Heat amount prediction method, heat amount prediction system, and recording medium having heat amount prediction program

Abstract

A method of predicting the amount of heat flowing into an object includes the steps of formulating a thermal circuit representing a heat flow into the object and an equation representing the thermal circuit; obtaining parameters for the equation; applying the parameters in the equation; and solving the equation to predict the amount of heat flowing into the object.

1 . A method of predicting an amount of heat flowing into an object, comprising the steps of: 
 formulating a thermal circuit representing a heat flow into the object and an equation representing the thermal circuit;    obtaining parameters for the equation;    applying the parameters in the equation; and    solving the equation to predict the amount of heat flowing into the object.    
   
   
       2 . The method of predicting the amount of heat as claimed in  claim 1 , wherein, when the heat flow into the object is i, a solar absorptance is a, a solar irradiance is I, an external temperature is T ex , an internal temperature is T in , a heat resistance of a structure between an exterior and an interior of the object is R c , a heat transfer resistance of an internal structure is r in , and a heat transfer resistance of an external structure is r ex , the equation representing the thermal circuit is expressed as follows: i={(a×I×r ex )+(T ex −T in )}/(R c +r in +r ex ).  
   
   
       3 . The method of predicting the amount of heat as claimed in  claim 1 , wherein changes in the amount of heat are predicted by the steps of: 
 (a) obtaining two or more sets of the parameters each set corresponding to a time point;    (b) applying one of the sets of the parameters in the equation;    (c) solving the equation and thereby obtaining the heat flow into the object at the corresponding time point;    (d) obtaining the amount of heat at a subsequent time point based on the heat flow obtained in step (c); and    (e) repeating the steps (b) through (d) for a number of the sets of the parameters.    
   
   
       4 . The method of predicting the amount of heat as claimed in  claim 1 , wherein, when an internal temperature at a time point j is T in(j) , an internal temperature at a time point (j+1) is T in(j+1) , an external temperature at the time point j is T ex(j) , parameters obtained by combining parameters relating to structural conditions and internal conditions of the object at the time point j are H (j) ′ and KS (j) , and a heat capacity of the object is C t , the internal temperature T in(j+1)  at the time point (j+1) is calculated as follows: T in(j+1) =T ex(j) +H (j) ′/KS (j) −(T ex(j) +H (j) ′/KS (j) −T in(j) )exp(−KS (j) /C t ).  
   
   
       5 . The method of predicting the amount of heat as claimed in  claim 4 , wherein time interval between the time point j and the time point (j+1) is within a range between about ten minutes and about an hour.  
   
   
       6 . A system to predict an amount of heat flowing into an object, wherein a thermal circuit representing a heat flow into the object and an equation representing the thermal circuit are used, comprising: 
 an acquisition unit configured to obtain parameters for the equation; and    a processing unit configured to apply the parameters in the equation and to solve the equation to predict the amount of heat flowing into the object.    
   
   
       7 . The system to predict the amount of heat as claimed in  claim 6 , wherein, when the heat flow into the object is i, a solar absorptance is a, a solar irradiance is I, an external temperature is T ex , an internal temperature is T in , a heat resistance of a structure between an exterior and an interior of the object is R c , a heat transfer resistance of an internal structure is r in , and a heat transfer resistance of an external structure is r ex , the equation representing the thermal circuit is expressed as follows: i={(a×I×r ex )+(T ex −T in )}/(R c +r in +r ex ).  
   
   
       8 . The system to predict the amount of heat as claimed in  claim 6 , wherein changes in the amount of heat are predicted by the steps of: 
 (a) obtaining two or more sets of the parameters each set corresponding to a time point;    (b) applying one of the sets of the parameters in the equation;    (c) solving the equation and thereby obtaining the heat flow into the object at the corresponding time point;    (d) obtaining the amount of heat at a subsequent time point based on the heat flow obtained in step (c); and    (e) repeating the steps (b) through (d) for a number of the sets of the parameters.    
   
   
       9 . The system to predict the amount of heat as claimed in  claim 6 , wherein, when an internal temperature at a time point j is T in(j) , an internal temperature at a time point (j+1) is T in(j+1) , an external temperature at the time point j is T ex(j) , parameters obtained by combining parameters relating to structural conditions and internal conditions of the object at the time point j are H (j) ′ and KS (j) , and a heat capacity of the object is C t , the internal temperature T in(j+1)  at the time point (j+1) is calculated as follows: T in(j+1) =T ex(j) +H (j) ′/KS (j) −(T ex(j) +H (j) ′/KS (j) −T in(j) )exp(−KS (j) /C t ).  
   
   
       10 . The system to predict the amount of heat as claimed in  claim 9 , wherein time interval between the time point j and the time point (j+1) is within a range between about ten minutes and about an hour.  
   
   
       11 . A recording medium having a program embodied therein for causing a computer to predict an amount of heat flowing into an object, said program comprising: 
 a first code unit for formulating a thermal circuit representing a heat flow into the object and an equation representing the thermal circuit;    a second code unit configured to obtain parameters for the equation;    a third code unit configured to apply the parameters in the equation; and    a fourth code unit configured to solve the equation to predict the amount of heat flowing into the object.    
   
   
       12 . The recording medium as claimed in  claim 11 , wherein, when the heat flow into the object is i, a solar absorptance is a, a solar irradiance is I, an external temperature is T ex , an internal temperature is T in , a heat resistance of a structure between an exterior and an interior of the object is R c , a heat transfer resistance of an internal structure is r in , and a heat transfer resistance of an external structure is r ex , the equation representing the thermal circuit is expressed as follows: i={(a×I×r ex )+(T ex −T in )}/(R c +r in +r ex ).  
   
   
       13 . The recording medium as claimed in  claim 11 , wherein changes in the amount of heat are predicted by the steps of: 
 (a) obtaining two or more sets of the parameters each set corresponding to a time point;    (b) applying one of the sets of the parameters in the equation;    (c) solving the equation and thereby obtaining the heat flow into the object at the corresponding time point;    (d) obtaining the amount of heat at a subsequent time point based on the heat flow obtained in step (c); and    (e) repeating the steps (b) through (d) for a number of the sets of the parameters.    
   
   
       14 . The recording medium as claimed in  claim 11 , wherein, when an internal temperature at a time point j is T in(j) , an internal temperature at a time point (j+1) is T in(j+1) , an external temperature at the time point j is T ex(j) , parameters obtained by combining parameters relating to structural conditions and internal conditions of the object at the time point j are H (j) ′ and KS (j) , and a heat capacity of the object is C t , the internal temperature T in(j+1)  at the time point (j+1) is calculated as follows: T in(j+1) =T ex(j) +H (j) ′/KS (j) −(T ex(j) +H (j) ′/KS (j) −T in(j) )exp(−KS (j) /C t ).  
   
   
       15 . The recording medium as claimed in  claim 14 , wherein time interval between the time point j and the time point (j+1) is within a range between about ten minutes and about an hour.