t         .   Bav . ac X 10-                                                  The full load efficiency is usually varies between 0.82 to
                   c   0
                           = Output co-efficient                                                       0.93
          PRIN. OF ELEC. MACHINE DESIGN (BATU                          (1.10)         pRJNOPLES AND DESIGN OF ELECTRICAL MAt1-tt,.
                                              ELECT.)                                                                    ~
         • Factors Affecting Size of a Rotating Mac
                                                      hine:                     value of flux d en sity in the teet.h is not exceeded . ll.
                                                                                    .                                           .       ·•~
         Speed:                                                                 maximum va1ue o f flux density in the teeth 1s betwe
                                                                                                  2                                         eri
         According to the outp ut equation of a rotat                          1.7 to 2.2 Wb/ m ·
                                                     ing machine
         with a given value of kVA rating
                                                                            2. Magnetizing Current                  f           h"   . d
                           Q = CoD2Lns                                          The magnetiz    . .       current O a mac me 1s irert,.
                                                                            •                     ing                    . .                · ·1
                               ⇒ Represent the volume of machine                            na 1 to m mf· The mm f 1s directly proportional
                   2                                                                      •
                  D L = _Q_C                                                    proport1o
                         ons
                                                                                to spec,"fi1c magnetic loading. Hence        . a large value 01
                 Speed,          1
                          ns ex D2L                                             spec1.f1c
                                                                                       .
                                                                                           magne 1ct·   load ing resu lts in increased values 01
                                                                                          .
                                                                                magnet 1zin . g mm    f and  magnetizing current.
         It is clear from outp ut equation that the                         •  The vaIue of magn etizing current is not usually a
                                                     volume of active             . us d es1g
                                                                                           . n consideration in de machines. But in
         parts is inversely proportional to the spee                           serio
                                                       d. Increase in
         speed means less volume (smaller size) that                           induction motors an increased value of
                                                      is low cost.                                                        magnetizing
         Out put Co-Efficient:                                                 current results in low pow er factor. Henc
                                                                                                                            e specific
         According to the output equation of a                                 magnetic loading in induction moto rs is
                                                    rotating machine                                                     lower than in
         with a given value of speed                                           de machines. For synchronous mac
                                                                                                                           hiens the
                          Q = C0 D2 Lns                                        magnetizing current is not so critical and
                                                                                                                          the value of
                Output Co-efficient,                                           specific magnetic loading is intermediate
                                                                                                                         between that
                                 1                                             of de and induction machines.
                          Co ex D2L
                                                                            3. Core Loss
         It is clear from outp ut equation that the volu
                                                        me of active        •   The core loss in any part of the magnetic
         parts is inversely proportional to the                                                                                  circuit is
                                                    value of output             directly proportional to flux density for
         coefficient C0 • speed. So Increase in value                                                                         which it is
                                                      of Co results in
         reduction in size and cost of the machine                              going to be designed. The flux dens
                                                   ..                                                                      ity is directly
                          C0 = Output co-efficient                              proportional to the specific magnetic load
                                                                                                                              ing. Hence
     11.16 CHOICE OF SPECIFIC LOADINGS ,, .                                     the core loss in a machine varies directly
                                            ~/ ·                                                                           as the specific
                                                                                magnetic loading. Thus a large valu
      1.16 .1 Choice of Specific Magnetic Loadings                                                                         e of specific
                                                                                magnetic loading results in increased core
      The choice if specific magnetic loading                                                                                    loss and
                                                    is influence by             consequently a decreased efficiency and
      certain factors. Some are general in nature                                                                            an increased
                                                    and apply to all            temperature rise.
     types of machines and some are spec
                                                ific and apply to
     individual machines.                                                   •   With a given specific magnetic loading,
                                                                                                                            the core los5
     Some general factors are:                                                  increases as the frequency of flux reversals
                                                                                                                             is increased
            1.    Maximum flux density in iron parts of mac                     This is because the hystersis loss
                                                           hine                                                                is direct!~
           2.                                                                   proportional to the frequency and eddy
                  Magnetizing current                                                                                      curr ent loss i~
                                                                                proportional to the square of the frequency
           3.     Core losses                                                                                                    . lt follo w
                                                                                that for high speed de machines, or high
    1.     Max imu m Flux Den sity in Iron                                                                                   frequency a
                                                                                machines, specific magnetic load ings mus
                                                                                                                              t be reduce
•         The max imum flux density in any iron part
                                                        of machine              in order to achieve lower iron loss.
          mus t be belo w a certain limit ing value.
