The effective permittivity of composite materials depends highly on the geometry, the arrangement, and the permittivity of each component. This research proposes a new numerical method that takes into account those dependencies through assemblies of virtual capacitors (electrical circuit). Then, the effective permittivity is calculated from the equivalent capacity of the suggested circuits. The new presented method delimits the effective permittivity of heterogeneous materials through two obtained different summation expressions. This new method was applied to some inclusions to investigate its validity by comparing its results to the existing models and the results of the finite element method. The new results are shown in good agreement with the literature. Moreover, the presented model takes less time in simulation to estimate the effective permittivity compared to the finite element method. The new model can be applied to all kinds of composite materials including the ones that involve multiple phases and complex geometries.

复合材料的有效介电常数在很大程度上取决于每个组件的几何形状，排列和介电常数。这项研究提出了一种新的数值方法，该方法考虑了通过虚拟电容器（电路）的组装所产生的依赖性。然后，根据建议电路的等效电容计算有效介电常数。新提出的方法通过两个获得的不同求和表达式来界定异质材料的有效介电常数。通过将其结果与现有模型的结果以及有限元方法的结果进行比较，将该新方法应用于某些夹杂物以研究其有效性。显示的新结果与文献非常吻合。此外，与有限元方法相比，该模型在仿真中花费的时间更少，可以估算有效介电常数。新模型可以应用于各种复合材料，包括涉及多相和复杂几何形状的复合材料。