EET 438a Automatic Control Systems Technology Laboratory 5 Control of a Separately Excited DC Machine


 Edwina Osborne
 3 years ago
 Views:
Transcription
1 EE 438 Automtic Control Systems echnology bortory 5 Control of Seprtely Excited DC Mchine Objective: Apply proportionl controller to n electromechnicl system nd observe the effects tht feedbck control hs on system performnce. Model n electromechnicl system using differentil nd lgebric equtions. Determine the stedystte nd dynmic performnce of torquecontrolled permnent mgnetic dc motor with different controller prmeters. Observe the effects of feedbck control on motorgenertor system tht is subject to externl disturbnces. Apply proportionlintegrl controller to the motorgenertor system bove nd compre the performnce to proportionl controller. heoreticl Bckground Previous lbs demonstrte tht the response of system is modified by negtive feedbck control. he response speed of the system is incresed s the proportionl gin on the system increses. his ws demonstrted using n electricl nlog for process. his section of the circuit represented first order lg process. his lb introduces commonly used finl control element nd uses it in the proportionl controller designed from the previous experiment. he seprtely excited dc motor is widely used in process industries s n ctutor. his mchine hs liner model ignoring sturtion. Motor speed, torque or power cn be controlled to meet number of industril pplictions. his lb uses smll permnent mgnet dc mchines in motor, speed sensing, nd genertor pplictions. his is equivlent to lrger seprtely excited mchine tht hs constnt field current. he schemtic model of seprtely excited voltge controlled dc mchine is shown in Figure. For rmture voltge control the speed of the motor is proportionl to the rmture voltge ssuming tht there is no sturtion of the field. he electricl prmeters of the circuit re the rmture resistnce R, the rmture inductnce, nd the counter emf, e b. he vlue of e b is proportionl to the speed of the motor for liner opertion. he proportionlity constnt is clled the bck emf constnt, K e. his cn be found from test or in the mnufcturer's dt sheets. Writing KV eqution round the rmture circuit gives the stedystte response for the rmture. e e I R ( ) b Fll 206 lb4.doc
2 Where e ( 2) b K e m d Figure. Seprtely excited dc motor model. he stedystte speed of the motor is found by combining Equtions nd 2. e I R m ( 3) Ke he stedystte developed motor torque depends on the strength of the mgnetic field flux nd the rmture current. his is lso liner reltionship if no sturtion is ssumed in the mgnetic circuits. Since the motor mgnetic flux is constnt, the motor torque is linerly relted to the rmture current through the proportionlity constnt K. d K I ( 4) For motor speed to remin constnt, the motor lod torque, must be equl to the motor developed torque plus ny rottionl loss torque. Where ( 5) f d d = motor developed torque = mechnicl lod torque f = frictionl torque due to rottionl losses Fll lb4.doc
3 Since the developed torque of the motor is proportionl to the rmture current, equtions 3 nd 4 cn be combined to give n eqution tht reltes the rmture current to the lod torque, K I (6) Since ll prcticl mchines hve nonzero vlues of f, n unloded motor must drw t lest enough current to overcome its rottionl losses. he motor's nolod speed will depend on the mechnicl prmeters. f he mechnicl prmeters of the dc mchine re the viscous friction of the motor B m nd the rottionl inerti of the motor rmture, J m. he vlue of J m nd the rmture ccelertion determine the inertil torque tht the mchine must overcome while the vlue of B m reltes the dynmic friction to the rmture speed. he dynmic equtions of the mchine re differentil equtions tht relte the electricl inputs to the developed torque nd speed of the motor. When rrnged in the form shown below they re clled stte equtions. Stte eqution formultions re more flexible thn trnsfer function models becuse tht llow nonzero initil conditions nd produce the time function solutions directly when solved by computer. Where di R dt dm K dt J m K i e B i J m m m e m J m () (b) ( 7) R = the motor rmture resistnce = the motor rmture inductnce e = the motor rmture voltge m = the motor speed (rd/sec) B m = the totl motor/lod viscous friction coefficient (Nms/rd) J m = the totl motor/lod rottionl inerti (Nms 2 /rd) K e = bck emf constnt (Vs/rd) K = torque constnt (Nm/A) = motor lod torque (Nm) In this formultion of the motors dynmic response the vribles i nd m re clled stte vribles. he inputs to the system re the rmture voltge, e nd the motor lod torque,. Eqution 7 describes the electricl dynmics of the motor nd eqution 7b the mechnicl dynmics. Solving these equtions using pproprite computer routines will give plots of the responses of the motor speed nd rmture current. hese vribles completely describe the response of the motor. Fll lb4.doc
4 ArmtureControlled Dc Mchines In the stte eqution model of dc motor bove, the motor speed is controlled by chnging the rmture voltge. Figure 2 shows the schemtic for n rmturecontrolled dc motor. his method of control requires vrible dc voltge source nd ssumes constnt field flux. Permnent mgnet dc motors hve constnt field flux. his lb ctivity will use this type of motor. R Vrible Dc Source e i e b + Mechnicl od J B B m J m Figure 2. ArmtureControlled Dc Motor Model. In Figure 2 schemtic, vrible dc voltge source supplies voltge to the motor rmture. Eqution 7 describes the electricl response of the motor to chnge in the vrible input voltge, e. his eqution writes e b in terms of the motor speed nd the bck EMF constnt. Eqution 8 below resttes eqution 7b s torque blnce t the rmture. J m dm B dt m he terms on the lefthnd side of the eqution represent the inertil torque, the viscous friction torque, nd the motor lod torque. hese torques must equl the developed rmture torque to mintin constnt motor speed. he rmture voltge, the motor constnts nd the viscous friction coefficient determine the speed of the rmturecontrolled dc motor. At equilibrium there is no ccelertion nd not chnge in current so the derivtives in equtions 8 nd 7 re zero. Combining these equtions gives the reltionship for speed s function of the rmture voltge. Note tht the in stedystte f =B m m. m K i ( 8) K E R ( ) f m ( 9) K K e Fll lb4.doc
