Dq-Transformed Error and Current Sensing Error Effects on Self-Sensing Control

This article presents propagation of current sensor error through dq-transform and the propagated error effect on high-frequency injection (HFI)-based self-sensing control. Three-phase ac systems use Clark and Park transform with a, b, c phase inputs for control purpose, i.e., dq-transform. When error exists in a, b, c inputs, e.g., due to quantization, gain, offset, noise, and others, the error propagates to d- and q-axes and dq-transform becomes inaccurate; therefore, the control performance degrades. Statistical models based on variance are developed for 2- and 3-channel based dq-transform. The error variance models are verified using the error probability density function (PDF) with uniformly distributed random inputs. It is shown that the error propagated in dq-axes and self-sensing control performance become rotor position-dependent, following the error variance model with error that exists in current inputs. It is shown that the error variance of 2-channel based dq-transform becomes three times higher on average compared to 3-channel based dq-transform. It is demonstrated that 3-channel based self-sensing control results in lesser position estimation error compared to 2-channel based self-sensing with a tradeoff in an additional sensor in the machine drive system.

Automated summary

This article explores the propagation of current sensor error through the dq-transform and its impact on high-frequency injection (HFI)-based self-sensing control. Statistical models based on variance are developed for 2- and 3-channel-based dq-transform, and their accuracy is verified using error probability density function (PDF) with uniformly distributed random inputs. The results show that the propagated error in the dq-axes is dependent on the rotor position and follows the error variance model. Additionally, the 3-channel based self-sensing control yields lower position estimation error compared to the 2-channel based self-sensing, albeit with the addition of an extra sensor in the machine drive system.