[{"keyword":["Modelica language","initialization","homotopy","convergence problems"],"quality_controlled":"1","title":"Robust solution of inverse static problems in Modelica: the case for the initialSimplified() operator","oa":"1","file_date_updated":"2026-10-31T13:55:33Z","publisher":"Linköping University Electronic Press","has_accepted_license":"1","year":"2026","department":[{"_id":"103"}],"_id":"7257","intvolume":"       223","main_file_link":[{"open_access":"1","url":"https://ecp.ep.liu.se/index.php/modelica/article/view/1653"}],"language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"Solving inverse static initialization problems, in which the outputs of a process are prescribed, is often more numerically challenging than solving direct initialization problem, where inputs are fixed instead. This paper proposes the introduction of a new initialSimplified() operator in Modelica, which allows to solve inverse problems with the same reliability as direct problems, using an intuitive, straightforward Modelica formulation. The proposed solution can be trivially implemented in Modelica tools and will be 100% portable among them, once the new operator is standardized. The usefulness of the proposed approach is demonstrated on a conceptual thermal power generation plant model."}],"user_id":"221456","date_created":"2026-10-31T14:00:35Z","publication_status":"published","status":"public","publication":"Proceedings of the Asian Modelica & FMI Conference Hangzhou, China, September 20-22, 2026","urn":"urn:nbn:de:hbz:bi10-72570","conference":{"start_date":"2026-09-20","end_date":"2026-09-22","location":"Hangzhou, China","name":"Asian Modelica & FMI Conference"},"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"type":"conference","doi":"10.3384/ecp22331","volume":223,"file":[{"file_id":"7258","file_size":413909,"file_name":"AMFC2026_paper_T1S2P1.pdf","content_type":"application/pdf","relation":"main_file","success":1,"date_updated":"2026-10-31T13:55:33Z","creator":"phannebohm","access_level":"open_access","date_created":"2026-10-31T13:55:33Z"}],"series_title":"Linköping Electronic Conference Proceedings","author":[{"full_name":"Casella, Francesco","first_name":"Francesco","last_name":"Casella"},{"id":"221456","full_name":"Hannebohm, Philip","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0003-8902-9079/work/231825701","last_name":"Hannebohm","orcid":"0009-0003-8902-9079","first_name":"Philip"},{"full_name":"Pascali, Matteo Luigi De","last_name":"Pascali","first_name":"Matteo Luigi De"}],"publication_identifier":{"eisbn":["978-91-8118-699-4"]},"date_updated":"2026-10-31T14:01:59Z"},{"editor":[{"full_name":"Zimmer, Dirk","last_name":"Zimmer","first_name":"Dirk"},{"full_name":"Müller, Ulf Christian","first_name":"Ulf Christian","last_name":"Müller"}],"author":[{"id":"240430","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0009-7517-4842/work/198540284","full_name":"Langenkamp, Linus","first_name":"Linus","last_name":"Langenkamp","orcid":"0009-0009-7517-4842"},{"last_name":"Hannebohm","orcid":"0009-0003-8902-9079","first_name":"Philip","full_name":"Hannebohm, Philip","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0003-8902-9079/work/198540286","id":"221456"},{"id":"33931","full_name":"Bachmann, Bernhard","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/198540287","orcid":"0000-0002-4339-0438","last_name":"Bachmann","first_name":"Bernhard"}],"date_updated":"2026-06-09T07:22:33Z","page":"445 - 457","conference":{"name":"The 