5 Where m = motor rmture speed. (rd/sec) K = motor torque constnt (Nm/A). Ke = motor EMF constnt (Vsec/rd) = lod torque (Nm) f = frictionl torque If the motor is unloded then is zero nd the vlue of f limits the motor speed to the nolod vlue. he motor rmture voltge, E, must be set to vlue tht will produce t lest the friction torque or the motor will not strt spinning. Incresing the vlue of E bove the nolod voltge will cuse the rmture to ccelerte until it reches new stedystte speed. Additionl mechnicl lod cn then be pplied until f + = K I. In stedystte, rmture voltge reltes to rmture current through the following expression: Where: E K R e m I m = motor stedystte speed (0) If more torque is required by the motor but the rmture voltge remins fixed then the rmture current cnnot increse limiting the torque nd the motor will stll. he rmture current must increse to meet the torque demnd plced on the motor. his mens tht the rmture voltge must increse s well to produce more current. he block digrm show in Figure 3 shows how the rmture current nd lod torque ct s inputs to the mechnicl system comprised of the motor rmture nd its lod. I (s) d (s)  K + J s m B m m (s) Figure 3. Block Digrm of Current Driven Dc Motor with n Externl od. he directcoupled motor/lod combintion is first order lg process with time constnt tht is given by J m /B m. he totl rottionl inerti is J m nd totl viscous friction is B m. Fll lb4.doc
6 chogenertor Model he speed of dc mchine cn be mesured with dc tchometer. A dc tchometer is permnent mgnet dc genertor tht is connected to the sme shft s the drive motor. he output voltge of the dc genertor under constnt lod is proportionl to the genertor shft speed. he time domin nd plce equtions for this device re: where v k t V (s) k t t t m m (s) k t = the tchogenertor constnt (Vs/rd) v t = the tchogenertor output voltge (V) m = motor rmture speed (rd/sec) It my be necessry to scle the output of tchometer to reduce the spn of its output. OP AMP scling circuits, similr to those in b, cn scle the tchometer's output to ny prcticl rnge. () Vrible Dc Using PulseWidth Modultion PulseWidth Modultion PWM cn produce controllble dc output tht hs high voltge nd current.. PWM produces vrible dc voltge by switching dc source on/off for frction of pulse duty cycle. An idel PWM circuit hs liner reltionship between duty cycle nd output voltge. his modultor compres reference level to tringle wve nd produces n output squre wve with vrible duty cycle. his output signl cn control higher voltge nd current source producing n djustble dc level. +Vf V f V in +Vf V f V in Vf t (sec) Vf t (sec) t on t on V omx Vo f t (sec) Vo f t (sec) Figure 4. PulseWidth Modultion Output for Vrying Input Voltge. Fll lb4.doc
7 Figure 4 shows the wveforms for typicl PWM output. In this reliztion, the output voltge pulse width increses s the control voltge, V c, decreses Incresing the pulse width increse the verge dc output voltge linerly with the on time, t on. Mximum output occurs when t on = f, where f is the period of the tringle wve used to modulte the output. he duty cycle cn vry from 0%90% in prcticl reliztions of PWM. he following eqution describes the reltionship. between duty cycle nd output voltge. Where: V t V on o mx o (2) f V o =modultor output voltge V omx = mximum supply voltge t on = pulse on time (sec) f = tringle wve period (sec) he slope of the tringle wve ffects the sensitivity of the output voltge to the modultor input voltge, V in. Using the concept of similr tringles on Figure 4 gives the following reltionship between the control voltge V in nd the pulse ontime, t on. t Vf mx Vin For  Vfmx Vin Vf mx f on 2 V (3) f mx his eqution is vlid for tringle wves input to noninverting comprtor's negtive input nd control voltge pplied to the positive terminl. his lso ssumes finl switching device connect so it conducts when the comprtor output is high. Combining Equtions (2) nd (3) reltes the input voltge of the PWM to the dc output. V o Vf mx Vin Vo mx 2 V (4) f mx PWM Drive Circuit Using Anlog Devices Figure 5 shows PWM circuit for delivering vrible voltge to smll permnent mgnet dc motor. he circuit uses common ICs to produce tringle wve nd compre it to reference voltge. he dc motor directly couples to tchogenertor nd smll genertor for this lb ctivity. his lb fixture is vilble for the lb instructor. he ICs U, U2 nd U3 form the tringle wve genertor. he IC U is 555 timer configured to operte s n stble multivibrtor. In this configurtion, the time produces squre wve output tht hs widely vrible duty cycle nd frequency set by resistors R, R2 nd cpcitor C. Fll lb4.doc
8 2V R6 2.2k U UA555 R 4k Gnd rg Out Rst Vcc Dis hr Ctl R2 4k D N45 20V Vt R3 3.3k C4 uf R4 0k C2 0.0uF C 0.0uF 0.033uF C3 0k 2V R7 + U2 F352V R5 0k 2V + R8 56k U3 F352V 2V R3 0k 2V U4 P32V R4 0k R0 2.2k D2 N4004 R9 4.7k M Q IRF50 ch M2 M3 V Genertor R2 0k 0% 2V Figure 5. ypicl Dc motor Current Dive Circuit Using unity Gin Follower Fll 206 lb4.doc
9 he diode D bypsses R2 forming wide rnge duty cycle circuit. he following design equtions will find vlues of R nd R2 given vlue of C duty cycle nd frequency. he design shown is set for 5000 Hz nd 50% duty cycle. f 0.67(R R2) C R DC R R2 (5) he output of the timer couples to the OP AMP integrtor circuit through high pss filter formed by C4 nd R3. his circuit removes the dc component of the squre wve nd centers it bout ground. he high pss filter hs cutoff frequency of 50 Hz. he OP AMP U2 is n integrtor circuit with cutoff frequency of 500 Hz nd dc gin of. Design this circuit be selecting frequency well below the timer output, usully fctor of /0 is sufficient, selecting vlue of input resistnce R4 nd computing vlue of C3. he ICs U2 nd U3 re high slew rted JFE input OP AMPs the cn ccurtely reproduce higher frequency signls. he circuit implemented using U3 is simply n inverting OP AMP with gin set by resistors R5 nd R8. his circuit hs dc gin of 5.6 nd inverts the output with respect to the input signl. he IC U4 is noninverting voltge comprtor tht cts s the pulse width modultor. he tringle wve enter the device on the inverting input nd the control voltge, V c, enters on the noninverting terminl. he selected device hs n open collector output tht cn be connected to seprte voltge source. Vrying the vlue of Vc chnges the duty cycle of the comprtor output s shown in Figure 4. he output of the comprtor drives MOSFE device tht is in series with the permnent mgnet dc motor. MOSFE devices re voltge controlled devices tht drw negligible current. he resistors R9 nd R0 form the bis network of the MOSFE. When the output of U4 is high the MOSFE cts s closed switch nd the full motor supply voltge ppers cross its terminls. Mesuring the voltge cross the MOSFE will show zero volts indicting tht the source voltge ppers cross the motor rmture. When the comprtor output is low the MOSFE cts s n open switch nd the source dc voltge ppers cross the MOSFE. No voltge ppers cross the motor rmture. he schemtic shows diode D2 connected cross the motor rmture so it is reverse bised. his diode suppress inductive voltge spike tht pper when the rmture current is switched off. his diode should hve voltge rting of severl hundred volts nd current rting similr to the full lod current of the motor. Fll 206 lb4.doc
