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Œvb;1b.f;7moŊѴ†0|uॕf=-Œo‰.ŒѶœѴ†0‰hom|;hঋ1b;bm|;]u-1fb‰b;Ѵ†f;7mo=-Œo‰‹1_,bv|;uo‰-mb-ruŒ‹- rj‹‰;llo1‹o7mb1_7of;7mo=-Œo‰‹1_o70bouॕ‰bl-]-Œ‹mॕ‰;m;u]bb;Ѵ;h|u‹1Œm;fŐ0-|;ubb-h†l†Ѵ-- |ouॕ‰őŒƖœĺ)|-hb1_v‹|†-1f-1_1Œ<v|oŒm-f7†f.Œ-v|ovo‰-mb;‰b;Ѵo†Œ‰of;mbo‰;|u-mv=oul-|ou‹f;7mo-=-Œo‰;ķ7oh|ॕu‹1_†Œ‰of;ॉro7j.1Œom;v.f;7mo=-Œo‰;৳uॕ7j-ķo70bou‹bl-]-Œ‹m‹;m;u]bb;Ѵ;h|u‹1Œm;f ŒƐƏœĺŒ<v|ov|ov†f;vb<‰|-hb1_v‹|†-1f-1_1Œ<v|o|Ѵb‰oঋ1bŒm-1Œmb;‰‹৵vŒ;o7vb;1bo‰‹1_ƔƏņѵƏŒŒѶķ ƖœķhouŒ‹v|-f.1Œ|;]oķ৵;‰vŒ‹v|hb;৳uॕ7j-ķo70bou‹bl-]-Œ‹m‹;m;u]bbro7j.1Œom;v.7o†Œ‰of;ॉ|u-mv=ou-l-|ou-ruŒ;Œf;7mo=-Œo‰;bm‰;u|;u‹ĺ"|;uo‰-mb;bm‰;u|;uॕ‰o70bouॕ‰f;7mo=-Œo‰‹1_‰vrॕjru-1†f.1‹1_ Œvb;1b.|uॕf=-Œo‰.rof-‰b-vb<‰Ѵb|;u-|†uŒ;uॕ‰mb;৵‰hom|;hঋ1b;Ѵbh‰b7-1fbmb;v‹l;|ubbru.7ॕ‰bm-rb<ࣀ =-Œo‰‹1_vb;1b|uॕf=-Œo‰;fķro‰o7o‰-m‹1_ruŒ;Œf;7mo=-Œo‰oঋࣀ|‹1_o70bouॕ‰ŒƐƐœĺ)ŒƐƑœrou†vŒomo ruo0Ѵ;l7o0ou†vhof-uŒ;ॉ†Œ‰of;ॉ|u-mv=oul-|ou-|uॕf=-Œo‰;]o7oru-1‹m-o70bou‹mb;Ѵbmbo‰;ķro7h.-|;llbmbl-ѴbŒ-1fbv|u-|lo1‹‰|u-mv=oul-|ouŒ;ĺ;1_.‰vrॕѴm.‰‹lb;mbom‹1_ro‰‹৵;foru-1o‰-ॉf;v| uoŒ‰-৵-mb;|u-mv=oul-|ouॕ‰f;7mo=-Œo‰‹1_Ő7‰†ŊѴ†0‰b;Ѵo†Œ‰of;mbo‰‹1_őѴ†0|u-mv=oul-|ouॕ‰|uॕf=--Œo‰‹1_Œjo৵om‹1_Œf;7mov|;hf;7mo=-Œo‰‹1_ĺ uo0Ѵ;lo7ro‰b;7mb;]ov|;uo‰-mb-bm‰;u|;u-,hou;vrom7†f;Œr†0Ѵbh-1f-lbŒƐƒķƐƓķƐƔœķroঋ‰b<1o-m‹lb|;l-|o‰bv|-0bѴmoঋ1bru-1‹vb;1bmmbo7ro‰b;7mb;]o‰|‹lhom|;hঋ1b;v|;uo‰-mb-bm‰;u|;uॕ‰,ĺ !oŒ‰b.Œ-mb-|‹1_ruo0Ѵ;lॕ‰v.vbѴmb;†Œ-Ѵ;৵mbom;o7blr;7-m1fbvb;1bmmķ-‰b<1uॕ‰mb;৵o7blr;7-m1fb Œ‰-u1bo‰;f|u-mv=oul-|ou-j.1Œ.1;]ovb;ࣀmmŒvb;1b."ĺ)ŒƐƒœŒ-ruoromo‰-mo|-hb;v|;uo‰-mb;bm‰;u-|;uॕ‰ķh|ॕu;lbmbl-ѴbŒ†f;ov1‹Ѵ-1f;ru.7†ķm-rb<1b-blo1‹‰vb;1bmmŒf;7mo=-Œo‰‹lb,ĺ