16th International Modelica&FMI Conference","location":"Luzern","end_date":"2025-09-10","start_date":"2025-09-08"},"urn":"urn:nbn:de:hbz:bi10-63592","file":[{"date_created":"2025-12-02T13:48:28Z","access_level":"open_access","success":1,"date_updated":"2025-12-02T13:48:28Z","creator":"llangenkamp","file_id":"6360","file_size":11486460,"relation":"main_file","content_type":"application/pdf","file_name":"paper.pdf"}],"volume":218,"doi":"10.3384/ecp218445","type":"conference","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"main_file_link":[{"open_access":"1"}],"citation":{"apa":"Langenkamp, L., Hannebohm, P., &#38; Bachmann, B. 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In: Zimmer D, Müller UC, eds. <i>Proceedings of the 16th International Modelica&#38;FMI Conference</i>. Vol 218. Linköping University Electronic Press; 2025:445-457. doi:<a href=\"https://doi.org/10.3384/ecp218445\">10.3384/ecp218445</a>"},"_id":"6359","intvolume":"       218","department":[{"_id":"103"}],"publication":"Proceedings of the 16th International Modelica&FMI Conference","status":"public","publication_status":"published","date_created":"2025-12-02T13:49:45Z","user_id":"250307","language":[{"iso":"eng"}],"file_date_updated":"2025-12-02T13:48:28Z","oa":"1","title":"Efficient Training of Physics-enhanced Neural ODEs via Direct Collocation and Nonlinear Programming","project":[{"name":"Institute for Data Science Solutions","_id":"f432a2ee-bceb-11ed-a251-a83585c5074d"}],"keyword":["Physics-enhanced Neural ODEs","Dynamic Optimization","Nonlinear Programming","Modelica","NeuralODEs","Universal Differential Equations"],"year":"2025","has_accepted_license":"1","publisher":"Linköping University Electronic Press"},{"conference":{"start_date":"2014-10-10","end_date":"2014-10-10","name":"EOOLT '14: Proceedings of the 6th International Workshop on Equation-Based Object-Oriented Modeling Languages and Tool","location":"Berlin, Germany"},"keyword":["tearing","algebraic loop","simulation performance","tearingSelect","Modelica","OpenModelica"],"title":"Practical realization and adaptation of Cellier's tearing method","place":"New York, New York, USA","year":"2014","type":"conference","doi":"10.1145/2666202.2666204","publisher":"ACM Press","_id":"1503","citation":{"mla":"Täuber, Patrick, et al. “Practical Realization and Adaptation of Cellier’s Tearing Method.” <i>Proceedings of the 6th International Workshop on Equation-Based Object-Oriented Modeling Languages and Tools - EOOLT ’14</i>, ACM Press, 2014, pp. 11–19, doi:<a href=\"https://doi.org/10.1145/2666202.2666204\">10.1145/2666202.2666204</a>.","ieee":"P. Täuber, L. Ochel, W. Braun, and B. Bachmann, “Practical realization and adaptation of Cellier’s tearing method,” in <i>Proceedings of the 6th International Workshop on Equation-Based Object-Oriented Modeling Languages and Tools - EOOLT ’14</i>, Berlin, Germany, 2014, pp. 11–19.","alphadin":"<span style=\"font-variant:small-caps;\">Täuber, Patrick</span> ; <span style=\"font-variant:small-caps;\">Ochel, Lennart</span> ; <span style=\"font-variant:small-caps;\">Braun, Willi</span> ; <span style=\"font-variant:small-caps;\">Bachmann, Bernhard</span>: Practical realization and adaptation of Cellier’s tearing method. In: <i>Proceedings of the 6th International Workshop on Equation-Based Object-Oriented Modeling Languages and Tools - EOOLT ’14</i>. New York, New York, USA : ACM Press, 2014, S. 11–19","short":"P. Täuber, L. Ochel, W. Braun, B. 