Academic literature on the topic 'Acausal model'

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Journal articles on the topic "Acausal model"

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Uddin, Kotub, Alessandro Picarelli, Christopher Lyness, Nigel Taylor, and James Marco. "An Acausal Li-Ion Battery Pack Model for Automotive Applications." Energies 7, no. 9 (2014): 5675–700. http://dx.doi.org/10.3390/en7095675.

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Jimenez, Belmonte, Garrido, Ruz, and Vazquez. "Software Tool for Acausal Physical Modelling and Simulation." Symmetry 11, no. 10 (2019): 1199. http://dx.doi.org/10.3390/sym11101199.

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Modelling and simulation are key tools for analysis and design of systems and processes from almost any scientific or engineering discipline. Models of complex systems are typically built on acausal Differential-Algebraic Equations (DAE) and discrete events using Object-Oriented Modelling (OOM) languages, and some of their key concepts can be explained as symmetries. To obtain a computer executable version from the original model, several algorithms, based on bipartite symmetric graphs, must be applied for automatic equation generation, removing alias equations, computational causality assignment, equation sorting, discrete-event processing or index reduction. In this paper, an open source tool according to OOM paradigm and developed in MATLAB is introduced. It implements such algorithms adding an educational perspective about how they work, since the step by step results obtained after processing the model equations can be shown. The tool also allows to create models using its own OOM language and to simulate the final executable equation set. It was used by students in a modelling and simulation course of the Automatic Control and Industrial Electronics Engineering degree, showing a significant improvement in their understanding and learning of the abovementioned topics after their assessment.
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Asl, Hadi Adibi, Roydon A. Fraser, and John McPhee. "Acausal powertrain modelling with cycle-by-cycle spark ignition engine model." International Journal of Powertrains 4, no. 4 (2015): 353. http://dx.doi.org/10.1504/ijpt.2015.073786.

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Siswantara, Ahmad Indra, M. Hilman Gumelar Syafei, Muhammad Arif Budiyanto, et al. "Flow distribution analysis of a novel fcc system through experiment study and atomic model." EUREKA: Physics and Engineering, no. 2 (March 22, 2023): 52–67. https://doi.org/10.21303/2461-4262.2023.002813.

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As the largest palm oil producer in the world, Indonesia has a promising potential to produce green fuel through the Fluid Catalytic Cracking (FCC) process. A novel FCC configuration, FCC Proto X 3, which combines a riser reactor and downer reactor in the system, has been developed. However, several valves including in the FCC system remain a black box to the flow distribution in the system. The objective of this paper is to investigate the effect of the valve setting variation on the airflow distribution of the FCC system. The methodology uses experiment and acausal modeling. The effect of valve setting variation on pressure and average velocity of the airflow has been investigated. The experiment is conducted under cold test conditions, while the acausal model of the FCC system is built by using OpenModelica. It is obtained that valve 2 which controls the flow at the channel toward the regenerator is essential due to its role in controlling the air supply combustion process in the regenerator and driving the spent catalyst particles to the regenerator. Valve 3 is responsible for controlling the flow toward the riser reactor directly. Later, it is responsible for supplying the lifting fluid to support the catalytic cracking reaction at the riser sections. Valve 4 contributes to controlling the lifting fluid to the downer reactor. It will also be responsible for supplying thermal energy from the high-temperature particle catalyst to the reactor. When all valves toward the regenerator and reactor are 100 % open, the measured average velocity at the flue gas outlet and the product outlet are 8.04 m/s and 5.775 m/s respectively. The result shows that the airflow at the FCC system tends to flow through the regenerator. The atomic model estimation also shows a similar trend to the experiment result
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Cavini, Leonardo, Susan Liscouët-Hanke, and Nicole Viola. "Acausal Fuel Cell Simulation Model for System Integration Analysis in Early Design Phases." Modelling 5, no. 4 (2024): 1435–53. http://dx.doi.org/10.3390/modelling5040074.

