Question

For Problems 1-4, consider the unit commitment problem attached. Solve using dynamic programming. Problem 1: Perform unit commitment for this three-generator system considering the first three hours only. Ignore reserve requirements and ramping constraints. Problem 2: Perform unit commitment for this three-generator system considering the first three hours only. Ignore ramping constraints. However, take into consideration that the reserve requirement at each hour is at least 7% of the load of that hour. What do you observe? Problem 3: Perform unit commitment for this three-generator system considering the first three hours only. Ignore reserve requirements. However, take into consideration that the ramp rate for all units is 55 MW/hr. What do you observe? Problem 4: Perform unit commitment for this three-generator system considering all the five hours. Ignore reserve requirements and ramping constraints. [Hint: You might need to define the state not only by the unit status, but also by the unit history. For example, consider the combination 011 (unit 1 OFF, unit 2 ON, unit 3 ON). On the slides, this represented one state. In general, however, at least two states should be defined by 011: a state where unit B has been ON for 1 hour only, and a state where unit B has been on for two hours.]

          For Problems 1-4, consider the unit commitment problem attached. Solve using dynamic
programming.
Problem 1:
Perform unit commitment for this three-generator system considering the first three hours only. Ignore
reserve requirements and ramping constraints.
Problem 2:
Perform unit commitment for this three-generator system considering the first three hours only. Ignore
ramping constraints. However, take into consideration that the reserve requirement at each hour is at
least 7% of the load of that hour. What do you observe?
Problem 3:
Perform unit commitment for this three-generator system considering the first three hours only. Ignore
reserve requirements. However, take into consideration that the ramp rate for all units is 55 MW/hr.
What do you observe?
Problem 4:
Perform unit commitment for this three-generator system considering all the five hours. Ignore reserve
requirements and ramping constraints.
[Hint: You might need to define the state not only by the unit status, but also by the unit history. For
example, consider the combination 011 (unit 1 OFF, unit 2 ON, unit 3 ON). On the slides, this
represented one state. In general, however, at least two states should be defined by 011: a state where
unit B has been ON for 1 hour only, and a state where unit B has been on for two hours.]

For Problems 1-4, consider the unit commitment problem attached. Solve using dynamic
programming.
Problem 1:
Perform unit commitment for this three-generator system considering the first three hours only. Ignore
reserve requirements and ramping constraints.
Problem 2:
Perform unit commitment for this three-generator system considering the first three hours only. Ignore
ramping constraints. However, take into consideration that the reserve requirement at each hour is at
least 7% of the load of that hour. What do you observe?
Problem 3:
Perform unit commitment for this three-generator system considering the first three hours only. Ignore
reserve requirements. However, take into consideration that the ramp rate for all units is 55 MW/hr.
What do you observe?
Problem 4:
Perform unit commitment for this three-generator system considering all the five hours. Ignore reserve
requirements and ramping constraints.
[Hint: You might need to define the state not only by the unit status, but also by the unit history. For
example, consider the combination 011 (unit 1 OFF, unit 2 ON, unit 3 ON). On the slides, this
represented one state. In general, however, at least two states should be defined by 011: a state where
unit B has been ON for 1 hour only, and a state where unit B has been on for two hours.]

Added by John A.

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