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where X t ~ j · · · r ) is the frequen frequency cy response of oflh lhee sequ sequence ence x(nT), T is the sampling perio period d and X { j 0.) is the Fourier transform of t h c - ~ continuous·time waveform. l f the analog frequency response is band limited to the rangt• : 0 i < :r'T wha will the rww rt>lation be :1 2x(}=l2 (b)
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Illustrate and compare speed·current and
motor with thai of series and shunt motor.
Hz, I G poic gencrnror with t n ~ C t e d windings has 144 slots with 10 conduc ···star slot. Thf' flux/pole of 24.8 mWb is sinusoi<htl . ·it 15 uwd. T l H ~ coil is full pitched. Find the li1 (ii}
A 3-phase. 5
{d) The
of a 20 H I ~ ' GO V l f S J O1 s .aratcly excited d c motor is controlled by ; r . 1ase full· wave bridge circuit as shown in i .: s p
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at rhat Statee th e p a r a m e t e r s rh here ? Stat (c ) W h a t is t r o p o s p here forr laee fo <:al :al fo foll m u la piri< empiri te em rite c h a ra c t e r i s e t ro p o s p h e r e . W ri st I - 2 first thee fir withhi n th rss wit arn n ete r S e p a r ar tlw v ar ia ti on o f tlw r๎ per๎ forr t h e pe fo s i o n s of t h e tr o p o s p h e r e . W rite ~ X km of km P. r ic phP. he tr o p o sph nd( X ( n) o f t he ctiv ivee ind( efra ract :,) a n d r ef y (t (t:,) tiv it ity m it ittiv km ' titt u d e o f I km alti at is th e v a lu e o f n at a n al m e d i u m . W h at 20
S EC T IO N B
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it it
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2
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an A rm s t r o n g m o <lu la to r, th e c ry s tal o sc ill a to r .2.. is 200 kH z. T h e a n g u la r d e v i a iio n i:; s e t to 0.2 is on frequ encir.s tio i<JJ.ti tf.. m odui< to a c c o m m o d a tf t e m is to
thee H z a n d 15 l d i z . T h e c a r r i e r f r e q u e n c y a t th free q u en c y d evi a108 M H z a nd t h e m ax im u m fr tput ut is 108 :>uutp .:> rarn n o f t h e m o d u la to r ag··rar li<) n is 8 0 k H z . D r n w th e bl oc k diag er ierr a n d m ix er ipll ie ltip selle c t m u lt ilss cmd se thee d e t a il sho sh o w in g th etw w ee n b et
20 liss h th i s e n d . cco o m p li o s d l l a t o r h ' O q m ~ n c i e s to acc 5000 m a n d 1h a t di s t a n c e s o f 50 ld s t ren g 1h field d t ] 1 fie ind ( c ) F in lf ipolf 0.1 A D ipo 0.1 ith 1, , fed d with tree fe o le c e n tr ipo froom a dip 00 m fr 2,500 2,5
f r e q u e n c y o f o p e r a t i o n is he h s a le n g t h o f 2 00 e m a n d t he
iree c t ir, n. 20 in th e m a x i m u m d ir er E o nl y in ider 3 ( if ·lz . C o n s id 1 thee ed b y th cribed ( a ) T h e d i SC t't'<< t e ti m e s y s te m i s d e s crib B. B. effiici e n t d i f fe re n c e e q u a tion coeff staa nt co co n st itii o n y - 1 ) itiall c o n d it initia ith in x ( 1 i ) + n y n - _1) w ith y ( n) u(n n ) is a p p li e d to th e s y s t thee inp u t x ( n ) ' e i . . u( K. If th on s e spon o u t p u t c e sp illl \ \h a t w il ·
n o n l y J tion t ra n s fo rm o p e r a tio
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ns f o r m a x i m u tio o ns ( i) D e r iv e c o n d i ti
o in c a s e o f a n i n d u c t to b e o b t a i , , e d in o e . 5 0 H z, 7 A k W m o -po (ii) A 4 -p h a s a s t a r t i n g to q u e n c y and off · 00 xim m um i o r q u e o f 200 maxi cl ( i i ) s ancl ll l oa d (a) fu ll
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re s. pere 50 am pe nt is 50 rree nt · e te d c u rr
at f r e q u e n c y c o n t r o l at is m n t M a c h in e is th h e ba s e ::; p e e d a n d a t c o n s ta n t con s ta n t ( Y f ) ~ l t o t eld abo o ve b a s . . , c . D ete rm i n e th e to r q u e a n d field V ab .S nd O.S m a nd rpm 50 rp entt. 7 50 c u rr e n t f th e r ed a 1m a t u r e c u r r en lf a lf a d in
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C .S. E. E l e c t r i c a l E n g g . M A IN ) 2004 P
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2004
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r-e h ar-e ich n s I a n d 5 w h ic ion C a n d id a te s s h o u l d a t t e m p t Q u es t io ionss estion quest ng qu iniing of th e rem ain ry a n d any t h r e e of lso o ry puls com pu TI. se l e c t i n g t le a st o n e q u e st i o n f ro m N K h Se c t i l TI.