10 he resistors nd potentiometer R2, R3 nd R4 form voltge divider network tht provides control voltge for testing this circuit. Remove these components nd connect this comprtor input to the controller output. Seprtely Excited Dc Genertor Model Figure 6. Seprtely Excited Dc Genertor Model. Figure 5 shows the schemtic of seprtely excited dc genertor. A permnent mgnet dc motor cts s seprtely excited dc genertor if it is coupled to source of mechnicl power. he source of mechnicl power is clled the prime mover of the genertor. When the genertor is not connected to n electricl lod the prime mover supplies enough power to overcome the rottionl losses of the genertor. If the genertor is driven t constnt speed then the rottionl power losses cn be expressed s frictionl torque just s in the motor cse. As electricl lod is pplied to the mchine dditionl torque must be supplied by the prime mover or the speed of the system will decrese. he stedystte power blnce t the rmture of the genertor is given s: where d n E I ( 6) 30 d = the torque developed t the rmture (Nm) n = rmture speed (RPM) E = induced rmture voltge (V) I = rmture current (A) he lefthnd side of the eqution is the mechnicl power input nd the righthnd side is the totl electricl power output. he power trnsferred to the lod is the rmture power given in Eqution 2 minus the power losses of the rmture resistnce. Fll lb4.doc
11 If I nd V t re mesured nd the vlue of rmture resistnce, R is known, the developed torque is given by Eqution V I I R d ( 7) n his reltionship shows tht if speed is held constnt then the torque developed in the prime mover must increse. Increses in lod occur when more resistors re connected in prllel cross the genertor terminls. his cuses n increse in I which lso increses the losses due to rmture resistnce. he induced voltge is proportionl to the rmture speed for seprtely excited genertor. he emf constnt of the genertor gives the reltionship between the prime mover speed nd the induced voltge. E K e n he dynmic equtions for the seprtely excited genertor re shown in stte vrible form. hese equtions ssume tht the prime mover is seprtely excited dc motor. dg K dt J di R dt v R g i i R m B J i g g K g J g K e g g i (b) (c) () ( 8) where g = genertor rmture speed (rd/sec) i m = motor rmture current (A) i = genertor rmture current (A) R = genertor rmture resistnce ( = genertor rmture inductnce (H) R = lod resistnce ( K e = genertor emf constnt (Vs/rd) K = motor torque constnt (Nm/A) J g = genertor rottionl inerti (Nms 2 /rd) B g = genertor viscous friction coefficient (Nms/rd) v = lod terminl voltge Eqution 4 describes the mechnicl dynmics of the genertor. he prime mover rmture current is considered n input to the system. his set of equtions cn be combined with the model for the current driven dc motor to give n overll response of the system. Eqution 4b represents the electricl dynmics of the genertor rmture Fll 206 lb4.doc
12 circuit. he lod is considered to be fixed resistnce. Eqution 4c is the output eqution tht reltes the stte vribles g nd i to the output. Design Project I Proportionl Control of Dc MotorGenertor System.) Construct the PWM Driver circuit shown in Figure 5 using the vlues shown in the schemtic. he IRP50 power MOSFE should be mounted on het sink. Use two power supplies to derive the voltge sources for the circuit. One supply will provide the 20 Vdc for the motor nd MOSFE only. he other supply will provide the voltges for the controller nd current converter circuits. Set the OP AMP supply for 2 Vdc. 2.) est the circuit by connecting it to the motorgenertor test setup provided. It consists of 3 identicl permnent mgnet motors with coupled shfts. he mchine prmeters re: K e = Vsec/rd K = Nm/A R = 22.6 ohms = H B m = 0.745x06 Nms/rd J m = 3.39x06 Nms 2 /rd Assume tht ll three mchines re identicl so the bove prmeters describe ll mchines mounted on the test setup. One of the mchines will be driven by the PWM driver circuit while nother mchine will function s dc tchometer to mesure the speed of the motor. he lst mchine will be connected s dc genertor. Initilly the genertor will operte with nolod. he functionl block digrm of the desired system is shown in Figure 7. V sp +  V e Proportionl Controller V c PWM Vrible Voltge circuit VI Voltgefed PM dc motor m PM dc Genertor V V bis V m Voltge scling V t cho genertor Figure 7. Block Digrm of the MotorGenertor Control System. est the combintion of the PWM driver nd motorgenertortchometer system by pplying different vlues of input voltge, V c, to the comprtor U4 using the Fll lb4.doc
13 potentiometer R2. Record the vlues of motor rmture current I, tchometer output voltge V t, Q drintosource voltge, V DS nd the genertor output voltge. Mke the mesurements for the following vlues of V c shown in ble A. Determine the vlue of V c tht just cuses the rmture to turn (between 60 nd80 ma of rmture current) when there is nolod connected to the genertor. Record this dt in ble B. 3.) Modify the difference mplifier nd proportionl controller from the Experiment 2 so tht bis voltge produces V c tht just cuses the motor rmture to spin. he feedbck signl to the difference mplifier nd the setpoint voltge signls should be disconnected nd both inputs to the difference mplifier grounded when testing this circuit modifiction. Grounding the inputs is equivlent of hving zero error. 4.) Unground the setpoint input to the difference mplifier nd connect it to the wiper rm of potentiometer tht gives 05 Vdc output. With the motor rmture current set to the vlue found in step 3 by the proportionl controller bis, Adjust the output of the setpoint potentiometer nd mesure the voltge output of the tchometer. Adjust the setpoint vlue until the tchometer output reds 2.06 Vdc. Using voltge divider circuit nd n OP AMP voltge follower circuit, scle the tchometer output voltge to be equl to 2.5 Vdc. 5.) Deenergize the whole system nd set the vlue of Kp to 2. Disconnect the inputs of the difference mplifier from ground nd connect them to the setpoint vlue nd the feedbck signl supplied from the scling circuit. Set the setpoint voltge to 2.5 Vdc nd energize the whole system. Mesure the motor rmture current I, the controller output V c, the feedbck signl voltge, V m, the error voltge V e, nd the tchometer output voltge V t. For the setpoint voltges shown in ble 2A Estimte the motor speed, n m, by dividing V t by the tchometer constnt, K e = V/RPM, nd lso record this in ble 2A. 6.) Set the setpoint vlue to 2.5 V. Connect 000 ohm /2 wtt resistor cross the genertor terminls with the proportionl controller in opertion. Mesure I, V c, V m, V e nd V t gin. Record this dt in ble 2B. Prllel 000 ohm resistors to get the remining lods in ble 2B nd record the results for ech vlue of R. 7.) Repet steps 5 nd 6 with vlues of Kp set to0 nd 50. Enter the dt for Kp=0 into bles 3A nd 3B. For Kp=50 enter the dt into bles 4A nd 4B. Include ll the dt collected from the tests on the system in the report. Also derive closed loop trnsfer function for the system with the setpoint voltge s the input nd the genertor terminl s the output using Kp=2 nd R =000 ohms. he block digrms for this system nd the derived equtions re in Appendix A of this hndout. Using the dt in bles 2A, 3A, 4A, produce three plots of the setpoint voltge, V sp, (x) vs. the error voltge, V e, (y). In the lbortory report, comment on how incresing the proportionl gin ffects the speed error. Also, produce three plots using the dt in bles 2B, 3B, 4B of the genertor lod resistnce, R, (x) vs. the motor speed, n m, (y). Discuss how the motors speed is ffected by the lod chnge with the controller in opertion. Compre the performnce with n uncontrolled system. Fll lb4.doc
