Ben-Gurion University of the Negev Jacob Blaustein Institutes for ...

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elevation. Hydroelectricity production was calculated for the arcs departing nodes from
B91 and B93 by the following equation (Horsley, 2002):
P = h*r*g*k (18)
Where:
P is power in kilowatts (kWh/m 3 );
h is height in meters (m);
r is flow rate in cubic meters per second (m 3 /s);
g is acceleration due to gravity of 9.8 m/s 2 ;
k is a coefficient of efficiency ranging from 0 to 1.
Efficiency is higher with larger turbines. Annual electric energy production depends on
the available water supply. In the framework of this study an approximation of
electricity production was calculated as follows (Horseley, 2002):
h = 100 (m);
r = 1/3600 (m 3 /s);
g = 9.8 (m/s 2 );
k = 0.73
P = 100 * 9.8 * 1/3600 * 0.73 = 0.2 (kWh/m 3 ).
3.6 The Decision Variable
Qij is the decision variable, which represent the flow rate to be transported from a given
source to a given destination every year.
3.7 Preliminary Work for Network Lay-out
A total of five different theoretical networking schemes were constructed: one
transportation scheme and four transshipment schemes. The transshipment schemes are
based on the results obtained from the solution of the transportation problem. The
geographical lay-outs were translated into mathematical equations as it is illustrated in
the previous paragraphs.
Some preliminary work was conducted for the lay-out of the networks.
The study area was divided into hydrological basis according to the official mapping
provided by ARRA Sicilia (Agenzia Regionale per i Rifiuti e le Acque).