)‹Œm-1Œ;mb;vhof-uŒ;mb-†Œ‰of;ॉ|u-mv=oul-|ou- 0Ѵb1Œ;mb-v‹l†Ѵ-1‹fm;‰‹hom‹‰-moruŒ;ŒuoŒ‰b.Œ‹‰-mb;uॕ‰m-ॉv‹l0oѴb1Œm‹1_v|-m††v|-Ѵom;]oѴbmbo-‰;]olo7;Ѵ†|u-mv=oul-|ou-|uॕf=-Œo‰;]oŒ|uॕfhoѴ†lmo‰‹lu7Œ;mb;lķ7Ѵ-uॕ৵m‹1_vhof-uŒ;ॉo0†v|uom |u-mv=oul-|ou-ĺuŒ‹f<|olo7;Ѵl-]m;|‹1Œmb;Ѵbmbo‰‹ķ|fĺŒ;v|-j‹lbbm7†h1‹fmoঋ1b-lbķromb;‰-৵mb;Ѵbmbo‰oঋࣀ l-]m;vo‰-mb-u7Œ;mb-mb;‰rj‹‰-m-uoŒrj‹‰ru.7ॕ‰blo1‹‰|u-mv=oul-|ouŒ;|uॕf=-Œo‰‹lŒ-vbѴom‹lm--rb<1b;lŒm-lbomo‰‹lŒƐѵķƐƕœĺolbmb<|ov|u-|‹lo1‹‰u7Œ;mb†|u-mv=oul-|ou-ķf-hou;Ѵ-|‹‰mb;mb;‰b;Ѵhb; bru-h|‹1Œmb;v|-j;‰;‰vŒ‹v|hb1_0-7-m‹1_v‹|†-1f-1_ķŒ†‰-]bm-Œm-lbomo‰;m-rb<1b;Œ-vbѴ-f.1;|u-mv=ou- l-|ouĺ om†l;u‹1Œm;]ouoŒ‰b.Œ‹‰-mb-uॕ‰m-ॉ‰‹houŒ‹v|-mor-hb;|$ĺ&৵‹|o7-m‹1_|u-mv=oul--|ou-uoŒ7Œb;Ѵ1Œ;]ov†1_;]oĹS_NƷѵƒƏh(ķU_1NƷƐƔh(ķU_2NƷƓƏƏ(ķ ‹mƔķI_1NƷƑƓķƔķI_2NƷƖƐƏķf_NƷƔƏ Œĺ,m-lbomo‰;v|u-|‹lo1‹‰†Œ‰of;mb-1_ķ|fĺŒm-lbomo‰;v|u-|‹o01b.৵;mbo‰;‰‹movŒ.ÈP_CuNƷƕѵƏƏ)ĺ )‹mbhbo0Ѵb1Œ;ॉŒ-‰b;u-|-0;Ѵ-Ɛĺ)‹mbhb|;7o|‹1Œ.v‹|†-1fbru-1‹†v|-Ѵom;f|u-mv=oul-|ou-m-o70bou‹u;-Œ‹v|-m1‹fm;o‰-u|oঋ1buॕ‰m;fŒm-lbomo‰;fblr;7-m1fb|u-mv=oul-|ou-ŐR_L = U_2NphaseņI_2Nphaseő‰=-Œ-1_BķC v|uom‹mm|u-mv=oul-|ou-bŒ-vbѴ-mb†=-Œ‹Av|uom‹mmm-rb<1b;lvbm†vob7-Ѵm‹lo-lrѴb|†7Œb;Œ-r;‰mb-f.1;f Œm-lbomo‰‹ru.7blo1|;f=-Œ‹ĹU_2AƷƐķƏƓŏU_2Nphase ĺ"|uom-"f;v|Œ-vbѴom-m-rb<1b;lŒm-lbomo‰‹lĺ!;-]†Ѵo‰-m‹h.|=-Œo‰‹m-rb<1b-U_2Ao7lb;uŒ-m‹f;v|‰Œ]Ѵ<7;lm-rb<1b-=-Œ‹Av|uom‹"ĺuŒ;Œlo1†f;lm. ‰|-0;ѴbƐuoŒ†lb;vb<lo1‰‹7-‰-m.ruŒ;Œ|u-mv=oul-|ou7ovb;1bŒ-vbѴ-f.1;fv|uom<"Ѵ†07ov|-u1Œ-m. 7o|u-mv=oul-|ou-Œ;৳uॕ7j-m-rb<1b-ro7j.1Œom;]o7o=-Œ‹Av|uom‹mmĺuŒ;Œlo17o7-|mb.uoŒ†lb;vb< lo1ro0b;u-m.ruŒ;Œ|u-mv=oul-|ouo7v|uom‹"Ѵ†0ro0b;u-m.Œ|u-mv=oul-|ou-ruŒ;Œo70bou‹ro7j.1Œo-m;7o=-ŒBķCv|uom‹mmĺ