                                                     The maximum
         flux dens ity occurs in the teeth of the                           1.16.2 Choice of Specific Electric Loading
                                                      armature (or
         stat or core). [Teeth are the port ion                             1. Copper Loss and Tem p Rise: larg e valu
                                                   of the core in                                                      e of ac, nee<
         betw een slots].                                                       greater amo unt of copper, results in
                                                                                                                      high er copp
•         The flux dens ity in the teet h is dire ctly
                                                       prop ortio nal to        losses and large temp erat ure rise
         spec ific mag neti c load ing. Hence the choi                      2. Voltage: for high volta ge machines, less
                                                         ce of specific
                                                                                                                         value of
         load ing shou ld be such that the maximum
                                                          value of flux         should be chosen, because it needs larg
         den sity in the teet h is not exceeded                                                                         e space 1
                                                     . The max imum             insulation.
Pt\lN, OP Ii.IC, M~CHINI DISIGN (BATU ILICT.)            _       _ (1.11:L
                                                                         ) _ __!P~Rl~N~C!!:
                                                                                        IP!:!
                                                                                            LE~S~A~N~D~D~ES~IG~N!.:O
                                                                                                                   ~F
                                                                                                                    :..!E
                                                                                                                        ::L::
                                                                                                                           ECT
                                                                                                                             ~ Rl:C=A
                                                                                                                                    :. :.;L
                                                                                                                                          :...M
                                                                                                                                              _A
                                                                                                                                               _C_H_IN_E
    Let         w~ • Width of tho slot                                              M'aximum allowable specific electric loading,
                d,       iii   Oopth of the slot                                                   .JL                                        " ' (1.6)
                                                                                            ac   = P6 c
                 S, • Slot space factor
                                                                               It can be inferred that the heat dissipated per unit area
                 Y, • Slot pitch
                                                                               of armature is proportional to specific electric loading.
                  \) • Current density
                                                                               From equation (1.6) it is clear that allowable specific
    Tht spaclfi<' @lectrlc loading can be related to the                       electric loading is fixed by allowable temperature rise
    8bove tern,s by the equation,
                                                                               and the cooling coefficient. A high value of ac can be
                ac • d, (wJy,) os,                           " ' (1.4)         used in a machine when a high temperature rise is
     From tq llMi011 (l.4) it is cleor that the specific loading               allowed. The maximum allowable temperature rise if a
     Is directly proportional to slot space factor s,. In high                 machine is determined by the type of insulating
     volt1g1 rnftchines, greater insulation thickness is                       materials used in it. When better quality insulating
     required and therefore the space factor for these                         materials which can withstand high temperature rises
     machines Is lower. Hence an increase In voltage will, in                  are used in the machines, increased values of specific
     general. necessitate a reduction in specific electric                     electric loading can be used. This results in reduction in
     loading oc.
                                                                               the size of the machine.
3. Ov•rload Capacity: larger value of ac , results i~ large
                                                                               A high value of electric loading may be used if the
     number of turns per phase. Which in turn increase the
                                                                               cooling coefficient of the machine is small. The value of
     leakage reactance of the machine, reduces the
     overlot1d capacity of the machine.                                        cooling coefficient depends upon the ventilation
                                                                               conditions in the machine. High speed machines will
4. P•nnlsslble Temperature Rise
                                                                               have better ventilation and so higher value of ac can
     Let.            8    = Temperature rise
                                                                               be used.
