Answer to Question #178887 in MatLAB for Sunil

Question

In a coal-fired power plant, operating on Carnot Cycle, it is possible to set any value for the

temperature of boiler in which heat is added to water at high temperature (T) and any value for

the temperature of condenser in which heat is rejected from steam at low temperature (TO), from

the following temperature list

T - [500 320 1000 775 385 670 845 1245 410 300 627 514)ⓇK

Being an operator of power plant you have to select T and Te from the above temperature list so

that power plant operates at its highest efficiency

Write a generalized MATLAB program to select two temperature values Th, and Te for above

condition, without using min and max built-in function

Print the maximum efficiency of cycle and the temperatures at which it occurs.

Answer 1

% List of possible temperatures
T = [500 320 1000 775 385 670 845 1245 410 300 627 514];
Th_best = T(1); % The best temperature of boiler
Te_best = T(1); % The best temperature of condenser
eff_best = 1 - Te_best/Th_best; % The best efficency

n = length(T);
for i=2:n
    Th = T(i);
    for j = 2:n
        Te = T(j);
        eff = 1 - Te / Th;
        if eff > eff_best
            eff_best = eff;
            Th_best = Th;
            Te_best = Te;
        end
    end
end

fprintf('The maximum efficency is %.1f%%\n', eff_best*100);
fprintf('at boiler temperature %dK and condenser temperature %dK\n', ...
    Th_best, Te_best);