Tabela 1.)‹mbhbo0Ѵb1Œ;ॉ|u-mv=oul-|ou-"ņmm7Ѵ-uॕ৵m‹1_vhof-uŒ;ॉ†Œ‰of;ॉĺ)-u|oঋ1b‰m-‰b-v-1_ 7o|‹1Œ.|‹Ѵhov‹|†-1fbroj.1Œ;mb-v|uom‹"‰|uॕfh.|boŒm-1Œ-f.=-Œo‰;lo1;1Œ‹mm;;=;h|‹‰mb;‰‹lb;-mb-m;Œvb;1b.Œ-vbѴ-f.1.ķ|fĺo0Ѵb1Œom;Œrolbmb<1b;lvhj-7o‰;fv‹l;|u‹1Œm;f0ru.7ॕ‰=-Œo‰‹1_|uॕfh.|-ĺ "hof-uŒ;mb; †Œ‰of;ॉ I₂₀ ņI_2N P_2AņS_N P_2BņS_N P_2CņS_N P₂ ņS_N I₁₀ ņI_1N P_1AņS_N P_1BņS_N P_1CņS_N P₁ņS_N È_Cuņ S_N +_Ə‹_Ə ƏķѵƏ ŊƏķƑѶ ƏķƒƏ ƏķƒƏ ƏķƒƑ ƏķѵƏ ŊƏķƑƕ ƏķƒƑ ƏķƒƑ Əķƒƕ ƏķƏƔ +‹_Ə ƏķƏѵ ƏķƑѶ ƏķƑѶ ƏķƑѶ ƏķѶƓ Ə ƏķƑƕ ƏķƒƑ ƏķƑƖ ƏķѶѶ ƏķƏƓ +‹_ƏķU_2A= ƐĺƑŏU_2Nphase ç_2AƷŋƑƏŽ ƏķƒƏ ŊƏķƐƑ ƏķƐƑ ƏķƔƐ ƏķƔƐ Ə ƏķƏƔ ƏķƐƕ Əķƒƒ ƏķƔƔ ƏķƏƓ ‹_Ə ƏķѵƏ ŊƏķƑѶ ƏķƒƏ ƏķƒƏ ƏķƒƑ ƏķѵƏ ŊƏķƑƕ ŐŊƏķƏƕő ƏķƒƑ ŐƏķƑƓő ƏķƒƑ ŐƏķƑƏő Əķƒƕ ŐƏķƒƕő ƏķƏƔ +_Əz_Ə ƏķѵѶ ŊƏķƒƔ ƏķƒƏ ƏķƒƏ ƏķƑƔ Ə ŊƏķƏƓ ƏķƏƑ ƏķƒƑ ƏķƒƏ ƏķƏƔ +Œ_Ə ƏķѵѶ ŊƏķƒƔ ƏķƒƏ ƏķƒƏ ƏķƑƔ Ə ŊƏķƏƓ ƏķƏƑ ƏķƒƑ ƏķƒƏ ƏķƏƔ Œ_Ə ƏķѵѶ ŊƏķƒƔ ƏķƒƏ ƏķƒƏ ƏķƑƔ Ə ŊƏķƏƓ ŐŊƏķƏƓő ƏķƏƑ

