Fuel injection stability of high-pressure common rail fuel injection system (HPCRFIS) under multiple injection modes is a recognized technical problem. To explain it essentially, a numerical model based on bond graph method, which provides a standardized series of symbol system to describe various components in different physical fields as well as interactive effect analysis tool for different energy categories, was used to investigate the problem. As HPCRFIS is a typical nonlinear system with multi-physical coupling, it is very difficult to analyze system stability directly. Therefore, the system was linearized at typical moments. The system matrix for each typical moment was obtained thereby. To investigate the influential mechanism of system stability deeply, the variations of rank and eigenvalues distributions of state matrices were analyzed. The results show that the rank of state matrices changes abruptly when the needle or control valve moves. In terms of system stability, the oscillation characteristics are subject to the movement of needle or control valve. The ending of the former injection causes the system to show damping oscillation characteristics before the latter injection starts. The motion of control valve makes more contribution to system stability than that of needle, which could be concluded by Lyapunov stability criterion.

高压共轨燃油喷射系统（HPCRFIS）在多种喷射方式下的燃油喷射稳定性是公认的技术问题。为了进行本质上的解释，使用了基于键合图方法的数值模型来研究该问题，该模型提供了一个标准化的符号系统系列，用于描述不同物理领域中的各个组成部分以及用于不同能量类别的交互效应分析工具。由于HPCRFIS是具有多物理耦合的典型非线性系统，因此直接分析系统稳定性非常困难。因此，系统在典型时刻被线性化。由此获得每个典型时刻的系统矩阵。为了深入研究系统稳定性的影响机制，分析了状态矩阵的秩和特征值分布的变化。结果表明，当针阀或控制阀移动时，状态矩阵的等级会突然变化。就系统稳定性而言，振荡特性取决于针阀或控制阀的运动。前一个喷射的结束使系统在后一个喷射开始之前显示阻尼振荡特性。控制阀的运动比针阀对系统的稳定性有更大的贡献，这可以通过李雅普诺夫稳定性判据得出结论。前一次喷射的结束使系统在后一次喷射开始之前显示阻尼振荡特性。控制阀的运动比针阀对系统的稳定性有更大的贡献，这可以通过李雅普诺夫稳定性判据得出结论。前一个喷射的结束使系统在后一个喷射开始之前显示阻尼振荡特性。控制阀的运动比针阀对系统的稳定性有更大的贡献，这可以由李雅普诺夫稳定性判据得出结论。