A Control Strategy for Photovoltaic-Solid Polymer Electrolysis System Based on Surface Temperature of PV Panel

Size: px
Start display at page:

Download "A Control Strategy for Photovoltaic-Solid Polymer Electrolysis System Based on Surface Temperature of PV Panel"

Transcription

1 Amrican Journal of Applid Scincs 5 (7): 5-, ISSN Scinc Publications Corrsponding Author: A Control Stratgy for Photovoltaic-Solid Polymr Elctrolysis Systm Basd on Surfac Tmpratur of PV Panl 1 Riza Muhida, 1 Wahyudi, Rifki Muhida, 3 Ahmad Unggul Priantoro 1 Dpartmnt of Mchatronics Enginring Dpartmnt of Scinc in Enginring 3 Dpartmnt of Elctrical and Computr Enginring Faculty of Enginring. Intrnational Islamic Univrsity Malaysia Jalan Gombak, 53, Kuala Lumpur, Malaysia Abstract: Procsss to produc hydrogn from solar photovoltaic powrd watr lctrolysis using solid polymr lctrolysis ar rportd. An altrnativ control of maximum powr point tracking mthod basd on analysis of PV panl s surfac Tmpratur for th PV-SPE systm was dsignd and implmntd. From this analysis an optimal voltag of PV can b obtaind and was ralizd as a rfrnc voltag of Dc-DC convrtr. By maintnanc th output voltag of PV using th rfrnc voltag control, th output PV can b optimizd at its MPP opration. Th MPPT prformanc and hydrogn production prformanc of this mthod hav bn valuatd and discussd basd on th rsults of th xprimnt. Kywords: Photovoltaic, hydrogn nrgy, Dc-dc convrtr, solid polymr lctrolysis (SPE) INTRODUCTION Photovoltaic hydrogn nrgy systm is on of th candidats for th nrgy altrnativs to solv th incrasing nvironmntal and nrgy problms. PVsolid polymr lctrolysis is on of th mthods to produc hydrogn from solar photovoltaic powrd watr lctrolysis. Solar photovoltaic powrd watr lctrolysis is highly possibl, sinc th solar nrgy and watr ar availabl on th larg scal. PV-hydrogn nrgy systm as on of mthod to rduc th global warming and substitut th ful of fossil cll. Thrfor, hydrogn producd by this systm can b usd to rplac th usag of oil and natural gas for transportation, hating and powr utilitis. Sinc th PV-hydrogn nrgy systm is xpnsiv to build, it should b opratd at thir maximum output powr lvls. Th PV output fluctuats with solar irradiation lvl, ambint tmpratur and load currnt, thn in dsigning th PV-SPE systm th ffct of ths thr factors must b Considrd [1]. In this study, an altrnativ control for maximum powr point tracking mthod applid to th PV-SPE systm is dsignd and is implmntd. An altrnativ control of maximum powr point tracking mthod basd on analysis of PV panl s surfac Tmpratur for th PV-SPE systm was dsignd and implmntd. From this analysis an optimal voltag of PV can b obtaind and was ralizd as a rfrnc voltag of Dc- DC convrtr. By maintnanc th output voltag of PV using th rfrnc voltag control, th output PV can b optimizd at its MPP opration. Th MPPT prformanc and hydrogn production prformanc of this mthod hav bn valuatd and discussd basd on th rsults of th xprimnt. SOLID POLYMER ELECTROLYSIS Th rsarch and dvlopmnt of solid polymr lctrolyt bgan whn Wright found ion conductivity in a PEO-alkalin mtal ion complx in 1975 [1]. Bcaus of th favorabl powr dnsity, Solid Polymr Elctrolysis is a candidat for high fficincy, pollution fr and othrs thir potntial applications in battris, ful clls, snsors and othr lctrochmical dvics. In this chaptr, th lctrical charactristics of Solid Polymr Elctrolysis and th ffcts of th its lctrical charactristics on th hydrogn production will b rportd. Riza Muhida, Dpartmnt of Mchatronics Enginring, Faculty of Enginring. Intrnational Islamic Univrsity Malaysia, Jalan Gombak, 53, Kuala Lumpur, Malaysia, Tl: , Fax:

2 Am. J. Applid Sci., 5 (7): 5-, SPE charactristics: SPE watr lctrolysis is on of th ways of producing hydrogn with comparativly high lvl of fficincy and compact quipmnt. Th SPE is composd of a mmbran, cathod and anod as shown in Fig. 1 [,3], and spcification of a unit cll prototyp of SPE for laboratory scal xprimnt dscribd in Tabl 1. Th SPE lctrolysis producs hydrogn by providing pur watr to on sid of polymr ion xchang film, which is put btwn anod and cathod. Th lctrochmical convrsions at th anod and cathod of SPE ar as follows: V 3*T 5*T*ln(T) *T o = η c as an xcss voltag at th cathod sid with th valu varying from.5 1 [V] at a cll currnt dnsity of 1[A/cm ]. η a is an xcss voltag at th anod sid with a maximum valu of.3[v] at cll currnt dnsity 1 [A/cm ]. R is th lctrical rsistanc of SPE and scrn and that mployd for th xprimnt has a valu of.37 [Ω]. I is th currnt that flows through th SPE. (3) + 1 H O H + O + + H + H (Cathod procss) (Anod procss) (1).5. SPE Voltag (V) Tmpratur of pur watr 9 o C Tmpratur of pur watr 6 o C Tmpratur of pur watr 3 o C Currnt (A) Fig. : V-I SPE Charactristics with fd watr tmpratur as paramtr. [] 4 Fig. 1: Diagram of Solid Polymr Elctrolysis Tabl 1: spcification of a unit cll prototyp of SPE for laboratory scal xprimnt Oprating Tmpratur Up to 9 [ o C] Wight of main part 1.7 [Kg] Effctiv ara 5 [cm ] Maximum lctrolyt 5 [A] currnt Elctrolytic voltag [V] Convrsion fficincy 6 [%] Gnratd H Tmpratur of pur watr 9 o C Tmpratur of pur watr 6 o C Tmpratur of pur watr 3 o C Currnt Cll (A) Fig. 3: Effct of currnt against th production rat of hydrogn. [] Th V-I quation of a SPE cll is givn by th following quation [3]. V = V + + IR () o c a + Whr V is SPE cll voltag, V o is th thortical dissociation voltag dpndnt on absolut tmpratur T [Klvin] as shown blow. [3] 6 Bcaus SPE producs hydrogn by xtracting watr as shown at Eq. (1), and th V-I output charactristics of SPE dpnds on watr tmpratur as shown in Eq. () and (3). Th xprimntal rsults illustratd in Fig., with chang th SPE cll tmpratur at 3, 6 and 9 o C w found th rlation btwn lctrolysis voltags was masurd at various currnts.

