Closed-Form Solutions for Grid-Forming Converters: A Design-Oriented Study

被引:3
作者
Zhao, Fangzhou [1 ]
Zhu, Tianhua [1 ]
Harnefors, Lennart [2 ]
Fan, Bo [3 ]
Wu, Heng
Zhou, Zichao [3 ]
Sun, Yin [4 ]
Wang, Xiongfei [3 ]
机构
[1] Aalborg Univ, AAU Energy, DK-9220 Aalborg, Denmark
[2] ABB Corp Res, Vasteras SE-72226, Sweden
[3] KTH Royal Inst Technol, Elect Engn, Stockholm 11428, Sweden
[4] Shell Global Solut Int BV, Renewable Generat Technol, NL-2596 The Hague, Netherlands
来源
IEEE OPEN JOURNAL OF POWER ELECTRONICS | 2024年 / 5卷
关键词
Grid-connected converter; grid-forming control; stability; sub-synchronous resonance; synchronous resonance; RESONANCE; INVERTERS;
D O I
10.1109/OJPEL.2024.3357128
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper derives closed-form solutions for grid-forming converters with power synchronization control (PSC) by subtly simplifying and factorizing the complex closed-loop models. The solutions can offer clear analytical insights into control-loop interactions, enabling guidelines for robust controller design. It is proved that 1) the proportional gains of PSC and alternating voltage control (AVC) can introduce negative resistance, which aggravates synchronous resonance (SR) of power control, 2) the integral gain of AVC is the cause of sub-synchronous resonance (SSR) in stiff-grid interconnections, albeit the proportional gain of AVC can help dampen the SSR, and 3) surprisingly, the current controller that dampens SR actually exacerbates SSR. Controller design guidelines are given based on analytical insights. The findings are verified by simulations and experimental results.
引用
收藏
页码:186 / 200
页数:15
相关论文
共 29 条
[1]  
Denis G., 2017, Ph.D. Thesis
[2]   A Comparative Study of Two Widely Used Grid-Forming Droop Controls on Microgrid Small-Signal Stability [J].
Du, Wei ;
Chen, Zhe ;
Schneider, Kevin P. ;
Lasseter, Robert H. ;
Nandanoori, Sai Pushpak ;
Tuffner, Francis K. ;
Kundu, Soumya .
IEEE JOURNAL OF EMERGING AND SELECTED TOPICS IN POWER ELECTRONICS, 2020, 8 (02) :963-975
[3]   A Review of Current-Limiting Control of Grid-Forming Inverters Under Symmetrical Disturbances [J].
Fan, Bo ;
Liu, Teng ;
Zhao, Fangzhou ;
Wu, Heng ;
Wang, Xiongfei .
IEEE OPEN JOURNAL OF POWER ELECTRONICS, 2022, 3 :955-969
[4]   Model-based current control of AC machines using the internal model control method [J].
Harnefors, L ;
Nee, HP .
IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS, 1998, 34 (01) :133-141
[5]   Input-admittance calculation and shaping for controlled voltage-source converters [J].
Harnefors, Lennart ;
Bongiorno, Massimo ;
Lundberg, Stefan .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2007, 54 (06) :3323-3334
[6]   Modeling of three-phase dynamic systems using complex transfer functions and transfer matrices [J].
Harnefors, Lennart .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2007, 54 (04) :2239-2248
[7]   A Universal Controller for Grid-Connected Voltage-Source Converters [J].
Harnefors, Lennart ;
Kukkola, Jarno ;
Routimo, Mikko ;
Hinkkanen, Marko ;
Wang, Xiongfei .
IEEE JOURNAL OF EMERGING AND SELECTED TOPICS IN POWER ELECTRONICS, 2021, 9 (05) :5761-5770
[8]   Robust Analytic Design of Power-Synchronization Control [J].
Harnefors, Lennart ;
Hinkkanen, Marko ;
Riaz, Usama ;
Rahman, F. M. Mahafugur ;
Zhang, Lidong .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2019, 66 (08) :5810-5819
[9]   Optimized Design of Stationary Frame Three Phase AC Current Regulators [J].
Holmes, D. G. ;
Lipo, T. A. ;
McGrath, B. P. ;
Kong, W. Y. .
IEEE TRANSACTIONS ON POWER ELECTRONICS, 2009, 24 (11) :2417-2426
[10]  
Johnson A., 2021, Final Modification Rep. GC 0137