AI 中文总结
研究生产型电驱动中低阶转子耦合NVH问题，利用磁共能等构建框架，通过有限时间Gramian评估可观测性与可达性，发现磁链灵敏度是瓶颈，引入载波诱导有源投影解决问题，数值研究展示了框架计算结构。
AI 中文摘要
本文受生产型电驱动负载下实际转子耦合二阶NVH问题的启发。生产控制器通常缺乏对转子振动、气隙变形或壳体加速度的直接测量。核心问题是能否仅使用dq电流、电压指令、旋转变压器角度和旋转变压器速度来推断或影响机械上重要的低阶振动。所选振动分量在基于磁共能的机电状态空间模型中表示为等效气隙变形模式。有限时间Gramian评估基于电流的可观测性、基于旋转变压器的可观测性以及系统级电压到气隙的可达性。分析确定磁链灵敏度是无源电流可观测性和无源电压可达性的共同瓶颈，而旋转变压器可观测性取决于单独的转矩投影条件。为解决这一退化问题，本文引入载波诱导有源投影。一个可实现的电磁载波可以创建额外的测量和力投影，实现载波开启时的可观测性、可达性以及生产残差中的边带特征。两项数值研究检验了48槽、8极对称模型中的无源低阶投影以及有限窗口噪声和近阶干扰泄漏下的边带可检测性。它们展示了该框架的计算结构，但不构成有限元校准电机验证。
英文摘要
This paper is motivated by a practical rotor-coupled Order-2 NVH problem observed under load in a production electric drive. Production controllers typically lack direct measurements of rotor vibration, air-gap deformation, or housing acceleration. The central question is therefore whether a mechanically important low-order vibration can be inferred or influenced using only dq currents, voltage commands, resolver angle, and resolver speed. The selected vibration component is represented as an equivalent air-gap deformation mode in a magnetic co-energy-based electromechanical state-space model. Finite-time Gramians evaluate current-based observability, resolver-based observability, and plant-level voltage-to-air-gap reachability. The analysis identifies flux-linkage sensitivity as the common bottleneck for passive current observability and passive voltage reachability, while resolver observability depends on a separate torque-projection condition. A mechanically significant deformation may thus remain first-order invisible to passive dq signals because production measurements observe a winding-level global projection rather than local air-gap flux redistribution. To address this degeneracy, the paper introduces carrier-induced active projection. A realizable electromagnetic carrier may create additional measurement and force projections, enabling carrier-on observability, reachability, and sideband signatures in production residuals. Two numerical studies examine passive low-order projection in a 48-slot, 8-pole symmetry proxy and sideband detectability under finite-window noise and near-order disturbance leakage. They demonstrate the computational structure of the framework but do not constitute FEM-calibrated motor validation.
Comments29 pages, 4 figures
