Exam3_Solutions[1]

# Exam3_Solutions[1] - Exam HI EE321 Fall, 2010 f@ a], u 7”...

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Unformatted text preview: Exam HI EE321 Fall, 2010 f@ a], u 7” O M 5:24". Last Name: First Name: Student ID: Work )mblems and )mvide answers in s Jace Jrovided ~ do not mm: 3136 )a ’63 lupage crib allowed (to be submitted with exam). No calculators, you may express answers in terms of 7c , ﬂ , e , oo, including fractions thereof. Simplify to extent possible. Some answers may be 0 0r 00 . (25) 1. Consider the following dc motor drive system. Plot indicated variables and ﬁil in blanks. [iv—v} “- r“ V r r . » . ‘ - . .. M k»! 0 ‘02 a! (d) IQ = 4% A vg 1,3 va i » ea; 1 Va 5 a we??? (25) 2. Consider a machine with 2 series—connected coils (asl - as 1' and {182 —~ (132’ ) each with 4 turns. [Mi] (a) If ias = I A and assuming mmfas(0) = 0, sketch mmfasws). l“...__.....m.ﬂ,i.i WM. 360“ 3 5° 2 5° 9 W. (b) Correct mmfasm) r w “a? _W__A (c) In Fig. to right, sketch the Iocati0n(s) of NS and 88 for i 1 A. (13 (d) P a: imwmumber of poles) cm. (25) 3‘ it") b; Windings are sinusoidally distribut- [Mi] ed with N3 2 100 total turns " 01,-)” Omitb (21) Express Inmfasﬁas, \$8) 2: 5‘09?» §Ln (IA; > Minn; lit in; Xi’an ('le (13) Suppose l’as m Scosnt and Ibs = 53innt. Draw locations of be and bs' in the figure above for CCW rotation of N 9 and 83. Mark which is dotted and which is crossed. (e) For answer in (b), mmfbsﬁbs, es) 2 50 [195? {we .6 A MMF},5 ‘; w {vi/ﬂ {if , ' y) (d)The Speed of NS and SS is 7f rad/s. (e) Express the net mmfs due to both currents in the form (pick one and ﬁll in blanks). Show derivation and circle trigonometric identity used (14 below). ., we '“a ‘ ,6 F, — f . {w mmeU) : coshﬂt +~ (138) A, MM {5 50 r2235; (“3.152; 50 [[95 ﬂ "ﬁr ti {-3 ﬂimfsﬂ) = consent—tbs) A, Metro {/3 (“a mm t 4» (292% 3 mmfsﬂ) x Eggsingﬁjmt + (1)3) A, or (£74.; (:2 Air) { d i. "l 2 mmfsoi) : __msin(Wt—¢S) A. I. cos(x+y) 2 cosxcosyw sinxsiny cos(x—~y) = cosxcosy-l sinxsiny sin(x+y) = sinxcosy+ eosxsiny PP!“ sin(x w y) = sinxcosy — cosxsiny (25) 4. Consider a 2—poie 2-phase permanent-magnet (PM) ac motor. The peak self—inductance of either stator [i—iii, vi] Winding is 5 H. The peak ﬂux linking either stator winding due to the PM is 0.2 V-s/rad. bs’ o Ads 2 :l ias + 0 ‘2 7Lbs (73 5; Lbs a9)?» {‘91 (mt a 1A,ibs = o,e,.= 900,?“ I Q 2 B as ' e _ 7}} 9 / -1 ‘6 a“ .t 5‘34 its?" f 1.2 é/“ﬂ 6v "t 0‘24! 505 692: i j " Erie? a? 2 i ‘ . “x. . ., .. P‘ 7' 0‘2 "ago-rag -.:.. 0‘2 l U 0.x. t I”) (c) Devise a transformation of variables such that the ﬂux linkage equations are independent of rotor po- sition. Draw the coordinate axes in the Space provided next to figure above and express the transfor— mation in the form (watch subscripts). (d) Express the transformed flux linkage equations in terms of numbers and/or trig functions. You do not have to Show work. Exam III ECESZI F2111, 2010 Last Name: First Name: Student ID: Work )mblems and Jrovide answers in s were rovided ~ do not zmsla ﬁle )a 1~page crib allowed (to be submitted with exam). No calculators, you may express answers in terms of TE , ﬂ , e , oo , including fractions thereof. Simplify t0 extent possible. Some answers may be 0 or 00. (25) 1. Consider the foliowing do motor drive system. Plot indicated variables and ﬁll in blanks. {iwvi T<<Ta 0 0.6?“ T A 3-- (c) 03,. = (2 \$17 rad/s (cw—S: CM; A (25) 2. Consider a machine with 2 series-connected coils (as! —— asi’ and 0:32 "- as2’) each with 2 {Lu-us. [i-ii] (a)1f ids = 1 A and assuming mmfasw) : 0, sketch mmfas(<§)s). (b) Correct mmfasm) = M“ \ A {ﬁx (C) In Fig. to right, sketch the locati0n(s) of NS and SS for ias = 1 A. (d) P 2 _ iii- (number of poles) (25) 3' Windings are sinusoidaliy distrib— [i-iil uteri with NS 2 100 total turns 1/11”? Fﬂlfl‘ﬁzﬁi all? [ /-.. [ﬂ (b) Suppose Ias : Scosrct and I58 2 Ssimcif. Draw locations of 53 and bs’ in the figure above for CCW rotation of N9 and SS. Mark which is dotted and which is crossed. . . x ‘ .,,r 4 (C) For answer in (b), Inmfbsubs, : éoliﬂ-U‘? W3)“ A mam/PW ;.:« {1:339 w 55: f); (d) The Speed of NS and SS is ii." radfs. (e) Express the net 111me due to both currents in the form (pick one and fill in blanks). Show derivation and circle trigonometric identity used (1-4 below). mmfsﬁi) = ____ cos(____t + (is) A, A}: M :t AWWM M (Kiwi? mmeU) : c§5"(‘>sin(_£_t + (1)3) A, or mmeU) = _____sin(____t-c1>s) A. l. cos(x +32) : cosxcosym sinxsiny 2. cos(x—y) = cosxcosy + sinxsiny 3. sin(x+y) = sinxcosy + cosxsiny 4. sin(xwy) : sinxcosym— cosxsiny (25) 4. Consider a 2-poie 2-phase permanent—magnet (PM) ac motor. The peak selfnindactance of either stator (rm, vi] winding is 2 H. The peak flux linking either stator winding due to the PM is 0.05 V-s/rad. bl; Own} ‘2 (a) Fill in blanks with numbers and/or trig. functions (e) Devise a transformation of variabies such that the flux linkage equations are independent of rotor po— sition. Draw the coordinate axes in the space provided next to figure above and express the transfor— mation in the form (watch. subscripts). fds qu (d) Express the transformed flux linkage equations in terms of numbers andlor trig functions. You do not have to show work. ...
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## This note was uploaded on 11/29/2010 for the course ECE 321 taught by Professor Staff during the Spring '08 term at Purdue University-West Lafayette.

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Exam3_Solutions[1] - Exam HI EE321 Fall, 2010 f@ a], u 7”...

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