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o7v†lo‰†f.1lo৵m-v|‰b;u7Œbࣀķ৵;Œ-|u-mvrou|lo1‹1Œ‹mm;fŒ=-Œ‹Œ-vbѴom;fv|uom‹mm7o=-Œo01b.৵o-m‹1_o7ro‰b-7-vhj-7o‰-0ru.7ॕ‰ĺ;7m-h৵;ķruŒ‹roj.1Œ;mb†+_Ə‹_Ə lo৵;om-‰‹rj‹m.ࣀ7ovb;1bŒ-vbѴ--f.1;fb7Ѵ-|;]olo11Œ‹mm-mb;f;v||u-mvrou|o‰-m-‰ro৵.7-m‹vrovॕ0ķѴ;1Œ‰‹7-‰-m-7ovb;1b"ĺuŒ‹ roj.1Œ;mb†+‹_Ə vhj-7o‰-0v|uom‹mmruŒ;movblo11Œ‹mm.rolb<7Œ‹=-Œ-lbv|uom‹mmķ-Ѵ;hovŒ|;lbv|o|-m;f7;v‹l;|u‹Œ-1fbm-rb<ࣀ=-Œo‰‹1_|u-mv=oul-|ou-ĺuŒ‹roj.1Œ;mb† ‹_Əvhj-7o‰-Œ;uo‰-ru.7ॕ‰rj‹mb; roo0†v|uom-1_|u-mv=oul-|ou-ķruŒ‹1Œ‹l|u-mvrou|lo1‹1Œ‹mm;fŒ-r;‰mb-ru.7vhj-7o‰;f0rj‹m.1‹ ‰|uॕfh.1b;v|uom‹"ĺuŒ‹roj.1Œ;mb-1_+_Əz_Əķ+Œ_Əķ Œ_Əvhj-7o‰-Œ;uo‰-ru.7ॕ‰Œ-l‹h-vb<‰‹j.1Œmb; rov|uomb;mmķ1ooŒm-1Œ-ķ৵;vhof-uŒ;mb;v|uom‹"f;v|o0of<|m;7Ѵ--m-ѴbŒo‰-m;]oruŒ;movŒ;mb-lo1‹ĺ )mbovhb|;v.-m-Ѵo]b1Œm;7o†Œ‹vh-m‹1_‰ŒƐѶœĺ ,-m-ѴbŒo‰-m‹1_roj.1Œ;ॉŒ-m-fѴ;rvŒ;m-Ѵ;৵‹†Œm-ࣀroj.1Œ;mb-+Œ_Əb Œ_Ə ķromb;‰-৵Œ-r;‰mb-f.om;|u-mv- rou|m-f‰b<hvŒ;f1Œ<ঋ1blo1‹1Œ‹mm;f7ov|-u1Œ-m;f7o=-Œ‹Av|uom‹mm|u-mv=oul-|ou-ķ7oo70bouॕ‰ro7-j.1Œom‹1_7oroŒov|-j‹1_=-Œv|uom‹mmĺ;7mo1Œ;ঋmb;roj.1Œ;mb-|;Ѵ;rb;fmb৵ ‹_ƏbŒm-1Œmb;Ѵ;rb;fmb৵+‹_Ə †|uŒ‹l†f.v‹l;|ub<m-rb<ࣀ=-Œo‰‹1_bruŒ;‰o7o‰‹1_|u-mv=oul-|ou-ĺ

