Hopf Bifurcation Control of Power Systems Nonlinear Dynamics Via a Dynamic State Feedback Controller - Part II: Performance Evaluation

2018 ◽  
Author(s):  
Pouya Mahdavipour Vahdati ◽  
Luigi Vanfretti ◽  
M. Hadi Amini ◽  
Ahad Kazemi
Keyword(s):  
Nonlinear Dynamics ◽  
Performance Evaluation ◽  
Hopf Bifurcation ◽  
Power Systems ◽  
State Feedback ◽  
Feedback Controller ◽  
Bifurcation Control ◽  
Dynamic State ◽  
State Feedback Controller

BIFURCATION CONTROL OF A CONGESTION CONTROL MODEL VIA STATE FEEDBACK

2013 ◽  
Vol 23 (06) ◽  
pp. 1330018 ◽  
Author(s):  
MIN XIAO ◽  
WEI XING ZHENG ◽  
JINDE CAO
Keyword(s):  
Hopf Bifurcation ◽  
Congestion Control ◽  
State Feedback ◽  
Stability Domain ◽  
Control Model ◽  
The State ◽  
Feedback Controller ◽  
Bifurcation Control ◽  
Gain Parameter ◽  
State Feedback Controller

This paper proposes to use a state feedback method to control the Hopf bifurcation for a novel congestion control model, i.e. the exponential random early detection (RED) algorithm with a single link and a single source. The gain parameter of the congestion control model is chosen as the bifurcation parameter. The analysis shows that in the absence of the state feedback controller, the model loses stability via the Hopf bifurcation early, and can maintain a stationary sending rate only in a certain domain of the gain parameter. When applying the state feedback controller to the model, the onset of the undesirable Hopf bifurcation is postponed. Thus, the stability domain is extended, and the model possesses a stable sending rate in a larger parameter range. Furthermore, explicit formulae to determine the properties of the Hopf bifurcation are obtained. Numerical simulations are given to justify the validity of the state feedback controller in bifurcation control.

scholarly journals Robust State Feedback Controller for Photovoltaic Inverter System using Unbundled Smart Meter

2019 ◽  
Vol 8 (11) ◽  
pp. 4095-4104
Keyword(s):  
Power Flow ◽  
State Feedback ◽  
Dynamic Control ◽  
Feedback Controller ◽  
Dynamic State ◽  
Smart Meter ◽  
Control Logic ◽  
State Feedback Controller ◽  
Energy Meter ◽  
Integration Of Renewables

The paper proposes the integration of photovoltaics into distribution power system through inverter control and optimally managing the power flow based on smart energy meter data. The concept of Unbundled Smart Meter (USM) is used which to optimally integrate the inverter control logic with in the Smart meter which requires the construction of SMX (Smart Meter Extension) library. The proposed approach is adapted to make the design more robust and dynamic. State feedback controller has been designed to control the power flow to and from between the inverter and grid through USM and hence provide additional services to support grid operations. The proposed system gives the flexibility of adding numerous functionalities in the installed smart meter without the fuss of firmware change and hence integration of renewables to grid becomes more efficient as the meter’s instantaneous data are used in the dynamic control of the system. The validation of the proposed scheme is achieved by time domain simulations on MATLAB/Simulink R2018a platform along with Arduino programming on Proteus 8.1 software. These results are further assessed through Hardware experiment observations.

scholarly journals Robust state feedback controller design of STATCOM using chaotic optimization algorithm

2010 ◽  
Vol 7 (2) ◽  
pp. 253-268 ◽  
Author(s):  
Amin Safari ◽  
Hossein Shayeghi ◽  
Ali Heidar
Keyword(s):  
Power Systems ◽  
Optimization Algorithm ◽  
State Feedback ◽  
Controller Design ◽  
Low Frequency ◽  
Operating Conditions ◽  
Feedback Controller ◽  
Static Synchronous Compensator ◽  
State Feedback Controller ◽  
Wide Range

In this paper, a new design technique for the design of robust state feedback controller for static synchronous compensator (STATCOM) using Chaotic Optimization Algorithm (COA) is presented. The design is formulated as an optimization problem which is solved by the COA. Since chaotic planning enjoys reliability, ergodicity and stochastic feature, the proposed technique presents chaos mapping using Lozi map chaotic sequences which increases its convergence rate. To ensure the robustness of the proposed damping controller, the design process takes into account a wide range of operating conditions and system configurations. The simulation results reveal that the proposed controller has an excellent capability in damping power system low frequency oscillations and enhances greatly the dynamic stability of the power systems. Moreover, the system performance analysis under different operating conditions shows that the phase based controller is superior compare to the magnitude based controller.

