Energy storage elements are dynamic elements
The first distinguishing feature of these elements is that they exhibit time-dependent characteristics, namely, i = C (dv / dt) for capacitance and v = L (di / dt) for inductance. For this reason, capacitances and inductances are said to be dynamic elements.
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6 FAQs about [Energy storage elements are dynamic elements]
How do energy storage elements define a dynamic process?
Energy storage elements provide the basis of the state equations we will derive to describe the dynamic processes occurring in a system. Of course, an energy storage element does not by itself define a dynamic process — it needs an input.
Why do we need to know about dependent energy storage elements?
This is a typical consequence of dependent energy storage elements and, as one might expect, in more complex systems the algebraic manipulations can become formidable, even prohibitively so. It would be useful to know about dependent energy-storage elements before attempting to derive equations. How may we do so?
Is energy storage a static or memory-less function?
Note that although we will use energy storage elements to describe dynamic behavior, this constitutive equation is a static or memory-less function. The constitutive equation permits us to evaluate the generalized potential energy, Ep For this element, potential energy is a function of displacement alone.
What are a-type energy storage elements?
Energy storage elements in which the stored energy is a function of the across-variable are defined to be A-type elements, and are collectively designated as generalized capacitances. All A-type energy storage elements have constitutive equations of the form: ()designates a single-valued, monotonic function.
Why are energy storage elements not independent?
Because the two energy storage elements in this model are not independent. Because of the one-junction, the velocity or momentum of one determines the velocity or momentum of the other; given the masses of both bodies, knowing the energy of one is sufficient to determine the energy of the other.
Why is Q a generalized potential energy storage element?
It is a generalized potential energy storage element. The displacement, q, plays the same role as the specific entropy and specific volume do for a pure thermodynamic substance: it is sufficient to define the energy in the system. By convention we will define Ep = 0 at q = 0 as shown in figure 4.1.