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New York, New York, USA: ACM Press, 2014. <a href=\"https://doi.org/10.1145/2666202.2666204\">https://doi.org/10.1145/2666202.2666204</a>."},"author":[{"full_name":"Täuber, Patrick","last_name":"Täuber","first_name":"Patrick"},{"full_name":"Ochel, Lennart","first_name":"Lennart","last_name":"Ochel"},{"full_name":"Braun, Willi","first_name":"Willi","last_name":"Braun"},{"orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900655","full_name":"Bachmann, Bernhard","first_name":"Bernhard","orcid":"0000-0002-4339-0438","last_name":"Bachmann","id":"33931"}],"status":"public","publication":"Proceedings of the 6th International Workshop on Equation-Based Object-Oriented Modeling Languages and Tools - EOOLT '14","date_updated":"2026-09-04T09:46:05Z","date_created":"2021-11-09T13:11:38Z","page":"11-19","publication_status":"published","user_id":"216066","publication_identifier":{"isbn":["9781450329538"]},"language":[{"iso":"eng"}]},{"series_title":"Linköping Electronic Conference Proceedings","year":"2014","doi":"10.3384/ecp140961017","type":"conference","volume":96,"publisher":"Linköping University Electronic Press","conference":{"end_date":"2014-03-12","name":" 10th International Modelica Conference ","location":"Lund / Schweden","start_date":"2014-03-10"},"keyword":["Modelica","optimization","automatic differentiation","collocation","OpenModelica","ADOL-C"],"title":"Efficient Implementation of Collocation Methods for Optimization using OpenModelica and ADOL-C","status":"public","date_updated":"2026-06-02T09:08:03Z","publication":"Proceedings of the 10th International Modelica Conference, March 10-12, 2014, Lund, Sweden","date_created":"2021-11-09T14:46:39Z","page":"1017-1025","publication_status":"published","user_id":"33976","publication_identifier":{"isbn":["978-91-7519-380-9"]},"language":[{"iso":"eng"}],"citation":{"alphadin":"<span style=\"font-variant:small-caps;\">Ruge, Vitalij</span> ; <span style=\"font-variant:small-caps;\">Braun, Willi</span> ; <span style=\"font-variant:small-caps;\">Bachmann, Bernhard</span> ; <span style=\"font-variant:small-caps;\">Walther, Andrea</span> ; <span style=\"font-variant:small-caps;\">Kulshreshtha, Kshitij</span>: Efficient Implementation of Collocation Methods for Optimization using OpenModelica and ADOL-C. 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Efficient Implementation of Collocation Methods for Optimization using OpenModelica and ADOL-C. In: <i>Proceedings of the 10th International Modelica Conference, March 10-12, 2014, Lund, Sweden</i>. Vol 96. Linköping Electronic Conference Proceedings. Linköping University Electronic Press; 2014:1017-1025. doi:<a href=\"https://doi.org/10.3384/ecp140961017\">10.3384/ecp140961017</a>","apa":"Ruge, V., Braun, W., Bachmann, B., Walther, A., &#38; Kulshreshtha, K. (2014). Efficient Implementation of Collocation Methods for Optimization using OpenModelica and ADOL-C. In <i>Proceedings of the 10th International Modelica Conference, March 10-12, 2014, Lund, Sweden</i> (Vol. 96, pp. 1017–1025). Lund / Schweden: Linköping University Electronic Press. <a href=\"https://doi.org/10.3384/ecp140961017\">https://doi.org/10.3384/ecp140961017</a>","chicago":"Ruge, Vitalij, Willi Braun, Bernhard Bachmann, Andrea Walther, and Kshitij Kulshreshtha. “Efficient Implementation of Collocation Methods for Optimization Using OpenModelica and ADOL-C.” In <i>Proceedings of the 10th International Modelica Conference, March 10-12, 2014, Lund, Sweden</i>, 96:1017–25. Linköping Electronic Conference Proceedings. Linköping University Electronic Press, 2014. <a href=\"https://doi.org/10.3384/ecp140961017\">https://doi.org/10.3384/ecp140961017</a>."