[ Abstract] A graph theory model for the coupled planetary transmission system of hybrid electric vehicle is built, which is then described by the adjacent matrixes of coupled planetary mechanism and components, and the i-somorphic scheme of transmission system is judged by the output code of adjacent matrixes. With consideration of the moments of inertia of coupled planetary mechanism and all components, kinematics and dynamics analyses are conducted on the transmission systems with single and double row coupled planetary mechanism respectively based on graph theory model. These lay a foundation for subsequent performance analysis and transmission scheme optimi-zation.%建立了混合动力汽车行星耦合传动系统的图论模型。采用行星耦合机构邻接矩阵和构件邻接矩阵的组合来描述图论模型，并根据邻接矩阵输出编码来判断传动系统的同构方案。在考虑行星耦合机构和各构件的转动惯量的基础上，基于图论模型分别对单、双排行星耦合机构传动系统进行运动学和动力学分析，为后续性能分析和传动方案优选奠定了基础。
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