רÀûÃû³Æ£ºÓÃÓÚµçÍø²¨Ðλû±ä·ÖÎöºÍµçÁ¦Ð³²¨²ÎÊý×Ô¶¯¼à²â·½·¨
¼¼ÊõÁìÓò£º
±¾·¢Ã÷Éæ¼°Ò»ÖÖµçÍøµçѹºÍµçÁ÷²¨Ðλû±äµÄ·ÖÎöºÍ×Ô¶¯¼à²âËã·¨£¬¿ÉÓÃÓÚ¸÷ÖÖµçÍøµçѹºÍµçÁ÷²¨Ðλû±äµÄ·ÖÎöÒÇÆ÷ºÍ×Ô¶¯¼à²â×°Öá£ÊôÓÚµçÁ¦²âÁ¿ºÍ×Ô¶¯»¯¼¼ÊõÁìÓò¡£
±³¾°¼¼Êõ£º
Ëæ×ŵçÁ¦µç×Ó¼¼ÊõºÍÆ÷¼þµÄ·¢Õ¹£¬·ÇÏßÐÔ¸ººÉÔÚµçÁ¦ÏµÍ³ÖеÄÓ¦ÓÃÔ½À´Ô½¹ã·º£¬ µçÁ¦ÏµÍ³Ð³²¨ÎÛȾÈÕÒæÑÏÖØ£¬Ð³²¨ÒѳÉΪӰÏìµçÄÜÖÊÁ¿µÄÖ÷ÒªÎÊÌâ¡£¶Ôг²¨·ÖÁ¿²ÎÊýµÄ¸ß¾«¶È¹À¼Æ½«ÓÐÀûÓÚµçÄÜÖÊÁ¿µÄÆÀ¹ÀºÍ²ÉÈ¡ÏàÓ¦µÄ±ØÒªÖÎÀí´ëÊ©¡£¿ìËÙ¸µÁ¢Ò¶±ä»»(FFT)ÊÇг²¨·ÖÎö×î¿ì½ÝµÄ¹¤¾ß¡£µ«ÊÇ£¬FFT¾«È··ÖÎöƵÆ×µÄǰÌáÊDZ£Ö¤¶ÔÐźŵÄͬ²½²ÉÑùºÍÕûÖÜÆÚ½Ø¶Ï¡£Êµ¼ÊµçÍøÆµÂÊͨ³£ÔÚ¹¤Æµ¸½½ü²¨¶¯µÄ£¬Òò´Ë¶øÔì³É·Çͬ²½²ÉÑùºÍ·ÇÕûÊýÖÜÆÚ½Ø¶Ï£¬Õ⽫²úÉúƵÆ×й©ºÍÆ×¼ä¸ÉÈÅ£¬Ê¹Æ×·ÖÎö²úÉúÎó²î¡£ÕâÒ»ÎÊÌâµÄ½â¾öͨ³£ÓÐ2Ìõ˼·һÊÇͨ¹ýËøÏà»·¼¼Êõ(Ó²¼þ»òÈí¼þ)À´½â¾öͬ²½²ÉÑùºÍÕûÊýÖÜÆÚ½Ø¶ÏÎÊÌâ¡£ÓÉÓÚµçÍøÆµÂʲ¢·Çºã¶¨Öµ£¬¶øËøÏà»·ÏìÓ¦ÐèҪʱ¼ä£¬Òò¶ø²»Äܱ£Ö¤Íêȫͬ²½²ÉÑù¡£ÆÕ±é²ÉÓõÄÁíһ˼·ÊÇͨ¹ýÑ¡ÔñÆ×ÄÜÁ¿Ö÷Òª¼¯ÖÐÔÚÖ÷°ê£¬ÅÔ°êÆÕÄÜÁ¿Ð¡¡¢ÇÒ·ùֵ˥¼õ¿ìµÄ´°º¯Êý£¬ÒÔ¼õСÆ×¼ä¸ÉÈÅ£¬¼´ÆµÆ×µÄ³¤·¶Î§Ð¹Â©£»Í¨¹ýË«Æ×Ïß¼ä²åÖµÐÞÕý£¬ÒÔ¼õСդÀ¸Ð§Ó¦£¬½ø¶øÌá¸ßг²¨¹À¼Æ¾«¶È¡£Ðí¶àѧÕß²ÉÓüӴ°²åÖµ·¨¶¼ÓÐЧµØÌá¸ßÁËг²¨¹À¼ÆµÄ¾«¶È ¦£6]£¬µ«Ëæ×ŲåÖµÐÞÕýÇúÏßÄâºÏº¯ÊýµÄ½×´ÎÔö¸ß¼°Ð³²¨º¬ÓдÎÊýµÄÔö¶à£¬Ð³²¨¹À¼Æ¾«¶ÈÌá¸ßµÄͬʱ¼ÆËãÁ¿´óÁ¿Ôö¼Ó¡£±¾·¢Ã÷½«Ìá³öг²¨¸ß¾«¶È¹À¼ÆµÄÁíÒ»Ìõ˼·£¬Blackman´°º¯ÊýÁ¬ÐøÆµÆ×Äڲ徫ȷ¼ÆËãµçÁ¦Ð³²¨²ÎÊý·½·¨¡£²Î¿¼ÎÄÏ×H. Xue and R. Yang, Optimal interpolating