The use of solar energy at the building scale today presents two viable options: grid-tied photovoltaic systems, and thermal systems utilizing absorption or adsorption cycles for cooling. The economic viability of either option is presently commensurate, however, specifically for the case of thermal systems, there is a major caveat, namely that the system must truly save energy, and must be reliable over its typical expected lifetime. While the basic design of a solar thermal system is relatively simple, there are many details that, if not carefully considered, can lead to poor performance, lack of reliability, and potentially catastrophic failure. Based on experience in designing, building, operating and analyzing such a system for several years, a set of guidelines is presented for each major system component, namely the solar loop, hot storage, cold storage, the heating and cooling subsystems, and the control system. These design recommendations should assist engineers in preventing costly mistakes that are difficult to correct. If followed, the guidelines should also reduce maintenance and prolong trouble-free performance of building-scale thermal systems. Keywords: robust design, reliability, economic performance, energy efficiency. BackgroundBuilding operation comprises a substantial fraction (40-50%) of the overall energy budgets of industrially developed countries [1] and an even larger fraction of the electric energy budgets (>70%). The advantages of minimizing the related energy expenditures are obvious, and have studied extensively in the last several decades, especially since the first and subsequent energy crises raised awareness Energy and Sustainability III 3
LEGAL N O T I C Efhb report w a r preporad as an account of Govcrnmanr BNWL-940 UC-32, Mathematics and Computers D I G I T A L S O L U T I O N O F T H E R E A C T O R K I N E T I C E Q U A T I O N S B Y T H E T H E T A M E T H O D FOR F A S T ( F F T F ) A N D T H E R M A L R E A C T O R S R. A. Burnett Control and Instrumentation Department Systems and Electronics DivisionFebruary 1969 BATTELLE MEMORIAL INSTITUTE PACIFIC NORTHWEST LABORATORY RICHLAND, WASHINGTON 99352P r i n t e d i n t h e U n i t e d S t a t e s o f America A v a i l a b l e from C l e a r i n g h o u s e f o r F e d e r a l S c i e n t i f i c and T e c h n i c a l I n f o r m a t i o n N a t i o n a l Bureau o f S t a n d a r d s , U.S. Department o f Commerce S p r i n g f i e l d , V i r g i n i a 22151 P r i c e : P r i n t e d Copy $ 3 . 0 0 ; M i c r o f i c h e $ 0 . 6 5 i i i D I G I T A L S O L U T I O N O F T H E R E A C T O R K I N E T I C E Q U A T I O N S B Y T H E T H E T A M E T H O D F O R F A S T ( F F T F ) A N D T H E R M A L R E A C T O R S R . A. B u r n e t t A B S T R A C T Three v a r i a t i o n s o f a d i g i t a l i n t e g r a t i o n f o r m u l a known a s t h e T h e t a method were u s e d t o s o l v e t h e n u c l e a r r e a c t o r p o i n t k i n e t i c s e q u a t i o n s on a D i g i t a l Equipment C o r p o r a t i o n PDP-7 computer. The e q u a t i o n s were a l s o s o l v e d by t r a p e z o i d a l i n t eg r a t i o n . A t h r e e -d e l a y -g r o u p model was programmed w i t h t h e rmal r e a c t o r p a r a m e t e r s . P r i n t o u t s o l u t i o n s were o b t a i n e d f o r a r e a c t i v i t y s t e p i n p u t o f -0 . 0 0 5 and were compared t o an a n a l y t i c a l s o l u t i o n . For o t h e r r e a c t i v i t y i n p u t s , h y b r i d equipment was u s e d t o compare t h e d i g i t a l r e s u l t s t o ana n a l o g s o l u t i o n computed s i m u l t a n e o u s l y on a Beckman EASE 2133 a n a l o g computer. The a n a l y t i c a l and a n a l o g s o l u t i o n s were assumed t o b e t h e " t r u e " s o l u t i o n s . F a s t r e a c t o r c o n s t a n t s were t h e n i n s e r t e d and t h e t e s t s r e p e a t e d . A s i m p l e m o d i f i c a t i o n o f one o f t h e w e i g h t i n g p a r a m e t e r s d i s p l a y e d a d e f i n i t e a c c u r a c y a d v a n t a g e o v e r i n t e g r a t i o n by t h e t r a p e z o i d a l r u l e i n t h e c a lc u l a t i o n o f f a s t t r a n s i e n t s , a l t h o u g h i t r e q u i r e d n e a r l y two and o n e -h a l f t i m e s t h e s o l u t i o n t i m e o f t h e t r a p e z o i d a l method.I n t h e c a s e o f more s l o w l y c h a n g i n g power l e v e l s , t h e t r a p ez o i d a l r u l e was a b l e t o n e a r l y match t h e a c c u r a c y o f t h e T h e t a method. A s i m p l i f i e d v a r i a t i o n o f t h e T h e t a method r e q u i r e d o n l y 20 t o 35% more s o l u t i o n t i m e t h a n t r a p e z o i d a l i n t e g r a t i o n w h i l e h a n ...
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