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Hydrogen technologies have the potential to reduce aviation’s CO2 emissions but come with many challenges. This paper introduces a scalable hydrogen fuel cell model tailored for system integration analysis in early aircraft design phases. The model focuses on Proton Exchange Membrane Fuel Cells (PEMFCs) and is based on thermodynamic equations and empirical data to simulate performance under different ambient and operating conditions; it also includes a simplified model of the Balance of Plant (BOP) systems and is implemented in OpenModelica. The model performance is validated through a comparison of the simulated polarization curves with real datasheet data. A case study highlights the peculiarities of this model by studying the sizing of the fuel cell stacks for a modified ATR 72 aircraft. The developed model effectively supports the early design exploration of the aircraft with a greater level of detail for system integration studies, essential to better explore the potential of aircraft featuring hydrogen-based power systems.
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Kvassay, Marcel, Peter Krammer, Ladislav Hluchý, and Bernhard Schneider. "Causal Analysis of an Agent-Based Model of Human Behaviour." Complexity 2017 (2017): 1–18. http://dx.doi.org/10.1155/2017/8381954.

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This article investigates causal relationships leading to emergence in an agent-based model of human behaviour. A new method based on nonlinear structural causality is formulated and practically demonstrated. The method is based on the concept of acausal partitionof a model variable which quantifies the contribution of various factors to its numerical value. Causal partitions make it possible to judge the relative importance of contributing factors over crucial early periods in which the emergent behaviour of a system begins to form. They can also serve as the predictors of emergence. The time-evolution of their predictive power and its distribution among their components hint at the deeper causes of emergence and the possibilities to control it.
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Siswantara, Ahmad Indra, M. Hilman Gumelar Syafei, Muhammad Arif Budiyanto, et al. "Flow distribution analysis of a novel fcc system through experiment study and atomic model." EUREKA: Physics and Engineering, no. 2 (March 22, 2023): 52–67. http://dx.doi.org/10.21303/2461-4262.2023.002813.

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Abstract:
As the largest palm oil producer in the world, Indonesia has a promising potential to produce green fuel through the Fluid Catalytic Cracking (FCC) process. A novel FCC configuration, FCC Proto X 3, which combines a riser reactor and downer reactor in the system, has been developed. However, several valves including in the FCC system remain a black box to the flow distribution in the system. The objective of this paper is to investigate the effect of the valve setting variation on the airflow distribution of the FCC system. The methodology uses experiment and acausal modeling. The effect of valve setting variation on pressure and average velocity of the airflow has been investigated. The experiment is conducted under cold test conditions, while the acausal model of the FCC system is built by using OpenModelica. It is obtained that valve 2 which controls the flow at the channel toward the regenerator is essential due to its role in controlling the air supply combustion process in the regenerator and driving the spent catalyst particles to the regenerator. Valve 3 is responsible for controlling the flow toward the riser reactor directly. Later, it is responsible for supplying the lifting fluid to support the catalytic cracking reaction at the riser sections. Valve 4 contributes to controlling the lifting fluid to the downer reactor. It will also be responsible for supplying thermal energy from the high-temperature particle catalyst to the reactor. When all valves toward the regenerator and reactor are 100 % open, the measured average velocity at the flue gas outlet and the product outlet are 8.04 m/s and 5.775 m/s respectively. The result shows that the airflow at the FCC system tends to flow through the regenerator. The atomic model estimation also shows a similar trend to the experiment result
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Álvarez, Ezequiel, Leandro Da Rold, Carlos Schat, and Alejandro Szynkman. "Vertex displacements for acausal particles: testing the Lee-Wick standard model at the LHC." Journal of High Energy Physics 2009, no. 10 (2009): 023. http://dx.doi.org/10.1088/1126-6708/2009/10/023.

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Tundis, Andrea, Lena Buffoni, Peter Fritzson, and Alfredo Garro. "Model-Based Dependability Analysis of Physical Systems with Modelica." Modelling and Simulation in Engineering 2017 (2017): 1–15. http://dx.doi.org/10.1155/2017/1578043.

