{"id":1755,"date":"2022-11-23T10:23:37","date_gmt":"2022-11-23T09:23:37","guid":{"rendered":"https:\/\/enpc.ergeais.com\/?p=1755"},"modified":"2025-07-29T14:54:46","modified_gmt":"2025-07-29T12:54:46","slug":"mathematical-optimization-at-the-service-of-renewable-energies","status":"publish","type":"post","link":"https:\/\/ingenius.ecoledesponts.fr\/en\/articles\/mathematical-optimization-at-the-service-of-renewable-energies\/","title":{"rendered":"Mathematical optimization at the service of renewable energies"},"content":{"rendered":"\n\n\n<figure class=\"wp-block-image alignwide size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"681\" src=\"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-1024x681.jpg\" alt=\"\" class=\"wp-image-1557\" srcset=\"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-1024x681.jpg 1024w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-300x200.jpg 300w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-768x511.jpg 768w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-1920x1278.jpg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Barrage de Puylaurent  (Loz\u00e8re)<a href=\"https:\/\/terra.developpement-durable.gouv.fr\/LaMediatheque-Photo\/searchkwf.do?f=soustitre&amp;q=Patrimoine+naturel+en+Loz%c3%a8re\"> <\/a>\u00a9Arnaud Bouissou \/ Terra,2015.<\/figcaption><\/figure>\n\n\n\n<p>Some of the solutions to achieving the energy transition are being invented on the researchers&#8217; computers, on the boards or in the servers of Center for Training and Research in MathematIcs and Scientific Computing\u201d (<a href=\"https:\/\/cermics-lab.enpc.fr\/\" target=\"_blank\" rel=\"noreferrer noopener\">CERMICS<\/a>). Optimized smart grids, management of hydroelectric dams, storage of renewable energy&#8230; on these and many other subjects, applied mathematics provides valuable support to the energy transition.<\/p>\n\n\n\n<p>This is one of the fields of research of Michel De Lara, specialist in stochastic optimization (decision under uncertainty) within the &#8220;Optimization&#8221; team at CERMICS. For the past twenty years, he has been working on subjects related to the efficiency of energy systems.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-red-color has-text-color\"><strong>The case of hydroelectric dams<\/strong><\/h2>\n\n\n\n<p>The emblematic example of optimal management under uncertainty is the management of a network of hydroelectric dams, affected by rainfall, which is unpredictable by nature. &#8220;This type of problem is a rich source of material for the researchers and doctoral students of thelaboratory,&#8221; says the researcher Indeed, while the balance of water conservation or the interaction of serial structures in valleys are well known by electricians, the day-to-day rainfall level is always, by nature, a random event. When a dam manager has to make a decision about turbine power, they know the past rainfall but not the rainfall of the next day or two, which will have an influence on the filling of the structure, its capacity to deliver electricity at a low rate of CO<sub>2<\/sub> and its economic performance in a world of increasingly volatile prices. \u201cThanks to the tools of mathematical disciplines such as optimization and the theory of random processes, it is possible to mathematically transcribe this management problem. However, stochastic variability complicates decision making. Indeed, the turbine power decisions depend not only on the day and the dam, but also on the past rainfall (risk), which gives a large optimization problem since the solution must be sought, <em>a priori<\/em>, in a very large space (mathematical). To help solve such a problem, we put forward decomposition-coordination methods,&#8221; explains Michel De Lara.<\/p>\n\n\n\n<p>These methods, one of the areas of expertise of the team, allow (under certain conditions) to reduce complex problems with a very large number of variables (and thus an absence of an accessible optimal solution), into a family of simpler problems, which must be coordinated with each other in order to arrive at a solution to the initial problem. There is enough material to generate many research questions and to feed the regular flow of scientific publications from the laboratory in the best journals.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-red-color has-text-color\"><strong>Meeting the technological challenges posed by the energy transition&nbsp;<\/strong><\/h2>\n\n\n\n<p>While EDF is one of the few energy companies in the world to have a strong tradition of research based on applied mathematics, CERMICS&#8217; industrial cooperation goes further. \u201cOur methods have a wide range of possible applications, particularly in the energy field\u201d explains Michel De Lara. &#8220;This is what led us to work on microgrids: small-scale electrical networks, such as those in a neighborhood.