鎽樿锛氶浕瀹瑰櫒鍎�(y艒u)鍖栭厤缃拰鎶曞垏鏄厤闆荤恫(w菐ng)绲�(lu貌)鍎�(y艒u)鍖栫殑涓€闋�(xi脿ng)閲嶈鍏�(n猫i)瀹�銆傚洖椤т簡闆诲鍣ㄥ劒(y艒u)鍖栭厤缃拰鎶曞垏鐨勭爺绌舵鍙插拰鐧�(f膩)灞曠従(xi脿n)鐙€锛屽伌(c猫)閲嶅皪(du矛)闆诲鍣ㄥ劒(y艒u)鍖栨姇鍒囩殑鍚勭ó绠楁硶閫�(j矛n)琛屼簡瑭崇窗(x矛)瑭�(p铆ng)杩帮紝鍒嗘瀽浜嗗悇绋畻娉曠殑鐗归粸(di菐n)鍙婂瓨鍦ㄧ殑鍟忛锛屼互淇冮€�(j矛n)瑭茬爺绌堕牁(l菒ng)鍩熺殑閫�(j矛n)涓€姝ョ櫦(f膩)灞�銆�
闂�(gu膩n)閸佃锛氶厤闆荤恫(w菐ng)绲�(lu貌) 闆诲鍣� 閰嶇疆 鎶曞垏 绠楁硶
1寮曡█
闆诲鍣ㄤ綔鐐洪厤闆荤恫(w菐ng)鐒″姛瑁�(b菙)鍎�?sh霉)闂瑰尵顎砄(sh猫)鍌欙紝鍦ㄩ厤闆荤郴绲�(t菕ng)涓寤f硾浣跨敤銆傞€氶亷鍚堢悊鍦板湪閰嶉浕绯荤当(t菕ng)涓厤缃拰鎺у埗闆诲鍣�锛屽彲浠ユ彁楂橀厤闆荤郴绲�(t菕ng)鐨勯浕澹撹唱(zh矛)閲忥紝鏀瑰杽鍔熺巼鍥犵礌锛岄檷浣庣恫(w菐ng)绲�(lu貌)鎼嶈€�锛屽鍔犵郴绲�(t菕ng)瀹归噺銆�
閰嶉浕缍�(w菐ng)绲�(lu貌)闆诲鍣ㄥ劒(y艒u)鍖栧晱椤屽垎鐐鸿(gu墨)鍔冨拰閬�(y霉n)琛屽叐澶ч銆傝(gu墨)鍔冨晱椤屼富瑕佺⒑瀹氶浕瀹瑰櫒鐨勫畨瑁濅綅缃�銆侀鍨嬪拰椤嶅畾瀹归噺锛屽湪婊胯冻闆诲绱勬潫鐨勬浠朵笅浣挎姇璩囪不(f猫i)鐢ㄦ渶浣�銆傝(gu墨)鍔冨晱椤屼篃绋遍浕瀹瑰櫒鍎�(y艒u)鍖栭厤缃晱椤�銆傞亱(y霉n)琛屽晱椤屾槸鍦ㄧ従(xi脿n)鏈夌劇鍔熻ō(sh猫)鍌欓厤缃紙闆诲鍣ㄧ殑浣嶇疆鍜屾渶澶у閲忓凡瀹氾級鐨勫熀绀�(ch菙)涓�锛屾牴鎿�(j霉)瀵�(sh铆)闅涜矤(f霉)鑽风殑璁婂寲锛岀⒑瀹氬彲鎶曞垏闆诲鍣ㄧ祫鐨勬姇鍒囨柟妗�锛屼娇缍�(w菐ng)鎼嶏紙鑳借€楋級鏈€灏忔垨閬�(y霉n)琛岃不(f猫i)鐢ㄦ渶浣�銆傞亱(y霉n)琛屽晱椤屼篃绋遍浕瀹瑰櫒鍎�(y艒u)鍖栨姇鍒囧晱椤�銆傘€€銆€
鑷緸涓婂€�(g猫)涓栫磤(j矛)50骞翠唬浠ヤ締锛屽苟鑱�(li谩n)闆诲鍣ㄧ殑鏁堢泭鍟忛涓€鐩村緱鍒扮鎶€宸ヤ綔鑰呯殑闂�(gu膩n)娉�锛屾湁闂�(gu膩n)鏂囩嵒(xi脿n)闈炲父涔嬪[1,2]锛屼絾澶ч兘鏄緸瑕�(gu墨)鍔冭搴︿締鐮旂┒锛堝嵆闆诲鍣ㄥ劒(y艒u)鍖栭厤缃級锛岃€屽緸閬�(y霉n)琛岃搴︿締鐮旂┒闆诲鍣ㄥ劒(y艒u)鍖栨姇鍒囩殑鏂囩嵒(xi脿n)杓冨皯銆傞棞(gu膩n)浜庨浕瀹瑰劒(y艒u)鍖栭厤缃晱椤屽凡鏈夌浉闂�(gu膩n)鏂囩嵒(xi脿n)缍滆堪浜嗗叾鐮旂┒鐧�(f膩)灞曠殑閬庣▼[3-6],鏈枃鍋�(c猫)閲嶅皪(du矛)闆诲鍣ㄥ劒(y艒u)鍖栨姇鍒囧晱椤岀殑绠楁硶閫�(j矛n)琛屾绱嶇附绲�(ji茅)銆�
2 闆诲鍣ㄥ劒(y艒u)鍖栭厤缃�
闆诲鍣ㄥ劒(y艒u)鍖栭厤缃晱椤屾槸鍦ㄦ豢瓒冲悇绋笉鍚岃矤(f霉)鑽锋按骞充笅鎵€鏈夌瓑寮忓強涓嶇瓑寮忕磩鏉熸浠剁殑鎯呮硜涓�锛岀⒑瀹氶厤闆荤郴绲�(t菕ng)涓厤缃浕瀹瑰櫒鐨勪綅缃�銆佸ぇ灏忎互鍙婃暩(sh霉)鐩互鐛插緱鏈€澶х殑鏀剁泭銆傞€欐槸涓€鍊�(g猫)娣峰悎鏁存暩(sh霉)闈炵窔鎬х祫鍚堝劒(y艒u)鍖栧晱椤�锛岀洰妯�(bi膩o)鍑芥暩(sh霉)涓嶅彲寰�銆傛枃鐛�(xi脿n)[3-6]闂¤堪浜嗛浕瀹瑰櫒鍎�(y艒u)鍖栭厤缃晱椤岀殑鐮旂┒鐧�(f膩)灞曢亷绋�?锛�?