3 As shown in Fig. 3. Th rlation btwn th production rat of hydrogn was masurd at various currnt and undr th SPE cll tmpratur at 3, 6 and 9 o C. From th figur w can conclud that th production rat of hydrogn is proportional with th SPE currnt and th changing of th watr tmpratur of SPE not so changs th production rat of hydrogn. Effct of powr input against th production rat of hydrogn: As shown in Fig. 4. Th rlation btwn th production rat of hydrogn was masurd at various powr input and undr th SPE cll tmpratur from 3-6 o C. From th figur w can conclud that th production rat of hydrogn is proportional with th SPE powr input. Production rat of H 6 4 Tmpratur of pur watr 9 o C Tmpratur of pur watr 6 o C Tmpratur of pur watr 3 o C Powr Input (W) Fig. 4: Effct of powr input against th production rat of hydrogn [] PV-SPE MISMATCHING POINT Th systm dsignr aims to xtract th maximum achivabl lctrical powr output at all insolation lvls to nsur fficincy of th systm, spcially considring th high cost associatd with th PV panl and to ovrcom th mismatch btwn th PV panl and SPE. An important dsign considration is th match btwn th I-V charactristics of th PV panl and th SPE. If th SPE is connctd dirctly to th PV panl it impossibl to oprat on th MPP of PV panl du to th mismatch. Figur 5 shows a simplifid mismatch point btwn PV and SPE. Th masurd prformanc of PV and SPE at insolation. kw/m and surfac PV tmpratur of 3 o C and th tmpratur of SPE watr 6 o C, th SPE cll voltag rmain almost constant for all rang of voltags on th PV panl. Whn PV and SPE ar connctd dirctly th mismatch btwn th PV panl and SPE occurs, that is th oprating point Am. J. Applid Sci., 5 (7): 5-, 7 (point A) is at a lowr voltag than th maximum powr voltag (point P). This allows for voltag drops in th circuitry and th othr diminutions in prformanc as mismatch losss. This loss can b calculatd using th curv in Fig. 4. In this cas, oprating voltag will b.15 V and powr output will b 4 W against th maximum powr output of PV panl 7. W. Th loss of availabl PV powr output is 4 %. Voltag (V) PV Powr V-I Panl at. kw/m, 3 o C P max V-I SPE at Tmpratur Watr 6 o C Currnt (A) Fig.5: PV-SPE mismatching point As mntiond abov, without a matching point btwn PV panl and SPE cll, th systm fficincy can fall to an xtrmly low valu, which maks th systm unconomical. To ovrcom this two options ar availabl: Th first includ th carful slction of th SPE that matchs th maximum powr point of th PV panl as closly as possibl. In this situation th voltag of th SPE cll can b incoopratd into th PV panl. Howvr this maks th installation of this spcial SPE difficult. In othr obstacl, as indicatd in th prvious papr [4], is th mismatch btwn th ratd PV panl and actual powr, which prhaps rsult from th lowr insolation lvls and highr cll tmpratur. This is bcaus th nvironmntal changs caus th maximum powr point to fluctuat, making it difficult to obtain th matching valu btwn th actual MPPT of th PV panl powr and th SPE paramtrs. Du to this fluctuation it is of grat intrst to us th maximum powr-point tracking (MPPT), which is an lctronics control dvic that continuously matchs th output charactristic of th PV panl to th input charactristics of th SPE. As a rsult of this matching procss, th PV panl is forcd to dlivr maximum powr to th SPE at all tims. A Powr (W)

4 Am. J. Applid Sci., 5 (7): 5-, MPP USING REFERENCE VOLTAGE CONTROL TECHNIQUE Th prformanc of PV-SPE systm can b nhancd by tracking th maximum powr point of th PV panl and thn using a dc-dc convrtr to match th SPE voltag. During this procss, th stp down dc-dc convrtr is usd to driv a low voltag load from a high voltag PV panl. For this convrtr th output (SPE) voltag is always lowr than th input PV panl. Th powr flow from th PV panl to th SPE is controlld by mans of th on/off duty cycl of th switch. Th charactristic quation for th p-n junction subjct to insulation ar as follows: [5] { xp[ V / ] 1} J = J J (4) s o Whr J = currnt dnsity flowing into load. (A/m ) J s = short-circuit currnt dnsity. (A/m ) J o = dark (saturation) currnt dnsity (A/m ) = charg on lctron (1.6* -19 C) V = voltag across cll (V) k = Boltzmann s constant (1.3* -3 J/K) T = absolut tmpratur of dvic( o K) Th maximum voltag across th cll would b achivd undr opn-circuit condition, or J =, that is: V oc J s = ( )ln( + 1) Jo (5) If paramtrs of ach valu of and k ar substitutd in q. (9), thn q. (9) will b: 1 4 V = V 3.44 * T () mpp OC * From q. () w can find an optimal voltag of PV basd on valu of surfac tmpratur. And thn th optimal voltag was ralizd as a rfrnc voltag for DC-DC convrtr. Th prototyp aformntiond MPP tchniqu for PV-SPE Systm using rfrnc voltag controllr schma wr built and tstd. A modul of PV panl is usd in th systm and as load is a SPE cll, Fig. 6 shows schmatic diagram of this tchniqu. Fig. 6: Proposd total systm This mthod uss proportional intgrator controllr to control th duty factor of switch of puls-width modulator (PWM) DC-DC Convrtr. Whr V oc = opn circuit voltag of cll. Th output powr of th cll is: V P = JV = J J xp( ) (6) [ ] { }V s o 1 Th maximum powr point (MPP) is obtaind by taking th drivativ of P with rspct to V and stting th rsult qual to zro. This yild an implicit quation for th cll voltag at maximum powr: (7) V xp[ mpp Vmpp J ][1 + ] = 1+ J s o A dscription of th prototyp is as follows: a. A SPE plant with its spcification as shown in Tabl 1. b. A PV panl with its spcification as shown in Tabl. c. A proportional intgrator controllr consists of oprational amplifir, capacitor and variabl rsistor. d. Th comparator and sawtooth voltag gnrator us IC TL494 as th PWM controllr. From q. (5) and (7) w hav Tabl : Spcification of a PV panl usd in th Vmmp V () mmp V OC = ln( xp( )(1 )) + xprimnt at insolation AM 1 and tmpratur 5 o C. Using Maclaurin sris to rduc ths quations, thn Typ CP-4516 (Sanyo) w gt an approaching quation Opn circuit voltag (V OC ) 1 [V] 1 (9) Short circuit currnt (I SC ) 1. [A] Vmpp = VOC 4 Maximum powr 3 [W] Ara.4 [m ]

5 Th principal work of this controllr is that a rfrnc voltag (V rf ) was gnratd by tmpratur snsor (thrmocoupl) and oprational amplifir circuit. By us of PI controllr an rror voltag proportional to V rf V PV output is rsultd and thn this rror voltag is intgratd and transmittd to th comparator. Th transmittd signal is compard with sawtooth voltag. Thrfor th rsult of comparator signal is usd by IC TL 494 to produc a PWM signal to control th duty factor of switching frquncy to driv MOSFET. By varying th duty factor of th switch, I PV and V PV can b controlld. If th rror voltag is not zro, th signal to comparator will continuously incras and hnc th duty factor will chang in such a way to rduc th rror voltag to bcom zro. Sinc th voltag rfrnc always changs dpnding on th surfac tmpratur of PV as wll as th output voltag of PV which fluctuats with solar radiation. As th consqunc th controllr will continu to track to gt an qual valu btwn th voltag rfrnc and th output voltag of PV. (kw/m ) (Watt) (Watt) ( o C) (a) (b) (c) (d) () Tim (s) Am. J. Applid Sci., 5 (7): 5-, Insolation Powr for SPE Prod. Rat of Hydrogn Output Powr of PV PV's Surfac Tmpratur Fig. 7: Opration rsult of a prototyp PV-SPE systm RESULTS AND DISCUSSION Figur 7 shows a 13 minuts opration of th PV- SPE systm using MPP controllr. A data acquisition systm was usd to masur th input voltag and currnt, cll tmpratur, insolation and th production rat of hydrogn. Th xprimnt show that th powr of th PV panl can succssfully dlivrd th maximum powr to th SPE at all tims. Th comparison rsult of a xprimnt btwn using MPPT and without MPPT is illustratd in Fig.. W also did calculation to show numrical comparison as listd in Tabl 3. 9 (W) ( o C) (kw/m ) PV Powr Prod. rat of H Tmpratur Insolation Tim (s) Fig. : Comparison rsult btwn using convrtr and without convrtr Tabl 3: Comparison of th xprimntal rsult btwn using MPP and without MPP Itms Rsults Avrag Insolation.35 kw/m Avrag Surfac tmpratur of PV panl PV Powr using convrtr PV Powr without convrtr Advantag Powr using Convrtr Production Rat of H using convrtr Production rat of H without convrtr Advantag of Prod. of H using convrtr 35 o C 13.3 W 4. W 6% % Basd on Tabl 3 shows that using MPP tchniqu was succssful for incrasing mor th output of th production rat of hydrogn. CONCLUSION Sinc th PV-hydrogn nrgy systm is xpnsiv to build it should b opratd at th maximum output powr lvls. Howvr, th output of a PV gnrating systm is not systmically trackd and influncd by various factors such as solar insolation, solar cll's tmpratur and th connctd load condition (mismatching point). Thrfor, in dsigning th PV- SPE systm th ffct of ths thr factors should b considrd. Howvr, to ovrcom th advrs ffcts of systm and to oprat th PV panl at maximum powr point (MPP) vry instant, a MPPT is ssntial. Th production systm of hydrogn using th maximum powr Point Tracking basd on PV s surfac