\u201dIndeed, in the future, infrastructure managers &#8211; decentralized and integrating a high proportion of self-generation using electricity from photovoltaic or wind sources &#8211; will be confronted with the intermittent and therefore random character of the electricity supply. In addition, there is a high variability in demand due to the small size of the network. \u201cIn this type of configuration with little predictable data, one of the problems on which stochastic optimization can be useful is to identify the optimal size of the storage batteries, to control the cost of the whole system\u201d.&nbsp;<\/p>\n\n\n\n<p>The laboratory&#8217;s cooperation does not stop at research institutions or major industrial operators. For several years, Michel De Lara and his colleagues have been solicited by intermediate and even small-sized companies (Efficacity, EDF, Schneider Electric, RTE, Sun\u2019R, Pers-ee) with offers of theses work. These companies want to provide solutions to the problems posed by decentralized production or energy storage. \u201cThey see our knowledge of applied mathematics as a tool to provide answers to the technological challenges posed by the energy transition,&#8221; reports Michel De Lara. \u201cIt shows that \u00c9cole nationale des ponts et chauss\u00e9es is playing its teaching role well, but also its role in producing and disseminating knowledge. Our ecosystem, combining well-trained students and a long tradition of industrial cooperation, is particularly favorable in this sense,&#8221; he concludes.<\/p>\n\n\n\n<p><strong>Editor \u2022 Pierre-Olivier Rouaud<\/strong><\/p>\n\n\n\n<p class=\"has-medium-grey-color has-text-color\"><strong>Text adapted from an article published in<a rel=\"noreferrer noopener\" href=\"https:\/\/ecoledesponts.fr\/sites\/ecoledesponts.fr\/files\/documents\/cdp_numero3_version_numerique.pdf\" target=\"_blank\">&nbsp;Le Cahier des Ponts n\u00b03<\/a>, La transition \u00e9nerg\u00e9tique, May 2020.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Some of the solutions to achieving the energy transition are being invented on the researchers&#8217; computers, on the boards or [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":1557,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_related_content_post":[],"_related_content_subject":[690,937],"_related_content_author":[1757],"_related_content_category":[1716],"_related_content_folder":[4232],"_excerpt":"<strong>As demonstrated in the work of Michel De Lara and his colleagues at the Research Center in Mathematics and Scientific Computing (CERMICS), mathematical optimization is a valuable tool for the energy transition, particularly for taking advantage of renewable energies.<\/strong>","_duration":3,"_manual_duration":false,"footnotes":""},"article-types":[13],"class_list":["post-1755","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","article-types-article"],"has_blocks":true,"block_data":[{"blockName":"enpc\/excerpt","attrs":{"lock":[],"metadata":[],"className":"","style":""},"innerBlocks":[],"innerHTML":"","innerContent":[],"rendered":""},{"blockName":"core\/image","attrs":{"id":1557,"sizeSlug":"large","linkDestination":"none","align":"wide","blob":"","url":"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-1024x681.jpg","alt":"","caption":"Barrage de Puylaurent (Loz\u00e8re) \u00a9Arnaud Bouissou \/ Terra,2015.","lightbox":[],"title":"","href":"","rel":"","linkClass":"","width":"","height":"","aspectRatio":"","scale":"","linkTarget":"","lock":[],"metadata":[],"className":"wp-block-image alignwide size-large","style":"","borderColor":"","anchor":""},"innerBlocks":[],"innerHTML":"\n<figure class=\"wp-block-image alignwide size-large\"><img src=\"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-1024x681.jpg\" alt=\"\" class=\"wp-image-1557\"\/><figcaption class=\"wp-element-caption\">Barrage de Puylaurent  (Loz\u00e8re)<a href=\"https:\/\/terra.developpement-durable.gouv.fr\/LaMediatheque-Photo\/searchkwf.do?f=soustitre&amp;q=Patrimoine+naturel+en+Loz%c3%a8re\"> <\/a>\u00a9Arnaud Bouissou \/ Terra,2015.<\/figcaption><\/figure>\n","innerContent":["\n<figure class=\"wp-block-image alignwide size-large\"><img src=\"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-1024x681.jpg\" alt=\"\" class=\"wp-image-1557\"\/><figcaption class=\"wp-element-caption\">Barrage de Puylaurent  (Loz\u00e8re)<a href=\"https:\/\/terra.developpement-durable.gouv.fr\/LaMediatheque-Photo\/searchkwf.do?f=soustitre&amp;q=Patrimoine+naturel+en+Loz%c3%a8re\"> <\/a>\u00a9Arnaud Bouissou \/ Terra,2015.<\/figcaption><\/figure>\n"],"rendered":"\n<figure class=\"wp-block-image alignwide size-large\"><img src=\"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-1024x681.jpg\" alt=\"\" class=\"wp-image-1557\"\/><figcaption class=\"wp-element-caption\">Barrage de Puylaurent  (Loz\u00e8re)<a href=\"https:\/\/terra.developpement-durable.gouv.fr\/LaMediatheque-Photo\/searchkwf.do?f=soustitre&amp;q=Patrimoine+naturel+en+Loz%c3%a8re\"> <\/a>\u00a9Arnaud Bouissou \/ Terra,2015.