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

机译:解决直流电路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:在电路的分析中使用功率功能使得可以理解在某个时刻在电路中获得的能量平衡状态。通过在DC电路的电力方面定义合适的功能,在本文中解释了静止制度中电路的基本电路规律。结果表明,通过采用这些功能的衍生物来确定的最小功率验证了第一个基尔霍夫的定律。这允许通过使用第二个Kirchhoff的定律和最小功率原理来解释电路方程。使用数学解决方案以确定DC电路的最小功率点。使用MATLAB实现数值算法,用于验证理论。

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