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Modelica is an innovative, equation-based, and acausal language that allows modeling complex physical systems, which are made of mechanical, electrical, and electrotechnical components, and evaluates their design through simulation techniques. Unfortunately, the increasing complexity and accuracy of such physical systems require new, more powerful, and flexible tools and techniques for evaluating important system properties and, in particular, the dependability ones such as reliability, safety, and maintainability. In this context, the paper describes some extensions of the Modelica language to support the modeling of system requirements and their relationships. Such extensions enable the requirement verification analysis through native constructs in the Modelica language. Furthermore, they allow exporting a Modelica-based system design as a Bayesian Network in order to analyze its dependability by employing a probabilistic approach. The proposal is exemplified through a case study concerning the dependability analysis of a Tank System.
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Szántó, András, Sándor Hajdu, and Krisztián Deák. "Longitudinal Dynamic Modeling and Driving Cycle Tracking Control of an Electric-Driven Vehicle by Means of MATLAB/Simulink/Simscape." Periodica Polytechnica Transportation Engineering 50, no. 2 (2022): 146–52. http://dx.doi.org/10.3311/pptr.16197.

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MATLAB, Simulink, and Simscape are market-leading products in Model-Based Design (MBD). Applying acausal and causal modeling methods to model the physical plant and control algorithms of mechatronic systems results in high-fidelity virtual prototype models that can be used for Model-in-Loop (MiL) development. In this paper, an electric-driven vehicle is modeled, which can execute various driving cycle inputs. PID controllers are used in order to get the appropriate plant inputs. Idealized anti-lock braking system (ABS) and traction control system (TCS) algorithms provide robustness when the driving cycle input is near-infeasible. The control algorithm is validated in the cases of feasible and infeasible driving cycle inputs.
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Dissertations / Theses on the topic "Acausal model"

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Malík, Lukáš. "HIL model elektromechanického systému." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2018. http://www.nusl.cz/ntk/nusl-376959.

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This diploma thesis deals with creation of elektromechanical model in Modelica language which is subsequently imported into LabVIEW environment. The Modelica language, LabVIEW graphical programming tool and Functional Mock-up Interface 2.0 standard are described in the introduction of this thesis. Functional Mock-up Interface is a tool independent standard witch, defines a standardized interface to ModelExchange and Co-simulation of complex system components. The model of electromechanical system was created based on Functional Mock-up Interface standard. Part of the work focuses on the Functional Mock-up Unit storage possibilities and LabVIEW support to import models of this type. The imported model was simulated and tested in this environment. Finally, the instance of Functional Mock-up Unit was connected with LabVIEW FPGA target for the purpose of model HIL simulation on CompactRIO platform.
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Glos, Jan. "Využití modelů v jazyce Modelica v prostředí Matlab-Simulink." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2015. http://www.nusl.cz/ntk/nusl-221266.

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This thesis solves the use of Modelica models in Matlab/Simulink enviroment. The first part is focused on Modelica language and Functional Mock-up Interface, a standard way for model exchange and co-simulation of dynamic models, which is supported by most Modelica oriented tools. Based on this standard FMUtoolbox was created and it provides the ability to import and simulate models exported as Functional Mock-up Unit. The tool provides a Simulink block, graphical and command-line interface.
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Adibi, Asl Hadi. "Acausal Powertrain Modelling with Application to Model-based Powertrain Control." Thesis, 2014. http://hdl.handle.net/10012/8277.

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The automotive industry has long been searching for efficient ways to improve vehicle performance such as drivability, fuel consumption, and emissions. Researchers in the automotive industry have tried to develop methods to improve fuel consumption and reduce the emission gases of a vehicle, while satisfying drivability and ride comfort issues. Today, by developing computer/software technologies, automotive manufacturers are moving more and more towards modelling a real component (prototype) in a software domain (virtual prototype). For instance, modelling the components of a vehicle's powertrain (driveline) in the software domain helps the designers to iterate the model for different operating conditions and scenarios to obtain better performance without any cost of making a real prototype. The objective of this research is to develop and validate physics-based powertrain models with sufficient fidelity to be useful to the automotive industry for rapid prototyping. Developing a physics-based powertrain model that can accurately simulate real phenomenon in the powertrain components is of great importance. For instance, a high-fidelity simulation of the combustion phenomenon in the internal combustion (IC) engine with detailed physical and chemical reactions can be used as a virtual prototype to estimate physical prototype characteristics in a shorter time than it would take to build a physical prototype. Therefore, the powertrain design can be explored and validated virtually in the software domain to reduce the cost and time of product development. The main focus of this thesis is on development of an internal combustion engine model, four-cylinder spark ignition engine, and a hydrodynamic torque converter model. Then, the models are integrated along with the rest of a powertrain's components (e.g. vehicle longitudinal dynamics model) through acausal connections, which represents a more feasible physics-based powertrain model for model-based control design. The powertrain model can be operated at almost all operating conditions (e.g. wide range of the engine speeds and loads), and is able to capture some transient behaviour of the powertrain as well as the steady state response. Moreover, the parametric formulation of each component in the proposed powertrain model makes the model more efficient to simulate different types of powertrain (e.g. for a passenger car or truck).
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Books on the topic "Acausal model"

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Sheldon, Rebekah. Life. University of Minnesota Press, 2017. http://dx.doi.org/10.5749/minnesota/9780816689873.003.0003.