<\/figcaption><\/figure>\n"},{"blockName":"core\/paragraph","attrs":{"align":"","content":"Some of the solutions to achieving the energy transition are being invented on the researchers' computers, on the boards or in the servers of Center for Training and Research in MathematIcs and Scientific Computing\u201d (CERMICS). Optimized smart grids, management of hydroelectric dams, storage of renewable energy... on these and many other subjects, applied mathematics provides valuable support to the energy transition.","dropCap":false,"placeholder":"","direction":"","lock":[],"metadata":[],"className":"","style":"","backgroundColor":"","textColor":"","gradient":"","fontSize":"","fontFamily":"","borderColor":"","anchor":""},"innerBlocks":[],"innerHTML":"\n<p>Some of the solutions to achieving the energy transition are being invented on the researchers' computers, on the boards or in the servers of Center for Training and Research in MathematIcs and Scientific Computing\u201d (<a href=\"https:\/\/cermics-lab.enpc.fr\/\" target=\"_blank\" rel=\"noreferrer noopener\">CERMICS<\/a>). Optimized smart grids, management of hydroelectric dams, storage of renewable energy... on these and many other subjects, applied mathematics provides valuable support to the energy transition.<\/p>\n","innerContent":["\n<p>Some of the solutions to achieving the energy transition are being invented on the researchers' computers, on the boards or in the servers of Center for Training and Research in MathematIcs and Scientific Computing\u201d (<a href=\"https:\/\/cermics-lab.enpc.fr\/\" target=\"_blank\" rel=\"noreferrer noopener\">CERMICS<\/a>). Optimized smart grids, management of hydroelectric dams, storage of renewable energy... on these and many other subjects, applied mathematics provides valuable support to the energy transition.<\/p>\n"],"rendered":"\n<p>Some of the solutions to achieving the energy transition are being invented on the researchers' computers, on the boards or in the servers of Center for Training and Research in MathematIcs and Scientific Computing\u201d (<a href=\"https:\/\/cermics-lab.enpc.fr\/\" target=\"_blank\" rel=\"noreferrer noopener\">CERMICS<\/a>). Optimized smart grids, management of hydroelectric dams, storage of renewable energy... on these and many other subjects, applied mathematics provides valuable support to the energy transition.<\/p>\n"},{"blockName":"core\/paragraph","attrs":{"align":"","content":"This is one of the fields of research of Michel De Lara, specialist in stochastic optimization (decision under uncertainty) within the \"Optimization\" team at CERMICS. For the past twenty years, he has been working on subjects related to the efficiency of energy systems.","dropCap":false,"placeholder":"","direction":"","lock":[],"metadata":[],"className":"","style":"","backgroundColor":"","textColor":"","gradient":"","fontSize":"","fontFamily":"","borderColor":"","anchor":""},"innerBlocks":[],"innerHTML":"\n<p>This is one of the fields of research of Michel De Lara, specialist in stochastic optimization (decision under uncertainty) within the \"Optimization\" team at CERMICS. For the past twenty years, he has been working on subjects related to the efficiency of energy systems.<\/p>\n","innerContent":["\n<p>This is one of the fields of research of Michel De Lara, specialist in stochastic optimization (decision under uncertainty) within the \"Optimization\" team at CERMICS. For the past twenty years, he has been working on subjects related to the efficiency of energy systems.<\/p>\n"],"rendered":"\n<p>This is one of the fields of research of Michel De Lara, specialist in stochastic optimization (decision under uncertainty) within the \"Optimization\" team at CERMICS. For the past twenty years, he has been working on subjects related to the efficiency of energy systems.<\/p>\n"},{"blockName":"core\/heading","attrs":{"textColor":"red","textAlign":"","content":"The case of hydroelectric dams","level":2,"levelOptions":[],"placeholder":"","lock":[],"metadata":[],"align":"","className":"wp-block-heading has-red-color has-text-color","style":"","backgroundColor":"","gradient":"","fontSize":"","fontFamily":"","borderColor":"","anchor":""},"innerBlocks":[],"innerHTML":"\n<h2 class=\"wp-block-heading has-red-color has-text-color\"><strong>The case of hydroelectric dams<\/strong><\/h2>\n","innerContent":["\n<h2 class=\"wp-block-heading has-red-color has-text-color\"><strong>The case of hydroelectric dams<\/strong><\/h2>\n"],"rendered":"\n<h2 class=\"wp-block-heading has-red-color has-text-color\"><strong>The case of hydroelectric dams<\/strong><\/h2>\n"},{"blockName":"core\/paragraph","attrs":{"align":"","content":"The emblematic example of optimal management under uncertainty is the management of a network of hydroelectric dams, affected by rainfall, which is unpredictable by nature. \"This type of problem is a rich source of material for the researchers and doctoral students of thelaboratory,\" says the researcher Indeed, while the balance of water conservation or the interaction of serial structures in valleys are well known by electricians, the day-to-day rainfall level is always, by nature, a random event. When a dam manager has to make a