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Brodoline I, Sauvageot E, Viollet S, Serres JR. Shaping the energy curves of a servomotor-based hexapod robot. Sci Rep 2024; 14:11675. [PMID: 38778163 DOI: 10.1038/s41598-024-62184-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/16/2023] [Accepted: 05/14/2024] [Indexed: 05/25/2024] Open
Abstract
The advantageous versatility of hexapod robots is often accompanied by high power consumption, while animals have evolved an energy efficient locomotion. However, there are a lack of methods able to compare and apply animals' energetic optimizations to robots. In this study, we applied our method to a full servomotor-based hexapod robot to evaluate its energetic performance. Using an existing framework based on the laws of thermodynamics, we estimated four metrics using a dedicated test bench and a simulated robotic leg. We analyzed the characteristics of a single leg to shape the energetic profile of the full robot to a given task. Energy saving is improved by 10% through continuous duty factor adjustment with a 192% increase in power maximization. Moreover, adjusting the robot's velocity by the step length and associating this with gait switching, reduces the power loss by a further 10% at low-speed locomotion. However, unlike in animals, only one unique optimal operating point has been revealed, which is a disadvantage caused by the low energetic efficiency of servomotor-based hexapods. Thus, these legged robots are severely limited in their capacity to optimally adjust their locomotion to various tasks-a counter-intuitive conclusion for a supposedly versatile robot.
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Affiliation(s)
- Ilya Brodoline
- Aix Marseille Univ, CNRS, ISM, 163 avenue de Luminy, 13288, Marseille Cedex 09, France.
| | - Emilie Sauvageot
- Aix Marseille Univ, CNRS, ISM, 163 avenue de Luminy, 13288, Marseille Cedex 09, France
- Centrale Marseille, 33 Rue Frédéric Joliot Curie, 13451, Marseille, France
| | - Stéphane Viollet
- Aix Marseille Univ, CNRS, ISM, 163 avenue de Luminy, 13288, Marseille Cedex 09, France
| | - Julien R Serres
- Aix Marseille Univ, CNRS, ISM, 163 avenue de Luminy, 13288, Marseille Cedex 09, France
- Institut universitaire de France (IUF), 1 Rue Descartes, 75231, Paris Cedex 05, France
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Herbert É, Giraud G, Louis-Napoléon A, Goupil C. Macroeconomic dynamics in a finite world based on thermodynamic potential. Sci Rep 2023; 13:18020. [PMID: 37865677 PMCID: PMC10590417 DOI: 10.1038/s41598-023-44699-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/10/2023] [Accepted: 10/11/2023] [Indexed: 10/23/2023] Open
Abstract
This paper presents a conceptual model describing the medium and long term co-evolution of natural and socio-economic subsystems of Earth. An economy is viewed as an out-of-equilibrium dissipative structure that can only be maintained with a flow of energy and matter. The distinctive approach emphasized here consists in capturing the economic impact of natural ecosystems' depletion by human activities via a pinch of thermodynamic potentials. This viewpoint allows: (i) the full-blown integration of a limited quantity of primary resources into a non-linear macrodynamics that is stock-flow consistent both in terms of matter-energy and economic transactions; (ii) the inclusion of natural and forced recycling; (iii) the inclusion of a friction term which reflects the impossibility to produce (and recycle)goods and services without exuding energy and matter wastes, and (iv) the computation of the anthropically produced entropy as a function of metabolizing intensity and frictions. Analysis and numerical computations confirm the role played by intensity and frictions as key factors for sustainability by contrast with real GDP growth-as well as the interplay between resource scarcity, income inequality, and inflation. A more egalitarian society with moderate inflation turns out to be more sustainable than an unequal society with low inflation. Our approach is flexible enough to allow for various economic models to be embedded into our thermodynamic framework. Finally, we propose the open source ECODYCO software as a first complete realization implementing economic dynamics in a multi-resource environment.