銆€鐢变簬缂轰箯楂樻晥鐨勮▓(j矛)绠楀伐鍏�锛屾棭鏈熸櫘閬嶉噰鐢ㄨВ鏋愭柟娉曪紝閫欒姹傜洰妯�(bi膩o)鍑芥暩(sh霉)鏄€g簩(x霉)鍙井鐨�銆傜偤寰楀埌閫欐ǎ鐨勭洰妯�(bi膩o)鍑芥暩(sh霉)闇€瑕佸仛涓€浜涜垏瀵�(sh铆)闅涙儏娉佷笉绗︾殑绨�(ji菐n)鍖栧亣瑷�(sh猫)锛屽瑾�(r猫n)鐐洪浕瀹圭殑浣嶇疆鍜屽ぇ灏忔槸閫g簩(x霉)璁婇噺銆侀绶氭埅闈㈠潎绛変互鍙婂悇榛�(di菐n)璨�(f霉)鑽锋寜绲�(t菕ng)涓€鐨勬ā寮忚畩鍖栫瓑銆傜洝绠′綔浜嗛€欎簺鍋囪ō(sh猫)锛屽湪澶氭暩(sh霉)鎯呮硜涓嬫墍寰楀埌鐨勭洰妯�(bi膩o)鍑芥暩(sh霉)浠嶇劧鐩哥暥(d膩ng)寰�(f霉)闆�锛岄€欓鏂规硶鐨勪富瑕佺己榛�(di菐n)鏄墍寰楀劒(y艒u)鍖栫祼(ji茅)鏋滆垏瀵�(sh铆)闅涙儏娉佷笉绗�銆�
闅ㄨ憲瑷�(j矛)绠楁(j墨)鎶€琛�(sh霉)鐨勭櫦(f膩)灞曪紝鍚勭ó鏁�(sh霉)瀛�(xu茅)瑕�(gu墨)鍔冩柟娉曡鎳�(y墨ng)鐢ㄤ簬瑙f焙闆诲鍣ㄥ劒(y艒u)鍖栭厤缃晱椤�锛屽叾涓儴鍒嗘柟娉曡兘澶�?q奴)銏﹀钀滈灟濂堟仮鐓ょ棝绗€�?d膩ng)鎴愰洟鏁h畩閲忚檿鐞�锛岄€欑浉灏�(du矛)浜庤В鏋愭柟娉曚締瑾槸涓€澶ч€�(j矛n)姝ャ€傝┎椤炴柟娉曢洊鐒跺彲浠ュ緱鍒版渶鍎�(y艒u)瑙�锛屼絾瑷�(j矛)绠楃箒闆�锛屾晥鐜囪純浣�銆�
閫�(j矛n)鍏�90骞翠唬浠ヤ締锛屽暉鐧�(f膩)寮忔柟娉�銆佷汉宸ョ缍�(j墨ng)缍�(w菐ng)绲�(lu貌)锛圓rtificial Neural Networks, ANN锛�/灏堝绯荤当(t菕ng)鏂规硶銆佸熀浜庨毃姗�(j墨)鍖栧劒(y艒u)鍖栨妧琛�(sh霉)鐨勬柟娉曪紙鍖呮嫭閬哄偝绠楁硶锛圙enetic Algorithm, GA锛�銆佹ā鎿€€鐏紙Simulated Annealing, SA锛変互鍙婄蹇屾悳绱紙Tabu Serch, TS锛夌瓑锛夊湪閰嶉浕缍�(w菐ng)闆诲鍣ㄥ劒(y艒u)鍖栭厤缃晱椤屼腑寰楀埌鎳�(y墨ng)鐢�銆傜浉灏�(du矛)浜庤В鏋愭柟娉曞拰鏁�(sh霉)瀛�(xu茅)瑕�(gu墨)鍔冩柟娉曚締瑾�锛屽暉鐧�(f膩)寮忔柟娉曚互鍙婂皥瀹剁郴绲�(t菕ng)鏂规硶鐩磋锛屾槗浜庣悊瑙o紝瀵�(sh铆)鐝�(xi脿n)璧蜂締绨�(ji菐n)鍠�锛屼絾鏄笉鑳界⒑淇濆緱鍒版渶鍎�(y艒u)瑙�锛涢嚌灏�(du矛)涓嶅悓鐨勯厤闆荤郴绲�(t菕ng)璨�(f霉)鑽风媭鎱�(t脿i)锛屽皣浜哄伐绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)鏂规硶鎳�(y墨ng)鐢ㄤ簬闆诲鍣ㄥ劒(y艒u)鍖栭厤缃渶瑕侀牷绻佽〒(x霉n)绶存ǎ鏈�锛屽皪(du矛)浜庝竴鍊�(g猫)鏈変竴瀹氳(gu墨)妯$殑閰嶉浕缍�(w菐ng)锛岃寰楀埌鎵€鏈夊彲鑳界殑璨�(f霉)鑽锋ā寮忔槸鍥伴洠鐨�锛岃€岃〒(x霉n)绶存ǎ鏈篃闇€瑕佸ぇ閲忕殑鏅�(sh铆)闁擄紱鍩轰簬闅ㄦ(j墨)鍖栧劒(y艒u)鍖栨妧琛�(sh霉)鐨勬柟娉曠敱浜庤兘鏈夋晥铏曠悊涓嶅彲寰殑鐩(bi膩o)鍑芥暩(sh霉)锛岀壒鍒ラ仼鍚堜簬瑙f焙绲勫悎鍎�(y艒u)鍖栧晱椤岋紝瀵�(sh铆)韪愯瓑鏄庨€欎簺闅ㄦ(j墨)鍖栧劒(y艒u)鍖栨柟娉曞叿鏈夋瘮鍌崇当(t菕ng)鍎�(y艒u)鍖栨柟娉曟洿濂界殑鍏ㄥ眬灏嬪劒(y艒u)鑳藉姏锛屼絾鍏舵敹鏂傛€у強瑷�(j矛)绠楅€熷害鏈夊緟閫�(j矛n)涓€姝ユ彁楂樸€�
3 闆诲鍣ㄥ劒(y艒u)鍖栨姇鍒�
閰嶉浕缍�(w菐ng)闆诲鍣ㄥ劒(y艒u)鍖栨姇鍒囨槸鐢ㄤ締姹哄畾閰嶉浕绯荤当(t菕ng)涓凡瀹夎鐨勯浕瀹瑰櫒绲勫湪涓嶅悓璨�(f霉)鑽风媭鎱�(t脿i)涓嬬殑鎶曞垏绛栫暐锛堝皪(du矛)浜庡彲瑾�(di脿o)闆诲鍣ㄧ祫锛岄倓瑕佹焙瀹氭姇鍒囩殑绲勬暩(sh霉)锛�锛屼互閬�(d谩)鍒版笡灏忕郴绲�(t菕ng)閬�(y霉n)琛屾檪(sh铆)鍔熺巼鎴栬兘閲忔悕鑰楃洰鐨勭殑涓€绋亱(y霉n)琛屾帶鍒舵墜娈�銆傛寜鐓ч亱(y霉n)鐢ㄧ殑鍎�(y艒u)鍖栨柟娉曚笉鍚岋紝鍙互灏囧叾鍒嗙偤浠ヤ笅骞鹃銆�
3.1 鍌崇当(t菕ng)鏁�(sh霉)瀛�(xu茅)瑕�(gu墨)鍔冪畻娉�
1锛� 闈炵窔鎬ц(gu墨)鍔�
1982骞达紝Grainger绛夌巼鍏堢敤闈炵窔鎬ц(gu墨)鍔冭В姹洪浕瀹瑰櫒鍎�(y艒u)鍖栧晱椤�锛岀敤鎭掗浕娴佹ā鍨嬫ā鎿矤(f霉)鑽峰拰闆诲鍣�锛屾(g貌u)閫犱簡鐩告噳(y墨ng)鐨勬暩(sh霉)瀛�(xu茅)妯″瀷锛屽苟閫�(j矛n)琛屼簡涓€绯诲垪鐨勭爺绌跺伐浣淸7-10]銆傜敱浜庢墍妲�(g貌u)閫犵殑妯″瀷[7-9]鐒℃硶鑰冩叜鍏冧欢鐨勯浕澹撻潨鐗规€э紝鏁呭叿鏈変竴瀹氱殑灞€闄愭€�銆�1985骞达紝Grainger[11]灏囩爺绌舵帹鍚戞繁鍏�锛屽紩鍏ヤ簡妯�(bi膩o)婧�(zh菙n)鍖栫瓑鏁堥绶氱殑姒傚康锛岃В姹轰簡甯舵梺鏀殑杓冨京(f霉)闆滈厤闆荤恫(w菐ng)绲�(lu貌)鐨勭劇鍔熼浕澹撴帶鍒跺晱椤�锛屽皣鍏跺垎瑙g偤闆诲鍣ㄥ拰闆诲瑾�(di脿o)绡€(ji茅)鍣ㄥ叐鍊�(g猫)瀛愬晱椤岋紝鐢ㄩ潪绶氭€ц(gu墨)鍔冩硶姹傝В銆傚湪闆诲鍣ㄥ瓙鍟忛涓悓鏅�(sh铆)鑰冩叜浜嗚(gu墨)鍔冨拰閬�(y霉n)琛�锛岀⒑瀹氫簡鍦ㄤ綍铏曞畨瑁濆澶у閲忕殑闆诲鍣�銆佷互鍙婂浣曟帶鍒堕€欎簺鍥哄畾鐨勫拰鍙帶鐨勯浕瀹瑰櫒浠ヤ娇骞寸稖鍚堣不(f猫i)鐢ㄦ渶浣庯紝鍗冲湪鑰冩叜闆诲鍣ㄥ畨瑁濊不(f猫i)鐢ㄧ殑鍩虹(ch菙)涓婇€氶亷鍎�(y艒u)鍖栨姇鍒囬浕瀹瑰櫒浠ユ渶澶ч檺搴﹀湴绡€(ji茅)绱勯浕鑳�銆備笂杩版枃鐛�(xi脿n)涓�锛屽彧鏈夋枃鐛�(xi脿n)[9]鑰冩叜鍒伴浕瀹瑰櫒鐨勬暣鏁�(sh霉)绱勬潫锛屼笖鐢ㄥ垎鏀畾鐣屾硶姹傝В锛涘叾浠栨枃鐛�(xi脿n)[7-8锛�10-11]閮芥妸闆诲鍣ㄧ殑浣嶇疆鍜屽ぇ灏忕暥(d膩ng)鎴愰€g簩(x霉)璁婇噺锛岃垏瀵�(sh铆)闅涙儏娉佷笉绗�銆�
銆€銆€2锛� 绶氭€ц(gu墨)鍔�
銆€銆€閯т綉婊縖12]寰炲(sh铆)鏅�(sh铆)鎺у埗瑙掑害鐮旂┒闆诲鍣ㄥ劒(y艒u)鍖栨姇鍒囩殑鑷�(t谩i)鏁�(sh霉)鍟忛锛屾帹灏�(d菐o)浜嗗叾閫愭绶氭€ф暣鏁�(sh霉)瑕�(gu墨)鍔冩ā鍨�锛屽苟鎻愬嚭浜嗛仼鍚堥厤闆荤恫(w菐ng)闆诲鍣ㄦ姇鍒囩壒榛�(di菐n)鐨勫皪(du矛)鍋舵澗寮涜В娉曞拰閫愭姝告暣娉�銆傛墍寰楁ā鍨嬬啊(ji菐n)娼�锛屾眰瑙i亷绋嬬劇闇囪暕鐝�(xi脿n)璞�锛屾敹鏂傚揩锛岃▓(j矛)绠楅噺灏�銆備絾鍎�(y艒u)鍖栫祼(ji茅)鏋滀緷璩翠簬缍�(w菐ng)绲�(lu貌)鐨勫垵濮嬬媭鎱�(t脿i)锛屽皪(du矛)浜庡悓涓€鍊�(g猫)绯荤当(t菕ng)锛岀暥(d膩ng)闆诲鍣ㄧ郸瀹氱殑鍒濆€间笉鍚屾檪(sh铆)锛屽叾鍎�(y艒u)鍖栫祼(ji茅)鏋滀笉鍚�锛屽悓鏅�(sh铆)閫愭姝告暣鎵€寮曡捣鐨勮宸彇姹轰簬闆诲鍣ㄧ殑鍠嚭(t谩i)瀹归噺銆備綔鑰呭湪鏂囩嵒(xi脿n)[13]涓€�(j矛n)涓€姝ョ敤妯$硦闆嗕腑鐨勬褰㈡ā绯婃暩(sh霉)鑰冩叜浜嗛爯(y霉)娓�(c猫)璨�(f霉)鑽峰€肩殑涓嶇⒑瀹氭€�锛屽苟鐢ㄩ€愭绶氭€ф暣鏁�(sh霉)瑕�(gu墨)鍔冨劒(y艒u)鍖栦笁鐩镐笉骞宠 绯荤当(t菕ng)鐨勯浕瀹瑰櫒鎶曞垏銆�
銆€銆€Teng J H鍦ㄦ枃[14,15]涓垎鍒ヨ€冩叜鍦ㄤ笉骞宠 鍜屽钩琛¢厤闆荤郴绲�(t菕ng)涓浣曞埄鐢ㄥ父鐢ㄧ殑绶氭€ц(gu墨)鍔冩妧琛�(sh霉)瀵�(sh铆)鐝�(xi脿n)闆诲鍣ㄧ殑瀵�(sh铆)鏅�(sh铆)鍎�(y艒u)鍖栨帶鍒�銆�
銆€銆€3锛� 浜屾瑕�(gu墨)鍔�
銆€銆€Wang J C[16]鑰冩叜涓嶅皪(du矛)绋遍厤闆荤恫(w菐ng)涓浕瀹瑰櫒鍎�(y艒u)鍖栧晱椤�锛屽缓绔嬪叾鏁�(sh霉)瀛�(xu茅)妯″瀷锛屾妸鍟忛鍒嗚В鎴愬叐鍊�(g猫)瀛愬晱椤岋細闆诲鍣ㄩ厤缃晱椤屽拰瀵�(sh铆)鏅�(sh铆)鎶曞垏鍟忛锛屽苟鐢ㄤ簩娆℃暣鏁�(sh霉)瑕�(gu墨)鍔冩硶姹傝В銆�
銆€銆€4锛� 鍕�(d貌ng)鎱�(t脿i)瑕�(gu墨)鍔�
銆€銆€Hsu Y Y绛塠17]鎻愬嚭浜嗕竴绋⒑瀹氭湭渚�24灏忔檪(sh铆)楗嬬窔闆诲鍣ㄦ渶鍎�(y艒u)鎶曞垏绛栫暐鐨勫嫊(d貌ng)鎱�(t脿i)瑕�(gu墨)鍔冩柟娉曪紝鍏剁洰妯�(bi膩o)鏄湪淇濊瓑闆诲璩�(zh矛)閲忕殑鍚屾檪(sh铆)浣块绶氱窔鎼嶆渶灏�锛岀磩鏉熸浠朵腑鍖呮嫭灏�(du矛)闆诲鍣ㄦ姇鍒囨鏁�(sh霉)鐨勯檺鍒躲€傚鏋滄妸闆诲鍣ㄧ殑鎶曞垏鐙€鎱�(t脿i)浣滅偤鐙€鎱�(t脿i)璁婇噺锛岀暥(d膩ng)闆诲鍣ㄨ純澶氭檪(sh铆)锛屽嫊(d貌ng)鎱�(t脿i)瑕�(gu墨)鍔冩渻(hu矛)鏈夌董鏁�(sh霉)鐏�(z膩i)銆傜偤鍏嬫湇閲囩敤鍕�(d貌ng)鎱�(t脿i)瑕�(gu墨)鍔冨彲鑳藉嚭鐝�(xi脿n)鐨勭董鏁�(sh霉)鐏�(z膩i)锛屼綔鑰呭皣闅庢n鏅�(sh铆)鐨勭媭鎱�(t脿i)璁婇噺瀹氱京鐐哄緸闅庢0鍒皀鏅�(sh铆)鐨勯浕瀹瑰櫒绺芥姇鍒囨鏁�(sh霉)锛屾娉曢’钁楅檷浣庝簡鍕�(d貌ng)鎱�(t脿i)瑕�(gu墨)鍔冩硶鍦ㄧ窔瑷�(j矛)绠楃殑缍暩(sh霉)锛屽姞蹇簡鏀舵杺閫熷害锛屼絾瑷�(j矛)绠楅噺閭勬槸闅ㄩ浕瀹瑰櫒鍛堝€嶇巼澧為暦(zh菐ng)锛岀暥(d膩ng)闆诲鍣ㄨ純澶氭檪(sh铆)锛屼粛涓嶇悊鎯�锛屼笉瓒充箣铏曢倓鍦ㄤ簬灏囪矤(f霉)鑽风暥(d膩ng)鎴愭亽闆绘祦铏曠悊銆�
銆€銆€鍒╃敤鍌崇当(t菕ng)鏁�(sh霉)瀛�(xu茅)鍎�(y艒u)鍖栫悊璜栵紝鏂规硶鎴愮啛锛屾敹鏂傛€уソ锛屽彲浠ュ緸鐞嗚珫涓婂緱鍒板叏灞€鏈€鍎�(y艒u)瑙�锛屼絾鏄噳(y墨ng)鐢ㄩ€欎簺鏂规硶鏅�(sh铆)鐐烘豢瓒崇洰妯�(bi膩o)鍑芥暩(sh霉)閫g簩(x霉)鍙井锛屽線寰€闇€瑕佸仛鏌愪簺绨�(ji菐n)鍖栧亣瑷�(sh猫)锛岄€欐渻(hu矛)浣垮緱鍎�(y艒u)鍖栫祼(ji茅)鏋滃拰瀵�(sh铆)闅涙儏娉佷笉绗︼紝寰炶€屽湪涓€瀹氱▼搴︿笂闄愬埗浜嗗叾鎳�(y墨ng)鐢ㄨ寖鍦�銆�
銆€銆€3.2浜哄伐绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)椤炵畻娉�
銆€銆€ANN鏂规硶鐨勬渶澶х壒榛�(di菐n)鏄彲浠ラ€氶亷妯f湰鐨勮〒(x霉n)绶村皣杓稿叆鑸囪几鍑轰箣闁撶殑闈炵窔鎬ч棞(gu膩n)绯诲瓨鍎�(ch菙)浜庣缍�(j墨ng)鍏冪殑娆�(qu谩n)鍊间腑銆係antoso N I [18]鐢ㄥ叐绱�(j铆)ANN瀵�(sh铆)鐝�(xi脿n)闆诲鍣ㄦ姇鍒囩殑瀵�(sh铆)鏅�(sh铆)鎺у埗銆傜涓€绱�(j铆)ANN浠ユ瘝绶氱殑娓�(c猫)閲忓€硷紙鍔熺巼鍜岄浕澹擄級鍜岄浕瀹瑰櫒鐣�(d膩ng)鍓嶆獢浣嶅€肩偤杓稿叆渚嗛爯(y霉)娓�(c猫)璨�(f霉)鑽锋按骞�锛岀浜岀礆(j铆)ANN鏍规摎(j霉)璨�(f霉)鑽锋按骞崇⒑瀹氭帶鍒剁瓥鐣�銆侱as绛変汉閲濆皪(du矛)鍌崇当(t菕ng)鍎�(y艒u)鍖栨柟娉曡不(f猫i)鏅�(sh铆)涓嶉仼鍚堜簬鍦ㄧ窔鎳�(y墨ng)鐢ㄥ晱椤�锛屾彁鍑轰竴绋熀浜庝汉宸ョ缍�(j墨ng)缍�(w菐ng)绲�(lu貌)鐨勬柟娉�锛涚爺绌剁祼(ji茅)鏋滆〃鏄庤┎鏂规硶姣斿偝绲�(t菕ng)鍎�(y艒u)鍖栨柟娉曠殑瑷�(j矛)绠楅€熷害蹇�100鍊嶄互涓奫19]銆�
銆€銆€3.3鍩轰簬闅ㄦ(j墨)鍖栧劒(y艒u)鍖栫殑鏂规硶
銆€銆€杩戝勾渚嗭紝瑷卞瀛�(xu茅)鑰呭皣鍩轰簬闅ㄦ(j墨)鍖栧劒(y艒u)鍖栨妧琛�(sh霉)鐨勬柟娉曪紙鍖呮嫭SA銆丟A浠ュ強TS绛夛級鎳�(y墨ng)鐢ㄤ簬闆诲姏绯荤当(t菕ng)鐨勭爺绌跺拰鐢熺敘(ch菐n)瀵�(sh铆)韪愪腑锛屽叾涓寘鎷厤闆荤恫(w菐ng)鐨勯浕瀹瑰櫒鍎�(y艒u)鍖栨姇鍒�銆�
銆€銆€1锛� 妯℃摤閫€鐏畻娉曪紙SA锛�
銆€銆€1990骞达紝Chiang H D[20]鐢⊿A绠楁硶纰哄畾闆诲鍣ㄧ殑瀹夎浣嶇疆銆侀鍨嬨€佸閲忎互鍙婁笉鍚岃矤(f霉)鑽锋按骞充笅闆诲鍣ㄧ殑鎶曞垏鏂规锛岃€冩叜浜嗛浕瀹瑰櫒鐨勫(sh铆)闅涙儏娉�銆佽矤(f霉)鑽风磩鏉熶互鍙婂悇绋矤(f霉)鑽锋按骞充笅鐨勯亱(y霉n)琛岀磩鏉�锛屽苟浠�69绡€(ji茅)榛�(di菐n)绯荤当(t菕ng)鐐轰緥閫�(j矛n)琛屼簡瑷�(j矛)绠椼€傞毃鍚庝綔鑰呭皣闆诲鍣ㄥ劒(y艒u)鍖栧晱椤屽緸涓夌浉灏�(du矛)绋辩郴绲�(t菕ng)鎺ㄥ唬鍒颁笉灏�(du矛)绋辩郴绲�(t菕ng)[21]锛屽拰涓婁竴绡囨枃鐛�(xi脿n)涓嶅悓涔嬭檿閭勫湪浜庤€冩叜浜嗚矤(f霉)鑽风殑闆诲闈滅壒鎬т互鍙婇浕瀹瑰櫒鏇存彌鍟忛锛屼粛鐒剁敤妯℃摤閫€鐏硶姹傝В銆傜帇瀹堢浉绛塠22]涔熸噳(y墨ng)鐢ㄦā鎿€€鐏畻娉曡В姹洪厤闆婚浕瀹瑰櫒涓夌浉鍒嗙浉鎶曞垏鍟忛锛岀畻娉曡€冩叜浜嗛厤闆荤郴绲�(t菕ng)瀵�(sh铆)闅涚殑涓夌浉涓嶅钩琛$媭娉佸拰绯荤当(t菕ng)鏃ヨ矤(f霉)鑽疯畩鍖栨洸绶氫互鍙婇浕瀹瑰櫒鐨勫(sh铆)闅涙搷浣滄鏁�(sh霉)绱勬潫銆�
銆€銆€2锛� 閬哄偝绠楁硶锛圙A锛�
銆€銆€鏂囩嵒(xi脿n)[23]瑾�(r猫n)鐐洪浕瀹瑰櫒鎿嶄綔娆℃暩(sh霉)灏�(du矛)鐢ㄦ埗鍜岄浕鍔涘叕鍙搁兘闈炲父閲嶈锛屾噳(y墨ng)灏囨搷浣滄鏁�(sh霉)浣滅偤涓€鍊�(g猫)鍠崹(d煤)鐨勭洰妯�(bi膩o)鑰屼笉鏄磩鏉熸浠朵締鑰冩叜銆傛鏅�(sh铆)闆诲鍣ㄥ劒(y艒u)鍖栨姇鍒囧寘鍚叐鍊�(g猫)閲嶈鐨勭洰妯�(bi膩o)锛氶绶氱殑鏃ラ亱(y霉n)琛屾悕鑰楁渶灏�锛屾搷浣滄鏁�(sh霉)鏈€灏忋€傞€欏叐鍊�(g猫)鐩(bi膩o)閲忕侗涓嶅悓涓旂浉浜掓矕绐�锛岀偤瑙f焙瑭插晱椤�锛屼綔鑰呮彁鍑轰簡鑸囬伜鍌崇畻娉曠浉绲�(ji茅)鍚堢殑浜や簰寮忔姌琛锋渶鍎�(y艒u)鏂规硶銆傝┎鏂规硶鐨勯’钁楃壒榛�(di菐n)鏄彲浠ユ彁渚涗竴绲勯潏娲荤殑鎶樿》鏈€鍎�(y艒u)瑙d互骞姪绯荤当(t菕ng)閬�(y霉n)琛屼汉鍝$⒑瀹氭渶浣抽浕瀹瑰櫒鎶曞垏鏂规銆�
銆€銆€鍔夎帀绛変汉[24]鐢ㄩ伜鍌崇畻娉曡В姹洪厤闆荤恫(w菐ng)闆诲鍣ㄥ劒(y艒u)鍖栨姇鍒囧晱椤�锛屽厠鏈嶄簡鍌崇当(t菕ng)鍎�(y艒u)鍖栨柟娉曞湪铏曠悊闆诲鍣ㄦ暣鏁�(sh霉)绱勬潫涓婄殑涓嶈冻锛屽皪(du矛)鍒濆姊濅欢鐒′换浣曡姹�锛屽叿鍌欏叏灞€灏嬪劒(y艒u)鑳藉姏銆�
銆€銆€3锛� 绂佸繉鎼滅储锛圱S锛�
銆€銆€寮靛(xu茅)鏉綶25]鎻愬嚭浜嗗皣TS鐢ㄤ簬瑙f焙閰嶉浕缍�(w菐ng)闆诲鍣ㄦ暣绲勶紙0-1锛夊劒(y艒u)鍖栬▓(j矛)鍔冩姇鍒囧晱椤�锛屽苟灏�(du矛)鍚屼竴鍟忛鍒嗗垾鐢═abu鎼滅储鏂规硶鍜岄伜鍌崇畻娉曡檿鐞嗙殑鏁堢巼閫�(j矛n)琛屼簡姣旇純锛岃瓑瀵�(sh铆)浜員S鏀舵杺閫熷害蹇�銆傞劎闆嗙ゥ绛変汉[26]鍦ㄤ笂鏂囧熀绀�(ch菙)涓婂皪(du矛)Tabu鎼滅储鏂规硶鐨勫(sh铆)闅涙噳(y墨ng)鐢ㄤ綔浜嗕竴浜涙敼閫�(j矛n)锛屽苟鍊熷姪鏀归€�(j矛n)鐨勯伜鍌崇畻娉曚腑鐨勫劒(y艒u)鍖栫法纰兼妧琛�(sh霉)铏曠悊瑁�(b菙)鍎熼浕瀹瑰櫒鐨勫垎妾斿劒(y艒u)鍖栨姇鍒囧晱椤屻€俆S鐨勪笉瓒虫槸灏�(du矛)鍒濆瑙f湁杓冨挤(qi谩ng)鐨勪緷璩存€�銆�
銆€銆€SA绠楁硶涓€鑸彲浠ュ緱鍒板叏灞€鏈€鍎�(y艒u)鎴栧叏灞€娆℃渶鍎�(y艒u)瑙o紝浣嗚┎鏂规硶灏�(du矛)鍙冩暩(sh霉)鍜岄€€鐏柟妗堢殑渚濊炒鎬у挤(qi谩ng)锛岃▓(j矛)绠楅噺澶�锛汫A闆栫劧鍏锋湁浣跨敤绨�(ji菐n)鍠�銆侀妫掓€у挤(qi谩ng)鍜屾槗浜庡苟琛屽寲绛夊劒(y艒u)榛�(di菐n)锛屼絾鍏朵粛闈㈣嚚瑷卞鍟忛锛屽瑷�(j矛)绠楅€熷害鎱�锛岄伕鍙栦笉鍚岀殑鍩哄洜涓叉渻(hu矛)鏈変笉鍚岀殑鍎�(y艒u)鍖栫祼(ji茅)鏋滅瓑锛汿S鏂规硶鑳藉鏈夋晥鐨勬眰寰楀叏灞€鏈€鍎�(y艒u)瑙f垨灞€閮ㄦ渶鍎�(y艒u)瑙�锛屼絾Tabu琛ㄧ殑娣卞害鎺у埗浠嶆槸鍏舵噳(y墨ng)鐢ㄦ檪(sh铆)鐨勪富瑕侀洠榛�(di菐n)銆�
銆€銆€3.4娣峰悎绠楁硶
銆€銆€杩戝勾渚嗕篃鏈変竴浜涚爺绌惰€呰嚧鍔涗簬灏囧偝绲�(t菕ng)鏁�(sh霉)瀛�(xu茅)瑕�(gu墨)鍔冩硶鍜屾櫤鑳芥硶鐩哥祼(ji茅)鍚堢殑鐮旂┒銆傛枃鐛�(xi脿n)[27]灏囦篃閲囩敤椤炰技鐨勫皣ANN鑸囧嫊(d貌ng)鎱�(t脿i)瑕�(gu墨)鍔冪浉绲�(ji茅)鍚堢殑鏂规硶渚嗚В姹洪浕瀹瑰櫒鐨勬姇鍒囧晱椤屻€傞€欏€�(g猫)鏂规硶鍒嗕笁姝ュ(sh铆)鏂�銆傞鍏�锛屾敹闆嗘鍙茶矤(f霉)鑽锋暩(sh霉)鎿�(j霉)锛屾噳(y墨ng)鐢ㄥ嫊(d貌ng)鎱�(t脿i)瑕�(gu墨)鍔冩硶闆㈢窔纰哄畾鏈€浣虫焙绛�銆傚叾娆�锛岀敤ANN 鐨勫叐绋椤炵畻娉曞皪(du矛)璨�(f霉)鑽锋洸绶氭椤烇紝鍦ㄦ瘡涓€椤炰腑锛屽皣鍓嶄竴姝ユ眰鍑虹殑鏈€浣虫焙绛栧彇骞冲潎寰楀埌闋�(y霉)瑾�(di脿o)搴﹁〃銆傛渶鍚�锛屽浐瀹氶爯(y霉)瑾�(di脿o)搴﹁〃涓彲淇″害楂樼殑姹虹瓥锛屽啀鐢ㄥ嫊(d貌ng)鎱�(t脿i)瑕�(gu墨)鍔冩硶鍎�(y艒u)鍖栧彲淇″害浣庣殑姹虹瓥锛屽緱鍒版渶绲傜殑鎺у埗鏂规銆傚墠鍏╂闆㈢窔閫�(j矛n)琛岋紝鍚庝竴姝ュ湪绶氭噳(y墨ng)鐢�銆傚湪绶氭噳(y墨ng)鐢ㄦ檪(sh铆)鐢变簬鐙€鎱�(t脿i)璁婇噺鏁�(sh霉)澶уぇ涓嬮檷锛岃▓(j矛)绠楅€熷害澶уぇ鍔犲揩浜嗐€侫NN鎶€琛�(sh霉)鐢ㄤ簬鎺у埗鐨勭壒榛�(di菐n)鏄湪绶氳▓(j矛)绠楀揩锛岀壒鍒ラ仼浜庡(sh铆)鏅�(sh铆)鎺у埗銆侫NN闆㈢窔瑷�(x霉n)绶存檪(sh铆)闁撻暦(zh菐ng)骞朵笉鏄富瑕佺己榛�(di菐n)锛屽晱椤岀殑闂�(gu膩n)閸靛湪浜庤〒(x霉n)绶存ǎ鏈殑鐛插彇銆傜敱浜庨厤闆荤恫(w菐ng)绲�(lu貌)璨�(f霉)鑽疯畩鍖栭牷绻�锛屽皪(du矛)鎳�(y墨ng)姣忎竴绋矤(f霉)鑽锋ā寮忛兘闇€瑕佸ぇ閲忕殑妯f湰渚嗚〒(x霉n)绶碅NN锛岄€欓檺鍒朵簡鍏跺(sh铆)鐢ㄦ€�銆�
銆€銆€Miu K N鍜孋hiang H D [28]鐮旂┒浜咷A鍦ㄤ笁鐩镐笉骞宠 閰嶉浕缍�(w菐ng)闆诲鍣ㄥ劒(y艒u)鍖栭厤缃強鎺у埗鍟忛涓殑鎳�(y墨ng)鐢紝妲�(g貌u)閫犱簡鍏╃礆(j铆) 鍎�(y艒u)鍖栨ā鍨�銆備竴绱�(j铆)鍎�(y艒u)鍖栫敤閬哄偝绠楁硶纰哄畾涓€鍊�(g猫)鍙瑙g┖闁�锛屼簩绱�(j铆)鍎�(y艒u)鍖栭噰鐢ㄥ熀浜庨潏鏁忓害鍒嗘瀽鐨勫暉鐧�(f膩)寮忕畻娉�锛岀敤涓婁竴绱�(j铆)鎵€寰楀埌鐨勫彲琛岃В绌洪枔浣滅偤鎼滅储鐨勫垵鍊肩辜绾�(x霉)灏嬪劒(y艒u)銆傝┎鏂规硶鑺辫不(f猫i)鐨勬檪(sh铆)闁撴瘮鍠磾浣跨敤GA瑕佸皯锛屼絾瑙g殑绮惧害鏈夋墍闄嶄綆銆�
銆€銆€鏂囩嵒(xi脿n)[29]鎻愬嚭鏀归€�(j矛n)鐨凣A/TS娣峰悎绠楁硶骞剁敤浜庨厤闆荤恫(w菐ng)闆诲鍣ㄧ殑瀵�(sh铆)鏅�(sh铆)鎶曞垏锛岀敤GA姹傝В鍒濆€�锛岀劧鍚庣敤TS姹傚嚭鏈€鍎�(y艒u)瑙�銆�
銆€銆€闄虫槦槎瓑[30]寰炵稉(j墨ng)婵�(j矛)閬�(y霉n)琛岀殑瑙掑害鍑虹櫦(f膩)锛屼互缍�(w菐ng)鎼嶆渶灏忕偤鐩(bi膩o)鍑芥暩(sh霉)寤虹珛浜嗛厤闆荤恫(w菐ng)鐒″姛鍎�(y艒u)鍖栨帶鍒跺晱椤�锛屾暩(sh霉)瀛�(xu茅)绱勬潫姊濅欢涓昏寮�(qi谩ng)瑾�(di脿o)闆诲鍣ㄦ姇鍒囨鏁�(sh霉)鐨勯檺鍒�锛岄噰鐢ㄦā绯婂嫊(d貌ng)鎱�(t脿i)瑕�(gu墨)鍔冩硶瑷�(j矛)绠楅厤闆荤恫(w菐ng)闆诲鍣ㄧ殑鍎�(y艒u)鍖栨姇鍒囧晱椤�?锛涙棇绾ゆ兇顭堟ⅱ瑭拵妞捛滈缂樿啲?y艒u)榛�(di菐n)鍏呭垎鐧�(f膩)鎻嚭渚�锛岃€岄伩闁嬪叾缂洪粸(di菐n)锛屽緸閫欎竴榛�(di菐n)渚嗚锛岄€欓绠楁硶寰堟湁鐧�(f膩)灞曞墠閫�锛屼絾鏄浣曞皪(du矛)鍚勭ó绠楁硶鈥滃彇闀�(zh菐ng)瑁�(b菙)鐭€�锛岀櫦(f膩)鎻悇鑷劒(y艒u)鍕�(sh矛)锛屼粛闇€瑕侀€�(j矛n)涓€姝ョ爺绌�銆�
4 绲�(ji茅)璜�
銆€銆€ 閰嶉浕缍�(w菐ng)闆诲鍣ㄥ劒(y艒u)鍖栭厤缃拰鎶曞垏鍟忛澶ц(gu墨)妯¢潪绶氭€х祫鍚堝劒(y艒u)鍖栧晱椤屻€傚埄鐢ㄥ偝绲�(t菕ng)鏁�(sh霉)瀛�(xu茅)鍎�(y艒u)鍖栫悊璜�锛屾柟娉曟垚鐔�锛屾敹鏂傛€уソ锛屽彲浠ュ緸鐞嗚珫涓婂緱鍒板叏灞€鏈€鍎�(y艒u)瑙�锛屼絾鏄€欎簺鏂规硶澶ч兘瑕佹眰鐩(bi膩o)鍑芥暩(sh霉)閫g簩(x霉)鍙井锛屽洜姝ゅ湪鎳�(y墨ng)鐢ㄦ檪(sh铆)闇€瑕佸仛鏌愪簺绨�(ji菐n)鍖栧亣瑷�(sh猫)锛岄€欐渻(hu矛)浣垮緱鍎�(y艒u)鍖栫祼(ji茅)鏋滃拰瀵�(sh铆)闅涙儏娉佷笉绗︼紝寰炶€岄檺鍒朵簡鍏舵噳(y墨ng)鐢ㄨ寖鍦�?锛涱媱璐廚N鐨勭畻娉曞彲浠ュ湪寰堢煭鐨勬檪(sh铆)闁撳収(n猫i)寰楀嚭绲�(ji茅)鏋滐紝浣嗗叾绮惧害鍙栨焙浜庢ǎ鏈�锛岃€岃鐛插緱瀹屾暣鐨勬ǎ鏈純鍥伴洠锛岃€屼笖闇€瑕佽純闀�(zh菐ng)鐨勬檪(sh铆)闁撹〒(x霉n)绶存ǎ鏈�?锛涱媱璧烝鐨勭畻娉曞緸鐞嗚珫涓婂彲浠ョ嵅寰楀叏灞€鏈€鍎�(y艒u)瑙o紝浣嗗瓨鍦ㄧ畻娉曚緷璩村弮鏁�(sh霉)鍜岃▓(j矛)绠楅噺澶х殑缂洪粸(di菐n)锛屽彲浠ユ噳(y墨ng)鐢ㄤ簬灏�(du矛)瑷�(j矛)绠楅€熷害瑕佹眰涓嶉珮鐨勯浕瀹瑰櫒鍎�(y艒u)鍖栭厤缃強瑷�(j矛)鍔冩姇鍒囥€侴A闆栫劧鍏峰倷鍏ㄥ眬灏嬪劒(y艒u)鑳藉姏锛屼絾鍏舵敹鏂傛€у拰瑷�(j矛)绠楅噺澶ч檺鍒朵簡鍏舵噳(y墨ng)鐢�?锛涱媱璧鐨勭畻娉曠敱浜庡垪琛ㄧ殑澶у皬涓嶆槗纰哄畾锛岄亷澶ф垨閬庡皬鐨勫垪琛ㄩ兘鏈�(hu矛)褰遍熆TS鐨勫叏灞€灏嬪劒(y艒u)鑳藉姏銆傛ā绯婃暩(sh霉)瀛�(xu茅)鍜屽皥瀹剁郴绲�(t菕ng)鏂规硶蹇呴爤渚濊炒浜庡叾浠栨妧琛�(sh霉)鐨勭櫦(f膩)灞�銆�
銆€銆€缍滀笂鍙煡锛屽悇绋柟娉曢兘鏈夊叾鍎�(y艒u)缂洪粸(di菐n)锛屽皪(du矛)浜庨厤闆荤恫(w菐ng)绲�(lu貌)闆诲鍣ㄥ劒(y艒u)鍖栭厤缃強瑷�(j矛)鍔冩姇鍒囧晱椤�锛屽皪(du矛)瑷�(j矛)绠楅€熷害瑕佹眰涓嶆槸寰堣嫑鍒�锛屽彲浠ョ姧鐗茶▓(j矛)绠楅€熷害浠ョ嵅寰楅珮绮惧害瑙o紱鑰岄浕瀹瑰櫒瀵�(sh铆)鏅�(sh铆)鎶曞垏灏�(du矛)绠楁硶鐨勮▓(j矛)绠楅€熷害鎻愬嚭浜嗘洿楂樿姹�锛屽浣曟彁楂樼畻娉曠殑瑷�(j矛)绠楅€熷害鍚屾檪(sh铆)涔熶娇寰楀劒(y艒u)鍖栫祼(ji茅)鏋滆冻澶犳豢鎰忎粛闇€闁嬪睍閫�(j矛n)涓€姝ョ爺绌跺伐浣�銆�
銆€銆€鍙冭€冩枃鐛�(xi脿n)
銆€銆€1. Capacitor Subcommittee of the IEEE Transmission and Distribution Committee. Bibliography on Power Capacitors 1975-1980[J]. IEEE Trans. on Power Apparatus and Systems, 1983, 102锛�7锛�:2331-2334.
銆€銆€2. IEEE VAR Management Working Group of the IEEE System Control Subcommittee. Bibliography on Reactive Power and Voltage Control[J]. IEEE Trans. on Power Systems, 1987,2锛�2锛�: 361-370.
銆€銆€3. Bortignon G A, El-Hawary M E. Review of Capacitor Placement Techniques for Loss Reduction in Primary Feeders on Distribution Systems[C]. Canadian Conference on Electrical and Computer Engineering, 1995, 2:684-687.