decision about turbine power, they know the past rainfall but not the rainfall of the next day or two, which will have an influence on the filling of the structure, its capacity to deliver electricity at a low rate of CO2 and its economic performance in a world of increasingly volatile prices. \u201cThanks to the tools of mathematical disciplines such as optimization and the theory of random processes, it is possible to mathematically transcribe this management problem. However, stochastic variability complicates decision making. Indeed, the turbine power decisions depend not only on the day and the dam, but also on the past rainfall (risk), which gives a large optimization problem since the solution must be sought, a priori, in a very large space (mathematical). To help solve such a problem, we put forward decomposition-coordination methods,\" explains Michel De Lara.","dropCap":false,"placeholder":"","direction":"","lock":[],"metadata":[],"className":"","style":"","backgroundColor":"","textColor":"","gradient":"","fontSize":"","fontFamily":"","borderColor":"","anchor":""},"innerBlocks":[],"innerHTML":"\n<p>The emblematic example of optimal management under uncertainty is the management of a network of hydroelectric dams, affected by rainfall, which is unpredictable by nature. \"This type of problem is a rich source of material for the researchers and doctoral students of thelaboratory,\" says the researcher Indeed, while the balance of water conservation or the interaction of serial structures in valleys are well known by electricians, the day-to-day rainfall level is always, by nature, a random event. When a dam manager has to make a decision about turbine power, they know the past rainfall but not the rainfall of the next day or two, which will have an influence on the filling of the structure, its capacity to deliver electricity at a low rate of CO<sub>2<\/sub> and its economic performance in a world of increasingly volatile prices. \u201cThanks to the tools of mathematical disciplines such as optimization and the theory of random processes, it is possible to mathematically transcribe this management problem. However, stochastic variability complicates decision making. Indeed, the turbine power decisions depend not only on the day and the dam, but also on the past rainfall (risk), which gives a large optimization problem since the solution must be sought, <em>a priori<\/em>, in a very large space (mathematical). To help solve such a problem, we put forward decomposition-coordination methods,\" explains Michel De Lara.<\/p>\n","innerContent":["\n<p>The emblematic example of optimal management under uncertainty is the management of a network of hydroelectric dams, affected by rainfall, which is unpredictable by nature. \"This type of problem is a rich source of material for the researchers and doctoral students of thelaboratory,\" says the researcher Indeed, while the balance of water conservation or the interaction of serial structures in valleys are well known by electricians, the day-to-day rainfall level is always, by nature, a random event. When a dam manager has to make a decision about turbine power, they know the past rainfall but not the rainfall of the next day or two, which will have an influence on the filling of the structure, its capacity to deliver electricity at a low rate of CO<sub>2<\/sub> and its economic performance in a world of increasingly volatile prices. \u201cThanks to the tools of mathematical disciplines such as optimization and the theory of random processes, it is possible to mathematically transcribe this management problem. However, stochastic variability complicates decision making. Indeed, the turbine power decisions depend not only on the day and the dam, but also on the past rainfall (risk), which gives a large optimization problem since the solution must be sought, <em>a priori<\/em>, in a very large space (mathematical). To help solve such a problem, we put forward decomposition-coordination methods,\" explains Michel De Lara.<\/p>\n"],"rendered":"\n<p>The emblematic example of optimal management under uncertainty is the management of a network of hydroelectric dams, affected by rainfall, which is unpredictable by nature. \"This type of problem is a rich source of material for the researchers and doctoral students of thelaboratory,\" says the researcher Indeed, while the balance of water conservation or the interaction of serial structures in valleys are well known by electricians, the day-to-day rainfall level is always, by nature, a random event. When a dam manager has to make a decision about turbine power, they know the past rainfall but not the rainfall of the next day or two, which will have an influence on the filling of the structure, its capacity to deliver electricity at a low rate of CO<sub>2<\/sub> and its economic performance in a world of increasingly volatile prices. \u201cThanks to the tools of mathematical disciplines such as optimization and the theory of random processes, it is possible to mathematically transcribe this management problem. However, stochastic variability complicates decision making. Indeed, the turbine power decisions depend not only on the day and the dam, but also on the past rainfall (risk), which gives a large optimization problem since the solution must be sought, <em>a priori<\/em>, in a very large space (mathematical). To help solve such a problem, we put forward decomposition-coordination methods,\" explains Michel De Lara.