Definition of parametric methods for fault analysis applied to an electromechanical servomechanism affected by multiple failures
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1 Diii ic ul lyi li lcchicl vchi c by ulil ilu Pl Mi 1, M D. L. Dll Vv 2, Lz Pc 3 Ali D 4 1,2,3,4 Plicic i Ti, Ti, 10129, Ily l.i@li.i.llvv@li.i lz.c@li.i li.@li.i ABSTRACT I c icii ilu u iv iy lih c lcchicl cu, ic cul ly vl ch; chic b i iv by iccy h i ilu ci, ic ll li ih b uul u. I, cul b uibl ly ci lici hil y cul iv uul ul. Dvli ul ci li bl iiy cu bv i lcchicl cu (EMA) ilu i i i u bicil icii ici ilu li ic c uch ly chul vchi lc. ic chiqu, bl iiy y li EMA c i i ill vully xhibi lu bhvi; i icul u ki ilu ci: ici, bcklh, cil h cicui, ic cciciy. T i u, iviv l b ul ci chiqu h b vl i vl ii chiv by FFT lyi "ilu cu" (clcul by ci cul EMA i xc ). T bu chiqu, i iuli vi vl. Th ul h qu bu cic i i biliy ly iiy vul EMA lucii i l ik l l i ilu. M Dvi Lz Dll Vv l. Thi i -cc icl iibu u Civ C Aibui 3.0 Ui S Lic, hich i uic u, iibui, uci i y iu, vi iil u uc ci. 1. INTRODUCTION Pic i icili h u i ic i hich ci c l i uciliy i u bl i c. I i b lyi kl i ibl ilu lii cbiliy iiviu i i i,, vlu iu uch (ul ci / vlui). Th bv i ill b u iu ilu i l. Th u i icili i uic, i y chlicl il, cul b vy uul i li ic, ic i l b c ici i. I iiz v, icili k Pic Hl M (PHM) h b: i u i vi l-i cu u y clcul Rii Uul Li (RUL) b ul ccu c bc ubl i ucilii i lvl. Th v i by PHM i vi ci u y cciv cci i icili i clicl i. Th iy lih cl ciicl u ic y i i cviv -li ch hich i lc l c ubquly ci ub lih hu ( i cycl): bviuly, i ch i bl vlu civ u i ( i biliy ill ccly) bu ly qui i ic i. I icul, i i cii i bl vlu ibl iiil l (ccu ui ucui) cul u ul hich cul ci y ic ' ll lc ly lly il c (i l iicici iil c). 1
2 I T c i c E 2 T 1 2 T h c I Th v c i c EM i 2. Th T b i h i i c b h h v u M A h b v i b il P u cu lu i ul MA u i AI i v u v u i v lu PH l l l i i i ul u u i i i i A ul i IM i l v icu v ul ul i v u H i i y i i i M i h h l h i h v ul b, HM c c y i i i b h i l M O c ilu l i l i b i i c i M i ic iv l b h OF c u h lu i, i c y i iz cu c v lly i c. F W i u, y, i ; izi l z ul ch c ( y i c. W i i h i i u ; i i l i h ci ( h c b WO u c ( i i ( h i y b u i i l h b v i O hi ul c c ( ic b i v v y b c h h vi ii OR i ch c bl h u l v, vl i i i b y / i c hi i RK l i h y c l l c ul b, c i lu E i i i b y v i ic c c K u y cc c b l b c ilu u EU i c c h c u v ch c ch ic u c bu i l u UR, c c c c ul lu i h i h, k c ic u i il RO u c i i u i u i k l c lu c i u OP ui i i c h h h u h h l i i u. c i q. ul h PE i il h c h i i. l u ici i. qu B l i EA b lu ; li ci iy iv i iiilly c uccbl cul b ci. l i Th i i k : uli yic u i y ic cciciy) l iviv vlu ci ilu iy. i iuli vi icul, i vlu i ilu hv b. bv i ul u ily ii ilu vlu i iu. UROPEAN y, bii lli v: l i c; l ic iv ic y libiliy iv; l c lli ci iy iv i iiilly c uccbl l i Th i i k : uli yic u i y ic cciciy) l iviv vlu ci ilu iy. i iuli vi icul, i vlu i ilu bv i ul u ily ii ilu vlu i iu. UROPEAN y, bii lli v: l ic iv ic y libiliy iv; l c lli ci iy iv i iiilly c uccbl l i uli yic u i y ic cciciy); l iviv vlu ci ilu iy. i iuli vi icul, i vlu bv i ul u ily ii ilu vlu i iu. UROPEAN C y, bii lli v: l ic iv ic y libiliy iv; l c lli ci iy y iiilly c uccbl l i uli yic u i y ; l iviv vlu ci ilu iy. i iuli vi icul, i vlu bv i ul u ily ii ilu vlu i iu. C y, bii lli v: l ic ivi qui; ic y libiliy iv; l c lli ci iy y iiilly c uccbl l i uli yic u i y l iviv vlu ci ilu iy. i iuli vi icul, i vlu EMA bhvi, vl bv i ul u ily ii ilu vlu i iu. y, bii lli v: i qui; ic y libiliy iv; l c lli ci iy y iiilly c uccbl l i uli yic u i y l iviv vlu ci ilu iy. i iuli vi icul, i vlu EMA bhvi, vl bv i ul u ily ii ilu vlu i iu. y, bii lli v: i qui; ic y libiliy iv; l c lli ci iy y iiilly c uccbl l i MATLAB Siulik uli yic u i y l iviv vlu ci ilu iy. i iuli vi icul, i vlu EMA bhvi, vl bv i ul u ily ii ilu vlu i iu. y, bii lli v: i qui; ic y libiliy iv; l c lli ci iy y iiilly c uccbl MATLAB Siulik uli yic u i y l iviv ul ci/vlui vlu ci ilu iy. i iuli vi icul, i vlu EMA bhvi, vl bv i ul u ily ii ilu vlu i iu. y, bii lli v: i qui; ic y libiliy iv; l c lli ci iy y iiilly c uccbl bh MATLAB Siulik uli yic u i y ul ci/vlui vlu ci ilu iy. i iuli vi icul, i vlu c u EMA bhvi, vl bv i ul u ily ii ilu vlu i iu. y, bii lli v: i qui; ic y libiliy iv; l c lli ci iy y c, hich bh MATLAB Siulik uli yic u i y ul ci/vlui vlu ci ilu iy. i iuli vi c u EMA bhvi, vl bv i ul u ily ii ilu vlu i iu. y, bii lli v: i qui; ic y libiliy iv; l c lli ci iy c, hich bh MATLAB Siulik uli yic bhvi u i y ul ci/vlui vlu ci ilu iy. i iuli vi c u EMA bhvi, vl bv i ul u ily ii ilu vlu i iu. y, bii lli v: i qui; ic y libiliy iv; l c lli ci iy c, hich bhvi MATLAB Siulik bhvi u i y ul ci/vlui vlu ci ilu iy. i iuli vi c u EMA bhvi, vl bv i ul u ily ii y, bii lli v: i qui; ic y libiliy iv; l c lli ci iy c, hich vi MATLAB Siulik bhvi u i y ul ci/vlui vlu ci ilu iy. i iuli vi c u EMA bhvi, vl bv i ul u ily ii y, bii lli v: i qui; ic y libiliy iv; l c lli civ ci iy c, hich vi MATLAB Siulik bhvi u i y ul ci/vlui vlu ci ilu iy. i iuli vi c u EMA bhvi, vl bv i ul u ily ii y, bii lli v: i qui; ic y libiliy iv; civ ci iy c, hich vi MATLAB Siulik bhvi u i y ul ci/vlui vlu ci ilu iy. c u EMA bhvi, vl bv i ul u ily ii y, bii lli v: i qui; ic y libiliy iv; civ ci iy c, hich vi, l MATLAB Siulik bhvi u i y ul ci/vlui vlu ci ilu iy. c u EMA bhvi, vl bv i ul u ily ii y, bii lli v: i qui; ic y libiliy iv; civ ci iy c, hich, l MATLAB Siulik bhvi u i y ul ci/vlui vlu ci ilu iy. c u EMA bhvi, vl bv i ul u ily ii y, bii lli v: i qui; ic y libiliy iv; civ ci iy; c, hich, l MATLAB Siulik bhvi u i y ul ci/vlui c u EMA bhvi, vl bv i ul u ily ii y, bii lli v: i qui; civ ; c, hich, l MATLAB Siulik yicl u i y iv ul ci/vlui vl; i c u EMA bhvi, vl bv i ul u ily ii P civ ; i c, c, hich, l