| Units: | % |
| Mode: | Input Only |
| Multi-band: | False |
| Default Value: | 100 |
| Validation Rule: | Between 0 And 100 |
| Key Property: | No |
| Description: | Maximum capacity factor (energy constraint) |
Generator Min Capacity Factor and Max Capacity Factor (and their period-specific variants) define bounds on a facilities' capacity factor on an interval, hourly, daily, weekly, monthly, or annual basis.
A straight-forward approach to modelling an energy-limited generator (e.g. hydro) is to place periodic limits on the generator's rating along with capacity factor constraints as in Table 1
| Property | Value | Units | Timeslice |
|---|---|---|---|
| Units | 1 | - | |
| Max Capacity | 250 | MW | |
| Rating | 200 | MW | M01 |
| Rating | 200 | MW | M02 |
| Rating | 200 | MW | M03 |
| Rating | 250 | MW | M04 |
| Rating | 250 | MW | M05 |
| Rating | 250 | MW | M06 |
| Rating | 250 | MW | M07 |
| Rating | 250 | MW | M08 |
| Rating | 250 | MW | M09 |
| Rating | 200 | MW | M10 |
| Rating | 200 | MW | M11 |
| Rating | 200 | MW | M12 |
| Max Capacity Factor Month | 24 | % | M01 |
| Max Capacity Factor Month | 66 | % | M02 |
| Max Capacity Factor Month | 68 | % | M03 |
| Max Capacity Factor Month | 63 | % | M04 |
| Max Capacity Factor Month | 76 | % | M05 |
| Max Capacity Factor Month | 36 | % | M06 |
| Max Capacity Factor Month | 77 | % | M07 |
| Max Capacity Factor Month | 46 | % | M08 |
| Max Capacity Factor Month | 22 | % | M09 |
| Max Capacity Factor Month | 4 | % | M10 |
| Max Capacity Factor Month | 15 | % | M11 |
| Max Capacity Factor Month | 8 | % | M12 |
Note the use Capacity
Factor Month variant and timeslices
(patterns) to change the rating and capacity factor limits by month of
year.
The simulator converts the energy constraints into Constraint objects. By default the constraints are hard i.e. no violation is allowed. If you prefer to allow violations then use the Max Energy Penalty property.
For the case above, the output for the generator across a two year horizon is shown in Table 2.
| Month Beginning | Generation | Capacity Factor |
|---|---|---|
| 1-Jul-01 | 143.22 | 77 |
| 1-Aug-01 | 85.56 | 46 |
| 1-Sep-01 | 39.6 | 22 |
| 1-Oct-01 | 7.44 | 4 |
| 1-Nov-01 | 27 | 15 |
| 1-Dec-01 | 14.88 | 8 |
| 1-Jan-02 | 44.64 | 24 |
| 1-Feb-02 | 110.88 | 66 |
| 1-Mar-02 | 126.48 | 68 |
| 1-Apr-02 | 113.4 | 63 |
| 1-May-02 | 141.36 | 76 |
| 1-Jun-02 | 64.8 | 36 |
| 1-Jul-02 | 143.22 | 77 |
| 1-Aug-02 | 85.56 | 46 |
| 1-Sep-02 | 39.6 | 22 |
| 1-Oct-02 | 7.44 | 4 |
| 1-Nov-02 | 27 | 15 |
| 1-Dec-02 | 14.88 | 8 |
| 1-Jan-03 | 44.64 | 24 |
| 1-Feb-03 | 110.88 | 66 |
| 1-Mar-03 | 126.48 | 68 |
| 1-Apr-03 | 113.4 | 63 |
| 1-May-03 | 141.36 | 76 |
| 1-Jun-03 | 64.8 | 36 |
The solution file contains a new constraint and report the following
information:
| Month Beginning | Activity | Slack | Price | Hours Binding |
|---|---|---|---|---|
| 01-Jul-01 | 143.22 | 0.00 | 24,260.90 | 744.00 |
| 01-Aug-01 | 85.56 | 0.00 | 26,580.30 | 744.00 |
| 01-Sep-01 | 39.60 | 0.00 | 28,436.20 | 720.00 |
| 01-Oct-01 | 7.44 | 0.00 | 48,205.10 | 744.00 |
| 01-Nov-01 | 27.00 | 0.00 | 26,793.70 | 720.00 |
| 01-Dec-01 | 14.88 | 0.00 | 32,748.20 | 744.00 |
| 01-Jan-02 | 44.64 | 0.00 | 26,649.10 | 744.00 |
| 01-Feb-02 | 110.88 | 0.00 | 17,644.70 | 672.00 |
| 01-Mar-02 | 126.48 | 0.00 | 16,684.30 | 744.00 |
| 01-Apr-02 | 113.40 | 0.00 | 25,554.60 | 720.00 |
| 01-May-02 | 141.36 | 0.00 | 27,109.20 | 744.00 |
| 01-Jun-02 | 64.80 | 0.00 | 33,758.50 | 720.00 |
| 01-Jul-02 | 143.22 | 0.00 | 26,939.00 | 744.00 |
| 01-Aug-02 | 85.56 | 0.00 | 27,974.30 | 744.00 |
| 01-Sep-02 | 39.60 | 0.00 | 36,695.00 | 720.00 |
| 01-Oct-02 | 7.44 | 0.00 | 44,218.00 | 744.00 |
| 01-Nov-02 | 27.00 | 0.00 | 33,023.30 | 720.00 |
| 01-Dec-02 | 14.88 | 0.00 | 52,726.40 | 744.00 |
| 01-Jan-03 | 44.64 | 0.00 | 29,653.30 | 744.00 |
| 01-Feb-03 | 110.88 | 0.00 | 13,314.30 | 672.00 |
| 01-Mar-03 | 126.48 | 0.00 | 11,880.00 | 744.00 |
| 01-Apr-03 | 113.40 | 0.00 | 18,285.00 | 720.00 |
| 01-May-03 | 141.36 | 0.00 | 18,842.30 | 744.00 |
| 01-Jun-03 | 64.80 | 0.00 | 27,695.70 | 720.00 |
This output shows that the constraint is binding in every month (Slack
= 0). The Price is in units of $/GWh
thus the first months shadow price on the constraint is $24.26 per MWh. This is the marginal value of relieving
the capacity factor constraint in that month also equal to the
equivalent shadow price of the generator.
See also: