针对阻感电网下构网型变换器静态失稳机理复杂、最大有功传输能力评估难的问题，提出了一种基于“功率-电压向量”几何平面的有功传输极限解析分析方法，通过几何向量方式刻画出电气、控制多约束下的有功边界，直观揭示静态失稳机理并指导控制参数设计。具体地，首先基于电压平面刻画电压/电流及控制约束，并通过坐标升维将可行域投射至虚拟功率平面，再结合真实有功与虚拟功率之间的旋转投影关系，直观刻画阻感电网下的真实有功边界；进一步，给出适用不同电网强度、阻感比等多运行场景的最优控制参数几何优化方法，实现最大有功传输及参数配置；最后，基于离线仿真和硬件在环实验，对感性电网、阻感电网等典型场景下的静态失稳机理和有功极限进行了分析，验证了所提方法的正确性。

To address the complex static instability mechanisms and the difficulty in evaluating maximum active power transmission for grid-forming (GFM) converters in resistive-inductive (RL) grids, this paper proposes an analytical method based on \"Power-Voltage Vector\" geometric planes. This approach utilizes geometric vectors to characterize active power boundaries under multiple electrical and control constraints, providing an intuitive visualization of static instability mechanisms to guide control parameter design. Specifically, voltage/current and control constraints are first characterized in the voltage plane, and the feasible region is then lifted and projected onto the virtual power plane. Based on the rotational projection relationship between actual active power and virtual power, the actual active power boundary in RL grids can be intuitively characterized. Furthermore, a geometric optimization method for control parameters is developed for various operating scenarios, including different grid strengths and R/X ratios, to achieve maximum active power transmission and parameter configuration. Finally, offline simulations and hardware-in-the-loop (HIL) simulations are carried out under typical scenarios, such as inductive and RL grids, to analyze static instability mechanisms and active power limits, verifying the correctness of the proposed method.