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Feature/piecewise #206

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106 changes: 46 additions & 60 deletions flixOpt/features.py
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Original file line number Diff line number Diff line change
Expand Up @@ -656,52 +656,6 @@ def compute_consecutive_duration(
)


class PieceModel(Model):
"""Class for modeling a linear piece of one or more variables in parallel"""

def __init__(
self,
model: SystemModel,
label_of_element: str,
label: str,
as_time_series: bool = True,
):
super().__init__(model, label_of_element, label)
self.inside_piece: Optional[linopy.Variable] = None
self.lambda0: Optional[linopy.Variable] = None
self.lambda1: Optional[linopy.Variable] = None
self._as_time_series = as_time_series

def do_modeling(self):
self.inside_piece = self.add(self._model.add_variables(
binary=True,
name=f'{self.label_full}|inside_piece',
coords=self._model.coords if self._as_time_series else None),
'inside_piece'
)

self.lambda0 = self.add(self._model.add_variables(
lower=0, upper=1,
name=f'{self.label_full}|lambda0',
coords=self._model.coords if self._as_time_series else None),
'lambda0'
)

self.lambda1 = self.add(self._model.add_variables(
lower=0, upper=1,
name=f'{self.label_full}|lambda1',
coords=self._model.coords if self._as_time_series else None),
'lambda1'
)

# eq: lambda0(t) + lambda1(t) = inside_piece(t)
self.add(self._model.add_constraints(
self.inside_piece == self.lambda0 + self.lambda1,
name=f'{self.label_full}|inside_piece'),
'inside_piece'
)


class PiecewiseModel(Model):

def __init__(
Expand Down Expand Up @@ -731,28 +685,60 @@ def __init__(
self._zero_point = zero_point
self._as_time_series = as_time_series

self.pieces: List[PieceModel] = []
self.zero_point: Optional[linopy.Variable] = None
self.inside_piece: List[linopy.Variable] = []
self.lambda0: List[linopy.Variable] = []
self.lambda1: List[linopy.Variable] = []

def do_modeling(self):
for i in range(len(list(self._piecewise_variables.values())[0])):
new_piece = self.add(
PieceModel(
model=self._model,
label_of_element=self.label_of_element,
label=f'Piece_{i}',
as_time_series=self._as_time_series,
)
inside_piece = self.add(
self._model.add_variables(
binary=True,
name=f'{self.label_full}|Piece_{i}|inside_piece',
coords=self._model.coords if self._as_time_series else None,
),
f'Piece_{i}|inside_piece',
)

lambda0 = self.add(
self._model.add_variables(
lower=0,
upper=1,
name=f'{self.label_full}|Piece_{i}|lambda0',
coords=self._model.coords if self._as_time_series else None,
),
f'Piece_{i}|lambda0',
)
self.pieces.append(new_piece)
new_piece.do_modeling()

lambda1 = self.add(
self._model.add_variables(
lower=0,
upper=1,
name=f'{self.label_full}|Piece_{i}|lambda1',
coords=self._model.coords if self._as_time_series else None,
),
f'Piece_{i}|lambda1',
)

# eq: lambda0(t) + lambda1(t) = inside_piece(t)
self.add(
self._model.add_constraints(
inside_piece == lambda0 + lambda1, name=f'{self.label_full}|Piece_{i}|inside_piece'
),
f'Piece_{i}|inside_piece',
)

self.lambda0.append(lambda0)
self.lambda1.append(lambda1)
self.inside_piece.append(inside_piece)

for var_name in self._piecewise_variables:
variable = self._model.variables[var_name]
self.add(self._model.add_constraints(
variable == sum([piece_model.lambda0 * piece_bounds.start
+ piece_model.lambda1 * piece_bounds.end
for piece_model, piece_bounds in zip(self.pieces, self._piecewise_variables[var_name], strict=False)]),
variable == sum([lambda0 * piece_bounds.start
+ lambda1 * piece_bounds.end
for lambda0, lambda1, piece_bounds in zip(self.lambda0, self.lambda1, self._piecewise_variables[var_name], strict=False)]),
name=f'{self.label_full}|{var_name}_lambda'),
f'{var_name}_lambda'
)
Expand All @@ -774,7 +760,7 @@ def do_modeling(self):
rhs = 1

self.add(self._model.add_constraints(
sum([piece.inside_piece for piece in self.pieces]) <= rhs,
sum(self.inside_piece) <= rhs,
name=f'{self.label_full}|{variable.name}_single_segment'),
'single_segment'
)
Expand Down