},"_id":"1523","intvolume":"        96","author":[{"last_name":"Ruge","first_name":"Vitalij","full_name":"Ruge, Vitalij"},{"first_name":"Willi","last_name":"Braun","full_name":"Braun, Willi"},{"orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900205","full_name":"Bachmann, Bernhard","first_name":"Bernhard","orcid":"0000-0002-4339-0438","last_name":"Bachmann","id":"33931"},{"first_name":"Andrea","last_name":"Walther","full_name":"Walther, Andrea"},{"full_name":"Kulshreshtha, Kshitij","last_name":"Kulshreshtha","first_name":"Kshitij"}]},{"_id":"1509","intvolume":"        56","citation":{"ama":"Proß S, Bachmann B. An object-oriented Petri net simulation tool for hybrid biological processes. <i>it – Information Technology</i>. 2014;56(2):55-66. doi:<a href=\"https://doi.org/10.1515/itit-2013-1027\">10.1515/itit-2013-1027</a>","bibtex":"@article{Proß_Bachmann_2014, title={An object-oriented Petri net simulation tool for hybrid biological processes}, volume={56}, DOI={<a href=\"https://doi.org/10.1515/itit-2013-1027\">10.1515/itit-2013-1027</a>}, number={2}, journal={it – Information Technology}, publisher={Walter de Gruyter GmbH}, author={Proß, Sabrina and Bachmann, Bernhard}, year={2014}, pages={55–66} }","ieee":"S. Proß and B. 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An object-oriented Petri net simulation tool for hybrid biological processes. <i>It – Information Technology</i>, <i>56</i>(2), 55–66. <a href=\"https://doi.org/10.1515/itit-2013-1027\">https://doi.org/10.1515/itit-2013-1027</a>","chicago":"Proß, Sabrina, and Bernhard Bachmann. “An Object-Oriented Petri Net Simulation Tool for Hybrid Biological Processes.” <i>It – Information Technology</i> 56, no. 2 (2014): 55–66. <a href=\"https://doi.org/10.1515/itit-2013-1027\">https://doi.org/10.1515/itit-2013-1027</a>."},"author":[{"last_name":"Proß","first_name":"Sabrina","full_name":"Proß, Sabrina"},{"full_name":"Bachmann, Bernhard","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900678","last_name":"Bachmann","orcid":"0000-0002-4339-0438","first_name":"Bernhard","id":"33931"}],"date_updated":"2026-03-17T15:28:21Z","publication":"it – Information Technology","status":"public","publication_status":"published","date_created":"2021-11-09T13:15:53Z","page":"55-66","user_id":"35437","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1611-2776"],"eissn":["2196-7032"]},"title":"An object-oriented Petri net simulation tool for hybrid biological processes","keyword":["ACM CSS→Computing methodologies→Modeling and simulation","Petri nets","Modelica","xHPN","PNlib","Hybrid Modeling"],"year":"2014","volume":56,"issue":"2","doi":"10.1515/itit-2013-1027","type":"journal_article","publisher":"Walter de Gruyter GmbH"},{"author":[{"full_name":"Proß, Sabrina","last_name":"Proß","first_name":"Sabrina"},{"id":"33931","orcid":"0000-0002-4339-0438","last_name":"Bachmann","first_name":"Bernhard","full_name":"Bachmann, Bernhard","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900347"}],"citation":{"ama":"Proß S, Bachmann B. Hybrid Modelling and Process Optimization of Biological Systems. <i>IFAC Proceedings Volumes</i>. 