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HandWiki. Lumped Element Model. Encyclopedia. Available online: https://encyclopedia.pub/entry/35754 (accessed on 26 September 2026).
HandWiki. Lumped Element Model. Encyclopedia. Available at: https://encyclopedia.pub/entry/35754. Accessed September 26, 2026.
HandWiki. "Lumped Element Model" Encyclopedia, https://encyclopedia.pub/entry/35754 (accessed September 26, 2026).
HandWiki. (2022, November 22). Lumped Element Model. In Encyclopedia. https://encyclopedia.pub/entry/35754
HandWiki. "Lumped Element Model." Encyclopedia. Web. 22 November, 2022.
Lumped Element Model
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The lumped element model (also called lumped parameter model, or lumped component model) simplifies the description of the behaviour of spatially distributed physical systems into a topology consisting of discrete entities that approximate the behaviour of the distributed system under certain assumptions. It is useful in electrical systems (including electronics), mechanical multibody systems, heat transfer, acoustics, etc. Mathematically speaking, the simplification reduces the state space of the system to a finite dimension, and the partial differential equations (PDEs) of the continuous (infinite-dimensional) time and space model of the physical system into ordinary differential equations (ODEs) with a finite number of parameters.

lumped element model physical system physical systems

References

  1. Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (PDF), Massachusetts Institute of Technology. http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-002-circuits-and-electronics-spring-2007/video-lectures/6002_l1.pdf
  2. Incropera; DeWitt; Bergman; Lavine (2007). Fundamentals of Heat and Mass Transfer (6th ed.). John Wiley & Sons. pp. 260–261. ISBN 978-0-471-45728-2. 
  3. Heat Transfer - A Practical Approach by Yunus A Cengel
  4. Ramallo-González, A.P., Eames, M.E. & Coley, D.A., 2013. Lumped Parameter Models for Building Thermal Modelling: An Analytic approach to simplifying complex multi-layered constructions. Energy and Buildings, 60, pp.174-184.
  5. Ramallo-González, A.P. 2013. Modelling Simulation and Optimisation of Low-energy Buildings. PhD. University of Exeter.
  6. Cooper, S.J.G., Hammond, G.P., McManus, M.C., Ramallo-Gonzlez, A. & Rogers, J.G., 2014. Effect of operating conditions on performance of domestic heating systems with heat pumps and fuel cell micro-cogeneration. Energy and Buildings, 70, pp.52-60.
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