Optimizing solutions

Using optimizer

Hydrosolver includes mathematical optimization for solutions based on projected gradient descent method on a simplex. The following example utilizes a high-level enduser interface hydrosolver.optimization.optimize which takes over the formulation of the optimization problem with the standard weighet least squares objective functional and runs the optimization process with default parameters.

>>> from hydrosolver.solution import Solution
>>> from hydrosolver.composition import Composition
>>> from hydrosolver.optimization import optimize
>>> from hydrosolver.database import pure, compo, chelates, howard_resh

>>> composition_target = howard_resh['Resh composition for peppers']

>>> compositions = [
...     compo['Hakaphos Basis 2'],
...     pure['Calcium-ammonium nitrate decahydrate'],
...     pure['Magnesium sulfate heptahydrate'],
...     chelates['Fe-EDTA 13.3%'],
...     chelates['Zn-EDTA 15%'],
...     pure['Boric acid'],
... ]
>>> solution_init = Solution.dissolve(
...     150,
...     Composition(name='RO water'),
...     compositions,
... )
>>> solution_optimal = optimize(solution_init, composition_target)
>>> solution_optimal
Composition                             Amount in kg    Amount in g
------------------------------------  --------------  -------------
Hakaphos Basis 2                         0.153874        153.874
Calcium-ammonium nitrate decahydrate     0.148834        148.834
Magnesium sulfate heptahydrate           0.0579563        57.9563
Fe-EDTA 13.3%                            0.00390307        3.90307
Zn-EDTA 15%                              0.000175686       0.175686
Boric acid                               0.000194851       0.194851
RO water                               149.635        149635
Total:                                 150            150000

Composition: Resulting composition

Nutrient          Ratio    Amount mg/kg
----------  -----------  --------------
N (NO3-)    0.000172246     172.246
N (NH4+)    1.28593e-05      12.8593
P           4.02928e-05      40.2928
K           0.000340636     340.636
Mg          6.28412e-05      62.8412
Ca          0.000184008     184.008
S           5.02674e-05      50.2674
Fe          4.99947e-06       4.99947
Zn          3.2956e-07        0.32956
B           3.29649e-07       0.329649
Mn          5.12913e-07       0.512913
Cu          2.05165e-07       0.205165
Mo          1.02583e-08       0.0102583