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-ro7v|-‰b;†Œ‹vh-m‹1_‰‹mbhॕ‰o0Ѵb1Œ;ॉ7o7-ѴvŒ‹1_v‹l†Ѵ-1fbruŒ‹f<|o|u-mv=oul-|ouvhof-uŒom‹+Œ_Əĺ )b;Ѵhoঋ1b-lbv|;u†f.1‹lbruŒ;rj‹‰;llo1‹v.ʼn-u|oঋࣀvh†|;1Œm-ou-Œ=-Œ-vbm†vob7-Ѵm;]om-rb<1b-Œ--vbѴ-f.1;]o=-Œ<Av|uom‹mmĺ)b;Ѵhoঋ1b-lbv|;uo‰-m‹lbv.Ĺlo11Œ‹mm-P_2A7ov|-u1Œ-m-7o=-Œ‹Av|uom‹ mmŐu;]†Ѵ-1f-l-m-1;Ѵ††|uŒ‹l-mb;Œ-7-m;fv|-j;f‰-u|oঋ1b|;flo1‹őblo11Œ‹mm-P_1A=-Œ‹Av|uom‹" Őu;]†Ѵ-1f-l-m-1;Ѵ††|uŒ‹l-mb;mb;†f;lm;ff;f‰-u|oঋ1bķ1Œ‹ѴbŒ-0Ѵoho‰-mb;lo৵Ѵb‰oঋ1b‰‹7-‰-mb-lo1‹ 1Œ‹mm;f7ovb;1b"ruŒ;Œ=-Œ<A|u-mv=oul-|ou-őĺ ,lb;mmoঋࣀo0†|‹1_lo1‹‰=†mh1fb‰-u|oঋ1bvh†|;1Œm;fvbm†vob7-Ѵm;]om-rb<1b-Œ-vbѴ-f.1;]o=-Œ<Av|uo-m‹mmruŒ;7v|-‰b-u‹vĺƐĺ)‹mbh-Œmb;]oķ৵;v|;uo‰-mb;o0†lo1‹‰-u|oঋ1b.vh†|;1Œm.m-rb<1b-U_2Af;v| Ѵbmbo‰;ĺ"|;uo‰-mb;=-Œo‰;|‹1_lo1‹lo৵m-†Œm-ࣀŒ-‰ruŒ‹0Ѵb৵;mb†Ѵbmbo‰;ŋu‹vĺƑĺ-|;fro7v|-‰b; Œ7;1‹7o‰-movb<m-v‹m|;Œ<Ѵbmbo‰;]o†hj-7†v|;uo‰-mb-ķor-u|;]oo7‰-u;]†Ѵ-|ou‹ĺb;u‰vŒ‹Œmb1_ u;]†Ѵ†f;lo11Œ‹mm.P_2AŒ-rolo1.‰-u|oঋ1bvh†|;1Œm;fm-rb<1b-U_2Aķ7u†]bu;]†Ѵ†f;lo11Œ‹mm.P_1A za po-lo1.=-Œ‹|;]om-rb<1b-ŋu‹vĺƒĺ 0.98 1 1.02 1.04 1.06 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 U_2A / U_2Nphase (-) Po w er P_2A P_1A P_2A P_1A

!‹vĺƐĺ"|;uo‰-mb;-lrѴb|†7o‰;lo1‹P_1A i P_2AruŒ‹ç_2AƷƏŐѴbmb-mb;0b;vh-ŋo01b.৵;mb;Rķ Ѵbmb-1Œ;u‰om-ŋo01b.৵;mb;RL z 1ovæƷƏķѶő

-6 -4 -2 0 2 4 6 8 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 I_2A (deg) Po w er P_2A P_1A P_2A P_1A

!‹vĺƑĺ"|;uo‰-mb;=-Œo‰;lo1‹P_1A i P_2AruŒ‹U_2AƷƐķƏƓŏU_2NphaseŐѴbmb-mb;0b;vh-ŋo01b.৵;mb;RķѴbmb- czerwona – RL z 1ovæƷƏķѶő 2A 2B 2C N 1A 1B 1C Zigzag / Star Transformer g Ph. N A+ A-RL Load C RL Load B PV DC Source _A P2_A A_LV P2_A Measurement PID P2_A PI Controller PID P1_A PI Controller P1_A A A_MV P1_A Measurement + A1 - A1 A+ A-DC / A-DC Converter U2A_max U2A_phase Gates Controller of inverter N A B C AC Grid Medium Voltage P1_A_ref >0 P2_A_ref <0