                  S = Dissipating surface
                                                                          5. Size of Machine
                 Q = Loss dissipated
                  c = Cooling Coefficient                                      From the equation (1.6) it is clear that ac depends on
                                                                               the dimension of the slot. For large machines the
                 ~        = Current density
                                                                               depth of the slot will be greater and so higher values
                 p = Resistivity
                                                                               of ac can be used. Actually if the current density and
Loss di~sipated per}    (current)' x No. of conductors x Resistance
    u111t 11rea of
                                                                               the slot space factor are assumed constant, then
                     q•           Surface area of armature
 ormature surface                                                              specific electric loading is proportional to the diameter
                                2
                               11   X   Z X p L /81                            as slot depth usually depends upon the diameter.
                         =               itDL
                                                                          6. Current Density
                               IZ I
                         = ~ x .!L. x p = ac 6p              " ' (1.5)
                                                                               From the equation, q = ac 6 p it is clear that a higher
                               itD       az
                                                                               value of specific electric loading can be used in a
    where,       6 = IJa1
                                                                                machine which employs lower current density in its
    Also,       q        = Q,/S
                                                                                conductors. (because ac = q/6 p).
   The temperature rise, 8 = ~ = qc
                             5                                                  Typical values of current density are in the range of 2
                q = 8/c                                                         to 5 A/mm 2. The temperature rise is usually 40°(
                                                                                (above ambient) for normal applications and cooling
            ac 6 p       = !!C
                                                                                coefficient is between 0.02 and 0.035°( W-m2.
                         _~_!._.DESIGN
                                l~_~_!!_l!._~_(BATU
                                              ~_~_!Y._!1.y
                                                         _~_!_l.____.::.::_-.::.::~~  2
PRIN.
 - -OP- ILIC.
        ---   ~ACHINI
               ~- ~- ~_ ...                            ELECT.)                    (l.l ~-
                                                                                       )  -~P~RI~N~C~IP~L~f)~A~N_::LI_:..,:...:'"="-
                                                                                                                                  -· --·-·----- - - - -
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        -      -          SOLVED EXAMPLES                                    ]   Hence, flux per pole, E       v       soo
Example l.l : A 350 kW, 500 v, 450 rpm, 6-pole, de
                                                                                                   ~   =Zn == Zn =660 X 450/60
generator ls built with an armature diameter of 0.87 m and                                             = 0.101 Wb
core length of 0.32 m. The lap wound armature has 660
                                                                                     Specific magnetic loading,
conductors. Calculate the specific electric and magnetic                                                  _£!_ _       6 X 0.101
loadings.                                                                                        Bav = 1tDL -      7t X   0.87 X 0.32
    Solution : Givan :                                                                                                      2
                                                                                                       - 0.6929 Wb/m
                   p = 350 kW
                                                                                 jl.17 ELECTRICAL ENGINEERING MATE~[
                      n    = 450/60 rps
                                                                                                                      machines are classified intc
                                                                                 Materials used in Electrical
                     D = 0.87 m
                                                                                 three types:
                      Z = 660
                                                                                     1.   Conducting;
                      V = 500 V
                                                                                     2.   Magnetic
                      p = 6
                                                                                     3. Insulating
                       L = 0.32 m
                                                                                 Design of electrical machines depends mainly on quality oi
                          Lap wound                                              materials used. If low quality materials are used, t~
         Specific electric loading,                                              machine will be less efficient, more bulky, higher weight
                                     12                                          and higher cost. Operational running cost will also                  be
                      ac = ~                                                     higher. A designer should have perfect knowledge o/
            Specific magnetic loading,                                           properties and cost of these materials so that the design
                                                                                 can be both efficient and cost-effective.
                      BI V -- ..et.
                              1tDL                                               1.17.1 Conducting Materials·
            The power output of the generator,                                   Conducting Materials are of Following Categories
                          P = VI x 10· 3 in kW                                       1.   High conductivity materials
springs, brush holders, sliding contacts and knife switch                                 m Group      : Materials used for making heating devices in
                                                                                          electric furnaces and loading rheostats
blades. Cadmium copper- contact wires and commutator
                                                                                          Special Requirements
segments. Brass (66% Cu and 34% Zinc) has greater
                                                                                               •  High permissible working temperature, low cost
mechanical                strength        ,wear     resistance       and      lower               and should have non-corrosive
conductivity - widely used in current carrying materials . *                              Material : Nichrome (Nickel, chromium and iron)
Copper silver alloy (99.10% and 0.06% to 0.1 %) has                                       (optimum working temperature-900°-to 1000°)
    . t ance
res1s               to     thermal        shortening       and    creep     (turbo-       3. Electrical Carbon Materials : Electrical carbon
                                                                                              materials are made from graphite and other forms of
alternators)
                                                                                              carbon coal.
