含功率扰动电力系统混沌振荡的动态滑模控制

doi:10.11959/j.issn.1000-436x.2019005

摘要/Abstract

摘要：

随着电力行业的飞速发展，电力系统中出现极具危害的混沌振荡可能性增大，维持电力系统稳定的重要性日益突出。通过建立含功率扰动项的四阶电力系统模型，对 Lyapunov 指数、分岔图和谱熵等进行分析，讨论了功率扰动项的加入对电力系统运动状态的影响。同时，基于具有继电特性的切换函数设计了一种动态面滑模控制器，仿真结果表明该控制器在快速平滑抑制系统混沌振荡的同时，能够有效避免抖振问题，并且具有较强的顽健性。

关键词: 功率扰动, 分岔图, 混沌振荡, 动态面滑模控制

Abstract:

With the rapid development of the power industry,the possibility of chaotic oscillation increases in the power system,and the importance of maintaining the stability of the power system is prominent.Through a fourth-order power system model with power perturbation term built,the Lyapunov exponent spectrum,bifurcation diagram and spectral entropy were analyzed,respectively.The influence of power disturbance terms on power system motion was discussed in detail.Moreover,a dynamic surface sliding mode controller was designed based on the switching function with relay characteristics.Simulation results show that the controller can suppress the chaotic oscillation quickly and smoothly,and effectively avoid chattering and own strong robustness.

Key words: power disturbance, bifurcation diagram, chaotic oscillation, dynamic surface sliding mode control

中图分类号:

TM712

闵富红,马汉媛,王耀达. 含功率扰动电力系统混沌振荡的动态滑模控制[J]. 通信学报, 2019, 40(1): 119-129.

Fuhong MIN,Hanyuan MA,Yaoda WANG. Surface sliding mode controller for chaotic oscillation in power system with power disturbance[J]. Journal on Communications, 2019, 40(1): 119-129.

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参数名称	数值
同步电机基频（f₀）	60
传输线路电抗（x）	0.5
发电机态电抗（x_d）	1
励磁限制器电压参考值（E_fd0）	2
等值转动惯量（H）	5
发电机暂态电抗（x_d′）	0.4
母线电压参考量（V_ref ）	1.05
励磁限制器电压最小值（E_fdmin）	0
无穷大母线电压（V₀）	1
发电机定子时间常数（T_d0′ ）	10
励磁时间常数（T_A）	1
励磁限制器电压最大值（E_{fd max}）	5
注：表中各参数均取标幺值。

P_e	LE	系统运行状态
0.123 7	(0,0,-0.064 6,-0.272 3,-1.036 4)	拟周期
0.225 0	0.0762 0,-0.021 7,-0.288 2,-0.570	混沌

f₁	LE	系统运行状态
0.420 0	(0,-0.046 9,-0.049 1,-0.233 6,-1.037 1)	周期
0.800 0	(0.083 8,0,-0.032 9,-0.261 2,-1.156 4)	混沌
0.850 0	(0,-0.051 7,-0.131 0,-0.138 9,-1.045 1)	周期
0.900 0	(0.077 3,0,-0.019 6,-0.213 8,-1.210 7)	混沌
1.268 0	(0,-0.026 6,-0.197 2,-0.205 0,-0.938 0)	周期

P_k	LE	运行状态
0.090 3	(0,0,-0.100 3,-0.218 2,-1.073 9)	拟周期
0.170 3	(0,-0.062 8,-0.128 7,-0.222 7,-0.966 0)	周期
0.218 0	(0.216 7,0,-0.124 2,-0.246 1,-1.050 5)	混沌

f₂	LE	运行状态
0.500 0	(0,0,-0.068 6,-0.453 4,-0.847 2)	拟周期
0.750 0	(0,-0.062 0,-0.072 4,-0.106 6,-1.125 7)	周期
0.800 0	(0.063 7,0,-0.027 4,-0.250 5,-1.152 5)	混沌
0.850 0	(0,-0.112 2,-0.114 4,-0.168 6,-0.971 6)	周期
0.900 0	(0.100 4,0,-0.028 1,-0.250 3,-1.188 7)	混沌
1.270 0	(0,-0.130 5,-0.163 6,-0.167 9,-0.904 7)	周期