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Complete Report - University of New South Wales

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4.5.7.3 Antenna Collection <strong>of</strong> Solar Energy<br />

Researchers:<br />

Richard Corkish, Samantha Wong, Gavin Conibeer<br />

Research on the potential use <strong>of</strong> antennae for conversion <strong>of</strong> solar energy to direct current<br />

electricity was revived during 2005, with a focus on the ultimate effi ciencies that could be<br />

achieved.<br />

Coherent, polarised, narrow-band radio waves may already be received and converted to<br />

direct current by rectifying antennae, or “rectennas” but the conversion <strong>of</strong> broad spectrum,<br />

incoherent, unpolarised solar radiation is more challenging. This work has continued to derive<br />

insights from the fi eld <strong>of</strong> radio astronomy, where the accurate detection <strong>of</strong> such radiation is<br />

well established. In particular, we have used the model <strong>of</strong> the “Dicke radiometer” to show that<br />

the electrical noise output <strong>of</strong> an antenna receiving solar radiation can be represented as that<br />

<strong>of</strong> a resistor at the sun’s black body temperature.<br />

The effi ciency <strong>of</strong> conversion <strong>of</strong> the noise power from a resistor has been studied already<br />

by others but our attempts to reproduce published results in a key paper repeatedly failed<br />

and discussions with the author led to a correction (http://summa.physik.hu-berlin.de/<br />

~ sokolov/).<br />

That work investigated the rectifi cation by a diode, at one temperature, <strong>of</strong> the electrical noise<br />

from a resistor at a higher temperature. Using the detailed balance method, the calculation<br />

showed that the effi ciency <strong>of</strong> a system with a diode rectifi er as a heat engine must always be<br />

less than the Carnot effi ciency. The reason for this thermodynamic irreversibility is that even<br />

when no work is done, heat transport takes place between the heat baths.<br />

The Carnot effi ciency increases with temperature. For an assumed black body temperatures<br />

<strong>of</strong> 6000K for the sun and 300K for the receiver, the Carnot effi cieny equals 0.95. Figure<br />

4.5.31 is a plot <strong>of</strong> the effi ciency <strong>of</strong> an ideal rectenna against the current drawn from the<br />

device, with a peak effi ciency at 48.81%. (Dimensionless current is shown as this does not<br />

depend on geometrical factors.)<br />

Camot Efficiency = 0.95<br />

Figure 4.5.31: Rectenna effi ciency vs.<br />

dimensionless current for a Carnot effi ciency<br />

<strong>of</strong> 95%.<br />

0.5<br />

0.4<br />

While signifi cant practical challenges<br />

remain for the possible implementation <strong>of</strong><br />

solar rectennas, the Centre’s work has now<br />

developed a model to predict their ultimate<br />

effi ciency.<br />

Efficiency<br />

0.3<br />

0.2<br />

-0.1<br />

0<br />

-4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 -0<br />

Normalised Current (dimensionless)<br />

93

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