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₀ uŒ‹hj-7o‰;ruŒ;0b;]b7‹m-lb1Œm;ruo1;v†u;]†Ѵ-1fblo1‹P_1A i P_2A ruŒ;7v|-‰b-f.u‹vĺƓbƔķ7Ѵ-m-v|-‰u;-]†Ѵ-|ou-lo1‹P_2AʼnŒlo1mb;mb;KrƷƏķƏƏƐƑ(_maxņ)ķ1Œ-vŒ7‰of;mb-TiƷƕƔlvķou-Œu;]†Ѵ-|ou-lo1‹P_1AĹ

KrƷƏķƏƏƐ7;]ņ)ķTiƷƕƔlvĺuŒ;0b;]bŒ-ru;Œ;m|o‰-m;m-u‹vĺƓv|-mo‰b.o7ro‰b;7৳0-7-m;]o†hj-7†

m-vhohf;7mov|ho‰‹lo1‹u;=;u;m1‹fm;fP_2AƷƏķƒS_N‰1_‰bѴb1Œ-vo‰;ftƷƏbvhohlo1‹u;=;u;m1‹fm;fP_1A ƷƏ‰1_‰bѴb1Œ-vo‰;ftƷƐvĺ;7mo1Œ;vm-u;]†Ѵ-1f-o0†lo1‹Ővhohbf;7mov|ho‰;‰-u|oঋ1bu;=;u;m1‹fm‹1_

o0†lo1‹fĺ‰ĺ‰1_‰bѴb1Œ-vo‰;ftƷƏőroh-Œ-m-f;v|m-u‹vĺƔĺ-o0†u‹vĺ‰b7o1Œm-f;v|bm|;u-h1f-rolb<-7Œ‹u;]†Ѵo‰-m‹lblo1-lbĺ)ru-h|‹1;;hvrѴo-|-1‹fm;f|u-mv=oul-|ou-lo৵m-f.†Œm-ࣀŒ--h1;r|o‰-Ѵm.ķ Œ†‰-]bm-|;ulb1Œm.7or†vŒ1Œ-Ѵmoঋࣀ‰b7o1Œm‹1_‰-_-ॉlo1‹b;hvrѴo-|-1‹fmb;-h1;r|o‰-Ѵm‹1Œ-vb1_ |u‰-mb-ĺ 0 0.5 1 1.5 2 -0.35 -0.3 -0.25 -0.2 -0.15 -0.1 -0.05 0 0.05 Pow e rs Time (s) P1A P2A !‹vĺƓĺuŒ;0b;]b1Œ-vo‰;o0†u;]†Ѵo‰-m‹1_lo1‹ķruŒ‹o01b.৵;mb†RL z 1ovæƷƏķѶ 0 0.5 1 1.5 2 -0.35 -0.3 -0.25 -0.2 -0.15 -0.1 -0.05 0 0.05 Pow e rs Time (s) P1A P2A !‹vĺƔĺuŒ;0b;]bo0†u;]†Ѵo‰-m‹1_lo1‹‰=†mh1fb1Œ-v†ķruŒ‹o01b.৵;mb†RL z 1ovæƷƏķѶ !‹vĺѵruŒ;7v|-‰b-v|-|‹1Œm;Œ-Ѵ;৵moঋ1b‰-u|oঋ1bvh†|;1Œm;fm-rb<1b-U_2A o7f;]o=-Œ‹ķro1_o7Œ.1;Œ7Œb--j-mb-†hj-7†v|;uo‰-mb-ĺ)b7o1Œm;f;v|ķ৵;†hj-7v|;uo‰-mb-u;-ѴbŒ†f;v|;uo‰-mb;roѴbmb-1_ruov|‹1_ķŒ; Œlb-m-lb‰‹mbh-f.1‹lbŒ1_-u-h|;u†o01b.৵;ॉŐR vs. RLőbŒ7or†vŒ1Œ;mb-7oro0ou†lo1‹1Œ‹mm;fruŒ;Œ =-Œ<Av|uom‹"ŐP_1A

