Abstract
This paper proposes a fast dynamic DC-link voltage control strategy for dual three-phase permanent-magnet-assisted synchronous reluctance starter/generator (DTP-PMa-SRS/G) system. First, the model of a DTP-PMa-SRS/G is analyzed considering its asymmetric structure. A power balance strategy is adopted to solve the coupling problem between two sets of windings. Then the power model of the starter/generator system is analyzed considering the disturbance caused by inherent parameter uncertainty and external load variation. To improve the dynamic response performance of the DC-link voltage, an integral terminal sliding-mode DC-link voltage controller (ITSMVC) with an extended state observer (ESO) is proposed. The system stability is verified by Lyapunov theory. A simple parameter design method for the proposed ESO-ITSMVC is adopted to ensure satisfactory performance. Finally, a comparison of experimental results with the conventional ITSMVC, the active-disturbance rejection controller (ADRC), and the disturbance observer-ITSMVC (DO-ITSMVC) is carried out. The superior DC-link voltage dynamic response performance of the proposed method is verified.
Similar content being viewed by others
Abbreviations
- L s :
-
Inductance matrix of one set of windings
- L PP :
-
Self-inductance of one set of windings
- L 0, L 2 :
-
DC and 2nd harmonic components of the self-inductance of one set of windings
- θ P :
-
Phase angle of the AC self-inductance of one set of windings
- θ e :
-
Electrical angle
- L XY (X, Y = A, B, C):
-
Mutual inductance between phase X and phase Y for one set of windings (when X ≠ Y). Self-inductance for one set of winding (when X = Y)
- M 01, M 02 :
-
Average components of the mutual inductance
- L 21 :
-
2Nd harmonic component of the mutual inductance between phase A/B and phase C (for one set of windings)
- L 22 :
-
2Nd harmonic component of the mutual inductance between phase A and phase B (for one set of windings)
- L dq 12, L dq 21 :
-
Mutual inductance matrix between two sets of windings
- L dq 11, L dq 22 :
-
Inductance matrix of one set of windings
- L a, L b, L c :
-
Self-inductance of phases A, B, and C
- \(L_{d}^{equ} ,L_{q}^{equ} ,L_{dq}^{equ}\) :
-
Equivalent inductance matrix of the motor in the d-axis and the q-axis
- u dq 1, u dq 2, u dq :
-
Voltage matrixes of two sets of windings and the equivalent voltage matrix in the dq-axis
- i dq 1, i dq 2, i dq :
-
Current matrixes of two sets of windings and the total current matrix in the dq-axis
- R s :
-
Phase resistance of the motor
- R L :
-
Load resistance
- ψ m :
-
Rotor permanent flux
- ω e, ω n :
-
Electrical and mechanical angular speed
- N :
-
Pole pair numbers of the motor
- T e :
-
Electromagnetic torque of the motor
- u dc :
-
DC-link voltage
- C, C 0, ΔC :
-
Real value, nominal value, and difference of DC-link capacitor
- f in, f ex, f all :
-
Internal, external, and total disturbance of the DTP-PMa-SRS/G system
- c, γ, η :
-
Positive coefficients of the sliding-mode control
- β 1, β 2 :
-
Positive coefficients of the ESO
References
Nøland, J.K., Leandro, M., Suul, J.A., Molinas, M.: High-power machines and starter-generator topologies for more electric aircraft: a technology outlook. IEEE Access 8, 130104–130123 (2020)
Sarlioglu, B., Morris, C.T.: More electric aircraft: review, challenges, and opportunities for commercial transport aircraft. IEEE Trans. Transport. Electrific. 1(1), 54–64 (2015)
Meng, T., Liu, W., Jiao, N., Han, X., Wang, R., Jiang, Y.: Rotor position estimation for aviation three-stage starter/generators in the low-speed region without high-frequency signal injection. IEEE Trans. Power Electron. 35(8), 8405–8416 (2020)
Zhou, X., Zhou, B., Wang, K., Zhang, L., Zhao, Y.: Two-step rotor position estimation method for doubly salient electromagnetic starter-generator over zero and low speeds range. IEEE J. Emerg. Select. Topics Power Electron. 9(3), 2664–2673 (2021)
Wang, J., Wei, J., Zhang, L., Hu, C., Zhang, Z., Zhou, B.: Improved rotor position estimation method for brushless synchronous starter/generator based on field harmonic signals self-injection scheme. IEEE Trans. Transport. Electrific. 9(2), 3375–3385 (2023)
Pang, J., Liu, W., Jiao, N., Wang, J., Ma, P.: Calculation of cross-coupling inductance and electromagnetic torque in wound-rotor synchronous starter/generator. IEEE Trans. Industr. Electron. 66(7), 5115–5123 (2019)
Song, S., Hei, R., Ma, R., Liu, W.: Model predictive control of switched reluctance starter/generator with torque sharing and compensation. IEEE Trans. Transport. Electrific. 6(4), 1519–1527 (2020)
J. Borg-Bartolo, M. Degano, J. Espina and C. Gerada (2017) "Design and initial testing of a high-speed 45-kW switched reluctance drive for aerospace application." IEEE Trans. Indust. Electron. 64(2), 988–997
