Optimization Pump Power
The Optimization Pump Power category allows the user to specify the parameters for linearizing pumping power. This category has no dependencies.
None
This is the default method. No slots are added for this method.
Pump Independent Linearizations
The Independent Linearizations method linearizes all the variables separately.
Although the corresponding Simulation Pump Power method may model pumping at the unit level. This method can only model pumping at the plant level.
Slots Specific to This Method
Pump Power Lin Data
Type: Table Slot
Units: Length, Flow, Power
Description: 3-D table used to determine plant pumping power using interpolation. This table is analogous to the Plant Power Table for the Plant Efficiency Curve Power Method. (See
Plant Efficiency Curve in Objects and Methods.)
Information: Data must be entered into the table in increasing, concave blocks of the same Operating Head for the three-dimensional table interpolation to work correctly. For every block of the same Operating Head in column 1, Pumped Flow and the corresponding Pump Power should be listed in increasing, concave order in columns 2 and 3. There must be a point of zero Pumped Flow and zero Pump Power for each Operating Head. The following table is an example of the proper way to formulate the Pump Power Lin Data table.
Operating Head | Pumped Flow | Pump Power |
---|
30 | 0 | 0 |
30 | 100 | 100 |
30 | 200 | 175 |
40 | 0 | 0 |
40 | 100 | 125 |
40 | 220 | 195 |
50 | 0 | 0 |
50 | 110 | 147 |
50 | 250 | 205 |
Defined by: Input
Max Pump Q
Type: Table slot
Units: Length, Flow
Description: Operating Head vs. Pumped Flow for maximum pumped flow capacity for each Operating Head in the Pump Power Lin Data table
Information: The Operating Head values in this table should match the Operating Head values from the Pump Power Lin Data table, one row for each Operating Head. The Pump Q Capacity for each Operating Head should match the highest Pumped Flow value for that Operating Head from the Pump Power Lin Data table.
Defined by: Input
Pump Power LP Param
Type: Table Slot
Units: Length and Flow
Description: Specifies the Operating Head and the flow points used to take the tangent, line and piecewise approximations for the Pump Power linearization
Information: This table must be user input. The best Operating Head to choose should be close to the expected head during optimized period. Tangent approximation is generally not used, nor helpful as it often results in non-zero pump power for zero flow. The suggested points for a line approximation are 0 flow and best pumped flow for the entire plant. The suggested points for piecewise linearization are 0 flow, 1 unit best pumped flow, 2 units best pumped flow ... n units best pumped flow, and maximum pumped flow.
Defined by: Input
Pump Q Capacity
Type: Series Slot
Units: Flow
Description: The linearized maximum pumped flow for the entire plant at each timestep.
Information: This slot is computed during Optimization. It will not display values unless a Post-optimization Rule is written to explicitly set the slot value using the OptValue function.
Defined by: Numerical 2-D approximation in terms of Operating Head, based on the Max Pump Q table and the Pump Q Capacity LP Param Table
Pump Q Capacity LP Param
Type: Table Slot
Units: Length, Length, Length
Description: Specifies the Operating Head points used to take the tangent, line and piecewise approximation for the Pump Q Capacity linearization.
Information: This table must be user input. In reality, only the Piecewise approximation is used, so only the Piecewise column is required to have data. The Operating Head values specified should cover the range of expected Operating Head for the run and should result in a concave curve of Pump Q Capacity vs. Operating Head. It is best to define this linearized curve of Pump Q Capacity such that it does not go above the full curve defined by the Pump Q Capacity table slot.
Method Details
If the Optimization problem uses Pump Power, either directly or indirectly, the Pump Power slot is added to the problem.
Before being passed to the Optimization solver, the Pump Power slot is numerically approximated as a function of Operating Head and Pumped Flow (Numerical 3-D Approximation).
The relationship between Operating Head and Pumped Flow comes from the Pump Power Lin Data table. This table must be user input. The table is queried using the points defined in the Pump Power LP Param table.