Best conducing material is silver. Next _best is copp~r and                               Properties
then aluminum. Properties of these are compared in the                                    •    Negative temp. Co-efficient (contact voltage drop
following table.                                                                               decreases with increasing temp)
                                                                                          •   Low wear and tear (due to self lubricant property)
                                             .
                                      Table 12
  .,.          .,
                                                                                          Matena • I : Carb o n, carbon graphite graphite electro
                                                                                                                                    I         I
                                     Unft         Sliver       Copper      ~lumlnlun      graphite, metal graphite- used for making brushes for
Sr. -No: · · Property ·
                                                                                          electrical machines.
                                                                 0.975       0.585
  1       Conductivity                -            1.0
                                                                                          4. Super Conducting Materials : Materials exhibiting
                                                  1.46           1.777       2.826             zero value of resistivity are known as Super conductors.
  2        Resistivity           µ.Q-cm
                                                                                               A large number of metals become super-conducting
                                                  0.337          0.393        0.4
  3       Temp-coeff.           % per°C                                                        below a particular temperature characteristic of the
                                                               Medium         Low              particular metal. This temperature is known as the
  4                 Cost             -       Prohibitively
                                                                                               transition temperature.
                                                  high
    ~~~~~~~
    PRIN. OF ELEC. MACHINE DESIGN (BATU ELECT.)
                                ~~~~- -~~-_____:~-==-
                                                (1.14) PRINOPLES AND DESIGN OF ELECTRICAL MACHINE
                                                            ==-=-=~~--------.:...::::..:_
     For Example: Alluminium - Trans.temp.- 1.18 K Uranium -                  whose hysteresis loops are more or less narrow (see
     0.80 K It is interesting to note that copper, silver, gold etc.,         Figs. 1.6 (a) and (b)]. (Silicon steel, nickel- iron alloys
    .are very good conductors at room temp., but do not                      etc.)
     exhibit superconducting properties. ( vice versa for other              These materials are called soft magnetic materials. Soft
     metals and alloys) Application of superconductor It can be              magnetic materials are used in the manufacture of
     used for the transformers and rotating electrical machines,             electrical machines, transformers and many kinds of
     depending upon the comparative gain in the reduction of                 electrical apparatus, instruments and devices.
     full load copper losses against the cost for provision of          •    Classifications:
     cryogenic conditions
                                                                             ► Solid core materials
     1.17.2 Magnetic Materials
                                                                             ► Laminated core material for pulsating fluxes
     •  All magnetic materials possess magnetic properties to
                                                                             ► Electrical sheet and strip
        a greater or a lesser degree. The magnetic properties
        of materials are characterized by their relative                     ►     Special purpose alloys
        permeability. In accordance with the value of relative          •     Solid Core Materials : For steady fluxes. These
        permeability, materials may be divided into three                     materials are normally used for parts of magnetic
        broad classes.                                                        circuits carrying steady flux as cores of d.c .
        1. Ferromagnetic           Materials         The relative             Electromagnets, relays and field frame (i.e., yoke) of
             permeabilities of these materials are much greater               d.c. machines. Examples: cast iron, cast steel and Ferro-
             than unity and these permeability values are                    cobalt
             dependent upon the magnetizing force                       •    Laminated Core Material for Pulsating Fluxes :
             Relative permeability -µr > > 1 (Nickel, cobalt, iron,          These materials are normally used for parts of
             steel, silicon steel etc.,)                                     magnetic circuits carrying pulsating flux as cores of d.c.
        2. Paramagnetic Materials : These materials have                     armature, stator and rotor of ac machines
             their relative permeabilities only slightly greater        •    Electrical Steel Sheets Dynamo Grade Steels : Low
             than unity. The value of susceptibility, is thus                silicon content are used in rotating electrical machines
             positive for these materials.