14 Design Project II ProportionlIntegrl Control of Dc MotorGenertor System Proportionl control gives fst response but requires high gins to chieve smll vlues of stedystte error. Applictions tht need more precise control cn employ proportionlintegrl (PI) controller. Figure 7 shows n OP AMP implementtion of PI controller. R 2 5V C R 4 R + 5V R 3 + V e UA74 V c 5V 5V Figure 8. ProportionlIntegrl Controller Using Single OP AMP he trnsfer function of this controller is: V c (s) R2 ( 9 ) Ve (s) R R2Cs Eqution (5) ssumes tht R 3 =R 4. he rtio of R 2 nd R sets the proportionl gin nd the cpcitor nd R 2 set the integrl ction rte. he recipricl of the integrl ction rte is the time required for the integrl mode to mtch the chnge in output produced by the proportionl mode. he proportionl gin is defined in terms of the OP AMP prmeters s R 2 Kp ( 20 ) R K I R C ( 2) 2 Disconnect the proportionl controller from the feedbck loop nd substitute PI controller tht hs the following prmeters: Kp=2 nd K I =23 sec . et C =0.0F for this clcultion nd find vlues for R, R 2, R 3, nd R 4. Figure 8 shows block digrm of the motorgenertor system with the PI controller dded. Fll lb4.doc
15 V sp +  V e PI Controller V c PWM Vrible Voltge circuit I Voltgefed PM dc motor m PM dc Genertor V V m Voltge scling V t cho genertor Figure 9. Motor Control Using Proportionl Integrl Controller..) With the controller design from bove instlled in the control loop, vry the setpoint voltge over the rnge shown in ble 5A, nd mke ll the necessry mesurements to fill the tble. 2.) Adjust the setpoint to 2.5 V dc nd dd the genertor lod resistors listed in ble 5B. Mke ll necessry mesurements to fill the tble. 3.) Set Kp=0 nd mintin K I =23 sec . Vry the setpoint with no lod resistor connected nd record the dt in ble 6A. 4.) Adjust the setpoint to 2.5 V dc nd dd the genertor lod resistors listed in ble 6B. Mke ll necessry mesurements to fill the tble. Using the dt in bles 5A nd 6A, produce two plots of the setpoint voltge, V sp, (x) vs. the error voltge, V e, (y). In the lbortory report, comment on how incresing the proportionl gin ffects the speed error nd how the integrl ction chnges the system performnce. Also, produce two plots using the dt in bles 6B, 6B, of the genertor lod resistnce, R, (x) vs. the motor speed, n m, (y). Discuss how the motors speed is ffected by the lod chnge with the PI controller in opertion. Compre the performnce with n uncontrolled system nd the proportionl only controller. Fll lb4.doc
16 Appendix A Block Digrms for b 5 he block digrm below describes the signl flows of torquedriven dc genertor used in the lb. d (s) +  J m s B m mg (s) E g (s) K e s (R R ) I (s) R V (s) g (s) K g Figure 0. Block digrm of Genertor. he prmeters hve the following definitions: d (s) = mechnicl torque developed by the prime mover g (s) = counter torque developed by the genertor J m = the rottionl inerti of the motor nd genertor B m = the viscous friction of the motor nd genertor K e = genertor emf constnt = genertor rmture inductnce R = genertor rmture resistnce R = lod resistnce K g = genertor torque constnt mg (s)= shft speed of motorgenertor I (s) = genertor lod current V (s)= genertor terminl voltge Fll lb4.doc
17 When the speed feedbck control is dded the following block digrm results: V m (s) K s K t  + K P V c (s) K VI I m (s) K m +  J m s B m d (s) mg (s) K e s (R R ) E g (s) I (s) R V(s) V sp (s) g (s) K g Figure. Overll system block digrm. he prmeters nd signls re defined below. V sp (s) = system control setpoint vlue V c (s) = controller output voltge I m (s) = motor rmture current K t = tchometer voltge constnt K s = voltge scling circuit constnt K VI = voltgetocurrent converter gin (h FE /R 2 ) K m = motor torque constnt K P = controller proportionl gin he overll trnsfer function is found using the formul below: V V sp (s) G (s) (s) G (s)g (s)h (s) G (s)g (s)h (s) ( 22 ) With: G (s) KPKVIKm (s) KsKt G (s) 2 Jm 2(s) K H H g s B m G3(s) s (R R ) G KPKVIKmKeR (s) ( s (R R ))(J s B m m ) Fll lb4.doc
18 ble A V c (Vdc) V DS (Vdc) V t (Vdc) I (ma) ble B Strting Current Vlues I (ma) V CE2 (Vdc) V t (Vdc) V c (Vdc) ble 2A K p =2, R =infinity V sp (Vdc) V t (Vdc) V m (Vdc) V e (Vdc) V C (Vdc) n m (RPM) ble 2B Kp=2, V sp =2.5 Vdc R () I (ma) V t (Vdc) V m (Vdc) V c (Vdc) V (Vdc) n m (RPM) Fll lb4.doc
19 ble 3A K p =0, R =infinity V sp (Vdc) V t (Vdc) V m (Vdc) V e (Vdc) V C (Vdc) n m (RPM) ble 3B Kp=0, V sp =2.5 Vdc R () I (ma) V t (Vdc) V m (Vdc) V c (Vdc) V (Vdc) n m (RPM) ble 4A K p =50, R =infinity V sp (Vdc) V t (Vdc) V m (Vdc) V e (Vdc) V C (Vdc) n m (RPM) ble 4B Kp=50, V sp =2.5 Vdc R () I (ma) V t (Vdc) V m (Vdc) V c (Vdc) V (Vdc) n m (RPM) Fll lb4.doc
20 PI Controller Design Dt ble 5A K p =2, K I =23, R =infinity V sp (Vdc) V t (Vdc) V m (Vdc) V e (Vdc) V C (Vdc) n m (RPM) ble 5B Kp=2, K I =23, V sp =2.5 Vdc R () I (ma) V t (Vdc) V m (Vdc) V c (Vdc) V (Vdc) n m (RPM) ble 6A K p =0, K I =23, R =infinity V sp (Vdc) V t (Vdc) V m (Vdc) V e (Vdc) V C (Vdc) n m (RPM) Fll lb4.doc
21 ble 6B Kp=0, K I =23, V sp =2.5 Vdc R () I (ma) V t (Vdc) V m (Vdc) V c (Vdc) V (Vdc) n m (RPM) Fll lb4.doc
Lab 8. Speed Control of a D.C. motor. The Motor Drive
Lb 8. Speed Control of D.C. motor The Motor Drive Motor Speed Control Project 1. Generte PWM wveform 2. Amplify the wveform to drive the motor 3. Mesure motor speed 4. Mesure motor prmeters 5. Control
More informationSynchronous Machine Parameter Measurement
Synchronous Mchine Prmeter Mesurement 1 Synchronous Mchine Prmeter Mesurement Introduction Wound field synchronous mchines re mostly used for power genertion but lso re well suited for motor pplictions
More informationSynchronous Machine Parameter Measurement
Synchronous Mchine Prmeter Mesurement 1 Synchronous Mchine Prmeter Mesurement Introduction Wound field synchronous mchines re mostly used for power genertion but lso re well suited for motor pplictions
More informationSynchronous Generator Line Synchronization
Synchronous Genertor Line Synchroniztion 1 Synchronous Genertor Line Synchroniztion Introduction One issue in power genertion is synchronous genertor strting. Typiclly, synchronous genertor is connected
More informationUniversity of North CarolinaCharlotte Department of Electrical and Computer Engineering ECGR 4143/5195 Electrical Machinery Fall 2009
Problem 1: Using DC Mchine University o North CrolinChrlotte Deprtment o Electricl nd Computer Engineering ECGR 4143/5195 Electricl Mchinery Fll 2009 Problem Set 4 Due: Thursdy October 8 Suggested Reding:
More informationCompared to generators DC MOTORS. Back e.m.f. Back e.m.f. Example. Example. The construction of a d.c. motor is the same as a d.c. generator.