6 Am. J. Applid Sci., 5 (7): 5-, tmpratur has bn proposd in this papr. Th main conclusions rachd in this study ar as follows: 1. Th proposd control mthods basd on th PV surfac tmpratur mthod for PV-SPE systm has bn ralizd and tstd.. Th maximum powr point tracking control schm was succssful for incrasing mor th output of th production rat of hydrogn. REFERENCES 1. Soltrmann O.E. and Da Silva E.P., 19. Comparativ study btwn th hysolar and a hypothtical intrnational projct in Brazil for hydrogn production and xportation (BHP) from photovoltaic nrgy and scondary hydrolctricity combind supply, Int. J. Hydrogn Enrgy 3 (9) (19) K. Torigo, Thrmolctric-hydrogn production systm for CO rcycl, Mastr Thsis, Osaka Univrsity, (In Japans). 3. H. Taknaka, 197. SPE lctrolysis tchnology: Charactristics and Applications, GS Nws Tchnical Rport, Japan Battry, Vol. 46, No. 1, Jun 197. (In Japans) 4. JHR Enslin and DB Snyman, 199. Simplifid fd-forward control of th maximum powr point in PV installations, IEEE IECON RECORD, San Digo, pp M.A Grn, 19. Solar Cll oprating principls, tchnology and systm application, prntic-hall Inc., Englwood Cliffs, NJ.

MEASURING HEAT FLUX FROM A COMPONENT ON A PCB

MEASURING HEAT FLUX FROM A COMPONENT ON A PCB MEASURING HEAT FLUX FROM A COMPONENT ON A PCB INTRODUCTION Elctronic circuit boards consist of componnts which gnrats substantial amounts of hat during thir opration. A clar knowldg of th lvl of hat dissipation

More information

Status of LAr TPC R&D (2) 2014/Dec./23 Neutrino frontier workshop 2014 Ryosuke Sasaki (Iwate U.)

Status of LAr TPC R&D (2) 2014/Dec./23 Neutrino frontier workshop 2014 Ryosuke Sasaki (Iwate U.) Status of LAr TPC R&D (2) 214/Dc./23 Nutrino frontir workshop 214 Ryosuk Sasaki (Iwat U.) Tabl of Contnts Dvlopmnt of gnrating lctric fild in LAr TPC Introduction - Gnrating strong lctric fild is on of

More information

Definition1: The ratio of the radiation intensity in a given direction from the antenna to the radiation intensity averaged over all directions.

Definition1: The ratio of the radiation intensity in a given direction from the antenna to the radiation intensity averaged over all directions. Dirctivity or Dirctiv Gain. 1 Dfinition1: Dirctivity Th ratio of th radiation intnsity in a givn dirction from th antnna to th radiation intnsity avragd ovr all dirctions. Dfinition2: Th avg U is obtaind

More information

Exam 1. It is important that you clearly show your work and mark the final answer clearly, closed book, closed notes, no calculator.

Exam 1. It is important that you clearly show your work and mark the final answer clearly, closed book, closed notes, no calculator. Exam N a m : _ S O L U T I O N P U I D : I n s t r u c t i o n s : It is important that you clarly show your work and mark th final answr clarly, closd book, closd nots, no calculator. T i m : h o u r

More information

Voltage, Current, Power, Series Resistance, Parallel Resistance, and Diodes

Voltage, Current, Power, Series Resistance, Parallel Resistance, and Diodes Lctur 1. oltag, Currnt, Powr, Sris sistanc, Paralll sistanc, and Diods Whn you start to dal with lctronics thr ar thr main concpts to start with: Nam Symbol Unit oltag volt Currnt ampr Powr W watt oltag

More information

4037 ADDITIONAL MATHEMATICS

4037 ADDITIONAL MATHEMATICS CAMBRIDGE INTERNATIONAL EXAMINATIONS GCE Ordinary Lvl MARK SCHEME for th Octobr/Novmbr 0 sris 40 ADDITIONAL MATHEMATICS 40/ Papr, maimum raw mark 80 This mark schm is publishd as an aid to tachrs and candidats,

More information

Design Guidelines for Quartz Crystal Oscillators. R 1 Motional Resistance L 1 Motional Inductance C 1 Motional Capacitance C 0 Shunt Capacitance

Design Guidelines for Quartz Crystal Oscillators. R 1 Motional Resistance L 1 Motional Inductance C 1 Motional Capacitance C 0 Shunt Capacitance TECHNICAL NTE 30 Dsign Guidlins for Quartz Crystal scillators Introduction A CMS Pirc oscillator circuit is wll known and is widly usd for its xcllnt frquncy stability and th wid rang of frquncis ovr which

More information

Evaluating Reliability Systems by Using Weibull & New Weibull Extension Distributions Mushtak A.K. Shiker

Evaluating Reliability Systems by Using Weibull & New Weibull Extension Distributions Mushtak A.K. Shiker Evaluating Rliability Systms by Using Wibull & Nw Wibull Extnsion Distributions Mushtak A.K. Shikr مشتاق عبذ الغني شخير Univrsity of Babylon, Collg of Education (Ibn Hayan), Dpt. of Mathmatics Abstract

More information

22/ Breakdown of the Born-Oppenheimer approximation. Selection rules for rotational-vibrational transitions. P, R branches.

22/ Breakdown of the Born-Oppenheimer approximation. Selection rules for rotational-vibrational transitions. P, R branches. Subjct Chmistry Papr No and Titl Modul No and Titl Modul Tag 8/ Physical Spctroscopy / Brakdown of th Born-Oppnhimr approximation. Slction ruls for rotational-vibrational transitions. P, R branchs. CHE_P8_M

More information

The influence of electron trap on photoelectron decay behavior in silver halide

The influence of electron trap on photoelectron decay behavior in silver halide Th influnc of lctron trap on photolctron dcay bhavior in silvr halid Rongjuan Liu, Xiaowi Li 1, Xiaodong Tian, Shaopng Yang and Guangshng Fu Collg of Physics Scinc and Tchnology, Hbi Univrsity, Baoding,

More information

The following information relates to Questions 1 to 4:

The following information relates to Questions 1 to 4: Th following information rlats to Qustions 1 to 4: QUESTIN 1 Th lctrolyt usd in this ful cll is D watr carbonat ions hydrogn ions hydroxid ions QUESTIN 2 Th product formd in th ful cll is D hydrogn gas

More information

Determination of Vibrational and Electronic Parameters From an Electronic Spectrum of I 2 and a Birge-Sponer Plot

Determination of Vibrational and Electronic Parameters From an Electronic Spectrum of I 2 and a Birge-Sponer Plot 5 J. Phys. Chm G Dtrmination of Vibrational and Elctronic Paramtrs From an Elctronic Spctrum of I 2 and a Birg-Sponr Plot 1 15 2 25 3 35 4 45 Dpartmnt of Chmistry, Gustavus Adolphus Collg. 8 Wst Collg

