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1 n i v g i f s y y y y œ yvu s }sœ œx}s }y Stuy for Sensitivity of the Electronic Brake System with the Parameter Variation Heeram Park *1) Seibum Choi 1) Sungjin Choi ) Kwanki Jeon ) Hyunsoo Hwang ) 1) Korea Avance Institute of Science an Technology, useong-ong, Yuseong-gu, Daejeon, , Korea ) Vehicle Platform Research Center, Korea Automotive Technology Institute, 74Youngjung-Ri, Pungse-yun, honan, Chungnam , Korea Abstract : This paper is focuse on the output sensitivity of electronic brake system ue to the parameter variation. The mathematical moels of electro-mechanical brake system an electronic wege brake system are introuce. Using ATAB Simulink, the performance change of each system cause by parameter variation are verifie. Key wors : EB(Electro-echanical Brake), EB(Electronic ege Brake), brake-by-wire({l ª v ), Parameter variation(±kv xº), Sensitivity(v ), brake pa friction coefficient({l ª ± p ) v pˆul º &.# i ºƒ ˆ ˆ {l ª ª ± p m s Ÿk p m xºˆ x p ¹ ˆ» p ˆ ˆ v Ÿ l {l ª l m ºƒ ˆ ºƒ ekƒ { l ª l v m m Ž ekƒ Ÿ {l ª ³ ˆ¹mp m «v ª ««ˆ y t ƒ ª «ˆ s p ª «ª «p s ¹» ±kv xº ep ª ˆ º «p Fig Simple iagram of Electro-echanical Brake system p ml y x pp s pº ˆ«s ªo s º

2 ªo ƒ m xºˆ«ªo {l ª ± ª» p²px¹ˆ«r p² ƒ ª ª ± p µ p l vƒ p mxº p m xºˆ«xº ˆ ˆ f a fα = 1 fb f 0 β 3 3 f ª p º m xºˆ«ƒ ˆ ª xº ˆ v R i ψ ω ψ s t v = R i + ψ + ωsψ t = = + ψ ψ ψ, i i af c ƒ v i Ž op v i Ž op ψ ψ p ω s p R ψ af º p «1.4. s ª ˆ ª p ªª«ª ª ªª«ª T = n p ψ af i + ( ) ii s p ª 3 ª oˆ ªª«ª x ªp vƒˆ«s p ƒ v ƒ v m ƒ ƒz o m wx r Ž o ƒz op m y r s ƒ¹º s ƒz op my eˆ p ψ = ψ af T = npψ af i = Kti 3 &.#.FDIBOJDB1BSU ª ˆ w ˆ ˆ T = T + T + J ω& F T = F N f cosθ sinθ fα πη = f sinθ cos θ f Dω + ( C + FN ) sign ( ω ), ω > δ β TF = TE, if ω < δ an TE < ( TS + FN ) ( TS + FN ) sign ( TE ), otherwise θ º ˆ ªª«ª Žw ˆ m «T p T F m p «= + T p «p ˆ F ƒ T F Ž D p C p p T S

3 p «δ k m p «' K = K y Cal Cal p ' F = K y N Cal p «ƒr &8# i «ˆ «p Fig Simple iagram of Electrical wege brake system θ, ω s p K, Axial Axial p, x p K Cal p «p ml y x pp s p º ˆ«s ªo s Fig Clamping Force º ªo ƒ m xºˆ«ªo pª β Table Error of Approximation ½ p p² ª š Ž m v ƒ F N ª p² š vl vƒ vƒ ½ {l ª ± ªp p p² ƒ K Cal ƒˆƒ ƒp ª F N ƒ «ª ± p p Ž p l F vƒ F ˆ ±p B B x x Ž ekƒ pˆ x rƒ p ³ˆ«m F N º º º F = K y N Cal p &8#.FDIBOJDB1BSU Fig Simple iagram of Electrical wege brake system ³ w w ˆ ˆ

4 m x = F β + F F F = µ F && cos sin b R b N α m && y = F sin β F + F cosα N R m k µ {l ª ª p α p β s l v F N ª ƒ p m º ˆ ' F K y N Cal = s m ˆ x F = K Axial θ cos β π x& D ω Axial cos β π πη T = F K p D ƒ Axial Axial p η º v ³ w ˆ y = tanα x ˆ p ˆ p m αx = F β F + F α tan && sin cos N R ˆ ƒ F R ˆ tanα p ƒˆ r β + α β α µ ( cos tan sin ) ( tan ) && x = F F N m ( ) ( + α m + α ) ˆ p ˆ p r β + α β ( cos tan sin ) x && x = KAxial θ m cos ( + α ) β π ' x& ( tan ) K tan α µ Cal α DAxial ω x cos β π m ( + α ) s ª w ˆ p p r KAxial DAxial & = x + x& J cos cos πη β J πη β ω KAxial DAxial Kt θ ω i J 4 4 J π η J π η + ª «ª «p Ž ƒ p ª «ˆ s ¹ ±kv º xº x ±kv p ±kv p ±kv ˆul s Ž ªª ªª s ªª«ª o vƒ s º f ˆ ±kv º t vƒ et v p º ±kv r ±kv p ˆ ±kv rˆul ª ˆ ƒ pxºˆ e p «p º l ˆ ek º m p um x p z xºˆ«r xºp º ˆ xº ep l ±kv xº ep p «ˆul ƒ ƒ v Ž º l

5 f r ˆ f l º et s ˆ p m s x ¹ vƒ e s v ŽŽ l l e º f v ˆul e l º º ª ˆ ƒ p xºˆ e ˆul p «±kv x e ˆ ep xºp ±kv xº ep ƒ «ªª p l et s x v ŽŽ l l º e l º «ˆ ƒ xº ep xºp «ˆ xº ep p ±kv xº ep ƒ p ««ƒ º º um º ekƒ p ƒ ƒ xºˆ«r v º ª ƒ p v ƒ v º ƒ e Ž «p ½ ³ˆ«ˆ ¹ m Fig. 5 Output with various gear an screw efficiency f ¹ ¹ m p x e v «ˆul «ˆ v v º m «ˆ ƒ ª ˆ p m «pxºˆ«rˆul ±kv x e ˆ ep xºp ±kv xº ep ƒ «ªª p

6 Fig. 7 Output with various gear an screw efficiency Fig. 6 Input voltage with various motor resistance Fig. 8 Output with various brake pa friction

7 Fig. 9 Output with various motor resistance v y t ƒ ª «ˆ m s p ˆul ±kv xº epˆ ƒ xºpº ª ˆ º xº m zµ ps m ˆ p l ±kv x eˆ v v º «ˆ ª p m zz p p xº ek ƒ ª k º ekƒ l ± kv xº ƒ ƒ References «ª «ª ª «ª «ª ««ª ª ª ª ª ª «ª ª ª ª ª «ª ª «ª ª º ¹ ƒx k e s x º «ª«º t ¹ ƒn ƒx ª ƒ v{l ª± p x v ª«º v ˆº ƒn ƒx ª ƒ v{l ª± p x v ª«º v ˆº º¹ ƒ ¹ ºƒ¹ v¼ k ƒx {l ªp n Ÿºƒ ˆ ˆnƒ³ v ª ª«ª«zz º Ô ˆ Öª««zt t º¹ ƒ ¹ ºƒ¹ v¼ k ƒx {l ªp n Ÿºƒ ˆ ˆnƒ³ v ª ª«ª«º v ˆº

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