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The second chapter continues with the equation of the child in relation to the future, taking up the centrality of reproduction to any ethics premised on human survival. Through a reading of Joanna Russ’s 1977 novel We Who Are About To, it considers narrative structures that refuse generational survival and intergenerational rescue, as rescue requires everything to hold its shape, to remain as it is, long enough to be rescued. Therefore, it isn’t that the world is acausal but that causality is richer and stranger than rescue and survival narratives can imagine. Ideologies of reproduction are one of the modes by which we attempt to manage biological, chemical, and ontological affectivities.
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Book chapters on the topic "Acausal model"

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Lindquist, Anders, and Giorgio Picci. "Acausal Linear Stochastic Models and Spectral Factorization." In Series in Contemporary Mathematics. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-45750-4_16.

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Huang, Di, Lixin Hui, Qianqian Lin, Bingrui Bao, and Zhengguo Jin. "Modeling and Simulation Analysis of the Stewart Platform System Based on Modelica." In Frontiers in Artificial Intelligence and Applications. IOS Press, 2024. http://dx.doi.org/10.3233/faia241130.

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The Stewart platform is a typical complex mechatronic system, involving multiple disciplines such as mechanics, control and electrical engineering. In order to model and analyze the Stewart platform system in a unified manner, a unified multidisciplinary modeling language is adopted. Based on the object-oriented modeling concept, the system is decomposed and integrated to establish a set of simulation models for the Stewart platform system. This paper, taking advantage of the acausal modeling characteristics of the Modelica language, efficiently and rapidly constructs a set of inverse kinematics control methods that can accurately solve the controlled quantities in the controller based on the inverse model. By conducting multi-scenario simulation analyses based on the Stewart platform system model, The results demonstrate that the inverse kinematics control method can accurately achieve control over the displacement and orientation of the moving platform, proveing the correctness of the Stewart platform system. This provides guidance for subsequent research on the control theory and kinematics dynamics of the Stewart platform.
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França, Alexandra, and Orlando Lima Rua. "Entrepreneurship and Chance." In Advances in Business Strategy and Competitive Advantage. IGI Global, 2019. http://dx.doi.org/10.4018/978-1-5225-6942-8.ch006.

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The unpredictability of business activities means that entrepreneurs should find a way to adapt and embrace chance. The traditional and predefined process logic offers little support for today's complex and dynamic business environment. One tenet that shaped the direction of entrepreneurship research is the view that the entrepreneurial opportunity discovery and development is linear, systematic, and rational, that is, it is assumed that all factors are measurable and knowable. However, unknowable instances of coincidence, randomness, and chance factors can play a significant role in new venture creation. The authors propose that these factors point to the nonlinear and acausal phenomenon of chance. This research proposal intends to address entrepreneurs' alternative mechanisms, other than the classic formal planning model, to harness opportunities or overcome setbacks arising from chance. To achieve our purpose, the authors examine qualitative data drawn from entrepreneurial activity of Spain and Portugal.
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Ganson, Dorit A. "Acausal Models of Explanation." In The Explanationist Defense of Scientific Realism. Routledge, 2020. http://dx.doi.org/10.4324/9781003023357-2.

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Lorenz, F. "ACAUSAL INFORMATION BONDS IN BOND GRAPH MODELS." In Advanced Information Processing in Automatic Control (AIPAC '89). Elsevier, 1990. http://dx.doi.org/10.1016/b978-0-08-037034-7.50062-6.

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Conference papers on the topic "Acausal model"

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Menegay, Peter, Christian Doepp, Jason Salyers, Dan Notestein, Dale Burnham, and Joann Luu. "System of Systems Model Building and Acausal Simulation Environment." In AIAA Aviation 2019 Forum. American Institute of Aeronautics and Astronautics, 2019. http://dx.doi.org/10.2514/6.2019-3575.

