.. DO NOT EDIT. .. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. .. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: .. "examples/formulations/plot_sobieski_bilevel_example.py" .. LINE NUMBERS ARE GIVEN BELOW. .. only:: html .. note:: :class: sphx-glr-download-link-note Click :ref:`here ` to download the full example code .. rst-class:: sphx-glr-example-title .. _sphx_glr_examples_formulations_plot_sobieski_bilevel_example.py: BiLevel-based MDO on the Sobieski SSBJ test case ================================================ .. GENERATED FROM PYTHON SOURCE LINES 26-38 .. code-block:: default from __future__ import division, unicode_literals from copy import deepcopy from future import standard_library from gemseo.api import configure_logger, create_discipline, create_scenario from gemseo.problems.sobieski.core import SobieskiProblem standard_library.install_aliases() configure_logger() .. rst-class:: sphx-glr-script-out Out: .. code-block:: none .. GENERATED FROM PYTHON SOURCE LINES 39-46 Instantiate the disciplines ---------------------------- First, we instantiate the four disciplines of the use case: :class:`~gemseo.problems.sobieski.wrappers.SobieskiPropulsion`, :class:`~gemseo.problems.sobieski.wrappers.SobieskiAerodynamics`, :class:`~gemseo.problems.sobieski.wrappers.SobieskiMission` and :class:`~gemseo.problems.sobieski.wrappers.SobieskiStructure`. .. GENERATED FROM PYTHON SOURCE LINES 46-55 .. code-block:: default propu, aero, mission, struct = create_discipline( [ "SobieskiPropulsion", "SobieskiAerodynamics", "SobieskiMission", "SobieskiStructure", ] ) .. GENERATED FROM PYTHON SOURCE LINES 56-64 Build, execute and post-process the scenario -------------------------------------------- Then, we build the scenario which links the disciplines with the formulation and the optimization algorithm. Here, we use the :class:`.BiLevel` formulation. We tell the scenario to minimize -y_4 instead of minimizing y_4 (range), which is the default option. We need to define the design space. .. GENERATED FROM PYTHON SOURCE LINES 64-66 .. code-block:: default design_space = SobieskiProblem().read_design_space() .. GENERATED FROM PYTHON SOURCE LINES 67-70 Then, we build a sub-scenario for each strongly coupled disciplines, using the following algorithm, maximum number of iterations and algorithm options: .. GENERATED FROM PYTHON SOURCE LINES 70-78 .. code-block:: default algo_options = { "xtol_rel": 1e-7, "xtol_abs": 1e-7, "ftol_rel": 1e-7, "ftol_abs": 1e-7, "ineq_tolerance": 1e-4, } sub_sc_opts = {"max_iter": 30, "algo": "SLSQP", "algo_options": algo_options} .. GENERATED FROM PYTHON SOURCE LINES 79-82 Build a sub-scenario for Propulsion ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ This sub-scenario will minimize SFC. .. GENERATED FROM PYTHON SOURCE LINES 82-92 .. code-block:: default sc_prop = create_scenario( propu, "DisciplinaryOpt", "y_34", design_space=deepcopy(design_space).filter("x_3"), name="PropulsionScenario", ) sc_prop.default_inputs = sub_sc_opts sc_prop.add_constraint("g_3", constraint_type="ineq") .. GENERATED FROM PYTHON SOURCE LINES 93-96 Build a sub-scenario for Aerodynamics ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ This sub-scenario will minimize L/D. .. GENERATED FROM PYTHON SOURCE LINES 96-107 .. code-block:: default sc_aero = create_scenario( aero, "DisciplinaryOpt", "y_24", deepcopy(design_space).filter("x_2"), name="AerodynamicsScenario", maximize_objective=True, ) sc_aero.default_inputs = sub_sc_opts sc_aero.add_constraint("g_2", constraint_type="ineq") .. GENERATED FROM PYTHON SOURCE LINES 108-112 Build a sub-scenario for Structure ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ This sub-scenario will maximize log(aircraft total weight / (aircraft total weight - fuel weight)). .. GENERATED FROM PYTHON SOURCE LINES 112-123 .. code-block:: default sc_str = create_scenario( struct, "DisciplinaryOpt", "y_11", deepcopy(design_space).filter("x_1"), name="StructureScenario", maximize_objective=True, ) sc_str.add_constraint("g_1", constraint_type="ineq") sc_str.default_inputs = sub_sc_opts .. GENERATED FROM PYTHON SOURCE LINES 124-128 Build a scenario for Mission ^^^^^^^^^^^^^^^^^^^^^^^^^^^^ This scenario is based on the three previous sub-scenarios and on the Mission and aims to maximize the range (Breguet). .. GENERATED