Analysis of intelligent road network, paradigm shift and new applications

Transcription

1 CONFERENCE ABOUT THE STATUS AND FUTURE OF THE EDUCATIONAL AND R&D SERVICES FOR THE VEHICLE INDUSTRY Analyss of nellgen road nework, paradgm shf and new applcaons Péer Tamás "Smarer Transpor" - IT for co-operave ranspor sysem secon Hungaran Academy of Scence Budapes, 31 January 2014

2 Macroscopc analyss 2

3 Macroscopc analyss 3

4 Conens of Presenaon Macroscopc processes Paradgm shf The Classcal Paradgms New Paradgms New Defnons New modelng echnque New Sysems New sofware & 3D emulaon Transporaon nework analyss Conrol MPC & Lyapunov Győr: road raffc model Moor Vehcle Analyss Vehcle dynamc analyss Applcaons New model famles New Possbles 4

5 The Classcal Paradgms Euler's mehod,y,z, and, Euler varables, y,z,; v v, y,z,; dv v 0 Leonhard Euler v v, y,z,; v y v y, y,z,; v z v z, y,z,; v y v y z v z 0 5

6 The Classcal Paradgms Greenshelds 1935, Greenberg 1959 Traffc flow: Lghhll and Whham 1955 and Ashon fundamenal equaon: q,, v, Papageorgou model Segmen lenghs: 500 m, [kt, k+1t] me nervals k=0,1,,n;t= 10 s, vehcle densy s consan Papageorgou Fg. 1. 6

7 The Classcal Paradgms 1. Applcaon Secors: Very posve! Paral Dfferenal Equaons are no necessary 2. Researchers are famlar wh he classcal mehods 3. Vehcle un/ Passenger Car Equvalen, s no an eac mahemacal defnon Passenger Car Equvalen PCE, s a merc used n Transporaon Engneerng. For eample, ypcal values of PCE or PCU are: prvae car ncludng as or pck-up 1 moorcycle 0.5 bcycle 0.2 bus, racor, ruck 3.5 Hghway capacy s measured n PCE/hour daly 7

8 The Classcal Paradgms 4. Mahemacal models are no general 5. The raffc flow flu s no an eac sae parameer Blase Pascal Traffc flow q=s vs s 1 vehcle densy, s s 2 Fg. 2. 8

9 The Classcal Paradgms 6. Inpu - Oupu: "Gaes" problem Fg Concepual problem: he nework s a sac conac graph 8. I mss he co-operaon of parallel lanes 9. Car Parks problem: "foregn elemens 9

10 New Paradgms & New Defnons 1. Sae parameer : vehcle densy eac. [0,1]. n k 1 l h k 1 Fg. 4. Parkng also secors: l Ma N h k k

11 New Paradgms & New Defnons 2. A dynamc graph consruc Fg. 5. new pulse graph 3. Vrual closed curve applcaon G Fg. 6. Doman and vrual closed curve 11

12 New Paradgms & New Defnons 4. Dynamc relaonshps and conac hyper-mar H B Inernal & H K Eernal Neworks K 12 K 11 K 22 H B H K K 21 K11 K12 K21 K22 Fg

13 New Sysems 5. Jon Analyss: Inernal and Eernal Nework Operaon 10. ábra: -k belső szekor kapcsolaa máros formában Fg. 8. h Secors: Inernal and Eernal Relaons 12. ábra: -k külső szekor kapcsolaa máros formában 13

14 14 New model famles 6. Unversal model 7. Reduced model =<L> -1 [K 11,s + K 12,s s] n,, s m, L = dag{l1,...,ln},, l>0, =1,2,,n, K 11 nn, K 12 nm. 8. Global model s 1 = n+1,, s m = n+m s s K s K s K s K P L s,,,, ,,,,,, u E e e V S v j j j j j j j j m w w n r r r v v v 1 1; K L

15 New model famles K K K K => K 11 K K K K => K 22 => => Járműgyárak folyamaos rászállíása örénk, elvben bármely szekorra a eljes Föld-felszín hálózaon Felszín Surface nework hálóza Amorzácó és karambolos járművek folyamaos kszállíása, elvben bármely szekorról a eljes Föld-felszín hálózaon L K 11 Fg. 9. No Euleran producon model 1 n v, v rn1 v, A r1; r 7 15

16 New model famles, new possbles and new dmensons The oal lengh of he nework, measured n boh drecons appromaely he Earh-Sun dsance! The oal vehcle lengh s 9 Earh-Moon dsance! 16