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Chu, Sarah, Cameron Johnstone, Michael Balchanos, Michael Steffens, and Dimitri Mavris. "Applying Acausal Physics-Based Modeling and Model-Based Systems Engineering to Improve System Model Scalability and Reusability." In SNAME 14th International Marine Design Conference. SNAME, 2022. http://dx.doi.org/10.5957/imdc-2022-355.

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The idea of a digital enterprise has caught traction recently as an efficient and novel means of enhancing the design, verification, validation, manufacturing, and operational processes around complex and integrated systems. The Office of Naval Research (ONR) has demonstrated interest in the digital enterprise as a means of both expanding its use of Unmanned Surface Vehicles (USVs) and scaling them to more complex use cases. The growing wave of digital engineering influence stands to augment current engineering lifecycle processes by enabling the development of digital twins and new practices around them such as virtual experimentation. These new practices will rapidly reduce the time and cost of system development and certification and, if done correctly, will accelerate the evolution of unmanned surface vehicles. However, for these systems to be trusted to operate in the way envisioned by the ONR and larger Defense industry, several issues surrounding digital model creation must be addressed. The purpose of this study was two-fold. Firstly, to investigate a methodology for digital twin creation and virtual experimentation by developing a modelling and simulation dashboard around a prototypical unmanned surface. Secondly, to investigate potential solutions to lack of scalability and reusability in classical physics-based modelling techniques and improved digital enterprise architecting by connecting model simulation to model definition and stakeholder requirements. The first phase revolved around using both physics and data-driven information from the system to capture its behavior in three layers of interest: dynamic, electrical, and thermal. A model was created and simulated in a digital testbed to explore how improved physical and digital experimentation could reduce uncertainty in model performance. The results of this phase suggested that the spiral development approach taken to virtual experimentation platform and digital twin development could reduce the cost of system verification and validation if scaled. One part of the second phase showed that by modeling operational activities and requirements, the overall system functionality can be identified as well as any gaps in the architecture that need to be addressed. This helps identify new requirements for the USV and ensures that the process of data gathering during virtual experimentation is better understood. The structural model is then transformed into an analytical model for the actual simulation of the system. The other part of the second phase focused on causal model development using the Modelica system modelling language as a means of improving scalability. The same unmanned surface vehicle in phase one was recreated and simulated in the Dymola environment. The results were compared against experimental data from phase one and show that the Modelica model solved faster, was simpler to implement, and was more easily adapted to more complex systems than the original state-equation-based model python code.
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Hirano, Yutaka, Satoshi Shimada, Yoichi Teraoka, et al. "Initiatives for acausal model connection using FMI in JSAE (Society of Automotive Engineers of Japan)." In The 11th International Modelica Conference. Linköping University Electronic Press, 2015. http://dx.doi.org/10.3384/ecp15118795.

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Wang, Guoli, Youfu Li, and Weiliang Xu. "Symmetric Dichotomy Based Inverse Dynamics of a High-Speed Flexible Beam." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0110.

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Abstract The symmetric acausal/causal dichotomy based model is developed for the internal dynamics of a high-speed flexible beam, and the resultant modeling redundancy is revealed. The efficient scheme of computing the bounded input-state trajectories is proposed to relieve the redundant computational burden of the time-domain inverse dynamic solutions, and its implication to trajectory planning is also investigated.
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Seaman, Aden N., and John McPhee. "Symbolic Math-Based Battery Modeling for Electric Vehicle Simulation." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28814.

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We present results of a math-based model of a battery electric vehicle (BEV) designed in MapleSim. This model has the benefits of being described in a physically consistent way using acausal system components. We used a battery model by Chen and Rinc´on-Mora to develop a math-based model of a complete battery pack, and developed simple power controller, motor/generator, terrain, and drive-cycle models to test the vehicle under various conditions. The resulting differential equations are simplified symbolically and then simulated numerically to give results that are physically consistent and clearly show the tight coupling between the battery and longitudinal vehicle dynamics.
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Cooper, Seth, Andrew Klem, M. Hashem Nehrir, and Hongwei Ga. "An improved state-space averaged model of a dual active bridge converter for use in acausal system modeling." In 2016 North American Power Symposium (NAPS). IEEE, 2016. http://dx.doi.org/10.1109/naps.2016.7747882.