<\/p>\n"},{"blockName":"core\/paragraph","attrs":{"align":"","content":"These methods, one of the areas of expertise of the team, allow (under certain conditions) to reduce complex problems with a very large number of variables (and thus an absence of an accessible optimal solution), into a family of simpler problems, which must be coordinated with each other in order to arrive at a solution to the initial problem. There is enough material to generate many research questions and to feed the regular flow of scientific publications from the laboratory in the best journals.","dropCap":false,"placeholder":"","direction":"","lock":[],"metadata":[],"className":"","style":"","backgroundColor":"","textColor":"","gradient":"","fontSize":"","fontFamily":"","borderColor":"","anchor":""},"innerBlocks":[],"innerHTML":"\n<p>These methods, one of the areas of expertise of the team, allow (under certain conditions) to reduce complex problems with a very large number of variables (and thus an absence of an accessible optimal solution), into a family of simpler problems, which must be coordinated with each other in order to arrive at a solution to the initial problem. There is enough material to generate many research questions and to feed the regular flow of scientific publications from the laboratory in the best journals.<\/p>\n","innerContent":["\n<p>These methods, one of the areas of expertise of the team, allow (under certain conditions) to reduce complex problems with a very large number of variables (and thus an absence of an accessible optimal solution), into a family of simpler problems, which must be coordinated with each other in order to arrive at a solution to the initial problem. There is enough material to generate many research questions and to feed the regular flow of scientific publications from the laboratory in the best journals.<\/p>\n"],"rendered":"\n<p>These methods, one of the areas of expertise of the team, allow (under certain conditions) to reduce complex problems with a very large number of variables (and thus an absence of an accessible optimal solution), into a family of simpler problems, which must be coordinated with each other in order to arrive at a solution to the initial problem. There is enough material to generate many research questions and to feed the regular flow of scientific publications from the laboratory in the best journals.<\/p>\n"},{"blockName":"core\/heading","attrs":{"textColor":"red","textAlign":"","content":"Meeting the technological challenges posed by the energy transition\u00a0","level":2,"levelOptions":[],"placeholder":"","lock":[],"metadata":[],"align":"","className":"wp-block-heading has-red-color has-text-color","style":"","backgroundColor":"","gradient":"","fontSize":"","fontFamily":"","borderColor":"","anchor":""},"innerBlocks":[],"innerHTML":"\n<h2 class=\"wp-block-heading has-red-color has-text-color\"><strong>Meeting the technological challenges posed by the energy transition&nbsp;<\/strong><\/h2>\n","innerContent":["\n<h2 class=\"wp-block-heading has-red-color has-text-color\"><strong>Meeting the technological challenges posed by the energy transition&nbsp;<\/strong><\/h2>\n"],"rendered":"\n<h2 class=\"wp-block-heading has-red-color has-text-color\"><strong>Meeting the technological challenges posed by the energy transition&nbsp;<\/strong><\/h2>\n"},{"blockName":"core\/paragraph","attrs":{"align":"","content":"While EDF is one of the few energy companies in the world to have a strong tradition of research based on applied mathematics, CERMICS' industrial cooperation goes further. \u201cOur methods have a wide range of possible applications, particularly in the energy field\u201d explains Michel De Lara. \"This is what led us to work on microgrids: small-scale electrical networks, such as those in a neighborhood.\u201dIndeed, in the future, infrastructure managers - decentralized and integrating a high proportion of self-generation using electricity from photovoltaic or wind sources - will be confronted with the intermittent and therefore random character of the electricity supply. In addition, there is a high variability in demand due to the small size of the network. \u201cIn this type of configuration with little predictable data, one of the problems on which stochastic optimization can be useful is to identify the optimal size of the storage batteries, to control the cost of the whole system\u201d.