hw4_solutions[1]

# hw4_solutions[1] - Pee/39»! #OME WORK #a 50mm 1. The static

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Unformatted text preview: Pee/39»! #OME WORK #a 50mm 1. The static torque-versus—position characteristics of a VRSM are depicted below for one—phase—on-at—a— time excitation. LB = 0.05 H and TL 2 0.06 N—m. If we wish to achieve CCW stepping (one S L at a time) what excitation sequence is needed: as—bs-cs— as... or as—cs—bs—as-... ? To what value should the current bet set in the active phase? Sketch the corre- sponding trajectory above assuming no overshoot and 0m settles to equilibrium before next step is applied. ﬂog-2 Cam stetafgtfﬂrg c: {hitters} 3 {11\$ laéé‘“ a 01 = "1i1+P7V1 '9 7);?! ’5’ Vi “I”? it x1 = L1(e,.)i1 L. c X him?) _ l .2 aZL1 Te ‘ 2 ‘1 der p9,. = oar Te—TL = Jpoar+Bc0r a??? Pa)"; Sketch the time—domain block diagram assuming you are given the following blocks. Assume v1 and TL are inputs. Label all gains and all inputs/outputs to/from each block. . summer 4 6 gain /\_ r l \._ WW ‘\ WW, ‘ > + x w— l i y ' ’1 we» . 8 integrator multiplier i V 1H 1H : r: 5,, (41h z‘, [:2 5; £2 3w (a) Assuming there is no commutator and i1 = i2 = 4 A, sketch Te(0r) in space below. Indicate maxi- mum and minimum values and the positions 9,. where they occur. T = N-m @ 0r : "/5079: if???“ 0 —270° —180° T e, min N—m@ Or: 5’? ° (b) Assume a mechanical commutator acts so that the rotor coil in the upper half (2 or 2') always conducts positive firA in the “dotted” direction while the lower coil always conducts positivew‘l" A in the “tail-of— an-arrow” direction. Repeat (a). 0 N-m @ or = “270;”??? 0 o N-m@ 9r = 4. A PM dc machine is turned by a mechanical source at 100 rad/s. The measured open-circuit armature voltage is 5 V. The armature is then short circuited. The measured short-circuit current is 2 A. (a) lav = (9417:? V-s/rad o/Jem 42231-911; Vii \$3.902; AL?” : (b) ra 526' o. {9 :: “7:” g "izr «2 {it}, Plkg “5:”; 2%? ‘5 Q “ 5 J2. (c) Sketch Te versus (0,, for Va 2 5 V indicating stall torque and no—load speed. «Jim W? t 0 04 TM 511. i?» ’4 (9 i i MM / 57/11” (“'53 I} M);UZJ/\ (,7? T5» go :2 at“) (T53 {Maﬁa 0 ‘5 NM ...
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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.

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hw4_solutions[1] - Pee/39»! #OME WORK #a 50mm 1. The static

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