یک اصل همه منظوره جدید برای تحلیل مدارهای خطی
Abstract
1- INTRODUCTION
2- THEOREM
3- EXAMPLE 1
4- EXAMPLE 2
5- CONCLUSION
REFERENCES
Abstract
A novel general-purpose theorem for the analysis of linear circuits is stated and proven in this paper. When applying the proposed theorem, any current (voltage) of interest is determined by finding first an equivalent voltage (current) and an equivalent resistance. Although two equivalent parameters have to be found to determine the variable of interest, these are evaluated in circuits that are simpler than the original one, thus resulting in a more straightforward analysis technique. Examples are provided to show the applicability and advantages of the proposed theorem.
INTRODUCTION
linear circuits can be analyzed applying different techniques. Two well-stablished and systematic techniques are the node-voltage and the mesh-current methods. However, the analysis can become easier and more intuitive by applying well-known theorems such as superposition, Thévenin, Norton, and maximum power transfer. These theorems were stated more than one hundred years ago, but they are still nowadays the main analysis tools explained in classical university textbooks about circuit analysis [1], [2]. Recently, Thévenin and Norton theorems have been re-explained to show, on the one hand, how powerful they are and, on the other hand, the misconceptions about them [3], [4]. Other theorems for circuit analysis, which are relatively more recent, can be found in the literature, but these are more specific than those indicated before. Some examples are: Millman’s theorem [5], Miller’s theorem [6], [7], extra-element theorem [8], cut-insertion theorem [9], [10], Foster’s theorem [11], and reciprocal power theorem [12].