Distributed Prescribed-Time Consensus Based Cooperative Control for DC Microgrids

doi:10.16183/j.cnki.jsjtu.2022.050

Abstract

Abstract:

A microgrid control method based on prescribed time control is proposed to solve the cooperative control problem of distributed energy resources (DER) in DC microgrid. First, a current control method based on prescribed time control is proposed, which can allocate the power output of each DER proportionally within a pre-defined time. Meanwhile, the outlet voltage of each distributed power supply can be adjusted to be near the rated value and the observation value can be kept at the rated value. Then, the microgrid system is simulated through MATLAB/Simulink and the effectiveness of the proposed control strategy is verified in different working conditions. Afterward, the finite-time control strategy is established in the simulated system. A comparison of the conservative power quality of the system current with the estimated time of system convergence in the scheduled-time control strategy verifies the advantages of the proposed strategy.

Key words: direct current (DC) microgrids, droop control, distributed control, secondary control, prescribed-time consensus

CLC Number:

TM732

ZHOU Ruchang, WANG Ziqiang, WANG Jie. Distributed Prescribed-Time Consensus Based Cooperative Control for DC Microgrids[J]. Journal of Shanghai Jiao Tong University, 2023, 57(7): 824-834.

Figures/Tables 12

Tab.1

Comparison of HTHD of different control methods

控制方法	控制输入	H_THD/%
固定时间方法1^[22]	$y ·$ =-k₁sig(y $) p q$ -k₂sig(y $) 2 - p q$	23.32
固定时间方法2^[24]	$y ·$ =-k₁sig(y $) p q$ -k₂sig(y $) 2 - p q$ -k₃sgn(y)	17.17
固定时间方法3^[25]	$y ·$ =-k₁sig(y $) p q$ -k₂sig(y $) 2 - p q$ -k₃tanh(y)	22.13
预定时间方法参数1	T_p=0.05, b=60, k=2, α=3	9.12
预定时间方法参数2	T_p=0.3, b=30, k=2, α=3	16.93

Tab.1

Fig.1

Fig.2

Tab.2

Fig.3

Tab.3

Fig.4

Fig.5

Fig.6

Fig.7

Tab.4

Tab.5

Convergence time and accuracy of different control parameters

参数	T_r/s	$T - p$ /s	Z_Q/%
T_p=0.5, α =3, b=50	0.19	0.2	95
k₁=500, k₂=500, p=7, q=9	0.72	4.50	16
k₁=1 000, k₂=1 000, p=7, q=9	0.55	2.62	20.9
k₁=1 500, k₂=1 500, p=7, q=9	0.49	1.91	25.7
k₁=2 000, k₂=2 000, p=7, q=9	0.41	1.53	26.8
k₁=2 500, k₂=2 500, p=7, q=9	0.39	1.29	30.2
k₁=3 000, k₂=3 000, p=7, q=9	0.27	0.82	32.9

Tab.5

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方法	收敛时间与系统初值是否有关	函数抖振	收敛时间估计上限保守性	能否预先确定收敛时间
有限时间一致性	√	√	高	×
固定时间一致性	×	√	高	×
预定时间一致性	×	×	低	√

参数	取值	参数
DG控制器下垂系数k_i	0.2	直流母线额定电压/V	500
DC/DC滤波电容/mF	0.5	DC/DC滤波电感/mH	0.1
电流内环PI	K_P1=0.1	电压外环PI	K_P2=0.1
	K_I1=1		K_I2=1
电流补偿项PI	K_P3=0	电压补偿项PI	K_P4=1
	K₁₃=1		K₁₄=5

控制参数	H_THD
控制参数	t_smk= [0.5,3) s	t_smk= [3,6) s	t_smk= [6,8) s
T_p=0.5, α =3, b=50	1.02	0.49	1.42
T_p=0.2, α =3, b=50	0.89	0.48	1.42
k₁=500, k₂=500, p=7, q=9	1.53	0.50	2.05
k₁=1 000, k₂=1 000, p=7, q=9	1.61	0.50	2.31
k₁=1 500, k₂=1 500, p=7, q=9	1.64	0.50	2.52
k₁=2 000, k₂=2 000, p=7, q=9	1.68	0.52	2.64
k₁=2 500, k₂=2 500, p=7, q=9	1.93	0.64	2.68
k₁=3 000, k₂=3 000, p=7, q=9	1.95	0.66	2.78