More information

A Propagating Wave Packet Group Velocity Dispersion

A Propagating Wave Packet Group Velocity Dispersion Lctur 8 Phys 375 A Propagating Wav Packt Group Vlocity Disprsion Ovrviw and Motivation: In th last lctur w lookd at a localizd solution t) to th 1D fr-particl Schrödingr quation (SE) that corrsponds to

More information

Title: Vibrational structure of electronic transition

Title: Vibrational structure of electronic transition Titl: Vibrational structur of lctronic transition Pag- Th band spctrum sn in th Ultra-Violt (UV) and visibl (VIS) rgions of th lctromagntic spctrum can not intrprtd as vibrational and rotational spctrum

More information

Finite Element Model of a Ferroelectric

Finite Element Model of a Ferroelectric Excrpt from th Procdings of th COMSOL Confrnc 200 Paris Finit Elmnt Modl of a Frrolctric A. Lópz, A. D Andrés and P. Ramos * GRIFO. Dpartamnto d Elctrónica, Univrsidad d Alcalá. Alcalá d Hnars. Madrid,

More information

Seebeck and Peltier Effects

Seebeck and Peltier Effects Sbck and Pltir Effcts Introduction Thrmal nrgy is usually a byproduct of othr forms of nrgy such as chmical nrgy, mchanical nrgy, and lctrical nrgy. Th procss in which lctrical nrgy is transformd into

More information

Fuzzy logic controller for the maximum power point tracking in photovoltaic system

Fuzzy logic controller for the maximum power point tracking in photovoltaic system Intrnational Journal of Computr Applications (975 8887) Fuzzy logic controllr for th maximum powr point tracking in photovoltaic systm G. Balasubramanian Assistant Profssor Dpartmnt of Elctrical Enginring

More information

Homotopy perturbation technique

Homotopy perturbation technique Comput. Mthods Appl. Mch. Engrg. 178 (1999) 257±262 www.lsvir.com/locat/cma Homotopy prturbation tchniqu Ji-Huan H 1 Shanghai Univrsity, Shanghai Institut of Applid Mathmatics and Mchanics, Shanghai 272,

More information

NEW APPLICATIONS OF THE ABEL-LIOUVILLE FORMULA

NEW APPLICATIONS OF THE ABEL-LIOUVILLE FORMULA NE APPLICATIONS OF THE ABEL-LIOUVILLE FORMULA Mirca I CÎRNU Ph Dp o Mathmatics III Faculty o Applid Scincs Univrsity Polithnica o Bucharst Cirnumirca @yahoocom Abstract In a rcnt papr [] 5 th indinit intgrals

More information

WASTE HEAT RECOVERY USING DIRECT THERMODYNAMIC CYCLE

WASTE HEAT RECOVERY USING DIRECT THERMODYNAMIC CYCLE Bulltin of th Transilvania Univrsity of Braşov Vol. 8 (57) No. 2-2015 Sris I: Enginring Scincs WASTE HEAT RECOVERY USING DIRECT THERMODYNAMIC CYCLE I. COSTIUC 1 L. COSTIUC 2 S. RADU 3 Abstract: For wast

More information

Full Waveform Inversion Using an Energy-Based Objective Function with Efficient Calculation of the Gradient

Full Waveform Inversion Using an Energy-Based Objective Function with Efficient Calculation of the Gradient Full Wavform Invrsion Using an Enrgy-Basd Objctiv Function with Efficint Calculation of th Gradint Itm yp Confrnc Papr Authors Choi, Yun Sok; Alkhalifah, ariq Ali Citation Choi Y, Alkhalifah (217) Full

More information

MCE503: Modeling and Simulation of Mechatronic Systems Discussion on Bond Graph Sign Conventions for Electrical Systems

MCE503: Modeling and Simulation of Mechatronic Systems Discussion on Bond Graph Sign Conventions for Electrical Systems MCE503: Modling and Simulation o Mchatronic Systms Discussion on Bond Graph Sign Convntions or Elctrical Systms Hanz ichtr, PhD Clvland Stat Univrsity, Dpt o Mchanical Enginring 1 Basic Assumption In a

More information

Overcoming the shrink-and-swell effect in water level control strategy on industrial boiler-drum

Overcoming the shrink-and-swell effect in water level control strategy on industrial boiler-drum Standard Scintific Rsarch and Essays Vol1 (1): 019-024, Fbruary 2013 http://www.standrsjournals.org/journals/ssre Rsarch Articl Ovrcoming th shrink-and-swll ffct in watr lvl control stratgy on industrial

More information

Characteristics of Gliding Arc Discharge Plasma

Characteristics of Gliding Arc Discharge Plasma Caractristics of Gliding Arc Discarg Plasma Lin Li( ), Wu Bin(, Yang Ci(, Wu Cngkang ( Institut of Mcanics, Cins Acadmy of Scincs, Bijing 8, Cina E-mail: linli@imc.ac.cn Abstract A gliding arc discarg

More information

Rotor Stationary Control Analysis Based on Coupling KdV Equation Finite Steady Analysis Liu Dalong1,a, Xu Lijuan2,a

Rotor Stationary Control Analysis Based on Coupling KdV Equation Finite Steady Analysis Liu Dalong1,a, Xu Lijuan2,a 204 Intrnational Confrnc on Computr Scinc and Elctronic Tchnology (ICCSET 204) Rotor Stationary Control Analysis Basd on Coupling KdV Equation Finit Stady Analysis Liu Dalong,a, Xu Lijuan2,a Dpartmnt of

More information

Two Products Manufacturer s Production Decisions with Carbon Constraint

Two Products Manufacturer s Production Decisions with Carbon Constraint Managmnt Scinc and Enginring Vol 7 No 3 pp 3-34 DOI:3968/jms9335X374 ISSN 93-34 [Print] ISSN 93-35X [Onlin] wwwcscanadant wwwcscanadaorg Two Products Manufacturr s Production Dcisions with Carbon Constraint

More information

Elements of Statistical Thermodynamics

Elements of Statistical Thermodynamics 24 Elmnts of Statistical Thrmodynamics Statistical thrmodynamics is a branch of knowldg that has its own postulats and tchniqus. W do not attmpt to giv hr vn an introduction to th fild. In this chaptr,

More information

SIMPLE ONE-DIMENSIONAL CALCULATION OF HALL THRUSTER FLOWFIELDS

SIMPLE ONE-DIMENSIONAL CALCULATION OF HALL THRUSTER FLOWFIELDS SIMPLE ONE-DIMENSIONAL CALCULATION OF HALL THRUSTER FLOWFIELDS Hirokazu Tahara, Takashi Fujioka, Atsushi Shirasakiand Takao Yoshikawa Graduat School of Enginring Scinc, Osaka Univrsity 1-3, Machikanyama,

More information

The pn junction: 2 Current vs Voltage (IV) characteristics

The pn junction: 2 Current vs Voltage (IV) characteristics Th pn junction: Currnt vs Voltag (V) charactristics Considr a pn junction in quilibrium with no applid xtrnal voltag: o th V E F E F V p-typ Dpltion rgion n-typ Elctron movmnt across th junction: 1. n

More information

NARAYANA I I T / P M T A C A D E M Y. C o m m o n P r a c t i c e T e s t 1 6 XII STD BATCHES [CF] Date: PHYSIS HEMISTRY MTHEMTIS

NARAYANA I I T / P M T A C A D E M Y. C o m m o n P r a c t i c e T e s t 1 6 XII STD BATCHES [CF] Date: PHYSIS HEMISTRY MTHEMTIS . (D). (A). (D). (D) 5. (B) 6. (A) 7. (A) 8. (A) 9. (B). (A). (D). (B). (B). (C) 5. (D) NARAYANA I I T / P M T A C A D E M Y C o m m o n P r a c t i c T s t 6 XII STD BATCHES [CF] Dat: 8.8.6 ANSWER PHYSIS

