Question

In: Mechanical Engineering

4. Consider the following three IC curves: PG1 = -100+50(IC) 1 – 2 (IC)12 PG2 =...

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

Solutions

Expert Solution

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.

IN CASE YOU LIKE MY SOLUTION PLEASE GIVE A THUMBS UP !!


Related Solutions

Consider the following three projects: Project/time line 0 1 2 3 4 A -95 50 40...
Consider the following three projects: Project/time line 0 1 2 3 4 A -95 50 40 40 0 B -115 35 40 45 50 C -125 60 60 60 -20 The cost of capital of the firm is 10%. Based on the IRR decision rule: 1. Should you invest in Project A? Below are multiple choice for the IRR calculation i) 16.55% ii) 17.61% iii) 18.31% iv) 20.22% v) Cannot calculate Answer: I should/should not (choose one) invest in Project...
100 50 / 2006 2003 - 2.5 1.25 / 4 ^ * * 2 4 2...
100 50 / 2006 2003 - 2.5 1.25 / 4 ^ * * 2 4 2 ^ # ^ / Postfix expression please explain
Problems: 1. Consider the following situation: 100 people are gathered in a room and 50 of...
Problems: 1. Consider the following situation: 100 people are gathered in a room and 50 of them are selected at random and given a mug, those that were given the mug are asked for the minimum amount of money they would need to give up the mug and those without the mug are asked for the maximum amount they would be prepared to pay for the mug. (a) What does standard theory predict the average amounts written down in each...
Consider these curves: MC = 6Q AC = (50/Q) + 3Q Demand: P = 50 -...
Consider these curves: MC = 6Q AC = (50/Q) + 3Q Demand: P = 50 - 2Q MR = 50 - 4Q 1. For a monopolist, the profit-maximizing quantity will be ____. They will charge a price of ____ and make the profit ____. (Fill in blanks) 2. Graph the curves and label Qm, Price, and Profit 3. What quantity would maximize efficiency?
Consider the following sample information randomly selected from two populations. Sample 1 Sample 2 n1=100   n2=50...
Consider the following sample information randomly selected from two populations. Sample 1 Sample 2 n1=100   n2=50 x1=30   x2=20 a. nbsp Determine if the sample sizes are large enough so that the sampling distribution for the difference between the sample proportions is approximately normally distributed. b. Calculate a 98​% confidence interval for the difference between the two population proportions. a. Are the sample sizes sufficiently​ large? ​No, because np overbar and ​n(1minusp overbar​) are less than 5 for both samples. ​No,...
Consider the following time series data. Week 1 2 3 4 5 6 Value 19 12...
Consider the following time series data. Week 1 2 3 4 5 6 Value 19 12 15 11 18 13 a. Use α = 0.2 to compute the exponential smoothing forecasts for the time series. Week Time Series Value Forecast 1 19 2 12 3 15 4 11 5 18 6 13 Compute MSE. (Round your answer to two decimal places.) MSE =   b. Use a smoothing constant of α = 0.4 to compute the exponential smoothing forecasts. Week Time...
Consider the following time series data. Week 1 2 3 4 5 6 Value 18 12...
Consider the following time series data. Week 1 2 3 4 5 6 Value 18 12 16 10 17 15 (a) Construct a time series plot. What type of pattern exists in the data? The data appear to follow a horizontal pattern. (b) Develop the three-week moving average forecasts for this time series. (Round your answers to two decimal places.) Week Time Series Value Forecast 1 18 2 12 3 16 4 10 15.33 5 17 12.67 6 15 14.33...
Consider the following time series data. Week 1 2 3 4 5 6 Value 18 12...
Consider the following time series data. Week 1 2 3 4 5 6 Value 18 12 16 10 17 15 Develop the three-week moving average forecasts for this time series. (Round your answers to two decimal places.) Week Time Series Value Forecast 1 18 2 12 3 16 4 10 5 17 6 15 Compute MSE. (Round your answer to two decimal places.) MSE = What is the forecast for week 7? Use α = 0.2 to compute the exponential...
PPS S/O A B A B 1 $48 $40 50 100 2 52 49 50 100...
PPS S/O A B A B 1 $48 $40 50 100 2 52 49 50 100 3 39 24 50 200 4 58 27 50 200 5 66 25 50 200 *Stock B has a two-for-one stock split in year 3. Calculate the price-weighted index and the value-weighted index. Calculate the percentage change from year 2 to year 3 for both indexes. PPS=Price per share. S/O= Shares outstanding
Question 4: Consider the following sample information for three treatment groups. Treatment 1 Treatment 2 Treatment...
Question 4: Consider the following sample information for three treatment groups. Treatment 1 Treatment 2 Treatment 3 $8 $3 $3 6 2 4 10 4 5 9 3 4 Using the 0.05 significance level, use the ANOVA method to test the null hypothesis that the three treatment means are equal.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT