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» 40  » 11 ù È ï“d ¹Ð eÅ Vol.40 No.11 2012 M 6 1 ° Power System Protection and Control Jun. 1, 2012 ±© ¹s fÖZ  ¦Ñ  ¸½î  ¦ .î     öêvÐÈ ýñÐý öê6 2  ÊÈ ï ³_©s ³ Ê ÊÜ K1 ±©Ÿ[•Y ¹¥y ÍÉ› s4 ±©¥ ¹ÅiÉ› _‡b±©“d †¥ ¹¶ I n IM TÈ÷¥K T¨„±© _Ö ŸÎ¶8† I nY¥‹¨ ¹‚]›Z T/¥ a‹ŸÐ eÅZ T¥xØŸ [îT HW¥† Ø Â©Ù5bƒty ÍÉ›s¥ 4 ±©¥ ¹Å¿L p¨ ó ¹ ¿µ€p¨òMÈ O „T¹p ‘ bùîÏ æ¨/ç [2] b ³ DG ¤ ÆíÙ5¥ZE ¨±©/ Œ Âm 1b Ä ±©‚“ {ÿ qœ8ïC µ€ŸyN¿±©“†ðµ ¹‚öÁ 3‚ æ•Yb“†p H±©YV 7ÐÈ©¤Ä PCC LC››KvK¹ æ¨ DG Ÿ4Ú †¨¼È¥ V LŸbŒ †p H±© ¹ Î ë “¸Ù5­  ’±©cµ¿ IM ¥ sƒ TÈ÷ Hb m ±©²m Fig. 1 Schematic of the microgrid - 56 - È ï“d ¹Ð eÅ ¥È©¥ ¹û ¿ VÈ ¥7±© Ï{ IM  DG ûö y ÎY‹K  vyN p f ƒ/íE4v¥ È  P.dV  ¹íqíEžÈ î [3] bÓD [4]YV|±©s î†s Ÿ É› ¹p Hº³|M‹†s M“ VŒ  ¹ZE1 ¯³18† I n dd a,b,c,n k k II I     ,½È µ½È [³ 1] 4â ¹„îT HW© ¥†7 O|±©s¹ †s¥ZE9‚ æ¿KvK æ¨ DG†®  †s¨¼¥È V LŸbÓD [5] 9  ,È  ‹¨¿±© ,È ‚ µZ_Ÿ V[  „/L É› ¹Œ ÓÏiÃÉ›Ú ’¥ _‡¾ ¹ZE„È ¥ L¨Ÿ´¤  ‘bÓ D [6-7]¨  ”3È ¾ Ë˜È  V[_© VÈ V / 4â O VIñ V LCMº­W¥Y ¾ ¹ZE 1 p ÚbÓD [8]| î©Èâ О dq US –ª|Mª¥Èâ]• IÈâM1  µ´v¿îT´5KC u u“p¥ us YV‚]È ­W¥Y LC ‹¿ŒŸ¥ ¹ Àµ I n DG eÅZ T‚] H Ô q¥•Yb Óö1 Œ  Ù5V±© ¹s¥  4 ±© ¹¥Btn ð5 ZEe†aY ‹á Îb ±©Ÿ ¹³ I nÙ5 ÐvÈ©‚]±©¥ ¹Ð› µ1-¥  yŸb ±©Ö  †¥² ç ±©¥ _Ö Ÿ.d  ¹Ï¥Ê4Ÿð5±© ¹Ï 4 ¡ [9] b ±©ÏBîô ‚]È÷¥Ä |‚]¥ eÅZ T¿„ ïÈ„;™Èƒt {ÿ q s •Y1 v¥È÷ ÏYV ¥  Â¥ ZE Pƒ ËÈ÷ô µ€³ pØœÈ 5³1 ¥ v ¸ ¥  ƒö†®“d¥Ü6Ÿ yNƒ Ë V 3 ÷¥ “S  ûKv¥ æ¨ q sƒ TÈ÷ { ÿ qü { ÿ q [10] ± © 9 HBîö ¡N ËÈ÷o ¬ ¨p¥Äb ƒüF  ±©ÏÖ î¥‚ ’çŸ 9 ¹ ZE H‹Ð V Sž‚ sÖ ¥•Yb Y ]©Èâ© ¥È©ÏBî ¨¿ Y¥ ¹b±©Ïp¥ ‘ ¹¯µ H ³1 æ¨Ä¥ ¹ »û±©¥ç9³ 1 ’ p  H¹ M“b¿Y¥ ¹ V[ “z¹›îƒtÿ b ±©L ‚ö þɹä ÜP·ZL ¡¥ ë b Â|±©T¹ µ››ÿ ¥Æ ¥È©B†s¥˜ Ÿ I n‹ MMSÆ ±©5 Ø“d [11]  Âm î Ub MMS ¹ ’ ±© KÜ6µr¹›³]±©¥òñ†s û ó“ † Ø  MMS ÿ ¥ f ƒ/ V I n| ¹ Â] M²†€°¤ æ¨ Y¡h “d¥ g b  ¹‚]›Z T/¥ a‹Ÿ ±©; V[i©›» V[ÿ ë›¥Ä ó ¹¥ 9{ Ÿ ¥G››Hq/  È ® DG 4¿ IM ¥ DG íE4 v¥ È bi©Hq/ È VYV ÝFç Ø ŸsÈ© 4“v¥ È  I M  DG4¥ È º] È “l¥B† s [12] bƒ Õ›Z T/ È µY“v BÕ›Z T/ V›¥ ¹ZE 6BÕ›Z T / V M¤‚ V›b mÝFð ØspÈ  Fig. 2 Analysis of the fault current by means of superposition theorem ¿ È ¥ƒtÄBîµ Õ‹Z E [9] B ÂKÅHq P ¹ V[Œ‚]¥ ›Z T  9 V[ a¨¿ Õ›Z T¥ ¹ ¦ {b Ï -€ VYV‚]›Z T/pÈ ¥ 9 Ø ŸœçM ¸ LCŒ yKÅHq¥ F Æ P¤ ¹M¤¯bª€ V[YVB* ¹T ¨¿‚]¥›Z TŒ  ¹ a‹Ÿ¥1 p1  Úb p M“ HW ±©Ï¥sƒ TÈ÷¨È ïÈ0¤ gƒ P¤±© µ Œ 8ŸaY‹ Î y©Äb ϐ ¨ ¥È©M]Èâ©/¥p M“ HW ¸ P ±©“d €çb p M“ HW΋¾ I nžµ€¥ ùËñ  £p M“ª“dÎ  ûçb è ÂÈî µ€ î]¥1 èv “¸p M“ HW  Ø M pÄ ÖË‹Èîµ€ÄÍ “¸p b“ HW [10] b ‚] eÅZ TÐ ¹¥‹ DG ¥ eÅ ±© eÅ¥ “ -1¿ DG fÖZ© ±© ¹s - 57 - ¥ eÅZE¥ùî1  [13] Èn¥µšâš Ô e Åa PQ eÅa P-fQ-V/ÈMÄb sƒ TÈ÷ eÅZEÉ› 9 H‹¾ I nžp f ƒi |A1n  è  ”´K–K C HW ¥†© ] H ¹Z T9‹¾ s¹ I nž DG eÅZ T¥•Y 9Ћ eÅZ TMxØ ¥ ¹ V a¨¿ © eÅZ T¥ ¹b  ¹ 9 ]vÈ©B“±© † 3p HYÈ‚ ¬°¤ MÕÈ÷7 YV ¹ Â¥Ê4Ÿ| p†s M“ £±©“d¥çžÈ†s¥ Èb±©“d  tÈ÷“4È ïµ€“ Τµ  ð™ T¥µ€1  £µ€yN÷‚  M“ƒtÈ÷b ¿pÊ Ÿ•Y±©¥pÉ›s Ë V s¹ Â/ ØÕ f ƒ m 1 1 ¥È©p F1 2± © †L p F2 3±© †µ€p F3b  Ï F1 ‹¿±© u“p ÓÃÍùîb ¿ F2 p V¨ ó ¹b ó ¹YV 1  ¹íq  ¥È  © Ÿ LC‚i ÐM íq¥ ¥†Ù5‚ö sž IM  eÅZ TK T¨¥•Yb O ó ¹Y‹á Î  H |pL M“‚À¿y¹p HW þÉ7 P± © b F3 ˘p¹k ,½È  ¹¥ð Ø |ò MÈ O „T¹p ‘ b[’™ÏŸÄ‚¤¹ „¤¹ Õµ€¤LZ T¹ è¿ -€ V |ò MÈ O „ d abc k k ii   T¹p ‘ m 3ab ª€YV† ØØœL  m 3bg V[ |¤ò MÈ O „ d a,b,c,n k k ii    bà 3p f ƒ/ d i 0’ ¹ u  3‚뤹p H d i ˜0 çîT´ V LCp/¥ž ’îTb¾ ¹Z EºQ‹ ¹ u †¥‚뤹p‚ö s ž IM  eÅZ TK ¥•Y OîTá Îb®¿ ±© ‚ö þv †µ€L ¥Øœ9‚ö/ î þv¥-“g ] H9« 8  ¹ ­W¥ ó ŽL b I nž  LCZEÐ eÄ H¾  ¹]“ V[ºÊ4È Z_É›1 b mµ€p ¹ Fig. 3 Protection of load faults a. ungrounded b. grounded  îµpφM¤¹p î]1 è Ú [ ZE V[ LCƒt ” f ƒp¥ ¹b Ï  tµ€¿ ¹µ Ú1 p VØœL  ÄM† ÿÉ› ¹ð Ø Âm 4 î U¾ZE]“ a¨¿ †Mµ€¥ ¹b m ÄMÉ› ¹ Fig. 4 Protection of each phase ’L  ¹€µ€ ¹ 2 H¶ HK 7 M1 DGb[ DG  4â ¹¹ è¾ 4â ¹ ‹¾ HWüþ  v[   ð ¹îT¥ H Wb _‡Ðs  ÓÊ |m 1±©Ï¥BH ŒLÉ›_‡ùî  m 5b±©¹ 380 VÈâ© ŒL¤µ ñµ € ñ DGDG eÅZ T Âm 6 î U Ï V dc 800 V IM  g LC ro  L f 0.6 mHC f 1 500 μFb DG ¸  P50 kW±©L Bî  ¨ E F ˜_‡Ï[1 óÈEÈË  E R l 0.0641 ΩL l 0.032 mHb±©›Z T› H DGºó 1µ€ Load1 ȵ€¨’™¤LÈEÈË 1 ó ˜ R 1.25 ΩL1 mHb - 58 - È ï“d ¹Ð eÅ m ùî ©² Fig. 5 Schematic of the microgrid in this paper  eÅZ T DG eÅZ T98² Âm 6 î Ub m eÅZ T98² Fig. 6 Schematic of a DG control system DG¨ P-fQ-V/o¡f L ´¢ 1Ä , © . ±˜È©/ Œùî [J]. 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Power System Protection and Control, 2010, 3819 235-239.  Pogaku N, Prodanovic M, Green T C. Modeling, analysis and testing of autonomous operation of an inverter-based microgrid[J]. IEEE Transactions on Power Electronics, 2007, 22 2 613-625.  là ° ù   ©í ° ù   T€eº fÖZ   3ùî 3ö1ùîZ_¹È ¹a±© eÅÐ ¹ E-mail yuhai9798 sina.com ¦Ñ   3p V¬ qö1ùîZ_¹ È ï  ÿS©Ð½ †›b 
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