DC/DC. Trajectory Planning and Dual-Integral Sliding-Mode Control Strategy of DC/DC Auxiliary Power Supply for Hybrid Electric Vehicles

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1 38 4 Vl. 38 N Pwer System Technlgy Apr TM 72 A DC/DC Trajectry Planning and Dual-Integral Sliding-Mde Cntrl Strategy f DC/DC Auxiliary Pwer Supply fr Hybrid Electric Vehicles LIU Bin, SU Mei, HE Jianjun, SUN Ya, TANG Qingsng 2 (. Schl f Infrmatin Science and Engineering, Central Suth University, Changsha 40083, Hunan Prvince, China; 2. Wuhan Pwfuture Science & Technlgy C., Ltd., Wuhan , Hubei Prvince, China) ABSTRACT: T meet the applicatin demand f lw-vltage auxiliary pwer supply system fr hybrid electric vehicles (HEV), a auxiliary pwer supply cntrl strategy fr vehicular DC/DC cnverters, which is enable t suit t the wide varying range f input vltage and can reasnably implement charging/discharging cntrl f lw-vltage battery and energy management, is prpsed. On the basis f researching the demand f the three-segmental charging characteristics, varius wrking cnditins and perating mdes f battery n DC/DC cnverter and prving the differential flatness f vehicular auxiliary pwer supply system, a multi-bjective trajectry planning algrithm interfusing efficiency curve and current change rate with energy management is put frward. T meet the premise that the utput the cntrl system is differential flatness, i.e., the utput current can track the reference current fast and accurately, a dual-integral high rder and fix frequency quasi-sliding-mde cntrl algrithm as well as its mathematical mdel and the design methd f the cntrller are given. Finally, the simulatin mdel, the engineering prttype and the experimental platfrm f the prpsed cntrl system are cnstructed. Results f simulatin, experiments and engineering applicatin shw that the prpsed auxiliary pwer supply cntrl strategy fr DC/DC cnverter is effective and feasible. KEY WORDS: hybrid electric vehicles; differential flatness; phase shift full bridge DC/DC cnverter; quasi-sliding-mde cntrl; Saber-MATLAB cmbined simulatin DC/DC (67425, 67432) Prject Supprted by Natinal Natural Science Fundatin f China(NSFC)(67425, 67432). DC/DC DC/DC DC/DC Saber-MATLAB DOI0.3335/j pst [-2] (hybrid electric vehicleshevs) (DC/DC-cnvertersDC/DC) 85% [3] DC/DC [4] [5]

2 [6] DC/DC [7] [8] [9-0] [-2] DC/DC [3-5] (quasi-sliding mde cntrlq-smc) [6-7] DC/DC. DC/DC U sc 250~720 V DC/DC U DC/DC Fig. Auxiliary pwer unit in HEVs DC/DC R i R DC/DC DC/DC.2 [8] (, ) n m x f x uxr, ur () x y u (n, m)n ( ) m y ( x, u, u, u, u ), y R (2) y ( α ) ( ) x ( y, y, y, y ) (3) u ( y, y, y, y ) (4) ( β ) y DC/DC C y=c U 2 /2 x DC/DC U u i R DC/DC i i b x ( y) 2 y/ C (5) u ( y, y) y / 2 y/ C i (6) y y [9] DC/DC x(0)= U b u(0)=0 x(f)= U bt u(f)= I btr x(f)= U bt u(f) = I btr +I R I btr I R b