17 New sofware & 3D emulaon PannonTraffc PannonTraffc Modelng Modellezés Makroszkopkus szmulácó Macroscopc smulaon 3D raffc 3D vsualzaon forgalomvzualzácó mkroszkopkus mcroscopc PannonTraffc PannonTraffc Modelng Modellezés Makroszkopkus szmulácó Macroscopc smulaon Sand-alone Egyed fejleszésű developmen for vzualzácó vsualzaon Unque Egyed measuremens, mérések, számíások calculaons 17

18 3D vsualzaon vdeo 18

19 Transporaon nework analyss Varable nework model: Üllő sree n Budapes Corvn-negyed Mornng peak desgn Afernoon developmen, curren sae Fg.10. Two raffc flow drecons and he connecon mar 19

20 Conrol MPC Nodes: MPC-based managemen Performance: u k n 1; k E N k=1,2,,n k N E = 1 f > 0 and E = 0 f 0, Fg

21 Conrol Lyapunov V 1, 2,, n = l 1 * 1 + l 2 * l n * n =L*; 0,V=0 =0, >0ÞV>0 Lyapunov funcon: The oal lengh of he vehcles The dervaon of he Lyapunov funcon: V 1 L L [K11 K12,ss] V 1 L L [K11 K12,ss] 8 9 Conrol: F npu F oupu Fg

22 Conrol opmal rajecores Calculus of varaons problem: J: T Trajecores beween A and B Fg V, d 10 Equvalen non-lnear dfferenal equaon 0 = 0 : ábra: V, V, 11 22

23 Győr: road raffc model Ths 175 km 2 szed nework s eecued n only some mnues, whch would be possble whou our developmen n weeks. Ths nework consss 4600 road secons hs s only he skeleon nework approachng 500 km of oal lengh. Ths basc nework has o be epanded by several lanes, bcycle roads abou 36 km and parkng places. Fg. 14. Modelled nework of Győr n our sofware vehcles on appromaely 650 spos Fg. 15. Parkng places and raffc lghs n he eample model Fg. 16. A wo-level doman conrol for he cy of Győr 23

24 Győr: road raffc model Győr: Szen Isván Sree represens he runk of he nework PannonTraffc sofware was used for modelng and smulaon. The nroduced model s an mporan sub-doman of he raffc nework of Győr ncludng Szen Isván Sree. The valdaon of he model s carred ou wh he measured cross-seconal raffc daa and he resul of velocy measuremens by GPS equpped cars. The characerscs of he nework 228 roads 9 nersecons conrolled by raffc lghs 38 oher nersecons 18 npu secons 15 oupu secons Inpus:13 pons 18 lanes 1. Benczur u., u. 2 db. sáv 3. Béke híd, 4. Újlak u., 5. Munkács M. u. 6. Jóka u. 2. db. sáv 7. Baross Gábor Híd, 8. Telek László u. 3 db. sáv 9. Gárdony G., 10. Thany Árpád u., 11. Mészáros Lőrnc u., 12. Körforgalomból bevezeő ú. 13. Bssnger József Híd 2 db. sáv Fg.17. Inpus & Oupus Oupus:13 pons 15 lanes 1. Benczur u., u., 3. Béke híd, 4. Újlak u., 5. Munkács M u., 6. Arad Véranuk u., 7. Baross Gábor Híd, 8. Telek László u., 9. Gárdony G. 10. Thany Árpád u., 11. Mészáros Lőrnc u., 12. Kvezeő jobbra 2 db. sáv 13. Bssnger József Híd 2 db. sáv 24

25 Győr: road raffc model Afer he evaluaon, he correlaon coeffcen s: r,y= Whch can be regarded as 100% correlaon praccally. The smulaon for he gven nerval 7:15-8:15 was eecued n 6 sec. The smulaon regardng o he 24 hour me nerval was eecued n 2 mnues 14 seconds Fg. 18. Szen Isván Sree represens he runk of he nework 25

26 Győr: road raffc model and valdaon Fg. 19. The measured and smulaed raffc correlae very well 26

27 The road raffc modellng and desgn of he raffc daabase of Győr n projec Smarer Transpor Query nerface for PannonTraffc applcaon Servce facade User nerface PannonTraffc 1. Geng nework parameers & measured daa 2. Uploadng smulaon resuls Daabank Busness servces Daa access Daabase 27

28 Moor Vehcle Analyss and valdaon Fg

29 Moor Vehcle Analyss and valdaon Non-paramerc sascal ess homogeney es Level: 95% 2 v k u k Eqv := 2 r N M N M v k1 k u k 12 Velocy dsrbuonr=11, GPS & smulaon: Engne power dsrbuon r=18, GPS & smulaon: r-12 able , , 3 2 6, , 6 Boh are consdered o be homogenous, level of: 95%! 2 29