\u00a0","dropCap":false,"placeholder":"","direction":"","lock":[],"metadata":[],"className":"","style":"","backgroundColor":"","textColor":"","gradient":"","fontSize":"","fontFamily":"","borderColor":"","anchor":""},"innerBlocks":[],"innerHTML":"\n<p>While EDF is one of the few energy companies in the world to have a strong tradition of research based on applied mathematics, CERMICS' industrial cooperation goes further. \u201cOur methods have a wide range of possible applications, particularly in the energy field\u201d explains Michel De Lara. \"This is what led us to work on microgrids: small-scale electrical networks, such as those in a neighborhood.\u201dIndeed, in the future, infrastructure managers - decentralized and integrating a high proportion of self-generation using electricity from photovoltaic or wind sources - will be confronted with the intermittent and therefore random character of the electricity supply. In addition, there is a high variability in demand due to the small size of the network. \u201cIn this type of configuration with little predictable data, one of the problems on which stochastic optimization can be useful is to identify the optimal size of the storage batteries, to control the cost of the whole system\u201d.&nbsp;<\/p>\n","innerContent":["\n<p>While EDF is one of the few energy companies in the world to have a strong tradition of research based on applied mathematics, CERMICS' industrial cooperation goes further. \u201cOur methods have a wide range of possible applications, particularly in the energy field\u201d explains Michel De Lara. \"This is what led us to work on microgrids: small-scale electrical networks, such as those in a neighborhood.\u201dIndeed, in the future, infrastructure managers - decentralized and integrating a high proportion of self-generation using electricity from photovoltaic or wind sources - will be confronted with the intermittent and therefore random character of the electricity supply. In addition, there is a high variability in demand due to the small size of the network. \u201cIn this type of configuration with little predictable data, one of the problems on which stochastic optimization can be useful is to identify the optimal size of the storage batteries, to control the cost of the whole system\u201d.&nbsp;<\/p>\n"],"rendered":"\n<p>While EDF is one of the few energy companies in the world to have a strong tradition of research based on applied mathematics, CERMICS' industrial cooperation goes further. \u201cOur methods have a wide range of possible applications, particularly in the energy field\u201d explains Michel De Lara. \"This is what led us to work on microgrids: small-scale electrical networks, such as those in a neighborhood.\u201dIndeed, in the future, infrastructure managers - decentralized and integrating a high proportion of self-generation using electricity from photovoltaic or wind sources - will be confronted with the intermittent and therefore random character of the electricity supply. In addition, there is a high variability in demand due to the small size of the network. \u201cIn this type of configuration with little predictable data, one of the problems on which stochastic optimization can be useful is to identify the optimal size of the storage batteries, to control the cost of the whole system\u201d.&nbsp;<\/p>\n"},{"blockName":"core\/paragraph","attrs":{"align":"","content":"The laboratory's cooperation does not stop at research institutions or major industrial operators. For several years, Michel De Lara and his colleagues have been solicited by intermediate and even small-sized companies (Efficacity, EDF, Schneider Electric, RTE, Sun\u2019R, Pers-ee) with offers of theses work. These companies want to provide solutions to the problems posed by decentralized production or energy storage. \u201cThey see our knowledge of applied mathematics as a tool to provide answers to the technological challenges posed by the energy transition,\" reports Michel De Lara. \u201cIt shows that \u00c9cole nationale des ponts et chauss\u00e9es is playing its teaching role well, but also its role in producing and disseminating knowledge. Our ecosystem, combining well-trained students and a long tradition of industrial cooperation, is particularly favorable in this sense,\" he concludes.","dropCap":false,"placeholder":"","direction":"","lock":[],"metadata":[],"className":"","style":"","backgroundColor":"","textColor":"","gradient":"","fontSize":"","fontFamily":"","borderColor":"","anchor":""},"innerBlocks":[],"innerHTML":"\n<p>The laboratory's cooperation does not stop at research institutions or major industrial operators. For several years, Michel De Lara and his colleagues have been solicited by intermediate and even small-sized companies (Efficacity, EDF, Schneider Electric, RTE, Sun\u2019R, Pers-ee) with offers of theses work. These companies want to provide solutions to the problems posed by decentralized production or energy storage. \u201cThey see our knowledge of applied mathematics as a tool to provide answers to the technological challenges posed by the energy transition,\" reports Michel De Lara. \u201cIt shows that \u00c9cole nationale des ponts et chauss\u00e9es is playing its teaching role well, but also its role in producing and disseminating knowledge. Our ecosystem, combining well-trained students and a long tradition of industrial cooperation, is particularly favorable in this sense,\" he concludes.