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Affiliation(s)
- Éric Herbert
- Université Paris Cité, CNRS, UMR 8236-LIED, 75013, Paris, France.
| | - Gaël Giraud
- Environmental Justice Program, McCourt School of Public Policy, Georgetown University, Washington, DC, USA
- Chaire Énergie et Prospérité, Paris, France
| | - Aurélie Louis-Napoléon
- Université Paris Cité, CNRS, UMR 8236-LIED, 75013, Paris, France
- Chaire Énergie et Prospérité, Paris, France
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Dupas MC, Parison S, Noel V, Chatzimpiros P, Herbert É. Variable renewable energy penetration impact on productivity: A case study of poultry farming. PLoS One 2023; 18:e0286242. [PMID: 37782652 PMCID: PMC10545111 DOI: 10.1371/journal.pone.0286242] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/19/2022] [Accepted: 05/11/2023] [Indexed: 10/04/2023] Open
Abstract
Like all current industrial systems, agriculture overwhelmingly relies on energy supply from controllable sources, mainly fossil fuels and grid electricity. Power supply from these sources can be adapted to perfectly match the timing of power requirements of demand systems. The energy transition largely consists in substituting renewable power-which is intermittent by nature-to controllable sources, leading to disconnection between instantaneous power production and demand. Energy storage is a potential solution for balancing production and demand and safeguarding the operating conditions of the demand system. In this paper we quantify the effects of renewable power supply (solar and wind) on the operation of a standard poultry farm. We model the balance of power generation and demand considering the growth conditions of poultry and local weather data including temperatures, wind speed and solar radiation. We assess scenarios of renewable power supply in function of the size of the power plant, the wind-to-solar power generation mix and energy storage, and assess the impact of power supply patterns on the operating intensity (productivity) of the demand system. We show that, with a limited storage capacity, it is possible to achieve non-negligible shares of renewable power penetration without major loss in farm productivity. However, a full transition to renewable power would require the combination of i)-large energy storage compared to the annual demand, ii)- significant oversizing of the power production plant, and iii)-the exclusion of power generation combinations (wind/solar) that deviate from the timing of demand. Storage and power plant oversizing is all the more critical as production and demand are uncorrelated over the year. The ratio of useful to unused energy storage by the end of the year varies with the energy mix and operating intensity (productivity) of the farm. We discuss the implications of different energy configurations on the performance of the demand system.
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Affiliation(s)
| | - Sophie Parison
- Université Paris Cité, CNRS, UMR 8236 - LIED, Paris, France
| | - Vincent Noel
- CNRS, Université de Toulouse, UMR 8539 - LAERO, Observatoire Midi-Pyrénées, Toulouse, France
| | | | - Éric Herbert
- Université Paris Cité, CNRS, UMR 8236 - LIED, Paris, France
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Raux P, Ritort F. N-States Continuous Maxwell Demon. ENTROPY (BASEL, SWITZERLAND) 2023; 25:321. [PMID: 36832687 PMCID: PMC9955812 DOI: 10.3390/e25020321] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/31/2022] [Revised: 02/06/2023] [Accepted: 02/07/2023] [Indexed: 06/18/2023]
Abstract
Maxwell's demon is a famous thought experiment and a paradigm of the thermodynamics of information. It is related to Szilard's engine, a two-state information-to-work conversion device in which the demon performs single measurements and extracts work depending on the state measurement outcome. A variant of these models, the continuous Maxwell demon (CMD), was recently introduced by Ribezzi-Crivellari and Ritort where work was extracted after multiple repeated measurements every time that τ is in a two-state system. The CMD was able to extract unbounded amounts of work at the cost of an unbounded amount of information storage. In this work, we built a generalization of the CMD to the N-state case. We obtained generalized analytical expressions for the average work extracted and the information content. We show that the second law inequality for information-to-work conversion is fulfilled. We illustrate the results for N-states with uniform transition rates and for the N = 3 case.