More information

Search sequence databases 3 10/25/2016

Search sequence databases 3 10/25/2016 Sarch squnc databass 3 10/25/2016 Etrm valu distribution Ø Suppos X is a random variabl with probability dnsity function p(, w sampl a larg numbr S of indpndnt valus of X from this distribution for an

More information

CO-ORDINATION OF FAST NUMERICAL RELAYS AND CURRENT TRANSFORMERS OVERDIMENSIONING FACTORS AND INFLUENCING PARAMETERS

CO-ORDINATION OF FAST NUMERICAL RELAYS AND CURRENT TRANSFORMERS OVERDIMENSIONING FACTORS AND INFLUENCING PARAMETERS CO-ORDINATION OF FAST NUMERICAL RELAYS AND CURRENT TRANSFORMERS OVERDIMENSIONING FACTORS AND INFLUENCING PARAMETERS Stig Holst ABB Automation Products Swdn Bapuji S Palki ABB Utilitis India This papr rports

More information

Electrochemical Energy Systems Spring 2014 MIT, M. Z. Bazant. Midterm Exam

Electrochemical Energy Systems Spring 2014 MIT, M. Z. Bazant. Midterm Exam 10.66 Elctrochmical Enrgy Systms Spring 014 MIT, M. Z. Bazant Midtrm Exam Instructions. This is a tak-hom, opn-book xam du in Lctur. Lat xams will not b accptd. You may consult any books, handouts, or

More information

Application of Vague Soft Sets in students evaluation

Application of Vague Soft Sets in students evaluation Availabl onlin at www.plagiarsarchlibrary.com Advancs in Applid Scinc Rsarch, 0, (6):48-43 ISSN: 0976-860 CODEN (USA): AASRFC Application of Vagu Soft Sts in studnts valuation B. Chtia*and P. K. Das Dpartmnt

More information

Electronic Circuits. BJT Amplifiers. Manar Mohaisen Office: F208 Department of EECE

Electronic Circuits. BJT Amplifiers. Manar Mohaisen Office: F208   Department of EECE Elctronic Circuits BJT mplifirs Manar Mohaisn Offic: F208 Email: manar.subhi@kut.ac.kr Dpartmnt of EECE viw of th Prcdnt Lctur Explain th DC Oprating Point Explain th Voltag-dividr Bias Othr Bias Mthods

More information

Sliding Mode Flow Rate Observer Design

Sliding Mode Flow Rate Observer Design Sliding Mod Flow Rat Obsrvr Dsign Song Liu and Bin Yao School of Mchanical Enginring, Purdu Univrsity, Wst Lafaytt, IN797, USA liu(byao)@purdudu Abstract Dynamic flow rat information is ndd in a lot of

More information

Pipe flow friction, small vs. big pipes

Pipe flow friction, small vs. big pipes Friction actor (t/0 t o pip) Friction small vs larg pips J. Chaurtt May 016 It is an intrsting act that riction is highr in small pips than largr pips or th sam vlocity o low and th sam lngth. Friction

More information

Full Order Observer Controller Design for Two Interacting Tank System Based on State Space Approach

Full Order Observer Controller Design for Two Interacting Tank System Based on State Space Approach Intrnational Journal of Application or Innovation in Enginring & Managmnt (IJAIEM) Wb Sit: www.ijaim.org Email: ditor@ijaim.org Volum 6, Issu 7, July 07 ISSN 39-4847 Full Ordr Obsrvr Controllr Dsign for

More information

The Control of Electromagnetic Filter by Using FPGA Based PI Type Fuzzy Controller

The Control of Electromagnetic Filter by Using FPGA Based PI Type Fuzzy Controller Th Control of Elctromagntic Filtr by Using FPGA Basd PI Typ Fuzzy Controllr Ilkr Ali OZKAN a, Ismail SARITAS b, Saadtdin HERDEM b a Dpartmnt of Computr Enginring, b Dpartmnt of Elctrical and Elctronics

More information

IVE(TY) Department of Engineering E&T2520 Electrical Machines 1 Miscellaneous Exercises

IVE(TY) Department of Engineering E&T2520 Electrical Machines 1 Miscellaneous Exercises TRANSFORMER Q1 IE(TY) Dpartmnt of Enginring E&T50 Elctrical Machins 1 Miscllanous Exrciss Q Q3 A singl phas, 5 ka, 0/440, 60 Hz transformr gav th following tst rsults. Opn circuit tst (440 sid opn): 0

More information

ECE507 - Plasma Physics and Applications

ECE507 - Plasma Physics and Applications ECE507 - Plasma Physics and Applications Lctur 7 Prof. Jorg Rocca and Dr. Frnando Tomasl Dpartmnt of Elctrical and Computr Enginring Collisional and radiativ procsss All particls in a plasma intract with

More information

CE 530 Molecular Simulation

CE 530 Molecular Simulation CE 53 Molcular Simulation Lctur 8 Fr-nrgy calculations David A. Kofk Dpartmnt of Chmical Enginring SUNY Buffalo kofk@ng.buffalo.du 2 Fr-Enrgy Calculations Uss of fr nrgy Phas quilibria Raction quilibria

More information

ph People Grade Level: basic Duration: minutes Setting: classroom or field site

ph People Grade Level: basic Duration: minutes Setting: classroom or field site ph Popl Adaptd from: Whr Ar th Frogs? in Projct WET: Curriculum & Activity Guid. Bozman: Th Watrcours and th Council for Environmntal Education, 1995. ph Grad Lvl: basic Duration: 10 15 minuts Stting:

More information

Ch. 24 Molecular Reaction Dynamics 1. Collision Theory

Ch. 24 Molecular Reaction Dynamics 1. Collision Theory Ch. 4 Molcular Raction Dynamics 1. Collision Thory Lctur 16. Diffusion-Controlld Raction 3. Th Matrial Balanc Equation 4. Transition Stat Thory: Th Eyring Equation 5. Transition Stat Thory: Thrmodynamic

More information

Deepak Rajput

Deepak Rajput Q Prov: (a than an infinit point lattic is only capabl of showing,, 4, or 6-fold typ rotational symmtry; (b th Wiss zon law, i.. if [uvw] is a zon axis and (hkl is a fac in th zon, thn hu + kv + lw ; (c

More information

MCB137: Physical Biology of the Cell Spring 2017 Homework 6: Ligand binding and the MWC model of allostery (Due 3/23/17)

MCB137: Physical Biology of the Cell Spring 2017 Homework 6: Ligand binding and the MWC model of allostery (Due 3/23/17) MCB37: Physical Biology of th Cll Spring 207 Homwork 6: Ligand binding and th MWC modl of allostry (Du 3/23/7) Hrnan G. Garcia March 2, 207 Simpl rprssion In class, w drivd a mathmatical modl of how simpl

More information

Procdings of IC-IDC0 ( and (, ( ( and (, and (f ( and (, rspctivly. If two input signals ar compltly qual, phas spctra of two signals ar qual. That is

Procdings of IC-IDC0 ( and (, ( ( and (, and (f ( and (, rspctivly. If two input signals ar compltly qual, phas spctra of two signals ar qual. That is Procdings of IC-IDC0 EFFECTS OF STOCHASTIC PHASE SPECTRUM DIFFERECES O PHASE-OLY CORRELATIO FUCTIOS PART I: STATISTICALLY COSTAT PHASE SPECTRUM DIFFERECES FOR FREQUECY IDICES Shunsu Yamai, Jun Odagiri,

More information

IYPT 2000 Problem No. 3 PLASMA

IYPT 2000 Problem No. 3 PLASMA IYPT 000 Problm No. 3 PLASMA Tam Austria Invstigat th lctrical conducivity of th flam of a candl. Examin th influnc of rlvant paramtrs, in particular, th shap and polarity of th lctrods. Th xprimnts should

More information

AS 5850 Finite Element Analysis

AS 5850 Finite Element Analysis AS 5850 Finit Elmnt Analysis Two-Dimnsional Linar Elasticity Instructor Prof. IIT Madras Equations of Plan Elasticity - 1 displacmnt fild strain- displacmnt rlations (infinitsimal strain) in matrix form

More information

On the Hamiltonian of a Multi-Electron Atom

On the Hamiltonian of a Multi-Electron Atom On th Hamiltonian of a Multi-Elctron Atom Austn Gronr Drxl Univrsity Philadlphia, PA Octobr 29, 2010 1 Introduction In this papr, w will xhibit th procss of achiving th Hamiltonian for an lctron gas. Making

More information

Exam 2 Thursday (7:30-9pm) It will cover material through HW 7, but no material that was on the 1 st exam.

