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Mathematical solution to solve the minimum power point problem for DC circuits

机译:解决直流电路最小功率点问题的数学解决方案

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The use of the power functional in the analysis of the electric circuits makes it possible to appreciate the energetic equilibrium state attained in the circuit at a certain moment. The basic circuit laws of electric circuits in stationary regime are interpreted in this paper by defining suitable functional in terms of power for DC circuit. It is shown that the minimum power determined by taking the derivative of these functional verifies the first Kirchhoff's law. This allows interpreting the circuit equations by using the second Kirchhoff's law and the principle of minimum power. A mathematical solution is used in order to determine the minimum power point for DC circuits. Numerical algorithm is implemented by used Matlab for validate the theory.
机译:在电路分析中使用功率泛函使得有可能欣赏在某一时刻电路中达到的能量平衡状态。本文通过定义适用于直流电路功率的功能来解释固定状态下电路的基本电路定律。结果表明,通过取这些函数的导数确定的最小功效验证了第一基尔霍夫定律。这允许使用第二基尔霍夫定律和最小功率原理来解释电路方程。为了确定直流电路的最小功率点,使用了数学解决方案。通过使用Matlab实现数值算法来验证该理论。

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