Given the uni data in Tables 5.8 and 5.9, use forward dynamic- programming to find the optimum unit commitment schedules covering the 8-h period. Table 5.9 gives all the combinations you need, as well as the operating cost for each at the loads in the load data. A x", indicates that a combination cannot supply the load. The starting conditions are: at the beginning of the first period units 1 and 2 are up, units 3 and 4 are down and have been down for 8 h TABLE 5.8 Unit Commitment Data for Problem 5.1 Max (MW) Min (MW) 70 Incremental Heat Rate (Btu/kWh) No-Load Energy Input (MBtu/h) Start-Up Energy (MBtu) Unit 250 150 150 9950 10200 11000 1000 800 380 110 110 30 30 120 120 Load data (all time periods = 2 h); Time Period Load (MW) 800 700 950 4 Start-up and shut-down rules: Unit Minimum Up Time (h) Minimum Down Time (h) 4 4 Fuel cost 1.00 R MBtu. TABLE 5.9 Unit Combinations and Operating Cost for Problem 5.1 Operating Cost (R/h) Unit Uni Uni Uni Load Load Load Load Combination 1 4 600MW 700 MW 800 MW 950 MW 7525 7669 7813 0 0 6505 6649 6793 8705 8833 10475 1 = up; 0 = down. Given the uni data in Tables 5.8 and 5.9, use forward dynamic- programming to find the optimum unit commitment schedules covering the 8-h period. Table 5.9 gives all the combinations you need, as well as the operating cost for each at the loads in the load data. A x", indicates that a combination cannot supply the load. The starting conditions are: at the beginning of the first period units 1 and 2 are up, units 3 and 4 are down and have been down for 8 h TABLE 5.8 Unit Commitment Data for Problem 5.1 Max (MW) Min (MW) 70 Incremental Heat Rate (Btu/kWh) No-Load Energy Input (MBtu/h) Start-Up Energy (MBtu) Unit 250 150 150 9950 10200 11000 1000 800 380 110 110 30 30 120 120 Load data (all time periods = 2 h); Time Period Load (MW) 800 700 950 4 Start-up and shut-down rules: Unit Minimum Up Time (h) Minimum Down Time (h) 4 4 Fuel cost 1.00 R MBtu. TABLE 5.9 Unit Combinations and Operating Cost for Problem 5.1 Operating Cost (R/h) Unit Uni Uni Uni Load Load Load Load Combination 1 4 600MW 700 MW 800 MW 950 MW 7525 7669 7813 0 0 6505 6649 6793 8705 8833 10475 1 = up; 0 = down