MATLAB Siulik yicl iv ul ci/vlui vl; i c u EMA bhvi, vl bv i ul u ily ii P civ i c, c, hich, l MATLAB Siulik yicl iv ul ci/vlui vl; i c u EMA bhvi, vl bv i ul u ily ii P civ i c, c, hich, l MATLAB Siulik yicl iv ul ci/vlui vl; i c u EMA bhvi, vl bv i ul u ily ii civ i c, c, hich, l MATLAB Siulik yicl iv ul ci/vlui vl; i c u EMA bhvi, vl bv i ul u ily iiy civ i c, c, hich, l MATLAB Siulik yicl iv ul ci/vlui vl; i c u EMA bhvi, vl y civ i c, c, hich, l MATLAB Siulik yicl iv ul ci/vlui vl; i c u EMA bhvi, vl y civ i c, c, hich, l MATLAB Siulik yicl iv ul ci/vlui vl; i c u EMA bhvi, vl y civ i c, c, hich, l MATLAB Siulik yicl iv ul ci/vlui vl; i c u EMA bhvi, vl y civ i c, c, hich, l MATLAB Siulik yicl iv ul ci/vlui vl; i c u EMA bhvi, vl y civ c, hich, l MATLAB Siulik yicl iv ul ci/vlui vl; i c u EMA bhvi, vl y P A h i A viuly bli h b vi. 1 P A h i A viuly bli h b vi. 1 A h i A viuly bli h b vi. H A h i uc hvi A viuly bli h b vi. H A h i uc hvi A viuly bli h b vi. chicl HEALTH A h i uc hvi A viuly bli h b vi. chicl EALTH A h i uc hvi A viuly bli h b vi. chicl EALTH A h i lcicl, BLDC y uc hvi A viuly bli h b vi. chicl EALTH A h i -h lcicl ; uc hvi A viuly bli h b vi. chicl EALTH A A h i h lcicl ; uc hvi A viuly bli h b vi. chicl EALTH M A A h i h lcicl ; uc hvi A viuly bli h b il vi. chicl M A h i iu h lcicl ; uc hvi A viuly bli il chicl M iu h lcicl ; uc hvi A viuly bli il iu h lcicl ; uc hvi A viuly bli il Fiu 1. iu h lcicl ; uc hvi A viuly bli il Fiu 1. iu h lcicl ; uc hvi A viuly bli il Fiu 1. iu h lcicl ; uc hvi A viuly bli il Fiu 1. h lcicl ; uc hvi A viuly bli il Fiu 1. h lcicl ; uc hvi il S Fiu 1. h lcicl ; uc hvi il SYS Fiu 1. h lcicl ; uc hvi il YS Fiu 1. h lcicl ; uc hvi S YSTEM EMA ch. h lcicl ; uc hvi i S TEM EMA ch. h lcicl ; uc hvi i TEM EMA ch. h lcicl ; uc hvi i TEM EMA ch. h lcicl ; uc hvi i TEM N EMA ch. h lcicl ; uc hvi i N EMA ch. uc hvi uci c i N EMA ch. uc hvi uci c i EMA ch. uci c i 2014 EMA ch. uci c i 2014 EMA ch. uci c 2014 EMA ch. uci c 1 ; 2014 EMA ch. ; uci c ; Th uci c hvi hih Th uci c hvi hih Th uci c hvi hih cul Th. M ul uci c hvi hih iu cul Th bi M I_ ul uci c hvi hih l. iu iu cul bi MODEL I_ ul uci c hvi hih l. iu iu Siulik cul bi ODEL I_ ul uci c hvi hih l. iu iu Siulik cul bi ODEL I_ ul uci c hvi hih l. iu iu Siulik cul bi ODEL I_); ul uci c hvi hih l. iu Siulik cul bi ODEL ); ul uci c hvi hih l. 2, i 1 Siulik cul bi ul uci c hvi hih Th 2, i 1 Siulik cul bi i ul uci c hvi hih Th 2, i 1 Siulik 2 cul bi i uci c hvi hih Th 2, i 1 Siulik 2 cul bi i uci c hvi hih Th 2, i 1 Siulik cul bi i uci c hvi hih Th 2, i 1 Siulik
