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浙江大学学报(工学版)
Journal of ZheJiang University (Engineering Science)  2019, Vol. 53 Issue (3): 589-597    DOI: 10.3785/j.issn.1008-973X.2019.03.021
Electrical Engineering     
Wide-area coordination control strategy for power system using multi-objective bat algorithm
Cheng ZHANG1,2(),Tao JIN2,Pei-qiang LI1,Hui-qiong DENG1
1. School of Information Science and Engineering, Fujian University of Technology, Fuzhou 350118, China
2. College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350116, China
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Abstract  

There is interaction between multiple power system stabilizers in the wide-area power grid, which affects the control effect of the whole system. Therefore, a coordinated design method of multi-objective wide area damping controller based on bat algorithm was proposed. This method made use of the population diversity of bat algorithm to keep the algorithm’s ability of continuous optimization in the iterative optimization process, which ensures that the algorithm has good convergence and accuracy. Taking the real part and damping ratio of the electromechanical oscillation mode as the objective function, the parameter optimization problem of the stabilizer of multi-machine power system was reduced to the multi-objective optimization problem with inequality constraint. The simulation results show that the proposed method can improve the eigenvalue distribution of the system’s weak electromechanical mode, effectively suppress the low frequency oscillation, and has good control effect and robustness.

Key words： multi-objective bat algorithm      objective function      electromechanical oscillation mode      damping controller      wide-area coordination control     
Received: 04 April 2018      Published: 04 March 2019
CLC:  TM 72  
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Cheng ZHANG
Tao JIN
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Hui-qiong DENG
Cite this article:

Cheng ZHANG,Tao JIN,Pei-qiang LI,Hui-qiong DENG. Wide-area coordination control strategy for power system using multi-objective bat algorithm. Journal of ZheJiang University (Engineering Science), 2019, 53(3): 589-597.

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http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2019.03.021     OR     http://www.zjujournals.com/eng/Y2019/V53/I3/589


采用多目标蝙蝠算法的电力系统广域协调控制策略

广域电网中多个电力系统稳定器之间存在相互作用，影响整个系统的控制效果，为此提出一种基于蝙蝠算法的多目标广域阻尼控制器协调设计方法. 该方法利用蝙蝠算法中种群的多样性，使得算法在迭代寻优过程中保持持续优化的能力，保证算法具有较好的收敛性和准确性；以机电振荡模态的实部和阻尼比为目标函数，将多机电力系统稳定器参数优化问题归结为带不等式约束的多目标优化问题. 分别在四机两区域系统和新英格兰典型系统的多种运行方式下进行仿真，结果表明：所提方法能够改善系统弱机电模式的特征值分布，有效抑制低频振荡，具有良好的控制效果和鲁棒性.


