In: Mechanical Engineering
4. Consider the following three IC curves:
PG1 = -100+50(IC) 1 – 2 (IC)12
PG2 = -150+60(IC) 2 – 2.5 (IC)22
PG3 = -80+40(IC) 3 – 1.8 (IC)32
Where ICs are in Rs/MWh and PGS are in MW. The total load at a certain hour of the day is 400 MW. Neglect transmission loss and develop a computer programme for optimum generation scheduling within and accuracy of + 0.05 MW
Platform used :- MATLAB
Method used : Iterative.
Note I have varied ICs form 0.1 to 20 with a step of 0.1 considering the tolerance of pg has order of 0.05 and pg has ic^2 in it. Hence order of 0.1 was chosen for ic step. You can automate it even more for other polynomial functions of ic by first finding out the roots of the equations and then seeing the zones for which the pgs are positive quantity, then varying the ics in that range. Over here I have taken the range from 0.01 to 20 and we can see that already pg3 has become negative. So we have covered the best range.
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