3 EUROPEAN C P HEALTH M S 2014 Th zil bck-emf lcicl cu v -h BLDC, vlvi uci ii (_), h i iu 4. Fiu 2. P EMA blck i vl i Siulik vi. I i c by ix i uby: 1. iu blck i ii c (C); 2. uby iuli cu cl lcic, cl bck l uu c cu I_ (ACE); 3. uby iuli iv lcic zil BLDC lcic l, vlu qu vl by lcicl uci vl by h lcicl ul (BLDC EM Ml); 4. uby iuli EMA chicl bhvi by 2 yicl y (EMA Dyic Ml); 5. iu blck iuli yic qu ci vi uc cll by cu (xl ci TR); 6. blck iuli EMA ii y (Mi). Th uicl l i l bl iul c u cvi lic iil bck il (ADC), lcicl i ci il li ii uc c by lcicl. Fiu 4. Ph bck-emf cu v -h BLDC. Th ivi i by PWM cu cl blck (iu 5) c c h cu (I, I b, I c) i cul h cu (I, Ib, Ic); i, ci blck i il ucu l i -h PWM iv: i bhvi i iul by ly blck, hvi hl ( u ih lc), ch h. Fiu 5. PWM blck i. Th uu i uby, h i iu 6, i c i vl vc i ci h vl V0, Vb0 Vc0. Fiu 3. BLDC EM Ml blck i. Fiu 3 h uicl iuli li il buhl DC lcic l: i i c by blck i c cu, -h PWM iv y BLDC lcic l. Th BLDC EM Ml blck i h b vl cci icl l ui by Çuk Ayğu (2010) Hlvi Ni, Mhblli Vhi (2009). Fiu 6. Exl yic vlui -h vl ul by PWM blck. 3
4 EUROPEAN C P HEALTH M S 2014 A h I_ clculi, i h h iiv vlu, h iv vlu hvi ulu iiv ii u b ull ( l liz i l ly vlu). Th c h yicl 120 ilc. Th EM l (h i iu 7) clcul h cu (I, Ib, Ic) vl chicl qu TM uci PWM h vl (V0, Vb0, Vc0) civ vlciy DThM. Th ci BLDC h -h ii ly i cci: i h iiv (R) iuciv (L) bch hich cu-lciv c 2 (bck-emf) c. A i [2], bck-emf h vl il by ui Siulik lk-u bl uci. I u b bck-emf c k_i ( ch bch) y l k i ccu ibl lcicl ilu (lik il cil h cicui ic cciciy) by iyi uci (u) (iu 9): vlu, ulili by civ vlciy DThM, vi ci l bck-emf vlu. Fiu 7. EM Ml blck i. Sic h cu k, l qu c b cu; i clculi i ci u by uby TM (h i iu 7): u h cu, ulili by i civ bck-emf c k by ub l cul, iv ci vlu l qu TM. 3 I u b, i vli ju illu uicl l, yic vl by i y u ci i cii (cl iu, buy cii ii i i) c i bi liu. 2 I il cii ( ilu ci) bck-emf ci.. h i uci ii ThM hvi liu = k DThM, k i bck-emf c ci h. I c lcicl ilu (uch cil h-cicui ic cciciy) bck-emf c y b uibly ii by uci (u) ( ch h) ly cciv i iul c ilu. 3 Th bi chicl qu TM i lii by Siulik Sui blck i k i ccu cul c l y. I icul, bck-emf h cu v, l i vlu ul vlciy, yic BLDC cu by viu c iu hv b c i ci c i liu by L Ehi (2003), hihlihi icy clic b iuli liu. Fiu 8. EMA Dyic Ml blck i. Fiu 8 h uby iuli EMA chicl bhvi: i i c -li c yic l lik by iu l iuli lic ci (Tz) u h i 4 : i yic y i l u iclui, hil c il u. Th BLDC M U uby il c yic l iuli civly bhvi BLDC / uc il u (i.. ic c uc cll by EMA). Thi y iuli li, ily xli by Bll, Dll Vv (2012), i l bl iul c y ici c vl i bi, uc, hi c cu; i icul, icil qu i clcul by uicl l by Bll, Mi, Dll Vv Alihillj (2009). Fiu 9. Mchicl Tii blck i. Th Mchicl Tii uby h i iu 9 iul bhvi ii h liki - bly il u, clculi ci ci qu (Tz) uci ThM ThU (civly u ii) K (ii h i) ki i ccu c chicl bcklh. 4 I u b cii l chicu.. chicl y ly i k i icl l i c [8] [13]. 4