             Relative permeability -µr > 1 (Air, Alluminium,
                                                                        •    Transformer Grade Steels : High silicon content are
                                                                             used in transformers. Cold rolled grain oriented steel
             palladium etc.,)
                                                                             (CRGO) - is suitable for use in large transformers and
       3. Diamagnetic Materials : These materials have
                                                                             turbo alternators
            their relative permeabilities slightly less than unity.
            In both Paramagnetic and Diamagnetic materials              •    Special Purpose Alloys : Are used in instrument
            the value of permeability is independent of the                  transformers, induction coils and choke. Example :
            magnetizing force.                                               permalloys, superpermalloy, perminvar etc.,
            Relative permeability - µr < 1 (Bismuth, silver, lead,      2.   Hard Magnetic Materials :
            copper, water etc.,)                                        •    Materials with broad hysteresis loops [Fig 1.6 (c)] are
  Ferromagnetic materials are very useful for electrical                     called hard magnetic materials. These materials are
  engineering applications. Why?                                             used in certain types of electrical machines. rating, and
  When a ferromagnetic material is placed in a magnetic                      in all kinds of instruments and devices requiring
 field, there is considerable distortion and, therefore, the                 permanent magnets which set up magnetic fields of
 force exerted is very large. This property makes ferro-                     their own.
 magnetic materials very useful for electrical engineering                                   B
                                                                                                                       B
applications.
Example: Iron, nickel, cobalt, and many of their alloys are
ferromagnetic.
Types of Magnetic Materials
     l. Soft Magnetic Material
                                                                                                    H
         2.   Hard Magnetic Materials
l. Soft Magnetic Material
•    The hysteresis loss depends upon . the area of
     hysteresis loop. For this reason, magnette cores use~ in
     alternating magnetic fields are made from materials                               (a)
                                                                                                                    (b)
                                                                                                                                       JI
PRIN. OF ELEC. MACHINE DESIGN (BATU ELECT.)                                              PRINOPLES AND DESIGN OF ELECTRICAL MACHINE
                                                                (1.15)
        ►    High saturation induction (to minimize weight and          • The term insulting material is sometimes used in a
             volume of iron parts)                                         broader sense to designate also insulating liquids, gas
                                                                            and vacuum.
        ►    High electrical resistivity so that the eddy emf and
                                                                          Solid: Used with field, armature, transformer windings etc.
             the hence eddy current loss is less
                                                                          The examples are:
        ►    Narrow hysteresis loop or low coercivity so that
                                                                          •           Fibrous or inorganic animal or plant origin, natural or
             hysteresis loss is less and efficiency of operation is
                                                                                      synthetic paper, wood, card board, cotton, jute, silk
            high                                                                      etc., rayon, nylon, terelane, asbestos, fiber glass etc.,
        ► A     high curie point. (Above Curie point or                   •           Plastic or resins. Natural resins-lac, amber, shellac etc.,
            tempera ture the material loses the magnetic                              Synthetic resins-phenol formaldehyde, melamine,
            property or becomes paramagnetic, that is                                 polyesters, epoxy, silicon resins, bakelite, Teflon, PVC
            effectively non-mag netic)                                                etc
        ► Should have a high value of energy product                      •           Rubber : natural rubber, synthetic rubber-butadiene,
          (expressed in joules/ m3).                                                  silicone rubber, hypalon, etc.,
                                                                          •           Mineral : mica, marble, slate, talc chloride etc.,
lt.18 INSULATING MATERIALS
                                                                          •           Ceramic : porcelain, steatite, alumina etc.,
To avoid any electrical activity between parts at differe_ nt                 •       Glass : soda lime glass, silica glass, lead glass,
potentials, insulatio n is used. An ideal insulating material
                                                                                      borosilicate glass
should possess the followin g properties.
                                                                              •        Non-resinous : mineral waxes, asphalt, bitumen,
•       Should have high dielectri c strength.                                         chlorinated naphthalene, enamel etc.,
•       Should with stand high temperature.                                   Uquid:   Used in transformers, circuit breakers, reactors,
•       Should have good thermal conduct ivity                                rheostats, cables, capacitors etc., & for impregnation. The
•       Should not undergo thermal oxidatio n                                 examples are:
•       Should not deterior ate due to higher tempera ture and                •        Mineral oil (petrole um by product)