銆€銆€4. Carlisle J C, El-Keib A A, Boyd D et al. A Review of Capacitor Placement Techniques on Distribution Feeders[C]. Proceedings of the 29th Symposium on System Theory. Tennessee. 1997: 359-365.
銆€銆€5. Carlisle J C, El-Keib A A, Boyd D et al. Reactive Power Compensation on Distribution Feeders[C]. Proceedings of the 29th Symposium on System Theory. Tennessee. 1997: 366-371.
銆€銆€6. Ng H N, Salama M M A, Chikhani A Y. Classification of Capacitor Allocation Techniques[J]. IEEE Trans. on Power Delivery, 2000, 15锛�1锛�: 387-392.
銆€銆€7. Grainger J J, Lee S H, and EI-Kib A A. Design of a Real-Time Switching Control Scheme for Capacitive Compensation of Distribution Feeders[J]. IEEE Trans. on Power Apparatus and Systems, 1982, 101锛�8锛�: 2420-2428.
銆€銆€8. Grainger J J, Civanlar S, and Lee S H. Optimal Design and control scheme for Continuous Capacitive Compensation of Distribution Feeders[J]. IEEE Trans. on Power Apparatus and Systems, 1983, 102锛�10锛�: 3271-3278.
銆€銆€9. Grainger J J, Civanlar S, Clinard K N et al. Discrete-Tap Control Scheme for Capacitive Compensation of Distribution Feeders[J]. IEEE Trans. on Power Apparatus and Systems, 1984, 103锛�8锛�: 2098-2107.
銆€銆€10. Grainger J J, Civanlar S, Clinard K N et al. Optimal Voltage Dependent Continuous Time Control of Reactive Power on Primary Distribution Feeders[J]. IEEE Trans. on Power Apparatus and Systems, 1984, 103锛�9锛�: 2714-2723.
銆€銆€11. Civanlar S, Grainger J J. Volt/Var Control on Distribution Systems with Lateral Branches Using Shunt Capacitors and Voltage Regulators Part鈪�: the Overall Problem; Part鈪�: the Solution Problem ; Part 鈪�: the Numerical Problem [J]. IEEE Trans on Power Apparatus and Systems. 1985, 104锛�11锛�: 3278-3297.
銆€銆€12. 閯т綉婊�锛屽嫉浼槑锛岀浉骞村痉. 閰嶉浕缍�(w菐ng)绲�(lu貌)闆诲鍣ㄥ(sh铆)鏅�(sh铆)鍎�(y艒u)鍖栨姇鍒囩殑閫愭绶氭€ф暣鏁�(sh霉)瑕�(gu墨)鍔冩硶[J]. 涓湅闆绘(j墨)宸ョ▼瀛�(xu茅)鍫�(b脿o), 1995,15锛�6锛�:375-383. DENG You-man, ZHANG Bo-ming, XIANG Nian-de. A successive linear integer programming method for capacitor switching on distribution systems[J]. Proceedings of the CSEE, 1995,15锛�6锛�:375-383.