Compred to genertors DC MOTORS Prepred by Engr. JP Timol Reference: Electricl nd Electronic Principles nd Technology The construction of d.c. motor is the sme s d.c. genertor. the generted e.m.f. is less
More informationLecture 16: Four Quadrant operation of DC Drive (or) TYPE E Four Quadrant chopper Fed Drive: Operation
Lecture 16: Four Qudrnt opertion of DC Drive (or) TYPE E Four Qudrnt chopper Fed Drive: Opertion The rmture current I is either positive or negtive (flow in to or wy from rmture) the rmture voltge is lso
More informationExercise 11. The Sine Wave EXERCISE OBJECTIVE DISCUSSION OUTLINE. Relationship between a rotating phasor and a sine wave DISCUSSION
Exercise 11 The Sine Wve EXERCISE OBJECTIVE When you hve completed this exercise, you will be fmilir with the notion of sine wve nd how it cn be expressed s phsor rotting round the center of circle. You
More informationModule 9. DC Machines. Version 2 EE IIT, Kharagpur
Module 9 DC Mchines Version EE IIT, Khrgpur esson 40 osses, Efficiency nd Testing of D.C. Mchines Version EE IIT, Khrgpur Contents 40 osses, efficiency nd testing of D.C. mchines (esson40) 4 40.1 Gols
More information(CATALYST GROUP) B"sic Electric"l Engineering
(CATALYST GROUP) B"sic Electric"l Engineering 1. Kirchhoff s current l"w st"tes th"t (") net current flow "t the junction is positive (b) Hebr"ic sum of the currents meeting "t the junction is zero (c)
More informationExperiment 3: NonIdeal Operational Amplifiers
Experiment 3: NonIdel Opertionl Amplifiers Fll 2009 Equivlent Circuits The bsic ssumptions for n idel opertionl mplifier re n infinite differentil gin ( d ), n infinite input resistnce (R i ), zero output
More informationExperiment 3: NonIdeal Operational Amplifiers
Experiment 3: NonIdel Opertionl Amplifiers 9/11/06 Equivlent Circuits The bsic ssumptions for n idel opertionl mplifier re n infinite differentil gin ( d ), n infinite input resistnce (R i ), zero output
More informationA Novel Back EMF Zero Crossing Detection of Brushless DC Motor Based on PWM
A ovel Bck EMF Zero Crossing Detection of Brushless DC Motor Bsed on PWM Zhu Bopeng Wei Hifeng School of Electricl nd Informtion, Jingsu niversity of Science nd Technology, Zhenjing 1003 Chin) Abstrct:
More informationSection 2.2 PWM converter driven DC motor drives
Section 2.2 PWM converter driven DC motor drives 2.2.1 Introduction Controlled power supply for electric drives re obtined mostly by converting the mins AC supply. Power electronic converter circuits employing
More informationUnderstanding Basic Analog Ideal Op Amps
Appliction Report SLAA068A  April 2000 Understnding Bsic Anlog Idel Op Amps Ron Mncini Mixed Signl Products ABSTRACT This ppliction report develops the equtions for the idel opertionl mplifier (op mp).
More informationThreePhase Synchronous Machines The synchronous machine can be used to operate as: 1. Synchronous motors 2. Synchronous generators (Alternator)
ThreePhse Synchronous Mchines The synchronous mchine cn be used to operte s: 1. Synchronous motors 2. Synchronous genertors (Alterntor) Synchronous genertor is lso referred to s lterntor since it genertes
More informationApplication Note. Differential Amplifier
Appliction Note AN367 Differentil Amplifier Author: Dve n Ess Associted Project: Yes Associted Prt Fmily: CY8C9x66, CY8C7x43, CY8C4x3A PSoC Designer ersion: 4. SP3 Abstrct For mny sensing pplictions, desirble
More informationExperiment 8 Series DC Motor (II)
Ojectives To control the speed of loded series dc motor y chnging rmture voltge. To control the speed of loded series dc motor y dding resistnce in prllel with the rmture circuit. To control the speed
More informationDESIGN OF CONTINUOUS LAG COMPENSATORS
DESIGN OF CONTINUOUS LAG COMPENSATORS J. Pulusová, L. Körösi, M. Dúbrvská Institute of Robotics nd Cybernetics, Slovk University of Technology, Fculty of Electricl Engineering nd Informtion Technology
More informationKirchhoff s Rules. Kirchhoff s Laws. Kirchhoff s Rules. Kirchhoff s Laws. Practice. Understanding SPH4UW. Kirchhoff s Voltage Rule (KVR):
SPH4UW Kirchhoff s ules Kirchhoff s oltge ule (K): Sum of voltge drops round loop is zero. Kirchhoff s Lws Kirchhoff s Current ule (KC): Current going in equls current coming out. Kirchhoff s ules etween
More informationSimulation of Transformer Based ZSource Inverter to Obtain High Voltage Boost Ability
Interntionl Journl of cience, Engineering nd Technology Reserch (IJETR), olume 4, Issue 1, October 15 imultion of Trnsformer Bsed Zource Inverter to Obtin High oltge Boost Ability A.hnmugpriy 1, M.Ishwry
More informationFuzzy Logic Controller for Three Phase PWM ACDC Converter
Journl of Electrotechnology, Electricl Engineering nd Mngement (2017) Vol. 1, Number 1 Clusius Scientific Press, Cnd Fuzzy Logic Controller for Three Phse PWM ACDC Converter Min Muhmmd Kml1,, Husn Ali2,b
More informationThe Discussion of this exercise covers the following points:
Exercise 4 Bttery Chrging Methods EXERCISE OBJECTIVE When you hve completed this exercise, you will be fmilir with the different chrging methods nd chrgecontrol techniques commonly used when chrging NiMI
More informationABB STOTZKONTAKT. ABB ibus EIB Current Module SM/S Intelligent Installation Systems. User Manual SM/S In = 16 A AC Un = 230 V AC
User Mnul ntelligent nstlltion Systems A B 1 2 3 4 5 6 7 8 30 ma 30 ma n = AC Un = 230 V AC 30 ma 9 10 11 12 C ABB STOTZKONTAKT Appliction Softwre Current Vlue Threshold/1 Contents Pge 1 Device Chrcteristics...
More informationElectronic Circuits I  Tutorial 03 Diode Applications I
Electronic Circuits I  Tutoril 03 Diode Applictions I 1 / 9  T & F # Question 1 A diode cn conduct current in two directions with equl ese. F 2 When reversebised, diode idelly ppers s short. F 3 A
More informationMEASURE THE CHARACTERISTIC CURVES RELEVANT TO AN NPN TRANSISTOR
Electricity Electronics Bipolr Trnsistors MEASURE THE HARATERISTI URVES RELEVANT TO AN NPN TRANSISTOR Mesure the input chrcteristic, i.e. the bse current IB s function of the bse emitter voltge UBE. Mesure
More informationSection Thyristor converter driven DC motor drive
Section.3  Thyristor converter driven DC motor drive.3.1 Introduction Controllble ACDC converters using thyristors re perhps the most efficient nd most robust power converters for use in DC motor drives.
More informationSafety Relay Unit. Main contacts Auxiliary contact Number of input channels Rated voltage Model Category. possible 24 VAC/VDC G9SA501.