3 920 DC/DC Vl. 38 N. 4 min t J 0 x0 u0 t0 L x u t t f xf uf tf (7) f (,, ) (,, )d (,, ) t0 0 f 0 u Imax I Ub0 xuref bmax (8) I bmax U ref J dil E ( P lss) E 2 ( ) (9) d t λ +λ 2 =E(P lss ) DC/DC i L DC/DC E(di L /dt ) y y ref i ref y Bus 2 i ( y y ) k ( y y) k ( y y)dt (0) ref ref ref 2 ref y ref =C U 2 ref /2y=C U 2 /2 y=c (U 2 ref U 2 )/2 PID k k 2 PID 2 ref 2 CU y Bus 2 2 CU 2 I btr DC/DC 2 2. DC/DC (phase shift full bridgepsfb)dc/dc 4(a) U in Q Q 4 C T n: D D 2 L L 2 i L i L2 L L 2 i c C U in n (a) DC/DC L L 2 i L2 i L i L i c i C U R Fig. 2 Cntrl law f the DC-bus energy regulatin 3 DC/DC DC/DC DC/DC I max λ =λ 2 =0 i ref I max U bt DC/DC 3 Fig. 3 Flat trajectry planning D D 2 (b) 4 DC/DC Fig. 4 Full bridge DC/DC cnverter in HEVs and its equivalent circuit buck 4(b) i L 2 µ Q Q 4 µ=q 2 Q 3 µ= Q Q 4 Q 2 Q 3 Q Q 4 d d<0.5 4 dil Uin L d( U) ( d)( U) () dt n 2 du C il i (2) dt

4 i L = i L2 = i L /2 L = L 2 =L u=2d dil Uin uuin L u( U) ( u) U ( U) (3) dt n n () DC/DC buck buck 2.2 DC/DC i ref i L x iref il x2 x x3 ( iref il)dt xdt (4) x4 ( ( iref il)d t)dt S x x x x (5) x 2 x 4 d( iref il ) uuin x ( U ) dt L n x2 x (6) x 3 x x 4 xdt S x x x x (7) (2)(7) u eq Ln u C U C du 2 eq [( 4 ) ( 3 ) Uin L L d t 3( iref i) 4 ( iref i)d t] (8) du dt d U U( k) U( k ) (9) dt T T c k (8) u eq 2.3 S=0S =0 u=u eq u c S [20] PWM * u ueq uv ueq u sat[ S( t), ], St () St st St u, St () * sat[ (), ] (), () ; ; 0 (20) u eq u v u PWM 5 5 Fig. 5 Phase-shift full bridge Q-SMC structure diagram 2 lim S S 0 (2) S 0 (7)(2) x 2x2 3x3 4x4 0, 0 S S (22) x 2x2 3x3 4x4 0, S 0 uuin 2 du ( U ) 3( iref i) 4 ( iref i)dt 0 L n L dt 2 du U 3( iref i) 4 ( iref i)dt 0 L L dt (23) u eq 0<u eq < α >0 (8) du C 0 ( C ) ( ) U L dt L U ( i i ) ( i i )d t< (24) 3 4 in ref ref Ln (5) X() s X() s X() s 2sX() s (25) 2 s s s s s 0 (26) Ruth-Hurwitz α α 2 α 3 α 4 >0 α α 3 >α 2 α 4

5 922 DC/DC Vl. 38 N Saber Matlab/Simulink DC/DC Saber-MATLAB U in =375 V L =L 2 =0 H C =2 mf n:=9:2 00 khz U ref = 27 V R A0. s A0.2 s 0.75 (2)(26) 6(a) α =64α 2 =0.05 α 3 =0.007α 4 = (b) 2.03 khz DC/DC PI 2 ms s 2 s s kw DC/DC 8 CREE SiC 200 V/20 A Msfet CMF2020D DSEP2x0-04A 2 2 V/200 Ah 24 V/200 Ah DC/DC Fig. 8 DC/DC 8 Lcal equipment f the lw vltage pwer system Tab. DC/DC Parameters f DC/DC Pwer Supply /V /V /A /kw 250~ DC/DC u i u T 400 V 27 V 90 A 00 khz (a) Fig. 6 (b) Bde 6 Bde Current lp blck diagram and its bde plt 9 Fig. 9 Wavefrm f steady state experiment 0 3 i/av/v Fig. 7 7 Wavefrm f simulatin result Fig. 0 0 Wavefrm f trajectry planning experiment

