Future Value

The methods in this category are used to determine the future value of the energy that would have been generated by the water that was lost through the spillway.

None

None is the default method for the Future Value category. No calculations are performed by this method.

There are no slots specific to this method.

Cumulative Storage Value Table

Slots Specific to This Method

Marginal Storage Value Table

Type: Table

Units: Volume vs $per Energy

Description: Storage versus marginal value per unit energy

Information: This table should be increasing in storage, and usually decreasing in marginal value.

I/O: Required input

Links: Not linkable

Spill Cost

Type: Series Slot

Units: $

Description: Future cost of energy lost due to spilled water

Information:

I/O: Output only

Links: May be linked to the Spill Cost slot on the Thermal Object.

Future Value of Used Energy

Type: Series Slot

Units: $

Description: Future value of energy used in the current timestep

Information:

I/O: Output only

Links: May be linked to Future Value of Used Energy Slot on the Thermal Object.

Anticipated Storage

Type: Series

Units: Volume

Description: The combination of Storage in the reservoir at the given timestep plus any flow (converted volume) that is in transit to the reservoir

Information: This slot represents the storage including any lagged flows that are already in a linked upstream reach, which will reach the reservoir at a later timestep. If there are no lagged reaches between this reservoir and the next upstream reservoir, Anticipated Storage will equal Storage. It is this storage value that will be used to calculate Cumulative Storage Value.

I/O: Output only

Links: May be linked

Cumulative Storage Value

Type: Series Slot

Units: $

Description: Represents the future energy value of the current Anticipated Storage

Information:

I/O: Output only

Links: May be linked to the Total Cumulative Storage Value Slot on the Thermal Object

Cumulative Storage Value Table

Type: Table

Units: Volume vs $

Description: Anticipated Storage and cumulative value used to calculate the Cumulative Storage Value as a function of Anticipated Storage

Information: This table should be increasing in storage and usually increasing in cumulative storage value.

I/O: Required input either by the user or automatically generated by RiverWare if the Cumulative Storage Value Table Automation method is selected.

Links: Not linkable

Method Details

This method uses the Marginal Storage Value Table and the calculated Spill and Turbine Release to compute the Spill Cost and Future Value of Used Energy. It then uses the Cumulative Storage Value Table and the calculated Anticipated Storage to compute the Cumulative Storage Value.

The correct marginal value is found from the current storage in the reservoir. If the current storage is less than the midpoint between the first and second storage table values, the first marginal value is used. The second marginal value is used for a current storage above that midpoint to the midpoint between the second and third storage table values. The last marginal value is used for any current storage above the midpoint between the second-to-last and the last storage table value. Table 18.3 is an example Marginal Value table. Figure 18.2 is a graph of the data.

Storage | Marginal Value |
---|---|

20 | 30 |

60 | 26 |

100 | 24 |

Figure 18.2 Marginal Storage Value graph

Assume that the current storage is 39. This method would use 30 as the marginal value for use in the next computation. Assume that the current storage is 41. In this case the method would use 26 as the marginal value for use in the next computation.

Use of a table in this fashion is unique to this method.

Spill Cost is computed as follows:

Future Value of Used Energy is computed as follows:

The Cumulative Storage Value computation begins by first calculating Anticipated Storage. This is the sum of the reservoir Storage plus any flow already in transit to the reservoir in an upstream lagged reach. For example, assume a reservoir’s Inflow slot is linked to a reach with a 3-hour lag time. In a 1 Hour timestep run, the reservoir’s Anticipated Storage would be calculated as follows:

If there are no lagged reaches between the reservoir and the next upstream reservoir, then Anticipated Storage will simply equal Storage.

The Cumulative Storage Value is then computed by interpolating from the Cumulative Storage Value Table using the calculated Anticipated Storage value.

Revised: 08/02/2021