Hi all:
Just a few theoretical calculations on an interesting subject.
At the Earth’s surface, on a clear day, incident solar energy intensity is about 1kW per square meter. This is the intensity on a plane perpendicular to the solar rays. This intensity is more or less constant along the year, irrespective of solar inclination, if we assume that atmospheric transmissivity is constant.
A small G gauge locomotive (LGB Porter), pulling a small 6 axles train (three four wheeld cars), can operate at a reasonable pace under 12V, drawing 0,5 Amps, that is, 6W.
The effective energy produced by a solar panel, assuming the quoted 1kW per sq. m is:
E = 1000 × Areap × sin α × Efficiency x Meteo
where E is the energy output of the panel (W), Areap is the area of the panel (sqm), α the incidence angle of the sun rays on the panel, Efficiency the global efficiency of the panel and Meteo the transmissivity of the atmosphere compared with a clear day.
The required area of the panel can be obtained by:
Areap = E / (1000 × sin α × Efficiency x Meteo)
If we admit a small LGB Porter needing 6W, a clear summer day near midday with α = 45° and Meteo = 80%, and a global panel efficiency of 15%, we will have, for flat and horizontal panels installed on the top of the trailing cars:
Areap = 6 / (1000 × 0.70 × 0.15 x 0.80*) =* 0,07 sqm = 110 square inches
Limiting the maximum width of the panels to 5’’, we will need a total length of panels of 22”, that is, about 7’’ by panel assuming three trailing cars, which is just about doable (even if not very elegant) if the line does not have too many shaded spots.
José Morais
Manager of the Lapa Furada RR