6 VDC/DC 0 A ( )( Chrma 6250H-600S/000S) s 550 V 300 V s 550 V F DC/DC i(20 A/) u(5 V/) uin(500 V/ u in t(2 s/) Fig. Wavefrm f input vltage vary experiment 2 20 A 50 A 2.5 ms PI Fig. 2 u (a) PI (b) 2 Wavefrm f dynamic experiment i 2 ms PI 4 2 buck DC/DC 3 SiC 94% DC/DC 4 DC/DC [] [J] 2035(4)-7 Sng Ynghua Hu Zechun Yang Yuexi Present status and develpment trend f batteries fr electric vehicles[j]pwer System Technlgy2035(4)-7(in Chinese) [2] [J] 2035(2)27-3 Ga CiweiZhang LiangA survey f influence f electrics vehicle charging n pwer grid[j]pwer System Technlgy2035(2) 27-3l(in Chinese) [3] VRLA [J]20022(2) Yang HngWang HeWang Xuednget alstudy n vercharging prtectin and temperature cmpensatin f VRLA battery in renewable energy system[j]acta Energiae Slaris Sinica200 22(2) (in Chinese) [4] [D] 2008 [5] HEV [D] 20 [6] Chandrasekar VJseph S CChack R Vet aldesign and implementatin f a digital autmatic high frequency battery charger fr HEV applicatin[c]//202 IEEE Internatinal Electric Vehicle Cnference (IEVC)GreenvilleSCIEEE202-6 [7] [J]20337(4) Liu ZhiwenXia WenbLiu MingbCntrl methd and strategy fr smth switching f micrgrid peratin mdes based n cmplex

7 924 DC/DC Vl. 38 N. 4 energy strage[j] Pwer System Technlgy (4) (in Chinese) [8] Guan XiaqingWang JidngTrajectry planning thery and methd f industrial rbt[c]//cmputer Research and Develpment (ICCRD)ShanghaiChinaIEEE [9] Thunthng PPierfederici SDavat BAnalysis f differential flatness-based cntrl fr a fuel cell hybrid pwer surce[j]ieee Transactins n Energy Cnversin20025(3) [0] Payman APierfederici SMeibdy-Tabar FEnergy cntrl f supercapacitr/fuel cell hybrid pwer surce[j]energy Cnversin and Management200849(6) [] DC-DC [J] (2)-6 Ni YuXu JianpingStudy f quasi-sliding-mde cntrl switching DC-DC cnverters[j]prceedings f the CSEE200828(2)-6(in Chinese) [2] [J]200322(4)32-35 Fu ChngliYang XuZhu Fanget aldigital cntrl based n sliding mde fr full bridge ZVS PWM switching pwer supply[j] Advanced Technlgy f Electrical Engineering and Energy (4)32-35(in Chinese) [3] PWM [J]200933(8)8-23 Huang KaizhengWang WanweiWang XuMdeling and simulatin f PWM rectifier based n sliding-mde cntrl[j]pwer System Technlgy200933(8)8-23(in Chinese) [4] SVC Terminal [J]2035(4)08- Zu DehuWang BahuaBackstepping terminal sliding mde crdinated cntrl fr SVC and generatr excitatin[j]pwer System Technlgy2035(4)08-(in Chinese) [5] [J]20337(2) Ma JingGu RuiWang Yuhuiet alwide-area damping rbust cntrl strategy based n integral sliding mde cntrl[j]pwer System Technlgy20337(2) (in Chinese) [6] [J]20337(7) Li ShengminHe HuanhuanZhang Yukunet ala sliding mde variable structure-based direct pwer cntrl strategy fr dubly fed inductin generatr[j]pwer System Technlgy20337(7) (in Chinese) [7] [J]20236(7)2-6 Zheng XuemeiGu LingXu Dianguet alhigh-rder sliding mde cntrl fr n-lad cutting-in f DFIG wind turbines[j] Autmatin f Electric Pwer Systems20236(7)2-6(in Chinese) [8] Gensir AWywde ORudlph Jet alon differential flatness trajectry planning bservers and stabilizatin fr DC-DC cnverters[j]ieee Transactins n Circuits and SystemsRegular Papers200653(9) [9] Zandi MPayman AMartin J Pet alflatness based cntrl f a hybrid pwer surce with fuel cell/supercapacitr/battery[c]//energy Cnversin Cngress and Expsitin(ECCE)AtlantaGAUSA IEEE [20] Siew-Chng TanYuk-Ming LaiChi Kng TseSliding mde cntrl f switching pwer cnverterstechniques and implementatin[m] USACRC Press (967) sumeicsu@yah.cm.cn (982) bing.liu@ csu.edu.cn (966)