Sfety Rely Unit The Series Offers Complete Lineup of Compct Units. Four kinds of mm wide Units re ville: A pole model, pole model, nd models with poles nd OFFdely poles, s well s Twohnd ler. Simple
More informationEngineertoEngineer Note
EngineertoEngineer Note EE297 Technicl notes on using Anlog Devices DSPs, processors nd development tools Visit our Web resources http://www.nlog.com/eenotes nd http://www.nlog.com/processors or emil
More informationSeries AE W PFC INDUSTRIAL POWER SUPPLY
FEATURES Progrmmle output voltge (0%~05%) Progrmmle output current (0%~05%) Universl AC input / Full rnge Constnt current limiting Optionl glol control vi RS3 Selectle +5V / 0.5A or +9V / 0.3A uxiliry
More informationDesign And Implementation Of Luo Converter For Electric Vehicle Applications
Design And Implementtion Of Luo Converter For Electric Vehicle Applictions A.Mnikndn #1, N.Vdivel #2 ME (Power Electronics nd Drives) Deprtment of Electricl nd Electronics Engineering Sri Shkthi Institute
More informationTUTORIAL Electric Machine Modeling
TUTORIAL Electric Mchine Modeling October 206 Electric Mchine Modeling One cn crete electric chine odels using the bsic unction blocks in PSIM. In this tutoril, we will illustrte how to crete the odel
More informationCHAPTER 2 LITERATURE STUDY
CHAPTER LITERATURE STUDY. Introduction Multipliction involves two bsic opertions: the genertion of the prtil products nd their ccumultion. Therefore, there re two possible wys to speed up the multipliction:
More informationReversible and Proportional Electric Actuators
Reversible nd Proportionl Electric s The MP s re used for twoposition, floting, nd proportionl control of dmpers, vlves, nd progrm switches in heting, ventiltion, nd ir conditioning pplictions or similr
More informationSri Ramakrishna Institute of Technology, Coimbatore, India 6. College of Engineering, Guindy, Chennai, India
DC Position Control System Determintion of Prmeters nd Significnce on System Dynmics C.Gnesh 1, B.Abhi 2, V.P.Annd 3, S.Arvind 4, R.Nndhini 5 nd S.K.Ptnik 6 1,2,3,4,5 Sri Rmkrishn Institute of Technology,
More informationA Development of EarthingResistanceEstimation Instrument
A Development of ErthingResistnceEstimtion Instrument HITOSHI KIJIMA Abstrct:  Whenever erth construction work is done, the implnted number nd depth of electrodes hve to be estimted in order to obtin
More informationLow noise SQUID simulator with large dynamic range of up to eight flux quanta
Low noise SQUID simultor with lrge dynmic rnge of up to eight flux qunt A. Mrtinez*, J. Flokstr, C. Rillo**, L.A. Angurel**, L.M. Grci** nd H.J.M. ter Brke Twente University of Technology, Deprtment of
More informationProducts no longer available
echnicl dt sheet otry ctutor F2P(O) ultifunctionl rotry ctutor with emergency control for 2 nd 3 wy control bll vlve orque Nm Nominl voltge C/DC 2 V Control: odulting DC... V or vrible Position feedbck
More informationPerformance Comparison of Sliding Mode Control and Conventional PI Controller for Speed Control of Separately Excited Direct Current Motors
Journl of Science nd Technology Vol. 13, No. 2 Engineering nd Computer Sciences (ECS) Performnce Comprison of Sliding Mode Control nd Conventionl PI Controller for Speed Control of Seprtely Excited Direct
More information& Y Connected resistors, Light emitting diode.
& Y Connected resistors, Light emitting diode. Experiment # 02 Ojectives: To get some hndson experience with the physicl instruments. To investigte the equivlent resistors, nd Y connected resistors, nd
More informationSoft switched DCDC PWM Converters
Soft switched DCDC PWM Converters Mr.M. Prthp Rju (), Dr. A. Jy Lkshmi () Abstrct This pper presents n upgrded soft switching technique zero current trnsition (ZCT), which gives better turn off chrcteristics
More informationDirect Current Circuits. Chapter Outline Electromotive Force 28.2 Resistors in Series and in Parallel 28.3 Kirchhoff s Rules 28.
P U Z Z L E R If ll these pplinces were operting t one time, circuit reker would proly e tripped, preventing potentilly dngerous sitution. Wht cuses circuit reker to trip when too mny electricl devices
More informationExample. Check that the Jacobian of the transformation to spherical coordinates is
lss, given on Feb 3, 2, for Mth 3, Winter 2 Recll tht the fctor which ppers in chnge of vrible formul when integrting is the Jcobin, which is the determinnt of mtrix of first order prtil derivtives. Exmple.
More information(1) Nonlinear system
Liner vs. nonliner systems in impednce mesurements I INTRODUCTION Electrochemicl Impednce Spectroscopy (EIS) is n interesting tool devoted to the study of liner systems. However, electrochemicl systems
More informationNevery electronic device, since all the semiconductor
Proceedings of Interntionl Joint Conference on Neurl Networks, Orlndo, Florid, USA, August 1217, 2007 A Selftuning for Reltime Voltge Regultion Weiming Li, XioHu Yu Abstrct In this reserch, selftuning
More informationLecture 20. Intro to line integrals. Dan Nichols MATH 233, Spring 2018 University of Massachusetts.
Lecture 2 Intro to line integrls Dn Nichols nichols@mth.umss.edu MATH 233, Spring 218 University of Msschusetts April 12, 218 (2) onservtive vector fields We wnt to determine if F P (x, y), Q(x, y) is
More informationHomework #1 due Monday at 6pm. White drop box in Student Lounge on the second floor of Cory. Tuesday labs cancelled next week
Announcements Homework #1 due Mondy t 6pm White drop ox in Student Lounge on the second floor of Cory Tuesdy ls cncelled next week Attend your other l slot Books on reserve in Bechtel Hmley, 2 nd nd 3
More informationCHAPTER 3 AMPLIFIER DESIGN TECHNIQUES
CHAPTER 3 AMPLIFIER DEIGN TECHNIQUE 3.0 Introduction olidstte microwve mplifiers ply n importnt role in communiction where it hs different pplictions, including low noise, high gin, nd high power mplifiers.
More informationAlternatingCurrent Circuits
chpter 33 AlterntingCurrent Circuits 33.1 AC Sources 33.2 esistors in n AC Circuit 33.3 Inductors in n AC Circuit 33.4 Cpcitors in n AC Circuit 33.5 The LC Series Circuit 33.6 Power in n AC Circuit 33.7
More informationRobustness Analysis of Pulse Width Modulation Control of Motor Speed
Proceedings of the World Congress on Engineering nd Computer Science 2007 WCECS 2007, October 2426, 2007, Sn Frncisco, USA obustness Anlysis of Pulse Width Modultion Control of Motor Speed Wei Zhn Abstrct
More informationA Cost Effective Speed Control Method for BLDC Motor Drive
IJCTA, 9(33), 2016, pp. 0110 Interntionl Science Press Closed Loop Control of Soft Switched Forwrd Converter Using Intelligent Controller 1 A Cost Effective Speed Control Method for BLDC Motor Drive M.
More informationECE 274 Digital Logic. Digital Design. Datapath Components Shifters, Comparators, Counters, Multipliers Digital Design
ECE 27 Digitl Logic Shifters, Comprtors, Counters, Multipliers Digitl Design..7 Digitl Design Chpter : Slides to ccompny the textbook Digitl Design, First Edition, by Frnk Vhid, John Wiley nd Sons Publishers,
More informationCarbon Composition Resistors
Dimensions Cron Composition Resistors Rtings nd Dimensions Type L Specifiction Limit nd Performnce d D Derting Curve 8 6 4 (/, w) Test procedures, sequence of test, etc., refer to MILSTD D nd JISC5.
