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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Coenergy ： ウィキペディア英語版 Coenergy In physics and engineering, Coenergy (or co-energy) is a non-physical quantity, measured in energy units, used in theoretical analysis of energy in physical systems.〔U.A. Bakshi, M.V. Bakshi, Electrical Machines - I, Technical Publications Pune, India, May 2006, ISBN 81-8431-225-3, page 11〕 The concept of co-energy can be applied to many conservative systems (inertial mechanical, electromagnetic, etc.), which can be described by a linear relationship between the input and stored energy. The co-energy analysis techniques cannot be applied to non-linear systems. However, small nonlinearities are often neglected by linearisation of the problems. == Example - magnetic coenergy == In a system with a single coil and non-moving armature no mechanical work is done. Hence, all of the electric energy supplied to the device is stored in the magnetic field.〔 ::$dW\_\; =\; dW\_\; ~~~~~~~~\; (dW\_\; =\; 0)\; \backslash ;$ where (''e'' - voltage, ''i'' - current and $\backslash lambda$ - flux linkage): ::$dW\_\; =\; e\; ~\; i\; ~\; dt\; \backslash ;$ ::$dW\_\; =\; i\; ~\; d\backslash lambda\; \backslash ;$ therefore ::$dW\_\; =\; e\; ~\; i\; ~\; dt\; =\; i\; ~\; d\backslash lambda\; \backslash ;$ For a general problem the relationship $i-\backslash lambda$ is non-linear (see also magnetic hysteresis). If there is a finite change in flux linkage from one value to another (e.g. from $\backslash lambda\_1$ to $\backslash lambda\_2$) can be calculated as: ::$\backslash Delta\; W\_\; =\; \backslash int\_^\; i(\backslash lambda)\; ~\; d\backslash lambda\; \backslash ;$ (If the changes are cyclic there will be losses for hysteresis and eddy currents. The additional energy for this would be taken from the input energy, so that the flux linkage to the coil is not affected by the losses and the coil can be treated as an ideal lossless coil. Such system is therefore conservative.) For calculations either the flux linkage $\backslash lambda$ or the current ''i'' can be used as the independent variable. The total energy stored in the system is equal to the area OABO, which is in turn equal to OACO, therefore: ::$Energy\; =\; area\; ~\; OABO\; =\; W\_\; =\; \backslash int\_^\; i(\backslash lambda)\; ~\; d\backslash lambda\; \backslash ;$ ::$Coenergy\; =\; area\; ~\; OACO\; =\; W\text{'}\_\; =\; \backslash int\_^\; \backslash lambda(i)\; ~\; di\; \backslash ;$ For linear lossless systems the coenergy is equal in value to the stored energy. the coenergy has no real physical meaning, but it is useful in calculating mechanical forces in electromagnetic systems. To distinguish it from the "real" energy in calculations it is usually marked with an apostrophe. The total area of the rectangle OCABO is equal to the sum of the two triangles (energy + coenergy), so: ::$area\; ~\; OCABO\; =\; area\; ~\; OABO\; +\; area\; ~\; OACO\; \backslash ;$ Hence for at a given operating point with current ''i'' and flux linkage $\backslash lambda$: ::$Energy\; (W)\; +\; Coenergy\; (W\text{'})\; =\; i\; \backslash lambda\; \backslash ;$ The self inductance is defined as flux linkage over current: ::$L\; =\; \backslash frac$ and the energy stored in a coil is: ::$W\_\; =\; \backslash frac\; \backslash frac\; =\; \backslash frac\; ~\; L\; ~\; i^2$ It should also be noted that in a magnetic circuit with a movable-armature the inductance ''L(x)'' will be a function of position ''x''. It can be therefore written that the field energy is a function of two mathematically independent variables $\backslash lambda$ and ''x'': ::$W(\backslash lambda,x)\_\; =\; \backslash frac\; ~\; \backslash frac$ And coenergy is a function of two independent variables ''i'' and ''x'': ::$W\text{'}(i,x)\_\; =\; \backslash frac\; ~\; L(x)\; ~\; i^2$ The last two expressions are general equations for energy and coenergy in magnetostatic system. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Coenergy」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.