Lumped-element model: Difference between revisions

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[[File:Ohm's Law with Voltage source TeX.svg|right|thumb|Representation of a lumped model made up of a voltage source and a resistor.]]

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 network|electrical systems]] (including [[electronics]]), mechanical [[multibody systemdohiksystem]]s, [[heat transfer]], [[acoustics]], etc.

Mathematically speaking, the simplification reduces the [[State space (controls)|state space]] of the system to a [[counting number|finite]] [[dimension]], and the [[partial differential equation]]s (PDEs) of the continuous (infinite-dimensional) time and space model of the physical system into [[ordinary differential equation]]s (ODEs) with a finite number of parameters.