30 30 Eamnaon of comple raffc dynamc sysems f n n f f f v ],, [ s s K s K l f f a ],, [ s s K s K L f d df a v Fg

31 31 Eamnaon of comple raffc dynamc sysems y sab S sab S sab K sab K S K v FA FA F F F F F F z M := FA a M H 1 h 1 h l 1 0 a M H h 1 l 1 h := FA y a y M H 1 l 1 l h 1 a y M H l 1 h 1 l 0 Fg

32 REFERENCES Greenberg 1959 Greenberg, H.: "An Analyss of Traffc Flow", Operaons Research, Vol.7, pp.79-85, Greenshelds 1935 Greenshelds, B.D.: A sudy of raffc capacy. Proceedngs of he hghway Research Board, Proc. Vol. 14. pp Lghhll, M. J. and Whham, G. B On knec waves. I: Flood movemen n long rvers. II: A heory of raffc flow on long crowed roads. Proceedngs Royal Socey, London, A229, pp Luenberger 1979 Inroducon o Dynamcs Sysems, Wley, New York, 1979 Fazekas Sándor, Péer Tamás Daabase sysem o suppor Győr s raffc modelzaon, SECOND SCIENTIFIC WORKSHOP OF DOCTORAL SCHOOLS Faculy of Transporaon Engneerng and Vehcle Engneerng, BME Budapes, November 22, 2012 pp Do: KJK K4, ISBN , Kadó: BME KSK Fazekas, S., Péer T Desgn of Győr s raffc daabase, Thrd Scenfc Workshop of Faculy Docoral Schools, Budapes, Budapes, May 28, 2013 pp Do: KJK K4, ISBN , Kadó: BME KSK Péer, T., Bokor, J Modelng road raffc neworks for conrol. In: Annual nernaonal conference on nework echnologes & communcaons: NTC Thaland, pp Paper 21. Péer, T., Bokor, J New road raffc neworks models for conrol. In: GSTF Inernaonal Journal on Compung, vol. 1, Number 2. pp Péer, T Modelng nonlnear road raffc neworks for conrol of juncons. In: Inernaonal Journal of Appled Mahemacs and Compuer Scence AMCS, 2012, Vol. 22, No. 3. pp Péer, T., Szabó, K A new nework model for he analyss of ar raffc neworks. In: Perdoca Polyechnca- Transporaon Engneerng 40:1 pp Tamas Peer, Jozsef Bokor and Andras Srobl 2013 Model for he analyss of raffc neworks and raffc modellng of Győr, pp Do: 0023, IFAC Workshop on Advances n Conrol and Auomaon Theory for Transporaon Applcaons ACATTA 2013 whch s o be held n Isanbul, Turkey, Sepember hp:// Zsuzsanna Bede, Tamás Péer and Ferenc Szauer 2013 Varable nework model pp Do: 0026, IFAC Workshop on Advances n Conrol and Auomaon Theory for Transporaon Applcaons ACATTA 2013 whch s o be held n Isanbul, Turkey, Sepember hp:// 32

33 Furher work planned: HORIZON 2020 Győr Cy Managemen 33

34 The eam Thank you for your conrbuon Bede Zsuzsanna Fazekas Sándor Kalncsák Isván Sróbl András 34

35 CONFERENCE ABOUT THE STATUS AND FUTURE OF THE EDUCATIONAL AND RESEARCH - DEVELOPMENT SERVICES FOR THE VEHICLE INDUSTRY THANK YOU FOR YOUR ATTENTION. PÉTER, TAMÁS Szécheny Isván Unversy Research Cener of Vehcle Indusry Conac Emal: [email protected] Tel.: Web: hp://

36 CONFERENCE ABOUT THE STATUS AND FUTURE OF THE EDUCATIONAL AND R&D SERVICES FOR THE VEHICLE INDUSTRY COOPERATION BETWEEN HIGHER EDUCATION, RESEARCH INSTITUTES AND AUTOMOTIVE INDUSTRY TÁMOP C-12/1/KONV BASIC RESEARCH FOR THE DEVELOPMENT OF HYBRID AND ELECTRIC VEHICLES TÁMOP A-11/1/KONV "SMARTER TRANSPORT" - IT FOR CO-OPERATIVE TRANSPORT SYSTEM TÁMOP C-11/1/KONV Nemze Fejleszés Ügynökség Hungaran Academy of Scence Budapes, 31 January 2014