)XQFWLRQDQG&RQWURO
0RGH6HOHFWLRQ
3UHVVWKHUHPRWHEXWWRQ02'(WKHQVHOHFWDQGVKRZLQWKHIROORZLQJZD\V$872&22/'5<)$1+($7$872
7HPSHUDWXUH6HWWLQJ2SWLRQ%XWWRQ
(DFKWLPH\RXSUHVVWKHUHPRWHEXWWRQ7(03RU7(03WKHVHWWLQJWHPSHUDWXUHZLOOEHXSRUGRZQE\
ć
5HJXODWLQJ
5DQJHa
ć
WKHEXWWRQLVXVHOHVVXQGHUWKH$872PRGH
7LPH6ZLWFK
<RXVKRXOGVWDUWDQGVWRSWKHPDFKLQHDFFRUGLQJWRWKHVHWWLQJWLPHE\UHPRWHFRQWURO
6/((36WDWH&RQWURO
D:KHQWKHDLUFRQGLWLRQHULVXQGHUWKHPRGHRI&22/'5<DQGWKH6/((3PRGHKDVEHHQVHWZHOODIWHUWKH6/((3VWDWHNHHSV
DERXWKRXUWKHSUHVHWWLQJ7ZLOOUDLVH
ć
DQGLWZLOOUDLVH
ć
DJDLQDIWHUKRXUVVRLWUDLVH
ć
LQKRXUVWKHQLWZLOOUXQRQDW
WKHVHWWLQJWHPSHUDWXUHDQGZLQGVSHHG
E:KHQWKHDLUFRQGLWLRQHULVXQGHUWK($7DQGWKH7LPHUKDVEHHQVHWZHOODIWHUWKH6/((3VWDWHNHHSVDERXWKRXU
WKHSUHVHWWLQJ7ZLOOUHGXFH
ć
DQGLWZLOOUHGXFH
ć
DJDLQDIWHUKRXUVVRLWUHGXFH
ć
LQKRXUVWKHQLWZLOOUXQRQDWWKH
VHWWLQJWHPSHUDWXUHDQGZLQGVSHHG
F7KHVHWWLQJWHPSHUDWXUHNHHSVWKHVDPHXQGHUWKH)$1PRGHDQG$872PRGH
,QGRRU)DQ&RQWURO
7KH,QGRRU)DQFDQ,*+0('/2:E\UHPRWHFRQWURODQGWKH,QGRRU)DQZLOOEHUHVSHFWLYHO\UXQDWKLJKPHGLXPORZ
VSHHG,WZLOODOVREHVHWDV$872DQGWKH,QGRRU)DQLVDVWKHIROORZLQJVDWWKHDXWRPDWLFZLQGVSHHG
&RROLQJPRGH7ULQJ7VHWWLQJKLJKVSHHG7VHWWLQJ7ULQJ7VHWWLQJPHGLXPVSHHG7ULQJ7VHWWLQJORZVSHHG
6HQGLQJZLQGPRGH7ULQJ!7VHWWLQJKLJKVSHHG7VHWWLQJ7ULQJ7VHWWLQJPHGLXPVSHHG7ULQJ7VHWWLQJORZ
VSHHG
0RLVWXUHUHPRYDOPRGHIRUFHWREHVHWDVWKHORZVSHHG
+HDWLQJPRGH7ULQJ7VHWWLQJKLJKVSHHG7VHWWLQJ7ULQJ7VHWWLQJPHGLXPVSHHG7ULQJ7VHWWLQJORZVSHHG
%X]]HU&RQWURO
7KHEX]]HUZLOOVHQGD³'L´VRXQGZKHQWKHDLUFRQGLWLRQHULVSRZHUHGXSRUUHFHLYHGWKHLQIRUPDWLRQVHQWE\WKHUHPRWHFRQWURORU
WKHUHLVDEXWWRQLQSXWWKHVLQJOHWXEHFRROHUGRHVQ¶WUHFHLYHWKHUHPRWHFRQWURO21VLJQDOXQGHUWKHPRGHRIKHDWLQJPRGH
$XWREXWWRQ
,IWKHFRQWUROOHULVRQLWZLOOVWRSE\SUHVVLQJWKHEXWWRQDQGLIWKHFRQWUROOHULVRIILWZLOOEHDXWRPDWLFUXQQLQJVWDWHE\SUHVVLQJWKH
EXWWRQVZLQJRQDQGOLJKWRQDQGWKHPDLQXQLWZLOOUXQEDVHGRQWKHUHPRWHFRQWUROLIWKHUHLVUHPRWHFRQWURORUGHU
8SDQG'RZQ6ZLQJLQJ&RQWURO
:KHQSRZHURQWKHXSDQGGRZQPRWRUZLOO¿UVWO\PRYHWKHDLUGHÀHFWRUWRRFRXQWHUFORFNZLVHFORVHWKHDLURXWOHW$IWHUVWDUWLQJ
WKHPDFKLQHLI\RXGRQ¶WVHWWKHVZLQJLQJIXQFWLRQKHDWLQJPRGHDQGDXWRKHDWLQJPRGHWKHXSDQGGRZQDLUGHÀHFWRUZLOOPRYHWR
'FORFNZLVHXQGHURWKHUPRGHVWKHXSDQGGRZQDLUGHÀHFWRUZLOOPRYHWR/,I\RXVHWWKHVZLQJLQJIXQFWLRQZKHQ\RXVWDUWWKH
PDFKLQHWKHQWKHZLQGEODGHZLOOVZLQJEHWZHHQ/DQG'7KHDLUGHÀHFWRUKDVVZLQJLQJVWDWHV/RFDWLRQ//RFDWLRQ$/RFDWLRQ
%/RFDWLRQ&/RFDWLRQ'/RFDWLRQ/WR/RFDWLRQ'VWRSDWDQ\ORFDWLRQEHWZHHQ/'WKHLQFOXGHGDQJOHEHWZHHQ/a'LVWKHVDPH
7KHDLUGHÀHFWRUZLOOEHFORVHGDW/RFDWLRQDQGWKHVZLQJLQJLVHIIHFWXDORQO\RQFRQGLWLRQWKDWVHWWLQJWKHVZLQJLQJRUGHUDQGWKH
LQQHUIDQLVUXQQLQJ7KHLQGRRUIDQDQGFRPSUHVVRUPD\JHWWKHSRZHUZKHQDLUGHÀHFWRULVRQWKHGHIDXOWORFDWLRQ
L1
A1
B1
C1
D1
L
A
B
C
D
Heating angle
Cooling angle
O(0°)
O(0°)