More informationModeling of Inverter Fed Five Phase Induction Motor using V/f Control Technique
Interntionl Journl of Current Engineering nd Technology EISSN 2277 4106, PISSN 2347 161 201INPRESSCO, All Rights Reserved Avilble t http://inpressco.com/ctegory/ijcet Reserch Article Modeling of Inverter
More informationDiscontinued AN6262N, AN6263N. (planed maintenance type, maintenance type, planed discontinued typed, discontinued type)
ICs for Cssette, Cssette Deck ANN, ANN Puse Detection s of Rdio Cssette, Cssette Deck Overview The ANN nd the ANN re the puse detection integrted circuits which select the progrm on the cssette tpe. In
More informationDirect AC Generation from Solar Cell Arrays
Missouri University of Science nd Technology Scholrs' Mine UMRMEC Conference 1975 Direct AC Genertion from Solr Cell Arrys Fernndo L. Alvrdo Follow this nd dditionl works t: http://scholrsmine.mst.edu/umrmec
More informationJoanna Towler, Roading Engineer, Professional Services, NZTA National Office Dave Bates, Operations Manager, NZTA National Office
. TECHNICA MEMOANDM To Cc repred By Endorsed By NZTA Network Mngement Consultnts nd Contrctors NZTA egionl Opertions Mngers nd Are Mngers Dve Btes, Opertions Mnger, NZTA Ntionl Office Jonn Towler, oding
More informationMAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNELSHAPED NODES
MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNELSHAPED NODES Romn V. Tyshchuk Informtion Systems Deprtment, AMI corportion, Donetsk, Ukrine Emil: rt_science@hotmil.com 1 INTRODUCTION During the considertion
More information5 I. T cu2. T use in modem computing systems, it is desirable to. A Comparison of HalfBridge Resonant Converter Topologies
74 EEE TRANSACTONS ON POER ELECTRONCS, VOL. 3, NO. 2, APRL 988 A Comprison of HlfBridge Resonnt Converter Topologies AbstrctThe hlfbridge seriesresonnt, prllelresonnt, nd combintion seriesprllel
More informationExperiment 3: The research of Thevenin theorem
Experiment 3: The reserch of Thevenin theorem 1. Purpose ) Vlidte Thevenin theorem; ) Mster the methods to mesure the equivlent prmeters of liner twoterminl ctive. c) Study the conditions of the mximum
More informationNP10 DIGITAL MULTIMETER Functions and features of the multimeter:
NP10 DIGITL MULTIMETER. unctions nd fetures of the multimeter: 1000 V CT III tri requencies from 10.00...10 M. Diode mesurement nd continuity testing. HOLD mesurement. Reltive mesurement. Duty cycle (%)
More informationHigh Speed OnChip Interconnects: Trade offs in Passive Termination
High Speed OnChip Interconnects: Trde offs in Pssive Termintion Rj Prihr University of Rochester, NY, USA prihr@ece.rochester.edu Abstrct In this pper, severl pssive termintion schemes for high speed
More informationSLOVAK UNIVERSITY OF TECHNOLOGY Faculty of Material Science and Technology in Trnava. ELECTRICAL ENGINEERING AND ELECTRONICS Laboratory exercises
SLOVAK UNIVERSITY OF TECHNOLOGY Fulty of Mteril Siene nd Tehnology in Trnv ELECTRICAL ENGINEERING AND ELECTRONICS Lbortory exerises Róbert Riedlmjer TRNAVA 00 ELECTRICAL ENGINEERING AND ELECTRONICS Lbortory
More informationREVIEW QUESTIONS. Figure For Review Question Figure For Review Question Figure For Review Question 10.2.
HAPTE 0 Sinusoidl StedyStte Anlysis 42 EVIEW QUESTIONS 0. The voltge cross the cpcitor in Fig. 0.43 is: () 5 0 V () 7.07 45 V (c) 7.07 45 V (d) 5 45 V Ω 0.5 efer to the circuit in Fig. 0.47 nd oserve
More informationPostprint. This is the accepted version of a paper presented at IEEE PES General Meeting.
http://www.divportl.org Postprint This is the ccepted version of pper presented t IEEE PES Generl Meeting. Cittion for the originl published pper: Mhmood, F., Hooshyr, H., Vnfretti, L. (217) Sensitivity
More informationEE Controls Lab #2: Implementing StateTransition Logic on a PLC
Objective: EE 44  Controls Lb #2: Implementing Stternsition Logic on PLC ssuming tht speed is not of essence, PLC's cn be used to implement stte trnsition logic. he dvntge of using PLC over using hrdwre
More informationThreePhase NPC Inverter Using ThreePhase Coupled Inductor
ThreePhse NPC Inverter Using ThreePhse Coupled Inductor Romeu Husmnn 1, Rodrigo d Silv 2 nd Ivo Brbi 2 1 Deprtment of Electricl nd Telecommuniction Engineering, University of Blumenu FURB Blumenu SC Brzil,
More informationMONOCHRONICLE STRAIGHT
UPDATED 092010 HYDROCARBON Hydrocrbon is ponchostyle cowl in bulkyweight yrn, worked in the round. It ws designed to be s prcticl s it is stylish, with shping tht covers the neck nd shoulders nd the
More informationTYPE N AND ON CARRIER REPEATERSREPEATERED NIA HIGHLOW TRANSISTORIZED REPEATER CONTENTS PAGE 1. GENERAL This section describes the physical and
BELL SYSTEM PRACTCES Plnt Series SECTON 3624 1 2 1 ssue 2, December 1969 AT&TCo Stndrd TYPE N AND ON CARRER REPEATERSREPEATERED HGHFREQUENCY LNE DESCRPTONTYPE NA HGHLOW TRANSSTORZED REPEATER CONTENTS
More informationJob Sheet 2. Variable Speed Drive Operation OBJECTIVE PROCEDURE. To install and operate a Variable Speed Drive.
Job Sheet 2 Vrible Speed Drive Opertion OBJECTIVE To instll nd operte Vrible Speed Drive. PROCEDURE Before proceeding with this job, complete the sfety check list in Appendix B. 1. On the Vrible Speed
More informationNetwork Theorems. Objectives 9.1 INTRODUCTION 9.2 SUPERPOSITION THEOREM
M09_BOYL3605_13_S_C09.indd Pge 359 24/11/14 1:59 PM f403 /204/PH01893/9780133923605_BOYLSTAD/BOYLSTAD_NTRO_CRCUT_ANALYSS13_S_978013... Network Theorems Ojectives Become fmilir with the superposition theorem
More informationRadar Altimeter TRANS / REC ( RADAR) APN117? Made by STC (UK) in 1966
dr ltimeter / ( ) 5826 99 954 2879 117? de by () in 1966 everse engineered 1 july 2014 ht is it his rdr trnsmitter/receiver is distnce meter or ltimeter, bsed on the principle. I don't hve n instrument
More informationFirst Round Solutions Grades 4, 5, and 6
First Round Solutions Grdes 4, 5, nd 1) There re four bsic rectngles not mde up of smller ones There re three more rectngles mde up of two smller ones ech, two rectngles mde up of three smller ones ech,
More informationMath Circles Finite Automata Question Sheet 3 (Solutions)
Mth Circles Finite Automt Question Sheet 3 (Solutions) Nickols Rollick nrollick@uwterloo.c Novemer 2, 28 Note: These solutions my give you the nswers to ll the prolems, ut they usully won t tell you how
More informationEnergy Harvesting TwoWay Channels With Decoding and Processing Costs
IEEE TRANSACTIONS ON GREEN COMMUNICATIONS AND NETWORKING, VOL., NO., MARCH 07 3 Energy Hrvesting TwoWy Chnnels With Decoding nd Processing Costs Ahmed Arf, Student Member, IEEE, Abdulrhmn Bknin, Student
More informationEngineering: Elec 3509 Electronics II Instructor: Prof. Calvin Plett,
Engineering: Elec 3509 Electronics II Instructor: Prof. Clvin Plett, emil cp@doe.crleton.c Objective: To study the principles, design nd nlysis of nlog electronic circuits. Description: In this course,