<\/p>\n","innerContent":["\n<p>The laboratory's cooperation does not stop at research institutions or major industrial operators. For several years, Michel De Lara and his colleagues have been solicited by intermediate and even small-sized companies (Efficacity, EDF, Schneider Electric, RTE, Sun\u2019R, Pers-ee) with offers of theses work. These companies want to provide solutions to the problems posed by decentralized production or energy storage. \u201cThey see our knowledge of applied mathematics as a tool to provide answers to the technological challenges posed by the energy transition,\" reports Michel De Lara. \u201cIt shows that \u00c9cole nationale des ponts et chauss\u00e9es is playing its teaching role well, but also its role in producing and disseminating knowledge. Our ecosystem, combining well-trained students and a long tradition of industrial cooperation, is particularly favorable in this sense,\" he concludes.<\/p>\n"],"rendered":"\n<p>The laboratory's cooperation does not stop at research institutions or major industrial operators. For several years, Michel De Lara and his colleagues have been solicited by intermediate and even small-sized companies (Efficacity, EDF, Schneider Electric, RTE, Sun\u2019R, Pers-ee) with offers of theses work. These companies want to provide solutions to the problems posed by decentralized production or energy storage. \u201cThey see our knowledge of applied mathematics as a tool to provide answers to the technological challenges posed by the energy transition,\" reports Michel De Lara. \u201cIt shows that \u00c9cole nationale des ponts et chauss\u00e9es is playing its teaching role well, but also its role in producing and disseminating knowledge. Our ecosystem, combining well-trained students and a long tradition of industrial cooperation, is particularly favorable in this sense,\" he concludes.<\/p>\n"},{"blockName":"core\/paragraph","attrs":{"align":"","content":"Editor \u2022 Pierre-Olivier Rouaud","dropCap":false,"placeholder":"","direction":"","lock":[],"metadata":[],"className":"","style":"","backgroundColor":"","textColor":"","gradient":"","fontSize":"","fontFamily":"","borderColor":"","anchor":""},"innerBlocks":[],"innerHTML":"\n<p><strong>Editor \u2022 Pierre-Olivier Rouaud<\/strong><\/p>\n","innerContent":["\n<p><strong>Editor \u2022 Pierre-Olivier Rouaud<\/strong><\/p>\n"],"rendered":"\n<p><strong>Editor \u2022 Pierre-Olivier Rouaud<\/strong><\/p>\n"},{"blockName":"core\/paragraph","attrs":{"textColor":"medium-grey","align":"","content":"Text adapted from an article published in\u00a0Le Cahier des Ponts n\u00b03, La transition \u00e9nerg\u00e9tique, May 2020.","dropCap":false,"placeholder":"","direction":"","lock":[],"metadata":[],"className":"has-medium-grey-color has-text-color","style":"","backgroundColor":"","gradient":"","fontSize":"","fontFamily":"","borderColor":"","anchor":""},"innerBlocks":[],"innerHTML":"\n<p class=\"has-medium-grey-color has-text-color\"><strong>Text adapted from an article published in<a rel=\"noreferrer noopener\" href=\"https:\/\/ecoledesponts.fr\/sites\/ecoledesponts.fr\/files\/documents\/cdp_numero3_version_numerique.pdf\" target=\"_blank\">&nbsp;Le Cahier des Ponts n\u00b03<\/a>, La transition \u00e9nerg\u00e9tique, May 2020.<\/strong><\/p>\n","innerContent":["\n<p class=\"has-medium-grey-color has-text-color\"><strong>Text adapted from an article published in<a rel=\"noreferrer noopener\" href=\"https:\/\/ecoledesponts.fr\/sites\/ecoledesponts.fr\/files\/documents\/cdp_numero3_version_numerique.pdf\" target=\"_blank\">&nbsp;Le Cahier des Ponts n\u00b03<\/a>, La transition \u00e9nerg\u00e9tique, May 2020.<\/strong><\/p>\n"],"rendered":"\n<p class=\"has-medium-grey-color has-text-color\"><strong>Text adapted from an article published in<a rel=\"noreferrer noopener\" href=\"https:\/\/ecoledesponts.fr\/sites\/ecoledesponts.fr\/files\/documents\/cdp_numero3_version_numerique.pdf\" target=\"_blank\">&nbsp;Le Cahier des Ponts n\u00b03<\/a>, La transition \u00e9nerg\u00e9tique, May 2020.<\/strong><\/p>\n"}],"seo":{"title":"Mathematical optimization at the service of renewable energies"},"media":{"img":"<img width=\"2560\" height=\"1703\" src=\"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-scaled.jpg\" class=\"attachment-full size-full\" alt=\"\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-scaled.jpg 2560w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-300x200.jpg 300w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-1024x681.jpg 1024w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-768x511.jpg 768w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-1920x1278.jpg 1920w\" sizes=\"auto, (max-width: 2560px) 100vw, 2560px\" \/>","src":"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/07\/CdP_num3_Michel_De_Lara_Bandeau_\u00a9ArnaudBouissouTerra2015-scaled.jpg"},"url":"\/en\/articles\/mathematical-optimization-at-the-service-of-renewable-energies\/","related":{"post":[],"author":[{"title":"Michel