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1.2 Background <strong>and</strong> literature review 35<br />

Strategies (costs <strong>and</strong> feasibility) <strong>of</strong> <strong>solar</strong> energy conversion based on open loop, flat-plate<br />

<strong>solar</strong> collector systems were studied by Badescu (Badescu, 2008). The optimization<br />

problem was solved by using a direct shooting approach - trajectory optimization by<br />

ma<strong>the</strong>matical programming (TOMP) developed by Kraft (Kraft, 1994). A registry-type,<br />

flat-plate <strong>solar</strong> collector <strong>and</strong> meteorological database for Bucharest were used in this study.<br />

Simulations were performed during a one-year operating period <strong>and</strong> good agreement was<br />

observed in calculations with <strong>the</strong> measurements available in literature. Estimates obtained<br />

for <strong>the</strong> considered system indicated that <strong>the</strong> maximum exergetic efficiency was usually less<br />

than 3 %.<br />

The next study <strong>of</strong> Badescu (Badescu, 2008) was also conducted to determine <strong>the</strong> optimal<br />

flow control in a closed loop flat plate <strong>solar</strong> collector, which cooperated with a water<br />

storage tank. The following design configurations were analyzed: a tank with one<br />

serpentine <strong>and</strong> a tank with two serpentines. In both cases, a fully mixed regime in <strong>the</strong><br />

storage tanks was considered. In <strong>the</strong> present project, <strong>the</strong> author implemented an indirect<br />

optimal control technique based on Pontryagin’s maximum principle. As it turned out, <strong>the</strong><br />

first considered system performed better than <strong>the</strong> second configuration. There is one<br />

limitation in <strong>the</strong> storage system with one serpentine. It should not operate during <strong>the</strong> winter<br />

period in regions with higher latitudes. Badescu (Badescu, 2008) stated that <strong>the</strong> optimal<br />

operation strategy consists <strong>of</strong> two jump steps up <strong>and</strong> two jump steps down between zero<br />

<strong>and</strong> <strong>the</strong> maximum rate <strong>of</strong> fluid flow in <strong>the</strong> primary circuit <strong>of</strong> <strong>the</strong> storage tank.<br />

Biaou <strong>and</strong> Bernier (Biaou, et al., 2008) carried out research in <strong>the</strong> various ways <strong>of</strong><br />

domestic hot water production for two climate conditions: Montreal <strong>and</strong> Los Angeles. The<br />

following renewable energy sources were examined:<br />

� conventional electric hot water tank,<br />

� ground-source heat pump (GSHP) desuperheater (refrigerant-to-water heat<br />

exchanger) combined with a regular electric hot water tank,<br />

� SDHW system composed <strong>of</strong> flat plate <strong>solar</strong> collectors, an external heat exchanger, a<br />

<strong>solar</strong> water storage tank <strong>and</strong> a regular auxiliary electric water tank, two circulators<br />

<strong>and</strong> a temperature controller (Fig. 1.13),<br />

� heat pump water heater (HPWH) indirectly coupled to a space conditioning<br />

ground-source heat pump.<br />

Four alternative systems were applied in zero-net energy homes (ZNEH), consisting <strong>of</strong> a<br />

well-insulated two-storey 156 m 2 residence with an unheated half-basement.

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