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1.2 Second-order systems - MIT OpenCourseWare

Second-order systems 25 if the initial fluid height is defined as h(0) = h0, then the fluid height as a function of time varies as h(t) = h0e t g/RA [m]. ( ) Second-order systems In the previous sections, all the systems had only one energy storage element, and thus could be modeled by a first- order differential equation. In the case of the mechanical systems , energy was stored in a spring or an inertia. In the case of electrical systems , energy can be stored either in a capacitance or an inductance. In the basic linear models considered here, thermal systems store energy in thermal capacitance, but there is no thermal equivalent of a second means of storing energy. That is, there is no equivalent of a thermal inertia.

1.2 Second-order systems In the previous sections, all the systems had only one energy storage element, and thus could be modeled by a first-order differential equation.

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