D ynam ic S im ula tion of the A ir2cond ition ing System w ith Inverter Ba sed on the M ov ing2boundary M odel
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1 : ( , 2, 1, 1, 1, 1, 1, 3, 3 (1., ; 2., ; 3., : 57 ;,,,12,, : ; ; ; ; : TB65; TP A D ynam ic S im ula tion of the A ir2cond ition ing System w ith Inverter Ba sed on the M ov ing2boundary M odel HAN Han2p ing 1, 2, X IAO Rui 1, HE Shi2hui 1, HUANG Chong 1, Q ING Chun2yao 1, FENG Zi2p ing 1, X IAO Hong2hai 3,MA Ying2jiang 3 ( 1. Chinese Academy of Sciences Guangzhou Institute of Energy Conversion, Guangzhou , China; 2. Graduate University of Chinese Academy of Sciences, Beijing , China; 3. Gree Electric App licancen, Inc. of Zhuhai, Zhuhai , China Abstract: A numerical model is developed to simulate the dynam ic behavior of the air2conditioning system with inverter. 5 th order dynam ic model of evaporator and the 7 th order dynam ic model of condenser are built based on the moving2boundary mod2 el, using the lumped parameter method. thermal inertia. Steady state models are app lied for the comp ressor and expansion valve for their small The dynam ic models of two heat2exchangers are combined into a 12 th order system model in matrix form with the comp ressor and expansion models as its boundary conditions. The The simulation results show that this model is valid for p redicting the system s dynam ic behavior under the step changes of comp ressor speed, expansion valve opening, fan speed and etc. Key words: air2conditioning system; moving2boundary; dynam ic behavior; simulation; 1 [ 1 ],,,,,;, [2 3 ],, 2 : : 863 (2007AA05Z224
2 72 FLU ID MACH INERYVol136, No106, ,;,, [ 4 ] : m com =V com / v s (1 h d = h s + P s k k - 1 [ ( P d P s ( k - 1 / k - 1 ] v s /(2 m com, kgs - 1, s - 1 V com, m 3 P s P d, Pa h s h d, Jkg - 1 k v s, m 3 kg - 1, [ 5 ] : C D m v = C D A v (2 in P 1 /2 (3 = ( in 1 / v ou t (4 m v, kgs - 1 A v, m 2 C D P, Pa in, kgm - 3 v ou t, m 3 kg ,,,,, ;,,,, [ 6 ],,,,, (1; (2, ; (3 [ 7 ], ; (4, 5 ( h 5t 5 5t + 5 ( u = 0 (5 5z + 5 ( uh 5z = 5P 5t +D i i ( T w - T r (6 A i w C w A w dt w =D i i ( T r - T w +D 0 0 ( T a - T w P, Pa : h, Jkg - 1 u, ms - 1, kgm - 3 A i, m 2 T w T r, K (7 i 0, W m - 2 K - 1 w, kgm - 3 C w, Jkg - 1 K - 1 A w, m 2 D i D 0, m, = v + (1 - l h = v h v + (1 - l h l v l, kgm - 3 h v h l, Jkg - 1, z = 0z = l e ( t (1,, [ 8 ] :
3 =m m id - m eo (11 1 A ei l e [ d v + (1 - d l ] +A ei (1 - ( l - v dl e =m ei - m m id (8 d ( v h v A ei l e [ + (1 - d ( l h l +A ei ( l h l - v h v (1 - dl e d t - 1 ] d t = (m ei h ei - m m id h m id +D el l e a l1 ( T ew1 - T er1 (9 w A w cw =D eo eo1 ( T ea1 ( T ew1 T ew2 d l e L e + w A w c w dt ew1 - T ew1 +D ei ei1 ( T er1 - T ew1 (10 P e, Pa L e, m D ei D eo, m A ei, m 2 l e, m T er1 T ew1, K m ei, kgs - 1 m m id, kgs - 1 h ei, Jkg - 1 h m id, Jkg - 1 ei1, W m 2 K - 1,, z = l e ( tz =L e, A ei [ 5 em + 5 em dh eo ] 5P e 5h eo +A ei ( m id - em dl e A ei ( m id h m id - em h em [ dl e - A ei +A ei [ 5 ( em h em dh eo 5h eo d t =D ei ei2 ( T ew ( em h em 5P e T er2 + (m m id h m id - m eo h eo (12 w A w c w ( T ew1 - T ew2 =D eo eo2 ( T ea2 L e d l e + w A w c w dt ew2 - T ew2 +D ei ei2 ( T er2 - T ew2 m eo, kgs - 1 h eo, Jkg - 1 (13 em, kgm - 3 T er2, K T ea2, K T ew2, K,Wm 2 K - 1 ei2 eo2,wm 2 K - 1 h em = ( h m id - h eo /2 m m id,,, ( 9 - ( 8 h m id,h m id = h v, : d ( v h v A ei l e [ + (1 - d ( l h 1-1 ] - A ei l e [ d v h v + (1 - d l h v ] d t +A ei (1 - l ( h l =m ei ( h ei - h v dl e - h v +D ei l e ei1 ( T ew1 - T er1 (14, (12 - ( 11 h m id, : A ei (L e +A ei (L e - l e [ 5 ( em h em 5P e - l e [ 5 ( em h em 5h eo +A ei em ( h v - h em dl e - 5 em h v 5P e - 1 ] - 5 em h v ] dh eo 5h eo =m eo ( h v - h eo +D ei ei2 ( T ew2 - T er2 (15
4 74 FLU ID MACH INERYVol136, No106, 2008, (8 +( 11, A ei [ (1 - l + v - em ] dl e +A ei [ 5 em + 5 em dh eo ] 5P e 5h eo +A ei l e [ d v + (1 - r d l ] =m ei - m eo (16, ( 14 ( 15 (16 (10 (13, x e D e ( x e x e = b e (17 = ( l e, P e, h eo, T ew1, T ew2 T xe = ( dl e,, dh eo, dt ew 1, dl ew2 T D e 5 b e , 2,, [ 7 ], 0l c1 l c1 l c2 l c, h co, Jkg - 1 D c 7 b c 7 3,,, : : : m ei m eo h ei m ei =m v ; m go =m com ; h ei = h co m ci, m co h ci m ci =m com ; m co =m v ; h ci = h d, 5 7, 12 D e 0 0 D c xe xc = b e b c (19,,, 4 2,, x c D c ( x c x c = b c (18 = ( l c1, l c2, P c, h co, T cw1, T cw2, T cw3 T xc = ( dl c1, dl c2 d t, dp c, dh co, dt w1, dt w2, dt w3 d t T l c1 l c2, m T cw1 T cw2 T cw3 P c, Pa, K,,,, 1. 5P R22 35, 50Hz 60Hz, 3 4,,,
5 ,,,,,,,,,,,,,,,,,,,,,,,, 5 3,,,,, 4 5 5,, [ 1 ]. VRV [ J ]., 2003, 31 (9 : [ 2 ] W ei2j iang Zhang, Chun2Lu Zhang. A generalized mov2 ing2boundary model for transient simulation of dry2ex2 pansion evaporators under larger disturbances [ J ]. In2 ternational Journal of Refrigeration, 2006, 29: [ 3 ] Xiang2dong He, Sheng L iu, Haruhiko H A sada. Mod2 eling of vapor comp ression cycles for multivariable feed2 back control of HVAC system s [ J ]. Journal of Dynam2 ic System s, Measurement and Control, 1997, 119: [ 4 ]. [M ]. :, [ 5 ],,. [ J ]., 1998, 26 ( 10 : [ 6 ]. [ J ]., 2006, 51 (9 : (85
6 kW 1HP, 150L, R22,, ; S3C2410A, 75L /h, 55; 2. 4kg/h (1, ; ;,,, ;, 2, : 30% 2 ( 5600 ( 2600 ( ( 6100 ( (2,,,,, ;,, ;,,,, (3,,,, 4, 3kW, 75L /h, 55; 2. 4kg/h,,, 30%,,,, [ 1 ]. [M ]. :, [ 2 ],,,. [ J ]., 2006, 34 (10 : [ 3 ],,,. [ J ]., 2007 (3 : [ 4 ]. [ J ]., 2006, 34 (9 : [ 5 ],,,. [ J ]., 2007, 35 (7 : :(19652,,,,, : (75 [ 7 ] W edekind G L, Bhatt B L, and Beck B T, et al. A system mean void fraction model for p redicting various transient phenomena associated with two phase evapo2 rating and condensing flows [ J ]. International Journal of Multiphase Flow, 1978, ( 4 : [ 8 ],,. [ J ]., 1999, 20 (1 : :( 19812,,, VRV :( 19682,,,, :
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