A ssum e s
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ts.. lteem e nts st< <lt f o l l o w in g st <:tt <uw T II R E E o f ele e<: I . S el rree c t ~ m d t h e ~ ~ · w co rr tiw tiffy ti y a n d id e n ti u ll lly efu r e a d th e m c a ref sin n g not m o re t n fy y o u r a n s w e r usi stiify Just s. Ju rree c t o M s. c o rr 20 0 w o r d s in e a c h c a s e : us ocus r o o t loc anyy p o i n t o n a} A t an ~ ~ f o r ue o f <-v ari ab le d, th e v a lue ied, tisffie o n sa tis tio c o n d iti ot)) is o b t a in e d a s root to b e a ro t h is po i n t to p r o d u c t o f l e n g t h s o f ve · K
p r o d u c t of l e n g t hs o f
to m to b ) B r i d g e s a w u n t v a l u e s o f ren ffee re g d iff ing h a v in
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o w n . A n y a d v a n ta g e o f c u rr e n t an than ntaa g e s th vant ha s m o r e ad va n. t o nn a lo g t r a n s m i s s io n. 20 > 3 =GO
sa·· by l e a d c o m p e nsa h at d o yo u u n d e r s t a n d by ad lead le · D ra w t h e a pp ro xi m a ie B o d e p l o t f o r a a s u i t a b l e c o n tr o l s ys te m f o r a m isn . s a t o
2.88 of 6. 5 db at 2. :35cc l t M I d Qf :35 ead l ea ad lead traa n s fe r f u nc t io n o f t h i s le ill h e t ·IH tr /s.. W h at w ill ra d /s
SJ e t o in t ro d u c e a SJ
compens:.uo compens :.uorr that th at will satisfy tlw a b o v • ~ requirement '1 20 (b) 1\ ;> MYA. kV ,,.,,·erwratcH- with x·· , 20 \, is · u conrwded through a transformer. line and a transformer to :1 hus 1h:n s u p p l i f ~ s three i d t ~ n t i c a l motors as shown in fig. hdow. Each motor has x · · ~ ~ 2:) \, and x·ci 30 h, on a l ~ ~ t . , r : o f ~ MVA. G.G kV. The three-phase rating o ihe s t ~ · p up 1ransforrm-r is .5 \1VA. ll'GG kV with a l e ; t k a g < ~ n ~ < ~ c : u n c r : ~ of o · ~ ~ · _ < H l ( ~ t h ~ ~ ~ of the step-down ; r a n s i o r m ~ · r ts ?:> \1 V bb;b.b l\V wtth n leakage r e • ~ e t < u H . : e of I0'·,. Thr:; hu:; l ' ( l l t a g ( ~ at t h f ~ rnoto ' is G. ) I<V when a t l m ~ e p h a s ( ~ f<ll h occurs at the point E For t w specific fault.
calc atr • a) ibi {cl
(;i1en : b a ~ e
~
0
llw s ~ r b t r < m s i e n t ntJTent in the fault tlw s u b t r a n s i r ~ n t c u r n ~ n t in the break{'. ' B the rnomentary current in bn·aker B ~ . + ~ a r a c t a n c e of t l H ~ transmission l i n e
of 25 MVA.
GG
I<V r\s:;ume th t the sv. •m
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2
nna ten the e a n te t. I f th 0 M W p e a k p ow e r o u tp u t. 1.0 G H z u n d a 1.
l.G G M H z ivee r b a n d -w i d th l. rs, t h e re c e iv m e te r' is 4 m e t e rs, d ia iam oisse f ig u re , w h at is its 10 dB n oi an d th e re c e i v e r h as a 10 20 · t a for l o n ra ng e for m a xim u m d ~ ~ t 5.
SE C T IO N B
anyy an
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T H R E E o f t h e f o l l o w i n g s ta t e m e n ts .
nd id e n t ify the c o r rect an d t h e in ulll y a nd em c a re f ul them ad th re ad thaa n re th nott m o re ng no w e r u s ing answ tifyy yo u r ans one es J u s tif 'tec t on Co 't Co ch ca se : in each rdss in 0 w o rd 200 20 f o i' o u r· is u s < h is u s e d at in p u t a n d tr i s t a t e is tch (a) L a tc put p u r p o s e ~
in r ~ e in
siee ' : ' . ~ 1 i c r o p r o c e s ~ o r ~ a s e d sy si
actt o r s 1 0 In te g r a t e d C l r C '..apact b ) C'..ap tan n c e o f a tio o n c a p a c i ta siti traa n si he tr L ii iinng t he
are o b t a t n e d l r e v e r s e - b i s e d
o ~
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