Unformatted text preview: not equal. An example of electrical nonlinearity is shown in Fig. 3.1.8b. Energy and coenergy have the same numerical values in an electrically linear system. We have, however, consistently made use ofthe energy expressed as a function of (q, x) or (A, x) and the coenergy expressed as a function of (v, x) or (i, x). These functions are quite different in mathematical form, even when the system is electrically linear [compare (3.1.50) and (3.1.53)]. A word of caution is called for at this point. A partial derivative is taken with respect to one independent variable holding the other independent variables fixed. In order for this process to be correct, it is easiest to perform the differentiation when the function to be differentiated is written without explicit dependence on dependent variables. To be more specific, consider ,X) A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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- Fall '11
- Derivative, Linear system, Nonlinear system, watermark Lumped-Parameter Electromechanics