De Lara","url":"\/en\/authors\/michel-de-lara\/","id":"1757","media":"<img width=\"60\" height=\"60\" src=\"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/11\/Michel_De_Lara-60x60.png\" class=\"attachment-author-thumb size-author-thumb wp-post-image\" alt=\"\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/11\/Michel_De_Lara-60x60.png 60w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/11\/Michel_De_Lara-150x150.png 150w\" sizes=\"auto, (max-width: 60px) 100vw, 60px\" \/>","slug":"michel-de-lara"}],"subject":[{"title":"Digital Technology, Modeling &#038; Artificial Intelligence","url":"\/en\/subjects\/digital-technology-modeling-artificial-intelligence\/","id":"690","media":"<img width=\"1920\" height=\"1080\" src=\"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/11\/Ecole-des-ponts-webmagazine-numerique.jpg\" class=\"attachment- size- wp-post-image\" alt=\"\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/11\/Ecole-des-ponts-webmagazine-numerique.jpg 1920w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/11\/Ecole-des-ponts-webmagazine-numerique-300x169.jpg 300w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/11\/Ecole-des-ponts-webmagazine-numerique-1024x576.jpg 1024w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/11\/Ecole-des-ponts-webmagazine-numerique-768x432.jpg 768w\" sizes=\"auto, (max-width: 1920px) 100vw, 1920px\" \/>","slug":"digital-technology-modeling-artificial-intelligence"},{"title":"Energy, Ecology &amp; Climate","url":"\/en\/subjects\/energy-ecology-climate\/","id":"937","media":"<img width=\"1920\" height=\"1080\" src=\"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/11\/Ecole-des-ponts-webmagazine-energie.jpg\" class=\"attachment- size- wp-post-image\" alt=\"\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/11\/Ecole-des-ponts-webmagazine-energie.jpg 1920w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/11\/Ecole-des-ponts-webmagazine-energie-300x169.jpg 300w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/11\/Ecole-des-ponts-webmagazine-energie-1024x576.jpg 1024w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/11\/Ecole-des-ponts-webmagazine-energie-768x432.jpg 768w\" sizes=\"auto, (max-width: 1920px) 100vw, 1920px\" \/>","slug":"energy-ecology-climate"}],"category":[{"title":"Articles","url":"\/en\/articles\/category\/articles\/","id":"1716","media":"","slug":"articles","_related_post_type":""}],"folder":[{"title":"Energy Transition","url":"\/en\/folders\/energy-transition\/","id":"4232","media":"<img width=\"2560\" height=\"1440\" src=\"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/09\/AdobeStock_184007753-scaled.jpeg\" class=\"attachment- size- wp-post-image\" alt=\"\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/09\/AdobeStock_184007753-scaled.jpeg 2560w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/09\/AdobeStock_184007753-300x169.jpeg 300w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/09\/AdobeStock_184007753-1024x576.jpeg 1024w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/09\/AdobeStock_184007753-768x432.jpeg 768w, https:\/\/ingenius.ecoledesponts.fr\/wp-content\/uploads\/2022\/09\/AdobeStock_184007753-1920x1080.jpeg 1920w\" sizes=\"auto, (max-width: 2560px) 100vw, 2560px\" \/>","slug":"energy-transition"}]},"translated":"https:\/\/ingenius.ecoledesponts.fr\/articles\/loptimisation-mathematique-au-service-des-energies-renouvelables\/","icon":"icon-article","duration":"3","custom_excerpt":"<strong>As demonstrated in the work of Michel De Lara and his colleagues at the Research Center in Mathematics and Scientific Computing (CERMICS), mathematical optimization is a valuable tool for the energy transition, particularly for taking advantage of renewable energies.<\/strong>","duration_type":"","_links":{"self":[{"href":"https:\/\/ingenius.ecoledesponts.fr\/en\/wp-json\/wp\/v2\/posts\/1755","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ingenius.ecoledesponts.fr\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ingenius.ecoledesponts.fr\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ingenius.ecoledesponts.fr\/en\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/ingenius.ecoledesponts.fr\/en\/wp-json\/wp\/v2\/comments?post=1755"}],"version-history":[{"count":5,"href":"https:\/\/ingenius.ecoledesponts.fr\/en\/wp-json\/wp\/v2\/posts\/1755\/revisions"}],"predecessor-version":[{"id":8944,"href":"https:\/\/ingenius.ecoledesponts.fr\/en\/wp-json\/wp\/v2\/posts\/1755\/revisions\/8944"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ingenius.ecoledesponts.fr\/en\/wp-json\/wp\/v2\/media\/1557"}],"wp:attachment":[{"href":"https:\/\/ingenius.ecoledesponts.fr\/en\/wp-json\/wp\/v2\/media?parent=1755"}],"wp:term":[{"taxonomy":"article-types","embeddable":true,"href":"https:\/\/ingenius.ecoledesponts.fr\/en\/wp-json\/wp\/v2\/article-types?post=1755"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}