5 3. RELATED MONITORING MODEL Th bv Siulik l, xli i viu ci, i bl iul yic bhvi cul lcchicl vchi ki i ccu c u c iu, vil buy cii vl ilu. S, v i liii, i l ll iuli yic l y i vlu c i ul i, ly i iic ic ii i. I cciv y bl iiy vlu iv ilu, i i cy c i yic bhvi i vi by il y i i il cii (i lc c u i ilu). T i u, uicl l ( ilii cc viu ), ic ii i, h b vl. A h i iu 10, Mii Ml cll ilii vi EMA uicl l hvi licl ucil ucu; uch l, i c il, i bl iv iil c, luh l il, quii l cuil uc cuil i. Th Cll clcul uu c cu I_ uci ul ii ThM, ul vlciy DThM c ii C. I iliy lcic uicl l, -h BLDC h b ll quivl il-h lcic ivi qu TM i icly bi ulilyi cu C by qu c GM. Th ic b c (I_) cul cu (C) SIGN blck u ci h uly vl +/-Vc (civly, h c cu i hih cul cu vic v); vlu, c bck-emf, clcul (by uci lli iiv-iuciv cicui) cul h cu C u i bck qu cui TM. A ui blck i vi k i ccu ci qu lii. Fiu 10. Mii Ml blck i. I i iliy cu chicl l, -u bly h b il li c yic y (lci c u y ii, ii h i bcklh uci iil vicu h) ll ici qu ci cul y i. 4. EMA FAILURES AND DEGRADATIONS Sic EMA hv b ly cly ly i uic, i cuul lih hu -b illi uch i bi libl iic bu cui ilu. Hv, i i ibl ic b u i ci ilu: 1. chicl ucul ilu; 2. BLDC ilu; 3. lcic ilu; 4. ilu. Th k h b ily cu c chicl ilu u iv, cu ic bcklh ici, yicl BLDC ilu: cil h-cicui bi i ic cciciy. Elcicl ilu l i, bu i vlui uully vy (i iu) ci ilu cu iicul iiy vlu; vl, i i ii u uy y ilu i x k. A k, y ici h ly ccu h uc i liv i: h ici cici ic u, ci qu bc hih u vi hih qu cu cl uc. A h by Bll, Mi, Vill Dll Vv (2010), ic y ici, hil ill cui izu i y, uc vchi ccucy, i, iluc y yic i uxc bhvi (ick-li lii cycl). Th chicl cul l bcklh i EMA vi uch, hi, bi cilly c cu. 5
6 EUROPEAN C P HEALTH M S 2014 Th bcklh, ci l chicl ii, uc EMA ccucy c l bl i cllbiliy hl cu, h by Bll Dll Vv (2006). BLDC ilu ily iv cil h-cicui bi i ic cciciy. Sh-cicui uully b cil bli h (cil-cil ilu). Sic i h-cicui cil vl i ic c, hih ciculi cu i, i lcliz hi i cuc: i hi v xi ilu jc cil. I i ki ilu i ly c i cul h-h h-ul. Th ic cciciy i by ci i ili b i xi xi yy; i ili i ily u lc ici ui cuci ul ic h bi. Wh i ilu ccu, hvi l cul iiclly vibl ic lux, ic i vi ui i 360 u. Fiu 11. Rc y iii i. I c ic cciciy, i ch ui i (iu 11) i bhvi c b by uci: h, i clc b (iu cii ili) c vii i i ϑ l ili ; i c, vi qu i l i il cii; i, cl lyi vl ub-hic ici hih ccicii. Th ic cciciy il cil h cicui c hv b l by ilii uicl li. Sic b ilu ch ic culi b, li iul i ilu iyi vlu ul uli bck-emf cici 5. 5 Th li, il by uci (u) ci i BLDC EM Ml blck i i iu 7, c bck-emf c Ci ( ch bch) uli i zil c vlu K i uci cil h cicui c, ic cciciy ζ ul ii ϑ. Th bi c (k_, k_b, k_c) u clcul ci cu-lciv c (, b, c) vlu chicl cul (C, Cb, Cc) by h (iu 7). 5. FAULT DETECTION/EVALUATION ALGORITHMS A ly i, ic i ii icili h u i ic icii ilu ci c, lli ibl ivi b iiil l. Th ilu ci/vlui cul b chiv by li (yiclly li uicl l) bl c ilu ic i vlui. Thi c uli lii ic: i cul ic ly ilu hich ul i i bl c u ul. Pic li c hv vl clxiy lvl, il b huiic cii clx ivlvi hyicl ilu l. Dvli ic li bl iiy cu EMA ilu i i i u bicil icii ici ilu li ic c uch ly chul EMA lc. Thi vi vchi ilu i vic, by ui iv qui vilbiliy iiizi ic liic li. T i c, l b ilu ci/vlui chiqu vl u vl ii bi by ci cul i xc EMA ciz i i ii uul li. Th chic b li bl c vlu icul ki icii ilu i iv by i biliy c ilu il,. Th li i b u: 1. Fui cl lyi (by FFT); 2. Cli cici. Th Fui T (FT) i icl iu, b u y Fui i, hich h y lici i hyic ii (Wlch 1967). Fui T uci () i clcul by Dic Fui T (cll DFT). Ulik yicl FT, DFT qui iu ic uci; i i DFT lyi uci lii ic i. I u b iu vlu DFT ii quc l clx ub, u k i il ci lcic clcul; i icul, i i ly lyz quci ci ci uicl il by li ciui F Fui T (FFT) ( h by C, Lu Géi 1998). I chiv cl lyi yic cui y iv c, ic uicl li (b u FFT MATLAB ili) h b cciv. 6