关键词： 多目标蝙蝠算法,  目标函数,  机电振荡模式,  阻尼控制器,  广域协调控制 
Fig.1 Conventional power system stabilizer （PSS）mathematical model
Fig.2 Expected region of objective function J in complex plane
测试函数 PSO BA
x* t/s x* t/s
f (x，y) 6.110 4×10?4 0.452 8 3.223×10?7 0.210 4
g (x，y) 8.322 5×10?4 0.507 4 3.825×10?7 0.238 5
Tab.1 Comparison of calculation results using bat algorithm （BA）and particle swarm optimization （PSO）algorithm
Fig.3 Wide-area coordinated control flow chart of multi-target BA
振荡模式 特征值 ζ / % f / Hz 主导机组
1 ?0.629 ± j7.368 0.084 1.173 G1
2 ?0.605 ± j7.218 0.083 1.149 G3
3 0.032 ± j3.995 ?0.012 0.636 G2，G3
Tab.2 Open-loop oscillation mode without PSS（Operation mode 1）
发电机 K T1/s T2/s
G1 20.12 0.211 0.102
G2 20.32 0.203 0.101
G3 20.24 0.216 0.101
Tab.3 Optimized PSS parameters with BA （Scheme A）
发电机 K T1/s T3/s
G1 17.504 0.914 0.266
G3 19.382 0.117 0.819
G2，G3（广域） 11.935 0.819 0.142
Tab.4 Optimized wide-area PSS parameters （Scheme B）
Fig.4 Signal curve for Speed change of generators G1 to G4 under disturbance
Fig.5 Power curve of tie-line under small disturbance
Fig.6 Signal curve for speed change of generators G1 to G4 under short-circuit fault
Fig.7 Tie-line power curve under short circuit fault
Fig.8 Distribution of eigenvalues with or without PSS
Fig.9 Diagram of New England system
振荡模式 运行方式Ⅰ′ 运行方式Ⅱ′ 运行方式Ⅲ′
特征值 ζ/% 特征值 ζ/% 特征值 ζ/%
1 ?0.077 2 ± j3.404 9 2.266 9 ?0.072 4 ± j3.285 2 2.204 0 ?0.021 3 ± j3.080 2 0.690 9
2 ?0.237 1 ± j5.779 3 4.098 5 ?0.201 5 ± j5.595 7 3.598 4 ?0.167 1 ± j5.542 6 3.012 8
3 ?0.209 1 ± j6.216 3 3.361 4 ?0.190 5 ± j5.903 8 3.224 6 ?0.260 6 ± j5.917 3 4.399 5
4 ?0.252 5 ± j6.855 4 3.680 8 ?0.285 1 ± j6.681 1 4.263 6 ?0.183 2 ± j6.225 4 2.941 6
5 ?0.208 6 ± j7.476 6 2.788 8 ?0.197 1 ± j7.455 1 2.643 3 ?0.199 5 ± j7.484 5 2.665 0
6 ?0.319 9 ± j8.131 1 3.931 0 ?0.320 7 ± j8.129 2 3.941 4 ?0.313 9 ± j8.017 6 3.912 7
7 ?0.297 2 ± j8.618 3 3.446 7 ?0.298 5 ± j8.596 5 3.470 7 ?0.289 4 ± j8.487 2 3.407 3
8 ?0.372 0 ± j8.841 2 4.203 8 ?0.372 5 ± j8.841 1 4.209 1 ?0.347 9 ± j8.779 1 3.959 4
9 ?0.694 5 ± j10.855 5 6.384 6 ?0.694 3 ± j10.851 2 6.385 2 ?0.690 1 ± j10.811 7 6.370 0
Tab.5 Eigenvalue of electromechanical mode without PSS in New England system
振荡模式 类型 f/Hz 参与机组
1 区间 0.542 （G10）vs（G1，G2，G3，G4，
G5，G6，G7，G8，G9）
2 区间 0.912 （G4，G5，G6，G7）vs（G2，G3），
（G1，G8，G9）
3 区间 0.988 （G2，G3） vs （G1，G8，G9）
4 本地 1.091 （G4） vs （G5，G6，G7）
5 本地 1.190 （G9） vs （G1，G8）
6 本地 1.294 （G2） vs （G3）
7 本地 1.372 （G4） vs （G5）
8 本地 1.407 （G6） vs （G7）
9 本地 1.728 （G1） vs （G8）
Tab.6 Modal analysis results of New England system
模式 PSS安装位置
（最大可控性） 		广域输入信号
（最大可观性）
1 G9 ${I_{9 \text{-} 39}}/{P_{9 \text{-} 39}},{\theta _{1 \text{-} 2}}$
2 G7 ${I_{3 \text{-} 18}}/{P_{3 \text{-} 18}},{I_{15 \text{-} 16}}/{P_{15 \text{-} 16}}$
3 G3 ${I_{9 \text{-} 39}}/{P_{9 \text{-} 39}},{I_{4 \text{-} 5}}/{P_{4 \text{-} 5}}$
Tab.7 Wide-area input signal and PSS location
发电机 K T1/s T3/s
G3 14.975 0.391 0.253
G7 13.203 0.530 0.363
G9 20.323 0.169 0.054
Tab.8 Optimized wide-area PSS parameters (Scheme A)
Fig.10 Response curves of generator and tie-line power （Operation mode I′）
Fig.11 Response curves of generator and tie-line power （Operation mode II′）
Fig.12 Eigenvalue distribution of electromechanical mode under three operation modes
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