ƻƏőĺ;]-|‹‰mb;Œ‰u-1-†‰-]<0-u7Œomb;‰b;Ѵh-Œlb;mmoঋࣀ‰-u|oঋ1bm-rb<1b-v|;u†-f.1;]oU_2Abuॕ‰mb;৵f;]o=-Œ‹ĺ)ru-h|‹1;lo৵;|ovro‰o7o‰-ࣀhomb;1ŒmoঋࣀvŒ;u;]o‰;]o7oj.1Œ;mb-7o =-Œ‹Av|uom‹mm7o7-|ho‰;]o7j-‰bh-ķ†lo৵Ѵb‰b-f.1;]oŒ-v|ovo‰-mb;‰b<hvŒ;]o‰-u|oঋ1bo‰ov|;uo‰--mb-Œ-uॕ‰mo-lrѴb|†7o‰;]oķf-hb=-Œo‰;]oķj-|‰b;fvŒ;]o‰u;-ѴbŒ-1fbĺ -4 -3 -2 -1 0 1 2 3 1 1.005 1.01 1.015 1.02 1.025 1.03 1.035 I_2A (deg) U 2A / U 2N p has e (-) P_1A = 0, R load P_1A > 0, R load P 1A > 0, RL load !‹vĺѵĺ_-u-h|;u‹v|‹h--lrѴb|†7o‰oŊ=-Œo‰-v|;uo‰-mb-ŐѴbmb-Œb;Ѵom-ĹP_1AƷƏķo01b.৵;mb;Rĸ Ѵbmb-mb;0b;vh-ĹP_1AƾƏķo01b.৵;mb;RĸѴbmb-1Œ;u‰om-ĹP_1AƾƏķo01b.৵;mb;RL z 1ovæƷƏķѶő

)mbovhbhoॉ1o‰;

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ŐƑőķvĺƕѶƏŋƕѶƖĺ

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ƐƖƖƔķmuƒƔŐѵőķvĺƐƓƔƏŋƐƓƔƕĺ

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Unbalanced Nonlinear Loadsķľ$u-mv-1ঞomvomo‰;u ;Ѵbˆ;u‹ĿƑƏƏѶķmuƑƒŐƓőķvĺƑƏƒƒŋƑƏƓƐĺ

Œѵœ ĺ0o†u-ķ"ĺĺ$o†_-lbķĺĺ,-l-ķ!ĺ$-_lbķĺ$o†_-lbķĺo†]_u-u-ķDynamical Modeling and Analysis

of Asymmetric Unbalanced Three-Phase

TransformersķƑƏƐƔm|Ѵĺ;];-mom=;u;m1;omѴ;1|ub1-Ѵ--1_bm;vşo‰;uѴ;1|uomb1vŐőķƑƏƐƔm|Ѵĺom=;u;m1;omrঞlbŒ-ঞomo=Ѵ;1|ub1-ѴşѴ;1|uomb1 t†brl;m|Ő$őşƑƏƐƔm|Ѵĺ"‹lrovb†lom7ˆ-m1;7Ѵ;1|uol;1_-mb1-Ѵoঞom"‹v|;lvŐ-$!$őƑƏƐƔķvĺѵƑƒŋѵƑƖĺ

Œƕœĺ,;11_bmoķĺ-ubm;ѴѴbķ†mfb;†ķĺorroķ!ĺ$†uubķVoltage Control for Unbalanced Low Voltage Grids

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ŒѶœĺ!-Œlh_-_ķĺ!;Œ-ŒbŒb-mķĺĺof-0-7bķPhotovoltaic Systems Based on Power Electronic

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ƑƏƐƕķvĺƕƓŋƕƖĺ

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Őőķ_-uѴo‚;ƑƏƐƔķvĺƒƏƒƖŋƒƏƓѵĺ

ŒƐƏœ"ĺ-Œu-ķ"ĺ_-‚-1_-u‹-ķ_ĺ_-hu-0ou|‹ķA Novel Control Principle for a High Frequency Transformer

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ŒƐƐœ"冋-m]ķĺb†ķ*ĺ)-m]ķ"ĺ"om]ķ*ĺo†ķComparison of Four Power Electronic Transformer

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ŒƐѶœ$ĺ u-0;hķĺ ‹0o‰vhbķControl of Prosumer Energy Sources in Power Grid Feeded by Three-Phase

Distri-0†ࢼom$u-mv=oul;uķƐƔ|_