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Lattmann, Zsolt, Adam Nagel, Jason Scott, et al. "Towards Automated Evaluation of Vehicle Dynamics in System-Level Designs." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-71378.

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We describe the use of the Cyber-Physical Modeling Language (CyPhyML) to support trade studies and integration activities in system-level vehicle designs. CyPhyML captures parameterized component behavior using acausal models (i.e. hybrid bond graphs and Modelica) to enable automatic composition and synthesis of simulation models for significant vehicle subsystems. Generated simulations allow us to compare performance between different design alternatives. System behavior and evaluation are specified independently from specifications for design-space alternatives. Test bench models in CyPhyML are given in terms of generic assemblies over the entire design space, so performance can be evaluated for any selected design instance once automated design space exploration is complete. Generated Simulink models are also integrated into a mobility model for interactive 3-D simulation.
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Sielemann, Michael, Matthis Thorade, Jim Claesson, et al. "Modelica and Functional Mock-Up Interface: Open Standards for Gas Turbine Simulation." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-91597.

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Abstract This paper introduces two physical modeling standards in the gas turbine and cycle analysis context. Modelica is the defacto standard for physical system modeling and simulation. The Functional Mock-Up Interface is a domain-independent standard for model exchange (“engine decks”). The paper summarizes key language concepts and discusses important design patterns in the application of gas turbine simulation concepts to the acausal modeling language. To substantiate how open standards are applicable to gas turbine simulation, the paper closes with two application examples, a conventional unmixed turbofan thermodynamic cycle and weight analysis as well as an electrically boosted geared turbofan.
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Adibi Asl, Hadi, Nasser Lashgarian Azad, and John McPhee. "Modeling Torque Converter Characteristics in Automatic Drivelines: Lock-up Clutch and Engine Braking Simulation." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70222.

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A torque converter, which is a hydrodynamic clutch in automatic transmissions, transmits power from the engine shaft to the transmission shaft either by dynamically multiplying the engine torque or by rigidly coupling the engine and transmission shafts. The torque converter is a critical element in the automatic driveline, and it affects the vehicle’s fuel consumption and longitudinal dynamics. This paper presents a math-based torque converter model that is able to capture both transient and steady-state characteristics. The torque converter is connected to a mean-value engine model, transmission model, and longitudinal dynamics model in the MapleSim environment, which uses the advantages of an acausal modeling approach. A lock-up clutch is added to the torque converter model to improve the efficiency of the powertrain in higher gear ratios, and its effect on the vehicle longitudinal dynamics (forward velocity and acceleration) is studied. We show that the proposed model can capture the transition from the forward flow to the reverse flow operations during engine braking or coasting. The simulation results also show that the engine braking phenomenon (due to the flow reversal) can effectively assist the braking system to slow down the vehicle.
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Matar, Jad, Raphael Chenouard, and Alain Bernard. "A New Integration Framework for Modeling and Optimizing Systems in Preliminary Design Phase." In ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/esda2012-82623.

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In this paper we propose a new integration framework model for simplifying the feasible space exploration and product optimization in early design phases. Hence, modeling and optimizing tasks are core activities in this framework. Currently, system engineering problems are modeled and optimized using a wide range of domain-specific languages. One should not duplicate these languages by creating a new system engineering language capable of modeling and optimizing every aspect of a system. Thus we combine the UML2 language and the formalism of Constraint Optimization Problems (COPs). UML2 is a visual modeling language, which provides a set of diagrams and constructs for modeling the major aspects of a product. In order to optimize design parameters, we reformulate some of this modeling knowledge into a COP. A COP may be defined as a regular constraint satisfaction problem (CSP) augmented with a set of objective functions. Thus the optimization problem to be solved is stated declaratively with acausal constraints. Then, COP solvers are based on generic solving algorithms computing a set of optimal solutions. In this paper, generic concepts integrating variability modeling concepts and based on architecture description languages are introduced. We also briefly describe transformation strategy using ATL language to perform a bidirectional mapping between UML2 constructs and the corresponding COP models.
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