A Novel Algorithm to Reduce Computational Complexity in the Evaluation of Loop Currents for Very Large Electrical Networks

In this rapid development of world, electronics is one topic which is on the top of the list. The reason for development of electronics is the need of fast results, which is only possible by developing better performance circuits. As the need increases the performance of any electronics should increase, which makes the electrical circuits more large and complex. Hence to design such complex and large circuits, large amount of calculations need to be done. By using Cramer's rule, unique scalar values of loop current can be found. But, the time consumed for calculations gets higher and higher as the circuit gets larger. Therefore, to minimize the time consumed for calculation various mathematical methods are used. Mathematical concepts like LU Decomposition, Condensation Techniques and other concepts to decrease the calculations required to loop currents. By comparing these various methods will help us to find the loop currents in fewer steps.