Research on Model Reduction of Direct Drive Wind Farm Subsynchronous Oscillation Analysis Based on Alternating Direction Implicit Balanced Truncation Method

doi:10.12096/j.2096-4528.pgt.22009

Abstract

Abstract:

A reduced order model for subsynchronous oscillation analysis of direct drive wind farm was studied, and a balanced truncation method based on alternating direction implicit (ADI) was proposed. Firstly, the mathematical model of wind farm was built according to the mathematical representation of direct-driven permanent magnet synchronous wind turbine. The ADI method was used to solve the Lyapunov equation iteratively, and the controllable and observable Gramm matrixs were obtained. Then, the balanced truncation method was used to obtain the reduced order model. The time domain simulation waveform, Bode diagram, calculation time and subsynchronous oscillation mode of the full order model and the reduced order model were compared to verify the effectiveness of the proposed method. The simulation results show that the reduced order model has good consistency with the full order model, and the calculation speed is improved and the number of reduced order is greatly reduced.

Key words: direct drive wind farm, alternating direction implicit (ADI), subsynchronous oscillation, model reduction, balanced truncation method

CLC Number:

TK 81

Jinzhao WANG, Gangui YAN, Kan LIU. Research on Model Reduction of Direct Drive Wind Farm Subsynchronous Oscillation Analysis Based on Alternating Direction Implicit Balanced Truncation Method[J]. Power Generation Technology, 2023, 44(6): 850-858.

Figures/Tables 11

Fig. 1 Diagram of direct drive permanent magnet synchronous wind power system

Fig. 2 Control block diagram of generator side converter

Fig. 3 Control block diagram of grid side converter

Fig. 4 Hankel singular value of wind farm

Fig. 5 Wind farm simulation wiring diagram

Tab. 1 Direct drive wind turbine parameters

参数	数值
风电机组额定功率P/kW	1 500
风电机组额定电压U/kV	0.69
直流电容C/F	0.1
直流电压U_dc/kV	1.2
发电机惯性时间常数H_s/s	2

Tab. 2 Wind farm model parameters

模型参数	数值
风速v/(m/s)	4~8
集电线路电感L_s/H	0.4
短路比	1.47
出口变压器短路电压百分比%	14
机端变压器短路电压百分比%	7

Fig. 6 Bode diagram of full order system and reduced-order system

Fig. 7 Comparison of eigenvalues of 6th order and full order systems

Fig. 8 Comparison of time-domain waveforms of 6th order and full order systems

Tab. 3 Comparison between reduced order model and full order model

模型	模型阶数	仿真时间/s
降阶模型	6	1.2
全阶模型	1 200	243.0

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