1. State Key Laboratory of Alternate Electrical Power System With Renewable Energy Sources (North China Electric Power University) Baoding 071003 China;
2. Key Laboratory of Distributed Energy Storage and Microgrid of Hebei Province (North China Electric Power University) Baoding 071003 China;
3. Xinxiang Power Supply Company of State Grid Xinxiang 453700 China
The vibration of flexible spring and power electronic equipment can cause multi-source harmonics in mechanical elastic energy storage (MEES) system. To solve the problems that mechanical side harmonics are difficult to be accurately modelled and the multi-source harmonics cannot be characterized and suppressed uniformly in the MEES system, a multi-source harmonics extraction and unified suppression method of permanent magnet synchronous motor (PMSM) is proposed for MEES system. Firstly, in allusion to the issues of overall characterization of multi-source harmonics, the speed and electromagnetic torque of PMSM are used as a bridge, and the characterization of multi-source harmonics is wholly modelled by using the motor speed harmonics. The expression of the relationship between multi-source harmonics and motor speed harmonics is derived from the motor rotor equation of motion, and the overall characterization of mechanical side harmonics and electrical side harmonics is realized. Then, in terms of multi-source harmonics information extraction for MEES systems, considering the existence of high and low frequency harmonic signal components in MEES system and the characteristic of low signal-to-noise ratio, a matrix pencil algorithm combined with singular value difference is proposed. The matrix called as Hankel is constructed by using the measured rotor speed containing noise. Subsequently, the singular value difference algorithm is utilized to find out the energy mutation point, and determine the maximum number of modes of the multi-source harmonic signals. Then, the multi-source harmonics information including different frequency components can be extracted accurately. Finally, to deal with the problem of multi-source harmonics suppression, based on the magnetic coenergy model of electromagnetic torque of PMSM and backstepping control, a unified suppression algorithm of multi-source harmonics under stator current vector orientation is designed to suppress the harmonics of different frequencies simultaneously.
To verify the control performance of multi-source harmonics suppression controller, simulations and prototype system test experiments are conducted, respectively. Simulation results show that the maximum error of high frequency harmonics information extracted is about 1%, and the maximum error of low frequency harmonics information extracted is about 5% by using the matrix pencil algorithm combined with singular value difference. The multi-source harmonics suppression algorithm reduces the low frequency harmonics content from 4% to 0.35% and the 6th harmonic content from 10.2% to 1%, which proves that the proposed algorithm has high accuracy of information identification and can satisfy the various needs of engineering applications.
The test experiments results of the prototype system show that, as the proposed controller is put into the MEES system, the angle $\theta_{\mathrm{L}}$. between the D-axis and the d-axis is stabilized near 90 degrees, and the static error is extremely small. In addition, the waveform of fundamental current vector amplitude is0 is smooth and there is virtually no fluctuations. The motor speed quickly converges to the reference with very small fluctuations when the system is running steadily, and the peak-to-peak value of torque pulsation ΔT does not exceed 0.1 N·m. It indicates that the designed controller can respond to the sudden change of motor speed quickly, and has good dynamic performance and stability. Also, the fluctuation of operating parameters is small. The practical operational performance of the MEES system has been dramatically improved.
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