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Affiliation(s)
- Paul Raux
- Université Paris Cité, CNRS, UMR 8236-LIED, 75013 Paris, France
- Université Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France
| | - Felix Ritort
- Small Biosystems Lab, Condensed Matter Physics Department, University of Barcelona, 08028 Barcelona, Spain
- Institut de Nanociència i Nanotecnologia (IN2UB), Universitat de Barcelona, 08028 Barcelona, Spain
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Multi-Objective Optimization of Braun-Type Exothermic Reactor for Ammonia Synthesis. ENTROPY 2021; 24:e24010052. [PMID: 35052078 PMCID: PMC8774585 DOI: 10.3390/e24010052] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 12/16/2021] [Revised: 12/21/2021] [Accepted: 12/23/2021] [Indexed: 12/24/2022]
Abstract
The exothermic reactor for ammonia synthesis is a primary device determining the performance of the energy storage system. The Braun-type ammonia synthesis reactor is used as the exothermic reactor to improve the heat release rate. Due to the entirely different usage scenarios and design objectives, its parameters need to be redesigned and optimized. Based on finite-time thermodynamics, a one-dimensional model is established to analyze the effects of inlet gas molar flow rate, hydrogen–nitrogen ratio, reactor length and inlet temperature on the total entropy generation rate and the total exothermic rate of the reactor. It’s found that the total exothermic rate mainly depends on the inlet molar flow rate. Furthermore, considering the minimum total entropy generation rate and maximum total exothermic rate, the NSGA-II algorithm is applied to optimize seven reactor parameters including the inlet molar flow rate, lengths and temperatures of the three reactors. Lastly, the optimized reactor is obtained from the Pareto front using three fuzzy decision methods and deviation index. Compared with the reference reactor, the total exothermic rate of the optimized reactor is improved by 12.6% while the total entropy generation rate is reduced by 3.4%. The results in this paper can provide some guidance for the optimal design and application of exothermic reactors in practical engineering.
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Herbert E, Ouerdane H, Lecoeur P, Bels V, Goupil C. Thermodynamics of Animal Locomotion. PHYSICAL REVIEW LETTERS 2020; 125:228102. [PMID: 33315423 DOI: 10.1103/physrevlett.125.228102] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/06/2020] [Accepted: 10/26/2020] [Indexed: 06/12/2023]
Abstract
Muscles are biological actuators extensively studied in the frame of Hill's classic empirical model as isolated biomechanical entities, which hardly applies to a living organism subjected to physiological and environmental constraints. Here we elucidate the overarching principle of a living muscle action for locomotion, considering it from the thermodynamic viewpoint as an assembly of actuators (muscle units) connected in parallel, operating via chemical-to-mechanical energy conversion under mixed (potential and flux) boundary conditions. Introducing the energy cost of effort as the generalization of the well-known oxygen cost of transport in the frame of our compact locally linear nonequilibrium thermodynamics model, we analyze oxygen consumption measurement data from a documented experiment on energy cost management and optimization by horses moving at three different gaits. Horses adapt to a particular gait by mobilizing a nearly constant number of muscle units minimizing waste production per unit distance covered; this number significantly changes during transition between gaits. The mechanical function of the animal is therefore determined both by its own thermodynamic characteristics and by the metabolic operating point of the locomotor system.
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Affiliation(s)
- E Herbert
- Laboratoire Interdisciplinaire des Energies de Demain (LIED), CNRS UMR 8236, Université Paris Diderot, 5 Rue Thomas Mann, 75013 Paris, France
| | - H Ouerdane
- Center for Energy Science and Technology, Skolkovo Institute of Science and Technology, 3 Nobel Street, Skolkovo, Moscow Region 121205, Russia
| | - Ph Lecoeur
- Center for Nanoscience and Nanotechnology (C2N), CNRS, Université Paris-Saclay, 91120 Palaiseau, France
| | - V Bels
- Institut de Systématique, Evolution, Biodiversité, ISYEB, CNRS/MNHN/EPHE/UA UMR 7205, Muséum national d'Histoire naturelle, Sorbonne Universités, 45 rue Buffon, 75005 Paris, France
| | - Ch Goupil
- Laboratoire Interdisciplinaire des Energies de Demain (LIED), CNRS UMR 8236, Université Paris Diderot, 5 Rue Thomas Mann, 75013 Paris, France
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