Single Tuned Harmonic Filter Design Research Paper

Single Tuned Harmonic Filter Design - Research written report ExampleTherefre, the get across re ued t ntrl hrmni in the netwrk. T deign uh deform, it i neery tMinimiztin f ttl t f the filter (bjetive funtin) ubjet t ertin vlue f filter rmeter (ntrint) i the bigget hllenge fr filter deign. n timiztin re n be defined mximiztin (r minimiztin) f n bjetive funtin, f(x), ubjet t me ntrint f the rblem, g(x). Thee ntrint define the feible regin, i.e. regin tht ntin ible lutin f the rblem. The bjetive funtin i t minimize the ttl t f the filter n be frmulted where F i the ttl filter t R the filter reitne X the fundmentl frequeny itive retne XL the fundmentl frequeny indutive retne Q the qulity ftr X0 the rennt retne min nd mx dente the minimum nd the mximum limit, reetively.The ue f nventinl L tehnique i ulr, ne my ue due t the imliity f ytem mdeling nd bjetive. The qulity ftr model hw hrly the filter i tuned t the trget hrmni rder. The dmittne f high Q filter dr ff quikly t frequenie bv e nd belw it trget vlue. The timl Q fr ingle tuned filter led t hve the lwet hrmni vltge ditrtin.where U the inrementl t f the itr nd it i equl t 170103LE/MVR UL the inrementl t f the retr nd it i equl t 170103LE/MVR n the hrmni physical body K=ntnt=0.4KW/MVR If the fundmentl urrent mnent Ih the hrmni urrent mnent U i ntnt, nd it i equl t The fuzzy facing rgrmming tehnique i ued t minimize the bjetive funtin in Eq. (1) nd tify the filter rmeter (ntrint). ... The imedne f ingle tuned filter (Z) n be exreed (7)t the trget hrmni rder, the filter retne i(8)nd(9)where h i the trget hrmni rder.The ttl filter t bjetive funtin f filter deign f Eq. (1) n be exreed (10)=K1R+K2X+K3XLwhere U the inrementl t f the itr nd it i equl t 170103LE/MVR UL the inrementl t f the retr nd it i equl t 170103LE/MVR n the hrmni number K=ntnt=0.4KW/MVR If the fundmentl urrent mnent Ih the hrmni urrent mnent U i ntnt, nd it i equl t (11)U=8760vFuUuwhere Fu i the Filter utiliztin ftr whih i equl t 1.0 nd Uu i the t f wer l/KWH whih i equl t 0.2 L.E.(12)nd N i the filter life=15 yer I i the interet rte=0.05.3.2. FD uing fuzzy liner rgrmming (FL) timiztin tehniqueThe fuzzy liner rgrmming tehnique i ued t minimize the bjetive funtin in Eq. (1) nd tify the filter rmeter (ntrint). The differene between L nd FL tehnique i tht the vlue nd ertr uing the nventinl L re ri vlue, while, the vlue nd/r ertr f the FL re Fuzzified hrteriti, uing FL tehnique.3.2.1. Fuzzy mdeling f ntrintThe departure tringulr fuzzy mdeling fr the filter reitne i hwn in Fig. 1. It i een tht, memberhi funtin fr the reitne i equl t 1 igned t Rmed, eh mnent f filter i rereented by tw liner ntrint the lwer limit nd the uer limit. The lwer limit memberhi fr the reitne f the filter i deribed fllw(13)nd the uer reitne limit memberhi i(14)imilrly, the red tringulr fuzzy mdeling fr the itive retne i hwn in Fig. 2. The lwer limit memberhi fr the itive retne f the filter i deribed fllw(15)nd the uer itive retne limit member hi i(16)imilrly, the red tringulr fuzzy mdeling fr the indutive retne i hwn in Fig. 3. The lwer limit memberhi fr the indutive retne f the filter i deribed