Exam 2 Thursday (7:30-9pm) It will cover material through HW 7, but no material that was on the 1 st exam. Exam 2 Thursday (7:30-9pm) It will covr matrial through HW 7, but no matrial that was on th 1 st xam. What happns if w bash atoms with lctrons? In atomic discharg lamps, lots of lctrons ar givn kintic

More information

Rational Approximation for the one-dimensional Bratu Equation

Rational Approximation for the one-dimensional Bratu Equation Intrnational Journal of Enginring & Tchnology IJET-IJES Vol:3 o:05 5 Rational Approximation for th on-dimnsional Bratu Equation Moustafa Aly Soliman Chmical Enginring Dpartmnt, Th British Univrsity in

More information

u x v x dx u x v x v x u x dx d u x v x u x v x dx u x v x dx Integration by Parts Formula

u x v x dx u x v x v x u x dx d u x v x u x v x dx u x v x dx Integration by Parts Formula 7. Intgration by Parts Each drivativ formula givs ris to a corrsponding intgral formula, as w v sn many tims. Th drivativ product rul yilds a vry usful intgration tchniqu calld intgration by parts. Starting

More information

INFLUENCE OF GROUND SUBSIDENCE IN THE DAMAGE TO MEXICO CITY S PRIMARY WATER SYSTEM DUE TO THE 1985 EARTHQUAKE

INFLUENCE OF GROUND SUBSIDENCE IN THE DAMAGE TO MEXICO CITY S PRIMARY WATER SYSTEM DUE TO THE 1985 EARTHQUAKE 13 th World Confrnc on Earthquak Enginring Vancouvr, B.C., Canada August 1-6, 2004 Papr No. 2165 INFLUENCE OF GROUND SUBSIDENCE IN THE DAMAGE TO MEXICO CITY S PRIMARY WATER SYSTEM DUE TO THE 1985 EARTHQUAKE

More information

The Open Economy in the Short Run

The Open Economy in the Short Run Economics 442 Mnzi D. Chinn Spring 208 Social Scincs 748 Univrsity of Wisconsin-Madison Th Opn Economy in th Short Run This st of nots outlins th IS-LM modl of th opn conomy. First, it covrs an accounting

More information

AerE 344: Undergraduate Aerodynamics and Propulsion Laboratory. Lab Instructions

AerE 344: Undergraduate Aerodynamics and Propulsion Laboratory. Lab Instructions ArE 344: Undrgraduat Arodynamics and ropulsion Laboratory Lab Instructions Lab #08: Visualization of th Shock Wavs in a Suprsonic Jt by using Schlirn tchniqu Instructor: Dr. Hui Hu Dpartmnt of Arospac

More information

Topology Optimization of Suction Muffler for Noise Attenuation

Topology Optimization of Suction Muffler for Noise Attenuation Purdu Univrsity Purdu -Pubs Intrnational Comprssor Enginring Confrnc School of Mchanical Enginring 2012 Topology Optimization of Suction Mufflr for Nois Attnuation Jin Woo L jinwool@ajou.ac.kr Dong Wook

More information

Principles of Humidity Dalton s law

Principles of Humidity Dalton s law Principls of Humidity Dalton s law Air is a mixtur of diffrnt gass. Th main gas componnts ar: Gas componnt volum [%] wight [%] Nitrogn N 2 78,03 75,47 Oxygn O 2 20,99 23,20 Argon Ar 0,93 1,28 Carbon dioxid

More information

Electric (Rocket) Propulsion. EP Overview

Electric (Rocket) Propulsion. EP Overview Elctric (Rockt) Propulsion EP Ovrviw Elctric Propulsion-1 Basics Rockt Propulsion Elmnts Propllant Enrgy Sourc Storag Fd Systm sam in chmical rockts Storag Convrsion Acclrator Elctric Propulsion- 1 Elctric

More information

Estimation of apparent fraction defective: A mathematical approach

Estimation of apparent fraction defective: A mathematical approach Availabl onlin at www.plagiarsarchlibrary.com Plagia Rsarch Library Advancs in Applid Scinc Rsarch, 011, (): 84-89 ISSN: 0976-8610 CODEN (USA): AASRFC Estimation of apparnt fraction dfctiv: A mathmatical

More information

Extraction of Doping Density Distributions from C-V Curves

Extraction of Doping Density Distributions from C-V Curves Extraction of Doping Dnsity Distributions from C-V Curvs Hartmut F.-W. Sadrozinski SCIPP, Univ. California Santa Cruz, Santa Cruz, CA 9564 USA 1. Connction btwn C, N, V Start with Poisson quation d V =

More information

Fourier Transforms and the Wave Equation. Key Mathematics: More Fourier transform theory, especially as applied to solving the wave equation.

Fourier Transforms and the Wave Equation. Key Mathematics: More Fourier transform theory, especially as applied to solving the wave equation. Lur 7 Fourir Transforms and th Wav Euation Ovrviw and Motivation: W first discuss a fw faturs of th Fourir transform (FT), and thn w solv th initial-valu problm for th wav uation using th Fourir transform

More information

Last time. Resistors. Circuits. Question. Quick Quiz. Quick Quiz. ( V c. Which bulb is brighter? A. A B. B. C. Both the same

Last time. Resistors. Circuits. Question. Quick Quiz. Quick Quiz. ( V c. Which bulb is brighter? A. A B. B. C. Both the same Last tim Bgin circuits Rsistors Circuits Today Rsistor circuits Start rsistor-capacitor circuits Physical layout Schmatic layout Tu. Oct. 13, 2009 Physics 208 Lctur 12 1 Tu. Oct. 13, 2009 Physics 208 Lctur

More information

Chemical Physics II. More Stat. Thermo Kinetics Protein Folding...

