Heterogeneous triangular network composed of resistors, capacitors and inductors gives a genuine electrical model for analyzing many engineering and physical problems. Here, we discuss various designs of RLC electrical circuits possessing a triangular topology. The theoretical formulation uses the WCIP technique. The proposed method rests on the definition of the incident and reflected waves from the voltage and current on each circuit branch. The use of the auxiliary source concept makes the execution of the employed technique simple and increments the capacity and effectiveness of the strategy for treating more intricate circuits. The mathematical formulation is subdivided into two definition domains: a spatial domain expresses the network architecture and imposes the boundary conditions, and a spectral one which characterizes the periodicity laws and describes the coupling of the electrical elements. The relationships formulated are resolved by an iterative process where the spectral and spatial equations are repeated up to the convergence. In numerical example, the results obtained by the WCIP method, for a resistors network of triangular topology, show good conformance with the analytical solutions. The method has also demonstrated its performances for investigating various designs of heterogeneous RLC lattice with triangular topology including the heterogeneous RL, RC and RLC circuits, perturbed RC circuits and a composite RLC circuit excited by vertical and horizontal lumped sources.

由电阻器，电容器和电感器组成的异构三角网络为分析许多工程和物理问题提供了真正的电气模型。在这里，我们讨论具有三角形拓扑的RLC电路的各种设计。理论公式使用WCIP技术。所提出的方法基于每个电路分支上的电压和电流的入射波和反射波的定义。辅助源概念的使用使所采用技术的执行变得简单，并增加了用于处理更复杂电路的策略的能力和有效性。数学公式可细分为两个定义域：空间域表示网络架构并施加边界条件，光谱之一，表征周期性定律并描述电气元件的耦合。通过迭代过程解决了公式化的关系，在该过程中，光谱和空间方程一直重复到收敛。在数值示例中，对于三角形拓扑的电阻器网络，通过WCIP方法获得的结果显示出与解析解的良好一致性。该方法还证明了其用于研究具有三角拓扑的异构RLC晶格的各种设计的性能，其中包括异构RL，RC和RLC电路，扰动RC电路以及由垂直和水平集总源激励的复合RLC电路。通过迭代过程解决了公式化的关系，在该过程中，光谱和空间方程一直重复到收敛。在数值示例中，对于三角形拓扑的电阻器网络，通过WCIP方法获得的结果显示出与解析解的良好一致性。该方法还证明了其用于研究具有三角拓扑的异构RLC晶格的各种设计的性能，其中包括异构RL，RC和RLC电路，扰动RC电路以及由垂直和水平集总源激励的复合RLC电路。通过迭代过程解决了公式化的关系，在该过程中，光谱和空间方程一直重复到收敛。在数值示例中，对于三角形拓扑的电阻器网络，通过WCIP方法获得的结果显示出与解析解的良好一致性。该方法还证明了其用于研究具有三角拓扑的异构RLC晶格的各种设计的性能，其中包括异构RL，RC和RLC电路，扰动RC电路以及由垂直和水平集总源激励的复合RLC电路。