windowed discrete Fourier transform algorithms for harmonic analysis in power systems [J],IEE Proceedings of Generation, Transmission and Distribution, Vol. 150, No. 5, September 2003:583-587ÅӺƣ¬Àϼ£¬ÙÞÔÆÏöµÈ£¬Ó¦ÓÃFFT½øÐеçÁ¦Í³Ð³²¨·ÖÎöµÄ¸Ä½øËã·¨[J]£¬Öйúµç»ú¹¤³Ìѧ±¨£¬2003£¬23 (6) 50-54Ôø²©£¬ëøÕÙʤ£¬¸ßÔÆÅô£¬ÍõÒ»£¬»ùÓÚRife-Vincent´°µÄ¸ß׼ȷ¶ÈµçÁ¦Ð³²¨ÏàÁ¿¼ÆËã·½·¨[J]£¬µç¹¤¼¼Êõѧ±¨£¬2009£¬M (8) =154-158Ôø²©£¬ëøÕÙʤ£¬Îºͣ¬Çä°ØÔª£¬À³·òÒ»ÎÄÉÌØ´°²åÖµFFTг²¨·ÖÎö·½·¨[J]£¬Öйúµç»ú¹¤³Ìѧ±¨£¬2009£¬29 (10) =115-120Çä°ØÔª£¬ëøÕÙʤ£¬¸ßÔÆÅô£¬Îºͣ¬»ùÓÚNuttall´°Ë«Æ×Ïß²åÖµFFTµÄµçÁ¦Ð³²¨·ÖÎö·½·¨[J]£¬Öйúµç»ú¹¤³Ìѧ±¨£¬2008£¬¹Û05) =153-157Reljin I, Reljin B, Papic V. Extremely flat-top windows for harmonic analysis [J]. IEEE Transactions on Instrumentation and Measurement, 2007, 56(3)£¬1025-104
·¢Ã÷ÄÚÈÝ
3¼¼ÊõÎÊÌâ±¾·¢Ã÷µÄÄ¿µÄÊÇÌṩһÖÖÓÃÓÚµçÍøµçѹºÍµçÁ÷²¨Ðλû±äµÄ·ÖÎöºÍµçÁ¦Ð³²¨²ÎÊý×Ô¶¯¼à²â·½·¨£¬¿ÉÓÃÓÚ¸÷ÖÖµçÍøµçѹºÍµçÁ÷²¨Ðλû±äµÄ·ÖÎöÒÇÆ÷ºÍ×Ô¶¯¼à²â×°Ö᣼¼Êõ·½°¸±¾·¢Ã÷µÄÓÃÓÚµçÍø²¨Ðλû±ä·ÖÎöºÍµçÁ¦Ð³²¨²ÎÊý×Ô¶¯¼à²â·½·¨£¬²ÉÓÃÈçϲ½Öè
²½Öèa.²ÉÑù±»·ÖÎöµçÁ¦Ðźŵçѹ»òµçÁ÷£¬²¢°´¿ìËÙCZTËã·¨Á÷³Ì(
ͼ1)¼ÆËãÆäÏßÐÔµ÷ƵZ±ä»»CZTÖµ1(¹´¾Ã€
£¬È¡×ÔÈ»ÕýÕûÊý£¬ÔÙÓÉʽ1¡¢Ê½2ºÍʽ3·Ö±ðµÃµ½³öµçÁ¦ÐźŵĻù²¨²ÎÊý£¬·ùÖµ¡¢ÆµÂʺÍÏàλ£»
¹À¼Æ»ù²¨·ùÖµ4 = = ¦¬<¦¬¦Ó{] (¦¡)(|£¬¦Ë e
ʽ 1
¹À¼Æ»ù²¨ÆµÂÊÖµ \= ( ¦È +k, ¦µ)/2 ¦Ðʽ2