Chemical Physics II. More Stat. Thermo Kinetics Protein Folding... Chmical Physics II Mor Stat. Thrmo Kintics Protin Folding... http://www.nmc.ctc.com/imags/projct/proj15thumb.jpg http://nuclarwaponarchiv.org/usa/tsts/ukgrabl2.jpg http://www.photolib.noaa.gov/corps/imags/big/corp1417.jpg

More information

2/12/2013. Overview. 12-Power Transmission Text: Conservation of Complex Power. Introduction. Power Transmission-Short Line

2/12/2013. Overview. 12-Power Transmission Text: Conservation of Complex Power. Introduction. Power Transmission-Short Line //03 Ovrviw -owr Transmission Txt: 4.6-4.0 ECEGR 45 owr ystms Consrvation of Complx owr hort in owr Transmission owr Transmission isualization Radial in Mdium and ong in owr Transmission oltag Collaps

More information

SAFE HANDS & IIT-ian's PACE EDT-15 (JEE) SOLUTIONS

SAFE HANDS & IIT-ian's PACE EDT-15 (JEE) SOLUTIONS It is not possibl to find flu through biggr loop dirctly So w will find cofficint of mutual inductanc btwn two loops and thn find th flu through biggr loop Also rmmbr M = M ( ) ( ) EDT- (JEE) SOLUTIONS

More information

Cramér-Rao Inequality: Let f(x; θ) be a probability density function with continuous parameter

Cramér-Rao Inequality: Let f(x; θ) be a probability density function with continuous parameter WHEN THE CRAMÉR-RAO INEQUALITY PROVIDES NO INFORMATION STEVEN J. MILLER Abstract. W invstigat a on-paramtr family of probability dnsitis (rlatd to th Parto distribution, which dscribs many natural phnomna)

More information

Mor Tutorial at www.dumblittldoctor.com Work th problms without a calculator, but us a calculator to chck rsults. And try diffrntiating your answrs in part III as a usful chck. I. Applications of Intgration

More information

GENERATING GAUSSIAN FUNCTIONS USING LOW- VOLTAGE MOS-TRANSLINEAR CIRCUITS

GENERATING GAUSSIAN FUNCTIONS USING LOW- VOLTAGE MOS-TRANSLINEAR CIRCUITS ENERATN AUSSAN FUNCTONS USN O- OTAE MOS-TRANSNEAR CRCUTS SANCHEZ-OPEZ CAROS 1, AZ-SANCHEZ AEJANRO, TEO-CUAUTE ESTEBAN Elctronics partmnt NAOE uis Enriqu Erro no. 1. P.O.Box 51 and 16. 7 MEXCO Abstract:

More information

Analysis of Gas Expansion Required for Hydrate Formation

Analysis of Gas Expansion Required for Hydrate Formation J. Rajnauth: Analysis of Gas Expansion Rquird for Hydrat Formation 22 ISSN 1 7924 Th Journal of th Association of Profssional Enginrs of Trinidad and Tobago Vol.42, No.1, April/May 214, pp.22-26 Analysis

More information

λ - Reference surface tension (at scale line), λ

λ - Reference surface tension (at scale line), λ XVIII IMEKO WORLD CONGRE Mtrology for a ustainabl Dvlopmnt ptmbr, 7, 006, Rio d Janiro, Brazil THE ROLE OF EXPERIMENTAL DEIGN IN THE HYDROMETER FIELD Maria do Céu Frrira, José Mndonça Dias Portugus Institut

More information

STATISTICAL METHODOLOGY FOR VALIDATION CALIBRATION METHODS IN HYDROMETRY Maria do Céu Ferreira 1, José Mendonça Dias 2

STATISTICAL METHODOLOGY FOR VALIDATION CALIBRATION METHODS IN HYDROMETRY Maria do Céu Ferreira 1, José Mendonça Dias 2 º ENCONTRO NACIONAL DA SOCIEDADE PORTUGUESA DE METROLOGIA A Mtrologia o Crscimnto Sustntado 7 d Novmbro d 006, Lisboa STATISTICAL METHODOLOGY FOR VALIDATION CALIBRATION METHODS IN HYDROMETRY Maria do Céu

More information

Forces. Quantum ElectroDynamics. α = = We have now:

Forces. Quantum ElectroDynamics. α = = We have now: W hav now: Forcs Considrd th gnral proprtis of forcs mdiatd by xchang (Yukawa potntial); Examind consrvation laws which ar obyd by (som) forcs. W will nxt look at thr forcs in mor dtail: Elctromagntic

More information

EXST Regression Techniques Page 1

EXST Regression Techniques Page 1 EXST704 - Rgrssion Tchniqus Pag 1 Masurmnt rrors in X W hav assumd that all variation is in Y. Masurmnt rror in this variabl will not ffct th rsults, as long as thy ar uncorrlatd and unbiasd, sinc thy

More information

SP1001 Series - 8pF 15kV Unidirectional TVS Array

SP1001 Series - 8pF 15kV Unidirectional TVS Array Sris - 8pF kv Unidirctional TVS Array RoHS Pb GRN scription Znr diods fabricatd in a propritary silicon avalanch tchnology protct ach I/O pin to provid a high lvl of protction for lctronic quipmnt that

More information

Constants and Conversions:

Constants and Conversions: EXAM INFORMATION Radial Distribution Function: P 2 ( r) RDF( r) Br R( r ) 2, B is th normalization constant. Ordr of Orbital Enrgis: Homonuclar Diatomic Molculs * * * * g1s u1s g 2s u 2s u 2 p g 2 p g

More information

Calculation of Morse Potential Parameters of bcc Crystals and Application to Anharmonic Interatomic Effective Potential, Local Force Constant

Calculation of Morse Potential Parameters of bcc Crystals and Application to Anharmonic Interatomic Effective Potential, Local Force Constant VNU Journal of Scinc: Mathmatics Physics, Vol. 31, No. 3 (15) 3-3 Calculation of Mors Potntial Paramtrs of bcc Crystals and Application to Anharmonic Intratomic Effctiv Potntial, Local Forc Constant Nguyn

More information

COMPUTER GENERATED HOLOGRAMS Optical Sciences 627 W.J. Dallas (Monday, April 04, 2005, 8:35 AM) PART I: CHAPTER TWO COMB MATH.

COMPUTER GENERATED HOLOGRAMS Optical Sciences 627 W.J. Dallas (Monday, April 04, 2005, 8:35 AM) PART I: CHAPTER TWO COMB MATH. C:\Dallas\0_Courss\03A_OpSci_67\0 Cgh_Book\0_athmaticalPrliminaris\0_0 Combath.doc of 8 COPUTER GENERATED HOLOGRAS Optical Scincs 67 W.J. Dallas (onday, April 04, 005, 8:35 A) PART I: CHAPTER TWO COB ATH

More information

Lecture #15. Bipolar Junction Transistors (BJTs)

Lecture #15. Bipolar Junction Transistors (BJTs) ctur #5 OUTN Th iolar Junction Transistor Fundamntals dal Transistor Analysis Rading: hatr 0,. 30 ctur 5, Slid iolar Junction Transistors (JTs Ovr th ast 3 ads, th highr layout dnsity and low-owr advantag

More information

COMPARATIVE ANALYSIS OF AN ORGANIC RANKINE CYCLE FOR WASTE COGENERATION PLANTS

COMPARATIVE ANALYSIS OF AN ORGANIC RANKINE CYCLE FOR WASTE COGENERATION PLANTS Bulltin of th Transilvania Univrsity of Braşov Vol. 10 (59) No. 2-2017 Sris I: Enginring Scincs COMPARATIVE ANALYSIS OF AN ORGANIC RANKINE CYCLE FOR WASTE COGENERATION PLANTS L. COSTIUC 1 I. COSTIUC 2

More information

Optoelectronics EE/OPE 451, OPT 444 Fall 2009 Section 1: T/Th 9:30 10:55 PM

Optoelectronics EE/OPE 451, OPT 444 Fall 2009 Section 1: T/Th 9:30 10:55 PM Optolctronics EE/OPE 451, OPT 444 Fall 009 Sction 1: T/Th 9:30 10:55 PM John D. Williams, Ph.D. Dpartmnt of Elctrical and Computr Enginring 406 Optics uilding UAHuntsvill, Huntsvill, AL 35899 Ph. (56)

More information

Unit 7 Charge-to-mass ratio of the electron

Unit 7 Charge-to-mass ratio of the electron Unit 7 Charg-to-ass ratio of th lctron Kywords: J. J. Thoson, Lorntz Forc, Magntic Filds Objctiv: Obsrv th rsults of lctron ba influncd by th agntic fild and calculat th charg-to-ass ratio of th lctron.

