Design for Interference Suppression Intelligent
Controller Based on Minimax Theory
Ling Chang
1,2(&) , Chaoying Shan
1,2 , and Huifang Wei
1
1 Information & Control Engineering Faculty, Shenyang Urban Construction
University, Shenyang 110167, China
changling0321@163.com
2 Information & Control Engineering Faculty, Northeastern University,
Shenyang 110004, China
Abstract. This paper focuses on modifying generalized Hamilton systembased minimax theory for solving the interference suppression of multi-machine
power systems with coupling performance. The system determines the interference suppression controller and reduces the conservatism of the traditional
method by calculating the worst interference degree. The results of simulation
show that this method and control strategy can make the system state converge
to the initial equilibrium point rapidly under the influence of large disturbance to
effectively improve the transient stability performance of power system.
Keywords: Hamilton Á Minimax theory Á Multi-machine power systems
1 Introduction
With the development trend of the power system with large scale, it is very important to
study the stability and anti-interference ability of multi-machine power system. With the
further study of power system by scholars, the robust control of power system by
Hamilton theory is well applied and realized. Literature [1] gives the sufficient conditions which can generalize dissipative Hamilton to the simple power system. Then, the
Lyapunov function is given based on the energy function which obtains the local
dissipative Hamilton implementation of dual-machine system. Literature [2] proposed
an improved Hamilton system for the Hamilton implementation problem of NDAS. The
energy shaping of H function was carried out by reconstructing the system structure
matrix, and the design method of stabilization controller was presented. Literature [3, 4]
combines the generalized Hamilton energy theory to design the power system controller.
Literature [5] establishes the generalized Hamilton model of multi-machine power
system with two cases; the first case does not consider the transfer conductance while the
other case considers both self-admittance and mutual admittance. But it is without
considering the mutual conductance, which is considering that G ij is equal to 0. Literature [6] provides the improved Hamilton system structure considering mutual conductance, which is called pseudo-generalized Hamilton system. Many scholars have
The National Natural Science Foundation of China (Grant No. 61773108).
© Springer Nature Singapore Pte Ltd. 2020
Q. Liang et al. (Eds.): Artificial Intelligence in China, LNEE 572, pp. 506–513, 2020.
https://doi.org/10.1007/978-981-15-0187-6_60
Controller Based on Minimax Theory
Ling Chang
1,2(&) , Chaoying Shan
1,2 , and Huifang Wei
1
1 Information & Control Engineering Faculty, Shenyang Urban Construction
University, Shenyang 110167, China
changling0321@163.com
2 Information & Control Engineering Faculty, Northeastern University,
Shenyang 110004, China
Abstract. This paper focuses on modifying generalized Hamilton systembased minimax theory for solving the interference suppression of multi-machine
power systems with coupling performance. The system determines the interference suppression controller and reduces the conservatism of the traditional
method by calculating the worst interference degree. The results of simulation
show that this method and control strategy can make the system state converge
to the initial equilibrium point rapidly under the influence of large disturbance to
effectively improve the transient stability performance of power system.
Keywords: Hamilton Á Minimax theory Á Multi-machine power systems
1 Introduction
With the development trend of the power system with large scale, it is very important to
study the stability and anti-interference ability of multi-machine power system. With the
further study of power system by scholars, the robust control of power system by
Hamilton theory is well applied and realized. Literature [1] gives the sufficient conditions which can generalize dissipative Hamilton to the simple power system. Then, the
Lyapunov function is given based on the energy function which obtains the local
dissipative Hamilton implementation of dual-machine system. Literature [2] proposed
an improved Hamilton system for the Hamilton implementation problem of NDAS. The
energy shaping of H function was carried out by reconstructing the system structure
matrix, and the design method of stabilization controller was presented. Literature [3, 4]
combines the generalized Hamilton energy theory to design the power system controller.
Literature [5] establishes the generalized Hamilton model of multi-machine power
system with two cases; the first case does not consider the transfer conductance while the
other case considers both self-admittance and mutual admittance. But it is without
considering the mutual conductance, which is considering that G ij is equal to 0. Literature [6] provides the improved Hamilton system structure considering mutual conductance, which is called pseudo-generalized Hamilton system. Many scholars have
The National Natural Science Foundation of China (Grant No. 61773108).
© Springer Nature Singapore Pte Ltd. 2020
Q. Liang et al. (Eds.): Artificial Intelligence in China, LNEE 572, pp. 506–513, 2020.
https://doi.org/10.1007/978-981-15-0187-6_60