¹À¼Æ»ù²¨ÏàÎ»Öµ×Æ(³§)=3rctg[hn(X(kf)) /RefXil rJ)]ʽ 3
ÕâÀIΪÏßÐÔµ÷ƵZ±ä»»Ê±ÔÚÆµÓòÄڵijéÑùµãÊýfΪI¸öI (k)ÖÐÈ¡µÃ×î´óÖµµÄ kÖµ£»¦ÂΪÆðʼ²ÉÑùµãµÄ½ÇƵÂÊ£»¦ÕΪÏàÁÚÁ½²ÉÑùµãÖ®¼äµÄ½ÇƵÂʲIm(ir(i¡¯))ΪiT(i')µÄ
Ð鲿£»Re(iT(0)ΪiT(i')µÄʵ²¿£»
²½Öèb.¶ÔBlackman´°º¯ÊýÁ¬ÐøÆµÆ×ÔÚÆµÓòÄÚ³éÑùÇóµÃ¸÷´ÎµçÁ¦Ð³²¨µÄУÕýϵÊý
ȨÀûÒªÇó
1. Ò»ÖÖÓÃÓÚµçÍø²¨Ðλû±ä·ÖÎöºÍµçÁ¦Ð³²¨²ÎÊý×Ô¶¯¼à²â·½·¨£¬ÆäÌØÕ÷ÊǸ÷½·¨²ÉÓÃÈçϲ½Öè²½Öèa.²ÉÑù±»·ÖÎöµçÁ¦Ðźŵçѹ»òµçÁ÷£¬²¢°´¿ìËÙCZTËã·¨Á÷³Ì¼ÆËãÆäÏßÐÔµ÷ƵZ±ä»»CZTÖµ¦¦( )¦¡€
£¬È¡×ÔÈ»ÕýÕûÊý£¬ÔÙÓÉʽi¡¢Ê½2ºÍʽ3·Ö±ðµÃµ½³öµçÁ¦ÐźŵĻù²¨²ÎÊý£¬·ùÖµ¡¢ÆµÂʺÍÏàλ£»¹À¼Æ»ù²¨·ùÖµ
È«ÎÄÕªÒª
ÓÃÓÚµçÍø²¨Ðλû±ä·ÖÎöºÍµçÁ¦Ð³²¨²ÎÊý×Ô¶¯¼à²â·½·¨ÊÊÓÃÓÚ¶ÔµçÁ¦Íøµçѹ¡¢µçÁ÷µÄг²¨·ÖÎöÓë¼à²â¡£Ê×ÏÈʹÓÃÏßÐÔµ÷ƵZ±ä»»(Chirp-ZTransform)»ò³ÆCZT´Óº¬ÓÐг²¨µÄµçÁ¦ÐźÅÖи߾«¶ÈÌáÈ¡»ù²¨ÐźŲÎÊý(·ùÖµ¡¢ÆµÂʺÍÏàλ)¡£È»ºó´Ó±»·ÖÎöµçÁ¦ÐźÅÖмõÈ¥»ù²¨Ðźźó¼ÓBlackman´°º¯Êý½Ø¶ÏµçÁ¦Ðźţ¬²¢ÓÃFFT¼ÆËã³öÊ£ÓàÐÅºÅµÄÆµÆ×¡£ÔÙÒÀ¾Ý»ù²¨ÆµÂʾ«È·¼ÆËã³ö¸÷г²¨µÄƵÂÊÖµ¡£×îºóÒÀ¾Ý¸÷г²¨ÆµÂʶÔBlackman´°º¯ÊýÔÚÆµÓòÄÚ²åÖµ£¬¾«È·¼ÆËã³ö¸÷µçÁ¦Ð³²¨µÄ²ÎÊý¡£±¾·¢Ã÷Óë¼ÓBlackman´°FFTË«Æ×Ïß²åÖµÄâºÏ·ÖÎöµçÁ¦Ð³²¨·½·¨Óлù±¾Í¬µÈµÄ¹ÀÖµ¾«¶È£¬¶ø¼ÆËãÁ¿Ô¼Îª1/2¡£
Îĵµ±àºÅG01R25/00GK102338827SQ20111015498
¹«¿ªÈÕ2012Äê2ÔÂ1ÈÕ ÉêÇëÈÕÆÚ2011Äê6ÔÂ10ÈÕ ÓÅÏÈȨÈÕ2011Äê6ÔÂ10ÈÕ
·¢Ã÷ÕßÖܱó, ÌÆéó, ÒüÔ¶, ÕÅÔ¾, ÑîÂå, ½¥Î°, ÍõÌÎ, ÇØæÂÙ», ³Â¿ü, ³ÂÀ× ÉêÇëÈË:Öйú¿óÒµ´óѧ