Single Tuned Harmonic Filter Design - Research Paper Example

Therefre, the filter re ued t ntrl hrmni in the netwrk. T deign uh filter, it i neery t: Minimiztin 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 determine hw hrly the filter i tuned t the trget hrmni rder. The dmittne f high Q filter dr ff quikly t frequenie bve 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 number; 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 liner 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 red 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 memberhi 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