7 EUROPEAN C P HEALTH M S 2014 A i li, iu u c icii ilu cii i cli cici C. Thi cici, by Bll, Dll Vv, Jczi Sli (2009) Dll Vv l. (2010), i i : h i bv i icl : i i k, y civly ul l iul cul y ii l. Th ci i vc, i c, cul cc ii, vlcii hyicl iu y. Th i yic cul y (ul iiv) c i ul vi by ii y ( iul il cii, ic iv ilu ci): ilu i cibl, ul bi iul cul y i icl 6. Thi ic, i b uul ic lyi, hul hv ic l ci ilu ic. I ll ic cli b i ilu ci vlu cli cici, i i cy iiy hyicl iu (iiv i ilu), i ici ilu il, ic ily cbl C; i u, u hv cciv ic uicl li (vl i MATLAB vi) ili qui (3). 6. FAILURES EFFECTS OF THE EMA BEHAVIOR I ciz c uc by ilu yic bhvi ci cui y, yic u uch cii c i i il cii (i.. cii il vlu ilu). Th EMA l h b i vl iuli i il cii (NC): clic b cul bhvi l EMA ci iul ul hv b vlu by y y C; ubquly, ul hv b c i y bhvi i ilu cii. A c iu (iu 12) yicl, i NC (hvi vlu y ici qu chicl bcklh lci y h h cicui ic cciciy), u i vic y biliy i, -li c u ui ii u ici 6 I vc bv xcly c icl, C i qul 1. I i cc ccu, iccy b i icbl, vlu C i i 1: i vlu cul b hih l 1. (i i bcu u l i y ici li i yic y bl k i ccu l h c i uul ici); by i y i i ibl ic b ic yic ici cii vlu i c y. Fiu 13 u i vic EMA uicl l biliy iul cul yic -h cu (I, Ib, Ic) ki i ccu c u PWM uli h cui, uch -h c h by Hk, Schick Wl (1999) H Rjh (2006). Fiu 12. Exl y yic bhvi i cii ii c. Fiu 13. Rl c cul h. Th lyi vl l i bl iul b hih-l (Fi. 14) ick-li h (Fi. 15); i c uli lii cu i xiu, hil l h h ccu h l i l uh hiz icil c. Fu, l ll vlu icii i lui vchi, i.. ll c vlu uci cu. Obviuly, i vlu bc hih icil cibui i iiic, i h vchi u ici cii. 7
8 EUROPEAN C P HEALTH M S 2014 Fiu 14. Exl y yic bhvi i cii hih l c. Fiu 15. Exl y yic bhvi i cii vy l l c. A y, vl iic iu hv b xi cii l biliy iul bhvi l cui y i iiviy li c, c iu (i yic l liu qucy iu) xl l. Th ii ul vi by FFT lyi ii vlcii u. Th li ly i k ccly c i cl cibui lyz iu uci ci c qucy: i liu i l c i-liu. I iv c h liu qucy i b ly ll by vchi, i lyi l c ulil hic c qucy (hich yiclly i il ii hv hl-v yy). Chck clic uicl l i NC, vl lyi hv b cii u ibl ilu. Fily, c cii (ici bcklh) hv b vlu: ici qu i i c xiu qu, hil chicl ii bcklh i l lcliz uc. Th hih-l c vi iiic ul: 1. I FFT lyi vlcii, ul qucy c i il cii i u 2040 Hz. Thi vlu lihly c icil c ic, ic ul vlciy i uc by ici. Th liu l i qucy iclly ic i ici ici -ic ulil hic i ( c i hv b c ui FFT lyi). Bcklh i c i FFT li; 2. Th ivii cli cici vl u ii vlciy liibl ic i ici h b u, hil ii ci ic c b c qu. Th lyi bcklh h vi y lybl, ic i vi. Th cli cici c cu i ly 1 iu, ic cu ll vlciy i i c i i ki ilu il l. Fu lyi cc iuil ( iu h qucy 20 Hz liu ): 1. FFT lyi c c ici bcklh, ic ly c qucy vil; 2. All cli cici lly h liibl vii (l 1%), l ch i c qucy liu. Th xci qu c cu, hich h iil ic, ci ici : i bhvi i u hih qu ll c. Thi, cl ici l k bcklh, i iil b c. Scly, c lcicl ilu c vchi hv b vlu, cii cil h-cicui ic cciciy. A yicl bhvi y ui lcicl ilu i i ub-hic c ul vlcii. Thi h i clly c i FFT lyi hih-l c: 1. 1/3 2/3 ulil ul hic l h-cicui; 1/3 hic vi i cibui i liu h ilu i i bv 0.02; 2. 1/6 1/2 ulil hic cc ic cciciy. I i c, 1/6 hic i vili ili hih 1%. Th ub-hic vlu cul b xli by i li:, 8
9 EUROPEAN C P HEALTH M S 2014 h i ul qucy c by FFT vlciy lyi,, i vlciy i Hz, =4 i ub l cul, =3 i ub h. F ub-hic iuc by cil ilu, i i cl y i u ic i h, cl lyi c iiic cibui. Th ic cciciy, i, i cu cbi by ub-hic l ub l cul (i.. 1/6 ubhic, i ) 1/2 ub-hic. Th l c cciciy ci l cul. I b c ub-hic liu h ic : i ul ll c ibl lcicl ilu i il bvi FFT c. I i c, ly cli cici qu h ic b ilu. Th iuil c vi lli ul: 1. A ci, FFT lyi il u ic c qucy; 2. Siiic ul vi by lyi cli cici: i icul, iiic ci ic c b ciz i c cu cil ilu. Filly, -l h b vlu: ll lyz iu h ic i cli cici b ilu, bu vii iiic uh b ly i ic. 7. FAILURE MAPS A lyi il ci ilu, i k cu c u iulu c i ki ilu ci y. T u chiv ily iiici vlui ilu, u vl ul ci chiqu b ilu (FM). A ilu ciu hicl i h y-iv vi uci i y ilu; i, i u l y i vilbl, i iu ll u hich x ci cul ilu h cu. M xcly, ilu ily i ilu x-xi iv y-xi. Ech cuv hich iz i c ilu. A chic i cucil i bi uul ilu. Fily, i hul b uci b. I i bl hich i hihly iiv ch i ilu lvl. I icul, i c ki ilu hul b ic, i.. cuv l hul ic: i u i i, ic i ll c ciic cii ll ibl ilu lvl. Th ic chiqu, i iiy y cii i hih uh ccucy, qui ciic cul ilu. Wh vl ly, i i i y i ch. I c b bi h cu u i c iu: i i y, ch i iu i l. By ui i, i.. i i,, ccu cii ibl ilu i iii. Th ci iu : 1. A iuil iu i qucy 20 Hz liu ; 2. A hih-l c 10 /; 3. A c i liu 0.005, i cu i -l ciui. By ui ul u ui il ilu lyi i uibl i, ll ibl ilu cbii hv b ivi. I u b, i y c, FM uibl ic; cul uh i ( cul cil ilu ic cciciy, i ly lybl ). A cul hich h b uccully ici cil ilu cul, lli bi i. A, ch ly FM ( = ici, i= cil ilu i). Th i (iu 16) cc cli cici C c cu,, bi i iuil iu. Th c (iu 17) cli cici C u ii,, h iu i iv -l y (OL). Filly, l (iu 18) h hih-l iu i cli cici C u vlciy,. Fiu 16. Cli cici C ilu l c cu Siuil iu. 9
10 EUROPEAN C P HEALTH M S 2014 Fiu 17. Cli cici C ilu l u ii OL S iu. Fiu 18. Cli cici C ilu l u vlciy Hih l iu A hv b bi, y c b ly cu, hich i xli i il. Fily, uicl l i iul c by k lvl b ici cil ilu i, cii i c iu: i vi,. A vlu ill ly ilu, ci iicl ii, qul ±5% xiu vii b cuv ch i k i ccu. Th, i i ly i i vlu iiil l cii ibl ilu lvl i bi. Th ivl i c, hich qui l vlu : i ici vi ivl ki ilu. Th cu li i ( hich i ci) i c. Thi hv b uccully ly ub cbii ici cil ilu i, ly uli uh ccu ci ilu lvl ci cu. Th xl h i iu 19 i i ici qu qul u i il vlu (4 NC), 4% cil ilu i ic cciciy i qul 0.05: X u ilu lvl. Fiu 19. Exl lici Filu M I u b cli cici ci iiicly iiv vii iuc i y by l lvl bcklh ic cciciy;, lvl ici cil h-cicui cul b ly ciz lci i c. 8. CONCLUSIONS Thi k cu ch y-iv hich uibl ic civii vl chiqu, lli ci ully-ici ilu ic cu. Th uy h b uic bch (iuli bhvi l EMA cu) il u ki ilu: ici, bcklh, cil h cicui, ic cciciy; by iliici, i uicl l uc bii ii l. Th ilu ci/vlui li h b vl ixi ii iv cl lyi il ( by FFT li) by ic ci b EMA ii l (uh cli cici C); by l uibl ul cu, uul ly cii quiici, hv b iii. Filly, ilu hv b lyi cbi ilu. Thi hv b uccully li y i cbii ci ilu, ui ly uh ccu ci/ii i lvl. REFERENCES Çuk, M., & Ayğu, O. (2010). Rlizi Fuzzy Lic Cll Buhl DC M Div ui Mlb/Siulik. Micl Cuil Alici, vl. 15,. 02, Hlvi Ni, A., Mhblli, H., & Vhi, A. (2009). Mlli, Siuli Ili Fu- Sich Buhl DC M Div B O Sichi Fuci. IEEE EUROCON My 18-23, S.- Pbu (Rui),
11 EUROPEAN C P HEALTH M S 2014 Bll, L., Mi, P., Dll Vv, M. D. L., Alihillj, P. (2009). Dy Fici ci Hyulic M Cl Vlv: Dyic Bhvi Flih Cl. XX Nil C AIDAA. Mil (Ily) Bll, L., Mi, P., Vill, G., & Dll Vv, M. D. L. (2010). A ci b Dy Fici Diciuu Cuil Ali. 27 Iil C Auicl Scic ICAS Sb 19-24, Nic (Fc). Bll, L., & Dll Vv, M. D. L. (2012). A Dy Fici Ml Rbu Cuil Ali Rvibl Ivibl Mi Tii. Iil Jul Mchic Cl (JMC), vl. 13,. 02, , ISSN: Bll, L., Dll Vv, M. D. L., Jczi, G., & Sli, M. (2009). A Pic Ml Elchyulic Svvlv. Pci Aul Cc Pic Hl M Sciy. Sb 27-Ocb 1, S Di (USA). Dll Vv, M. D. L., Jczi, G., Mi, P., & Sli, M. (2010). Iiici Pcu Svvlv Filu Ili Eciv Pic. Iil Cc Rc Avc i Ac Acui Sy C. My 5-7, Tulu (Fc), Bll, L., & Dll Vv, M. D. L. (2006). Mchicl ilu l cl y l ii : l iviv ciui qui i ciul bk. Iil Jul Mchic Cl (JMC), vl. 07,. 02,. 7-20, ISSN: Wlch, P. D. (1967). Th U F Fui T Eii P Sc: A M B Ti Avi Ov Sh, Mii Pi. IEEE Tci ui lccuic, vl. AU-15,. 2. C, A., Lu, A., & Géi, M. (1998). F Fui li vibi lyi. Cuil Mchic, vl. 22,. 02, L, B. K., Ehi, M. (2003). Avc Siuli Ml Buhl DC M Div. Elcic P C Sy, vl. 31,. 9, , ISSN: H, T., Rjh, T. (2006). S Cl Buhl DC M Div Elyi H Chi PWM Tchiqu Ui DSP. Pci Ii Iil Cc P Elcic (IICPE 2006). Dcb 19-21, Chi (Ii), Hk,T. A., Schick, D. E., & Wl E. M. (1999). T-Ph O Div Oi i P M Sychu Mchi Elcchicl Acu. IEEE Tci Ey Cvi, vl. 14, v. 02. BIOGRAPHIES Pl Mi i Mchicl Ac Eii D Plicic i Ti, ji i 1992, h h ch c l y ii. Culy hi u ivlv i jc i hy ul cll il UAV, hl ii lih cl, uli-iciliy i iizi c y i. M D. L. Dll Vv civ M.Sc. Ph.D. Plicic i Ti i , civly. H i culy i ch D Mchic Ac Eii. Hi ch civiy i ily cu uicl y ii, i icul, i ic i, lyi uicl iuli b y vli ic li lih cl y c vchi. Lz Pc u i Ac Eii Plicic i Ti i Sic , h k i ch, lli ui bu y xil i lizi i c il, i cu y vi chiqu. Sic 2012 h i cli PhD i Ac Eii Plicic i Ti, i cibui Thl Ali Sc, cu lici Ml B Sy Eii viici i c iuy. Ali D u i Ac Eii Plicic i Ti i Hi M D i i cu ic chiqu cu. H i culy ki ch i My 2013, i ui lbyi l cyclic. 11
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