Zhang, Z., Huang, J., Jiang, Y., Geng, W., Xu, Y.: Overview and analysis of PM starter/generator for aircraft electrical power systems. CES Trans. Electr. Mach. Syst. 1(2), 117–131 (2017)
Kulan, M.C., Baker, N.J., Widmer, J.D.: Design and analysis of compressed windings for a permanent magnet integrated starter generator. IEEE Trans. Ind. Appl. 53(4), 3371–3378 (2017)
Zhao, M., Liu, G., Chen, Q., Zhao, W., Lee, C.H.T.: Fault-tolerant control of a triple redundant PMa-SynRM driven under single-phase open-circuit by mono-inverter. IEEE Trans. Power Electron. 36(10), 11593–11605 (2021)
Trancho, E., et al.: PM-assisted synchronous reluctance machine flux weakening control for EV and HEV applications. IEEE Trans. Industr. Electron. 65(4), 2986–2995 (2018)
Wang, B., Wang, J., Griffo, A., Shi, Y.: Investigation into fault-tolerant capability of a triple redundant PMA SynRM drive. IEEE Trans. Power Electron. 34(2), 1611–1621 (2019)
Guo, H., et al.: Design of an aviation dual-three-phase high-power high-speed permanent magnet assisted synchronous reluctance starter-generator with antishort-circuit ability. IEEE Trans. Power Electron. 37(10), 12619–12635 (2022)
Liu, Z., Fan, X., Kong, W., Cao, L., Qu, R.: Improved small-signal injection-based online multiparameter identification method for IPM machines considering cross-coupling magnetic saturation. IEEE Trans. Power Electron. 37(12), 14362–14374 (2022)
Gao, F., Zheng, X., Bozhko, S., Hill, C.I., Asher, G.: Modal analysis of a PMSG-based DC electrical power system in the more electric aircraft using eigenvalues sensitivity. IEEE Trans. Transport. Electrific. 1(1), 65–76 (2015)
Zhang, X., Yang, J.: A robust flywheel energy storage system discharge strategy for wide speed range operation. IEEE Trans. Industr. Electron. 64(10), 7862–7873 (2017)
Huang, J., Zhang, Z., Han, J., Jiang, W.: Dynamic performance improvement for permanent magnet generator system using current compensating method with two-degrees-of-freedom control. IEEE Trans. Industr. Electron. 68(4), 2823–2833 (2021)
Xu, Y., Zhang, Z., Bian, Z., Yu, L.: Dynamic performance improvement of doubly salient brushless DC generator system with controlled rectifier. IEEE Trans. Industr. Electron. 67(10), 8209–8218 (2020)
Zhang, X., Yang, J.: A DC-link voltage fast control strategy for high-speed PMSM/G in flywheel energy storage system. IEEE Trans. Ind. Appl. 54(2), 1671–1679 (2018)
Lang, X., Yang, T., Bai, G., Bozhko, S., Wheeler, P.: Active disturbance rejection control of DC-bus voltages within a high-speed aircraft electric starter/generator system. IEEE Trans. Transport. Electrific. 8(12), 4229–4241 (2022)
Han, J.: From PID to active disturbance rejection control. IEEE Trans. Industr. Electron. 56(3), 900–906 (2009)
Xu, B., Zhang, L., Ji, W.: Improved non-singular fast terminal sliding mode control with disturbance observer for PMSM drives. IEEE Trans. Transport. Electrific. 7(12), 2753–2762 (2021)
Li, Z., Wu, L., Chen, Z., Shi, Y., Qiu, L., Fang, Y.: Single- and two-phase open-circuit fault tolerant control for dual three-phase PM motor without phase shifting. IEEE Access 8, 171945–171955 (2020)
Zhang, W., Xu, Y., Huang, H., Zou, J.: Vibration reduction for dual-branch three-phase permanent magnet synchronous motor with carrier phase-shift technique. IEEE Trans. Power Electron. 35(6), 607–618 (2020)
Dianov, A., Anuchin, A., Bodrov, A.: Robust MTPA control for steady-state operation of low-cost IPMSM drives. IEEE J. Emerg. Select. Topics Industr. Electron. 3(2), 242–251 (2022)
Bedetti, N., Calligaro, S., Olsen, C., Petrella, R.: Automatic MTPA tracking in IPMSM drives: loop dynamics, design, and auto-tuning. IEEE Trans. Ind. Appl. 53(9), 4547–4558 (2017)
Dianov, A., Tinazzi, F., Calligaro, S., Bolognani, S.: Review and classification of MTPA control algorithms for synchronous motors. IEEE Trans. Power Electron. 37(4), 3990–4007 (2022)
Qu, J., Jatskevich, J., Zhang, C., Zhang, S.: Torque ripple reduction method for permanent magnet synchronous machine drives with novel harmonic current control. IEEE Trans. Energy Convers. 36(3), 2502–2513 (2021)
Funding
This research was supported by National Natural Science Foundation of China (Grant 51977095) Basic and Applied Basic Research Foundation of Guangdong Province (Grant 2021B1515120044).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
On behalf of all authors, the corresponding author states that there are no competing interests.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Hao, S., Li, Z., Tan, Y. et al. Fast dynamic DC-link voltage control strategy for dual three-phase PM-assisted synchronous reluctance starter/generator system. J. Power Electron. (2024). https://doi.org/10.1007/s43236-024-00842-0
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s43236-024-00842-0