More information

High Energy Physics. Lecture 5 The Passage of Particles through Matter

High Energy Physics. Lecture 5 The Passage of Particles through Matter High Enrgy Physics Lctur 5 Th Passag of Particls through Mattr 1 Introduction In prvious lcturs w hav sn xampls of tracks lft by chargd particls in passing through mattr. Such tracks provid som of th most

More information

Torque Ripple Minimization in Switched Reluctance Motor Using Passivity-Based Robust Adaptive Control

Torque Ripple Minimization in Switched Reluctance Motor Using Passivity-Based Robust Adaptive Control Intrnational Journal of Elctrical and Elctronics Enginring 5: orqu Rippl Minimization in Switchd Rluctanc Motor Using Passivity-Basd Control M.M. Namazi, S.M. Saghaiannjad, and A. Rashidi Abstract In this

More information

PROOF OF FIRST STANDARD FORM OF NONELEMENTARY FUNCTIONS

PROOF OF FIRST STANDARD FORM OF NONELEMENTARY FUNCTIONS Intrnational Journal Of Advanc Rsarch In Scinc And Enginring http://www.ijars.com IJARSE, Vol. No., Issu No., Fbruary, 013 ISSN-319-8354(E) PROOF OF FIRST STANDARD FORM OF NONELEMENTARY FUNCTIONS 1 Dharmndra

More information

Effects of Electron Model on Three-Grid Ion Engine Analyses

Effects of Electron Model on Three-Grid Ion Engine Analyses Effcts of Elctron Modl on Thr-Grid Ion Engin Analyss IEPC-2011-205 Prsntd at th 32nd Intrnational Elctric Propulsion Confrnc, Wisbadn Grmany Takshi Miyasaka 1 and Katsuo Asato 2 Gifu Univrsity, Gifu, 501-1193,

More information

Part 7: Capacitance And Capacitors

Part 7: Capacitance And Capacitors Part 7: apacitanc And apacitors 7. Elctric harg And Elctric Filds onsidr a pair of flat, conducting plats, arrangd paralll to ach othr (as in figur 7.) and sparatd by an insulator, which may simply b air.

More information

A General Thermal Equilibrium Discharge Flow Model

A General Thermal Equilibrium Discharge Flow Model Journal of Enrgy and Powr Enginring 1 (216) 392-399 doi: 1.17265/1934-8975/216.7.2 D DAVID PUBLISHING A Gnral Thrmal Equilibrium Discharg Flow Modl Minfu Zhao, Dongxu Zhang and Yufng Lv Dpartmnt of Ractor

More information

Analysis of Key Factors Affecting Electronic Transformer Calibration System Error

Analysis of Key Factors Affecting Electronic Transformer Calibration System Error http://dx.doi.org/0.5755/j0..9.5.674 Analysis of Ky Factors Affcting Elctronic Transformr Calibration Systm Error Mingzhu Zhang, Zhnxing Li School of Mathmatics and Statistics, Xuchang Univrsity, Hnan

More information

Lecture 28 Title: Diatomic Molecule : Vibrational and Rotational spectra

Lecture 28 Title: Diatomic Molecule : Vibrational and Rotational spectra Lctur 8 Titl: Diatomic Molcul : Vibrational and otational spctra Pag- In this lctur w will undrstand th molcular vibrational and rotational spctra of diatomic molcul W will start with th Hamiltonian for

More information

Introduction to Condensed Matter Physics

Introduction to Condensed Matter Physics Introduction to Condnsd Mattr Physics pcific hat M.P. Vaughan Ovrviw Ovrviw of spcific hat Hat capacity Dulong-Ptit Law Einstin modl Dby modl h Hat Capacity Hat capacity h hat capacity of a systm hld at

More information

Middle East Technical University Department of Mechanical Engineering ME 413 Introduction to Finite Element Analysis

Middle East Technical University Department of Mechanical Engineering ME 413 Introduction to Finite Element Analysis Middl East Tchnical Univrsity Dpartmnt of Mchanical Enginring ME 43 Introduction to Finit Elmnt Analysis Chaptr 3 Computr Implmntation of D FEM Ths nots ar prpard by Dr. Cünyt Srt http://www.m.mtu.du.tr/popl/cunyt

More information

A Recent Approach to Repetitive Control Strategy for Induced Draft Fan

A Recent Approach to Repetitive Control Strategy for Induced Draft Fan Europan Journal of Applid Scincs 9 (5): 258-264, 217 ISSN 279-277 IDOSI Publications, 217 DOI: 1.5829/idosi.jas.217.258.264 A Rcnt Approach to Rptitiv Control Stratgy for Inducd Draft Fan 1 1 1 2 G. Thanigaivl,

More information

Math 34A. Final Review

Math 34A. Final Review Math A Final Rviw 1) Us th graph of y10 to find approimat valus: a) 50 0. b) y (0.65) solution for part a) first writ an quation: 50 0. now tak th logarithm of both sids: log() log(50 0. ) pand th right

More information

Performance Evaluation and Parametric Optimum Criteria of an Irreversible Molten Carbonate Fuel Cell-Heat Engine Hybrid System

Performance Evaluation and Parametric Optimum Criteria of an Irreversible Molten Carbonate Fuel Cell-Heat Engine Hybrid System Int. J. Elctrochm. Sci., 6 () 474-479 Intrnational Journal of ELECTROCHEMICAL SCIENCE www.lctrochmsci.org Prformanc Evaluation Paramtric Optimum Critria of an Irrvrsibl Moltn Carbonat Ful Cll-Hat Engin

More information

Koch Fractal Boundary Single feed Circularly Polarized Microstrip Antenna

Koch Fractal Boundary Single feed Circularly Polarized Microstrip Antenna 1 Journal of Microwavs, Optolctronics and Elctromagntic Applications, Vol. 6, No. 2, Dcmbr 2007 406 Koch Fractal Boundary Singl fd Circularly Polarizd Microstrip Antnna P. Nagswara Rao and N. V. S.N Sarma

More information

Fixed-Point Harmonic-Balanced Method for Nonlinear Eddy Current Problems

Fixed-Point Harmonic-Balanced Method for Nonlinear Eddy Current Problems Intrnational Journal of Enrgy and Powr Enginring 206; 5(-): 37-4 Publishd onlin Octobr 4, 205 (http://www.scincpublishinggroup.com/j/ijp) doi: 0.648/j.ijp.s.2060500.5 ISSN: 2326-957X (Print); ISSN: 2326-960X

More information

A Revolutionary Radioisotope Thermoelectric Generator (RTG) Based on Low Energy Nuclear Reactions (LENRs)

A Revolutionary Radioisotope Thermoelectric Generator (RTG) Based on Low Energy Nuclear Reactions (LENRs) A Rvolutionary Radioisotop Thrmolctric Gnrator (RTG) Basd on Low Enrgy Nuclar Ractions (LENRs) Gorg H. Mily 1,3, Xiaoling. Yang 1, Hinrich Hora 2 1, Dpartmnt of Nuclar, Plasma and Radiological Enginring,

More information

2008 AP Calculus BC Multiple Choice Exam

2008 AP Calculus BC Multiple Choice Exam 008 AP Multipl Choic Eam Nam 008 AP Calculus BC Multipl Choic Eam Sction No Calculator Activ AP Calculus 008 BC Multipl Choic. At tim t 0, a particl moving in th -plan is th acclration vctor of th particl

More information

Random Access Techniques: ALOHA (cont.)

Random Access Techniques: ALOHA (cont.) Random Accss Tchniqus: ALOHA (cont.) 1 Exampl [ Aloha avoiding collision ] A pur ALOHA ntwork transmits a 200-bit fram on a shard channl Of 200 kbps at tim. What is th rquirmnt to mak this fram collision

More information