2012;45(2):1041-1046. doi:<a href=\"https://doi.org/10.3182/20120215-3-AT-3016.00184\">10.3182/20120215-3-AT-3016.00184</a>","bibtex":"@article{Proß_Bachmann_2012, title={Hybrid Modelling and Process Optimization of Biological Systems}, volume={45}, DOI={<a href=\"https://doi.org/10.3182/20120215-3-AT-3016.00184\">10.3182/20120215-3-AT-3016.00184</a>}, number={2}, journal={IFAC Proceedings Volumes}, publisher={Elsevier BV}, author={Proß, Sabrina and Bachmann, Bernhard}, year={2012}, pages={1041–1046} }","short":"S. Proß, B. Bachmann, IFAC Proceedings Volumes 45 (2012) 1041–1046.","ieee":"S. Proß and B. 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Hybrid Modelling and Process Optimization of Biological Systems. <i>IFAC Proceedings Volumes</i>, <i>45</i>(2), 1041–1046. <a href=\"https://doi.org/10.3182/20120215-3-AT-3016.00184\">https://doi.org/10.3182/20120215-3-AT-3016.00184</a>","chicago":"Proß, Sabrina, and Bernhard Bachmann. “Hybrid Modelling and Process Optimization of Biological Systems.” <i>IFAC Proceedings Volumes</i> 45, no. 2 (2012): 1041–46. <a href=\"https://doi.org/10.3182/20120215-3-AT-3016.00184\">https://doi.org/10.3182/20120215-3-AT-3016.00184</a>."},"_id":"1514","intvolume":"        45","publication_identifier":{"issn":["1474-6670"]},"language":[{"iso":"eng"}],"user_id":"256529","date_created":"2021-11-09T13:59:28Z","page":"1041-1046","publication_status":"published","status":"public","publication":"IFAC Proceedings Volumes","date_updated":"2026-07-31T18:40:41Z","keyword":["hybrid systems","process control","Petri-nets","biological processes","hybrid optimization","open-loop control","Modelica evolution strategy","Hooke-Jeeves method"],"title":"Hybrid Modelling and Process Optimization of Biological Systems","publisher":"Elsevier BV","doi":"10.3182/20120215-3-AT-3016.00184","issue":"2","type":"journal_article","volume":45,"year":"2012"},{"citation":{"chicago":"Bachmann, Bernhard, Lennart Ochel, Vitalij Ruge, Mahder Gebremedhin, Peter Fritzson, Vaheed Nezhadali, Lars Eriksson, and Martin Sivertsson. “Parallel Multiple-Shooting and Collocation Optimization with OpenModelica.” In <i>Book of Abstracts / 9th International Modelica Conference</i>, 76:659–68. Linköping Electronic Conference Proceedings. Linköping University Electronic Press, 2012. <a href=\"https://doi.org/10.3384/ecp12076659\">https://doi.org/10.3384/ecp12076659</a>.","apa":"Bachmann, B., Ochel, L., Ruge, V., Gebremedhin, M., Fritzson, P., Nezhadali, V., … Sivertsson, M. (2012). Parallel Multiple-Shooting and Collocation Optimization with OpenModelica. In <i>Book of abstracts / 9th International Modelica Conference</i> (Vol. 76, pp. 659–668). München: Linköping University Electronic Press. <a href=\"https://doi.org/10.3384/ecp12076659\">https://doi.org/10.3384/ecp12076659</a>","alphadin":"<span style=\"font-variant:small-caps;\">Bachmann, Bernhard</span> ; <span style=\"font-variant:small-caps;\">Ochel, Lennart</span> ; <span style=\"font-variant:small-caps;\">Ruge, Vitalij</span> ; <span style=\"font-variant:small-caps;\">Gebremedhin, Mahder</span> ; <span style=\"font-variant:small-caps;\">Fritzson, Peter</span> ; <span style=\"font-variant:small-caps;\">Nezhadali, Vaheed</span> ; <span style=\"font-variant:small-caps;\">Eriksson, Lars</span> ; <span style=\"font-variant:small-caps;\">Sivertsson, Martin</span>: Parallel Multiple-Shooting and Collocation Optimization with OpenModelica. In: <i>Book of abstracts / 9th International Modelica Conference</i>, <i>Linköping Electronic Conference Proceedings</i>. Bd. 76 : Linköping University Electronic Press, 2012, S. 659–668","ieee":"B. Bachmann <i>et al.