FROM PYTHON SOURCE LINES 128-149 .. code-block:: default sub_disciplines = [sc_prop, sc_aero, sc_str] + [mission] design_space = deepcopy(design_space).filter("x_shared") system_scenario = create_scenario( sub_disciplines, "BiLevel", "y_4", design_space, apply_cstr_tosub_scenarios=False, parallel_scenarios=False, multithread_scenarios=True, tolerance=1e-14, max_mda_iter=30, maximize_objective=True, ) system_scenario.add_constraint(["g_1", "g_2", "g_3"], "ineq") # system_scenario.xdsmize(open_browser=True) system_scenario.execute( {"max_iter": 50, "algo": "NLOPT_COBYLA", "algo_options": algo_options} ) .. rst-class:: sphx-glr-script-out Out: .. code-block:: none {'max_iter': 50, 'algo': 'NLOPT_COBYLA', 'algo_options': {'xtol_rel': 1e-07, 'xtol_abs': 1e-07, 'ftol_rel': 1e-07, 'ftol_abs': 1e-07, 'ineq_tolerance': 0.0001}} .. GENERATED FROM PYTHON SOURCE LINES 150-153 Plot the history of the MDA residuals ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ For the first MDA: .. GENERATED FROM PYTHON SOURCE LINES 153-157 .. code-block:: default system_scenario.formulation.mda1.plot_residual_history(show=True, save=False) # For the second MDA: system_scenario.formulation.mda2.plot_residual_history(show=True, save=False) .. rst-class:: sphx-glr-horizontal * .. image:: /examples/formulations/images/sphx_glr_plot_sobieski_bilevel_example_001.png :alt: MDAJacobi: residual plot :class: sphx-glr-multi-img * .. image:: /examples/formulations/images/sphx_glr_plot_sobieski_bilevel_example_002.png :alt: MDAJacobi: residual plot :class: sphx-glr-multi-img .. GENERATED FROM PYTHON SOURCE LINES 158-160 Plot the optimization history view ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ .. GENERATED FROM PYTHON SOURCE LINES 160-163 .. code-block:: default system_scenario.post_process("OptHistoryView", show=True, save=False) for disc in [propu, aero, mission, struct]: print("{}: {} calls.".format(disc.name, disc.n_calls)) .. rst-class:: sphx-glr-horizontal * .. image:: /examples/formulations/images/sphx_glr_plot_sobieski_bilevel_example_003.png :alt: Evolution of the optimization variables :class: sphx-glr-multi-img * .. image:: /examples/formulations/images/sphx_glr_plot_sobieski_bilevel_example_004.png :alt: Evolution of the objective value :class: sphx-glr-multi-img * .. image:: /examples/formulations/images/sphx_glr_plot_sobieski_bilevel_example_005.png :alt: Distance to the optimum :class: sphx-glr-multi-img * .. image:: /examples/formulations/images/sphx_glr_plot_sobieski_bilevel_example_006.png :alt: Evolution of the inequality constraints :class: sphx-glr-multi-img .. rst-class:: sphx-glr-script-out Out: .. code-block:: none /home/docs/checkouts/readthedocs.org/user_builds/gemseo/conda/3.0.3/lib/python3.8/site-packages/gemseo/post/opt_history_view.py:312: UserWarning: FixedFormatter should only be used together with FixedLocator ax1.set_yticklabels(y_labels) /home/docs/checkouts/readthedocs.org/user_builds/gemseo/conda/3.0.3/lib/python3.8/site-packages/gemseo/post/opt_history_view.py:626: MatplotlibDeprecationWarning: default base will change from np.e to 10 in 3.4. To suppress this warning specify the base keyword argument. norm=SymLogNorm(linthresh=1.0, vmin=-vmax, vmax=vmax), /home/docs/checkouts/readthedocs.org/user_builds/gemseo/conda/3.0.3/lib/python3.8/site-packages/gemseo/post/opt_history_view.py:619: MatplotlibDeprecationWarning: Passing parameters norm and vmin/vmax simultaneously is deprecated since 3.3 and will become an error two minor releases later. Please pass vmin/vmax directly to the norm when creating it. im1 = ax1.imshow( SobieskiPropulsion: 1274 calls. SobieskiAerodynamics: 1514 calls. SobieskiMission: 50 calls. SobieskiStructure: 1577 calls. .. rst-class:: sphx-glr-timing **Total running time of the script:** ( 0 minutes 12.313 seconds) .. _sphx_glr_download_examples_formulations_plot_sobieski_bilevel_example.py: .. only :: html .. container:: sphx-glr-footer :class: sphx-glr-footer-example .. container:: sphx-glr-download sphx-glr-download-python :download:`Download Python source code: plot_sobieski_bilevel_example.py ` .. container:: sphx-glr-download sphx-glr-download-jupyter :download:`Download Jupyter notebook: plot_sobieski_bilevel_example.ipynb ` .. only:: html .. rst-class:: sphx-glr-signature `Gallery generated by Sphinx-Gallery `_