銆€銆€13. Deng Y M, Ren X J. Optimal Capacitor Switching with Fuzzy Load Model for Radial Distribution Systems[J]. IEE Proc-Gener. Transm. Distrib., 2003,150锛�2锛�: 190-194.
銆€銆€14. Teng J H. A Linear Model for Real-Time Capacitor Control in Unbalanced Distribution System[C]. IEEE 2000 Power Engineering Society Summer Meeting, 4: 2391-2396.
銆€銆€15. Teng J H, Chang C Y. A Network-Topology-Based Capacitor Control Algorithm for Distribution Systems[C]. IEEE/PES 2002 Transmission and Distribution Conference and Exhibition,2: 1158-1162
銆€銆€16. Wang J C, Chiang H D, Miu K N et al. Capacitor Placement and Real Time Control in Large Scale Unbalanced Distribution Systems: Loss Reduction Formula, Problem Formulation, Solution Methodology and Mathematics Justification; Numerical Studies [J]. IEEE Trans. on Power Delivery, 1997, 12锛�2锛�: 953-964.
銆€銆€17. Hsu Y Y, Kuo H C. Dispatch of Capacitors on Distribution System Using Dynamic Programming[J]. IEE. Proceedings-C, 1993, 140锛�6锛�: 433-438.
銆€銆€18. Santoso N I, Tan O T. Neural-Net Real Time Control of Capacitors Installed on Distribution Systems[J]. IEEE Trans. on Power Delivery, 1990,5锛�1锛�: 266-272.
銆€銆€19. Das B, Verma P K. Artificial Neural Network-based Optimal Capacitor Switching in a Distribution System[J]. Electric Power Systems Research, 2001, 60锛�1锛�: 55-62.
銆€銆€20. Chiang H D, Wang J C, Orville Cockings, et al. Optimal Capacitor Placement in Distribution System Part I: A New Formulation and the Overall Problem; Part鈪�: Solution Algorithms and Numerical Results [J]. IEEE Trans on Power Delivery, 1990, 5锛�2锛�: 634-649.
銆€銆€21. Chiang H D, Wang J C, Gary Darling. Optimal Capacitor Placement, Replacement and Control in Large-Scale Unbalanced Distribution Systems: System Modeling and A New Formulation; System Solution Algorithms and Numerical Studies [J]. IEEE Trans. on Power Systems, 1995,10锛�1锛�: 356-369.
銆€銆€22. 鐜嬪畧鐩革紝鐜嬫垚灞�锛岀帇鍔�. 閰嶉浕闆诲鍣ㄤ笁鐩稿垎鐩稿劒(y艒u)鍖栨姇鍒嘯J]. 闆荤恫(w菐ng)鎶€琛�(sh霉), 2002锛�26锛�8锛�:16-20. WANG Shou-xiang, WANG Cheng-shan, WANG Jian. Optimal capacitor switching phase by phase in distribution systems[J]. Power System Technology, 2002锛�26锛�8锛�:16-20.
銆€銆€23. Kuo C C, Chang H C. Solving the Bi-objective Scheduling of Switched Capacitors Using an Interactive Best-compromise Approach[J]. Electric Power Systems Research, 1998,46锛�3锛�:133-140.
銆€銆€24. 鍔夎帀锛岄櫝瀛�(xu茅)鍏�锛屽灏忓钩锛庡熀浜庨伜鍌崇畻娉曠殑閰嶉浕缍�(w菐ng)闆诲鍣ㄥ劒(y艒u)鍖栨姇鍒嘯J]锛庢澅鍖楅浕鍔涘(xu茅)闄㈠(xu茅)鍫�(b脿o), 1999锛�19锛�4锛夛細33-36. LIU Li, CHEN Xue-yun, SUN Xiao-ping. Optimal capacitor switching in distribution networks with genetic method[J]. Journal Of Northeast China Institute OF Electric Power Engineering, 1999锛�19锛�4锛夛細33-36.
銆€銆€25. 寮靛(xu茅)鏉撅紝鏌崇劘锛屼簬鐖鹃彈. 鍩轰簬Tabu鏂规硶鐨勯厤闆婚浕瀹瑰櫒鎶曞垏绛栫暐[J]. 闆荤恫(w菐ng)鎶€琛�(sh霉), 1998锛�22锛�2锛�:33锝�36.ZHANG Xue-song, LIU Zhuo, YU Er-keng. The strategy of distribution capacitor scheme based on tabu search[J]. Power System Technology, 1998锛�22锛�2锛�:33锝�36.
銆€銆€26. 閯ч泦绁ワ紝寮靛紭榈�. 鐢ㄦ敼閫�(j矛n)鐨凾abu鎼滅储鏂规硶鍎�(y艒u)鍖栬(b菙)鍎熼浕瀹瑰櫒鍒嗘獢鎶曞垏鐨勭爺绌禰J]. 闆荤恫(w菐ng)鎶€琛�(sh霉), 2000锛�24锛�2锛�:46-49.DENG Ji-xiang, ZHANG Hong-peng. Optimization of on/off strategy of shunt capacitor based on modified tabu search method[J]. Power System Technology, 2000锛�24锛�2锛�:46-49.
銆€銆€27. Hsu Y Y, Yang C C. A Hybrid Artificial Neural Network-Dynamic Programming Approach for Feeder Capacitor Scheduling [J]. IEEE Trans. on Power Systems, 1994,9锛�2锛�: 1069-1075.
銆€銆€28. Miu K N, Chiang H D, Gary Darling. Capacitor Placement, Replacement and Control in Large Scale Distribution Systems by a GA-Based Two-Stage Algorithm[J]. IEEE Trans. on Power Systems, 1997,12锛�3锛�: 1160-1166.
銆€銆€29. 鐩ч椿瀹�锛岃儭鏋楃嵒(xi脿n)锛屽妷鑾夌瓑. 鍩轰簬閬哄偝绠楁硶鍜孴S绠楁硶鐨勯厤闆荤恫(w菐ng)闆诲鍣ㄥ(sh铆)鏅�(sh铆)鍎�(y艒u)鍖栨姇鍒囩瓥鐣J]. 闆荤恫(w菐ng)鎶€琛�(sh霉), 2000锛�24锛�11锛�:56-59.LU Hong-yu, HU Lin-xian, LIU Li et al. Application of genetic algorithm/tabu search combination algorithm in distribution network real-time planning[J]. Power System Technology, 2000锛�24锛�11锛�:56-59.
銆€銆€30. 闄虫槦槎�锛岄將閶�锛屾绱犵惔. 妯$硦鍕�(d貌ng)鎱�(t脿i)瑕�(gu墨)鍔冩硶鍦ㄩ厤闆荤恫(w菐ng)鐒″姛鍎�(y艒u)鍖栨帶鍒朵腑鐨勬噳(y墨ng)鐢╗J]. 闆荤恫(w菐ng)鎶€琛�(sh霉), 2003锛�27锛�2锛�:68-71.CHEN Xing-ying, QIAN Feng, YANG Su-qing. Application of fuzzy dynamic programming approach to optimal reactive power control in distribution system[J]. Power System Technology, 2003锛�27锛�2锛�:68-71.