</i>, “Parallel Multiple-Shooting and Collocation Optimization with OpenModelica,” in <i>Book of abstracts / 9th International Modelica Conference</i>, München, 2012, vol. 76, pp. 659–668.","mla":"Bachmann, Bernhard, et al. “Parallel Multiple-Shooting and Collocation Optimization with OpenModelica.” <i>Book of Abstracts / 9th International Modelica Conference</i>, vol. 76, Linköping University Electronic Press, 2012, pp. 659–68, doi:<a href=\"https://doi.org/10.3384/ecp12076659\">10.3384/ecp12076659</a>.","short":"B. Bachmann, L. Ochel, V. Ruge, M. Gebremedhin, P. Fritzson, V. Nezhadali, L. Eriksson, M. Sivertsson, in: Book of Abstracts / 9th International Modelica Conference, Linköping University Electronic Press, 2012, pp. 659–668.","bibtex":"@inproceedings{Bachmann_Ochel_Ruge_Gebremedhin_Fritzson_Nezhadali_Eriksson_Sivertsson_2012, series={Linköping Electronic Conference Proceedings}, title={Parallel Multiple-Shooting and Collocation Optimization with OpenModelica}, volume={76}, DOI={<a href=\"https://doi.org/10.3384/ecp12076659\">10.3384/ecp12076659</a>}, booktitle={Book of abstracts / 9th International Modelica Conference}, publisher={Linköping University Electronic Press}, author={Bachmann, Bernhard and Ochel, Lennart and Ruge, Vitalij and Gebremedhin, Mahder and Fritzson, Peter and Nezhadali, Vaheed and Eriksson, Lars and Sivertsson, Martin}, year={2012}, pages={659–668}, collection={Linköping Electronic Conference Proceedings} }","ama":"Bachmann B, Ochel L, Ruge V, et al. Parallel Multiple-Shooting and Collocation Optimization with OpenModelica. In: <i>Book of Abstracts / 9th International Modelica Conference</i>. Vol 76. Linköping Electronic Conference Proceedings. Linköping University Electronic Press; 2012:659-668. doi:<a href=\"https://doi.org/10.3384/ecp12076659\">10.3384/ecp12076659</a>"},"_id":"1495","intvolume":"        76","author":[{"last_name":"Bachmann","orcid":"0000-0002-4339-0438","first_name":"Bernhard","full_name":"Bachmann, Bernhard","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900455","id":"33931"},{"first_name":"Lennart","last_name":"Ochel","full_name":"Ochel, Lennart"},{"last_name":"Ruge","first_name":"Vitalij","full_name":"Ruge, Vitalij"},{"first_name":"Mahder","last_name":"Gebremedhin","full_name":"Gebremedhin, Mahder"},{"last_name":"Fritzson","first_name":"Peter","full_name":"Fritzson, Peter"},{"last_name":"Nezhadali","first_name":"Vaheed","full_name":"Nezhadali, Vaheed"},{"last_name":"Eriksson","first_name":"Lars","full_name":"Eriksson, Lars"},{"last_name":"Sivertsson","first_name":"Martin","full_name":"Sivertsson, Martin"}],"date_updated":"2026-03-17T15:28:21Z","publication":"Book of abstracts / 9th International Modelica Conference","status":"public","publication_status":"published","page":"659-668","date_created":"2021-11-09T13:06:25Z","user_id":"35437","language":[{"iso":"eng"}],"publication_identifier":{"isbn":["978-91-7519-826-2"]},"conference":{"start_date":"2012-09-03","name":"9th International MODELICA Conference, Munich, Germany","location":"München","end_date":"2012-09-05"},"title":"Parallel Multiple-Shooting and Collocation Optimization with OpenModelica","keyword":["Modelica","Optimica","optimization","multiple shooting","collocation","parallel","simulation"],"year":"2012","series_title":"Linköping Electronic Conference Proceedings","volume":76,"type":"conference","doi":"10.3384/ecp12076659","publisher":"Linköping University Electronic Press"}]