More informationPassive and Active Hybrid Integrated EMI Filters
Pssive nd Active Hybrid Integrted EMI Filters J. Biel, A. Wirthmueller, R. Wespe, M.. Heldwein, J. W. Kolr Power Electronic Systems bortory Swiss Federl Institute of Technology Zurich, Switzerlnd Emil:
More information388 SQUARE BASE TIME DELAY RELAYS
3 SQURE SE TIME DELY RELYS "ON" OR "OFF" DELY FUNCTIONS EXTERNL RESISTNCE DJUSTLE ± 3 % REPETILITY DPDT, 2 MP File No. E52 IEC STNDRDS  ND 5 LOW VOLTGE DIRECTIVE IEC = INTERNTIONL ELECTROTECHNICL COMMISSION
More informationISSCC 2006 / SESSION 21 / ADVANCED CLOCKING, LOGIC AND SIGNALING TECHNIQUES / 21.5
21.5 A 1.1GHz ChrgeRecovery Logic Visvesh Sthe, JungYing Chueh, Mrios Ppefthymiou University of Michign, Ann Aror, MI Boost Logic is chrgerecovery circuit fmily cple of operting t GHzclss frequencies
More informationTo provide data transmission in indoor
Hittite Journl of Science nd Engineering, 2018, 5 (1) 2529 ISSN NUMBER: 21484171 DOI: 10.17350/HJSE19030000074 A New Demodultor For Inverse Pulse Position Modultion Technique Mehmet Sönmez Osmniye Korkut
More informationDP400 / DM350. Inverter. Total Solutions from the Single Source Provider DP400 PULSED MAG  PULSED MIG CO2  MAG  MIG  FCAW
DP400 / DM350 Digitl Controlled DC Inverter Arc Welding Mchines CAT. NO. A446 Simple Opertion Perfect Welds from Arc Strt to End Inverter Totl Solutions from Single Source Provider DP400 PULSED MAG  PULSED
More informationChapter 6. Direct Current Motors
Chter 6 Direct Current Motors DC Motors A DC Motor Arture (rotor) long with the couttor Constructionl Fetures of DC Motors A 4Pole DC Motor Couttor long with the rture on the rotor Slientoles on the
More information9.4. ; 65. A family of curves has polar equations. ; 66. The astronomer Giovanni Cassini ( ) studied the family of curves with polar equations
54 CHAPTER 9 PARAMETRIC EQUATINS AND PLAR CRDINATES 49. r, 5. r sin 3, 5 54 Find the points on the given curve where the tngent line is horizontl or verticl. 5. r 3 cos 5. r e 53. r cos 54. r sin 55. Show
More informationScienceDirect. Adaptive LMS Filter using in Flexible Mechatronics System with Variable Parameter Control
Avilble online t www.sciencedirect.com ScienceDirect Procedi Engineering 69 ( 014 ) 33 33 4th DAAA Interntionl Symposium on Intelligent nufcturing nd Automtion, 013 Adptive S Filter using in Flexible echtronics
More informationCS 135: Computer Architecture I. Boolean Algebra. Basic Logic Gates
Bsic Logic Gtes : Computer Architecture I Boolen Algebr Instructor: Prof. Bhgi Nrhri Dept. of Computer Science Course URL: www.ses.gwu.edu/~bhgiweb/cs35/ Digitl Logic Circuits We sw how we cn build the
More informationPB735 HD DP. Industrial Line. Automatic punch and bind machine for books and calendars
PB735 HD DP Automtic punch nd bind mchine for books nd clendrs A further step for the utomtion of double loop binding. A clever nd flexible mchine ble to punch nd bind in line up to 9/16. Using the best
More informationA Simple Approach to Control the Timeconstant of Microwave Integrators
5 VOL., NO.3, MA, A Simple Approch to Control the Timeconstnt of Microwve Integrtors Dhrmendr K. Updhyy* nd Rkesh K. Singh NSIT, Division of Electronics & Communiction Engineering New Delhi78, In Tel:
More informationThis is a repository copy of Effect of power state on absorption cross section of personal computer components.
This is repository copy of Effect of power stte on bsorption cross section of personl computer components. White Rose Reserch Online URL for this pper: http://eprints.whiterose.c.uk/10547/ Version: Accepted
More informationExponentialHyperbolic Model for Actual Operating Conditions of Three Phase Arc Furnaces
Americn Journl of Applied Sciences 6 (8): 15391547, 2009 ISSN 15469239 2009 Science Publictions ExponentilHyperbolic Model for Actul Operting Conditions of Three Phse Arc Furnces 1 Mhdi Bnejd, 2 RhmtAllh
More informationUltra Low Cost ACCELEROMETER
Chip Scle Pckged Digitl Therml Orienttion Sensing Accelerometer MXC6226XC Document Version D Pge 1 of 13 Fetures Generl Description Fully Integrted Therml Accelerometer X/Y Axis, 8 bit, Accelertion A/D
More informationMixed CMOS PTL Adders
Anis do XXVI Congresso d SBC WCOMPA l I Workshop de Computção e Aplicções 14 20 de julho de 2006 Cmpo Grnde, MS Mixed CMOS PTL Adders Déor Mott, Reginldo d N. Tvres Engenhri em Sistems Digitis Universidde
More informationHighlights. Opto Proximity Switches. Introduction. Opto proximity switches fast and accurate sensing with light and laser PXO100
Opto proximity switches fst nd ccurte sensing with light nd lser Configurtor A configurtor for opticl proximity switches is vilble in the A&D Mll. Bsed on the technicl fetures required, the desired product
More informationSoftware interfacing of servo motor with microcontroller
University of Wollongong Reserch Online Fculty of Engineering nd Informtion Sciences  Ppers: Prt A Fculty of Engineering nd Informtion Sciences 2013 Softwre interfcing of servo motor with microcontroller
More information10.4 AREAS AND LENGTHS IN POLAR COORDINATES
65 CHAPTER PARAMETRIC EQUATINS AND PLAR CRDINATES.4 AREAS AND LENGTHS IN PLAR CRDINATES In this section we develop the formul for the re of region whose oundry is given y polr eqution. We need to use the
More informationDYE SOLUBILITY IN SUPERCRITICAL CARBON DIOXIDE FLUID
THERMAL SCIENCE, Yer 2015, Vol. 19, No. 4, pp. 13111315 1311 DYE SOLUBILITY IN SUPERCRITICAL CARBON DIOXIDE FLUID by Jun YAN, LiJiu ZHENG *, Bing DU, YongFng QIAN, nd Fng YE Lioning Provincil Key Lbortory
More informationEngineer To Engineer Note
Engineer To Engineer Note EE68 Technicl Notes on using Anlog Devices' DSP components nd development tools Contct our technicl support by phone: (800) ANALOGD or emil: dsp.support@nlog.com Or visit our
More informationEngineertoEngineer Note
EngineertoEngineer Note EE236 Technicl notes on using Anlog Devices DSPs, processors nd development tools Contct our technicl support t dsp.support@nlog.com nd t dsptools.support@nlog.com Or visit our
More informationALTERNATIVE WAYS TO ENHANCE PERFORMANCE OF BTB HVDC SYSTEMS DURING POWER DISTURBANCES. Pretty Mary Tom 1, Anu Punnen 2.
ALTERNATIVE WAYS TO ENHANCE PERFORMANCE OF BTB HVDC SYSTEMS DURING POWER DISTURBANCES Pretty Mry Tom, Anu Punnen Dept.of Electricl n Electronics Engg. Sint Gits College of Engineering,Pthmuttm,Kerl,Ini
More informationDSPbased PLLcontrolled khz 20 kw highfrequency induction heating system for surface hardening and welding applications
DSPsed PLLcontrolled 5 1 khz 2 kw highfrequency induction heting system for surfce hrdening nd welding pplictions N.S. Byındır, O. K.ukrer nd M. Ykup Astrct: A digitl signl processor (DSP)sed phselocked
More informationDirect Current Circuits
8 Direct Current Circuits CHAPTE OUTLNE 8 Electromotive Force 8 esistors in Series nd Prllel 8 Kirchho s ules 84 C Circuits 85 Electricl Meters 86 Household Wiring nd Electricl Sety ANSWES TO QUESTONS
More information