Bifurcation and Control in a Singular Phytoplankton-Zooplankton-Fish Model with Nonlinear Fish Harvesting and Taxation

2018 ◽  
Vol 28 (03) ◽  
pp. 1850042 ◽  
Author(s):  
Xin-You Meng ◽  
Yu-Qian Wu
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
State Feedback ◽  
Critical Value ◽  
Feedback Controller ◽  
Bifurcation Parameter ◽  
State Feedback Controller ◽  
Interior Equilibrium ◽  
Fish Model ◽  
Singularity Induced Bifurcation

In this paper, a delayed differential algebraic phytoplankton-zooplankton-fish model with taxation and nonlinear fish harvesting is proposed. In the absence of time delay, the existence of singularity induced bifurcation is discussed by regarding economic interest as bifurcation parameter. A state feedback controller is designed to eliminate singularity induced bifurcation. Based on Liu’s criterion, Hopf bifurcation occurs at the interior equilibrium when taxation is taken as bifurcation parameter and is more than its corresponding critical value. In the presence of time delay, by analyzing the associated characteristic transcendental equation, the interior equilibrium loses local stability when time delay crosses its critical value. What’s more, the direction of Hopf bifurcation and stability of the bifurcating periodic solutions are investigated based on normal form theory and center manifold theorem, and nonlinear state feedback controller is designed to eliminate Hopf bifurcation. Furthermore, Pontryagin’s maximum principle has been used to obtain optimal tax policy to maximize the benefit as well as the conservation of the ecosystem. Finally, some numerical simulations are given to demonstrate our theoretical analysis.

scholarly journals Hopf Bifurcation Control in a FAST TCP and RED Model via Multiple Control Schemes

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Dawei Ding ◽  
Chun Wang ◽  
Lianghui Ding ◽  
Nian Wang ◽  
Dong Liang
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
Feedback Control ◽  
Congestion Control ◽  
State Feedback ◽  
Feedback Controller ◽  
Bifurcation Control ◽  
Fast Tcp ◽  
Hybrid Controller ◽  
Control Schemes

We focus on the Hopf bifurcation control problem of a FAST TCP model with RED gateway. The system gain parameter is chosen as the bifurcation parameter, and the stable region and stability condition of the congestion control model are given by use of the linear stability analysis. When the system gain passes through a critical value, the system loses the stability and Hopf bifurcation occurs. Considering the negative influence caused by Hopf bifurcation, we apply state feedback controller, hybrid controller, and time-delay feedback controller to postpone the onset of undesirable Hopf bifurcation. Numerical simulations show that the hybrid controller is the most sensitive method to delay the Hopf bifurcation with identical parameter conditions. However, nonlinear state feedback control and time-delay feedback control schemes have larger control parameter range in the Internet congestion control system with FAST TCP and RED gateway. Therefore, we can choose proper control method based on practical situation including unknown conditions or parameter requirements. This paper plays an important role in setting guiding system parameters for controlling the FAST TCP and RED model.

Controlling STATCOM by Full Order State Feedback Controller for Stability Improvement

2018 ◽  
pp. 227-254
Author(s):  
Champa Nandi ◽  
Ajay Kumar Chakraborty
Keyword(s):  
Power Systems ◽  
Transmission Lines ◽  
State Feedback ◽  
Reactive Power ◽  
Power Transmission ◽  
Feedback Controller ◽  
Mathematical Explanation ◽  
State Feedback Controller ◽  
Facts Controllers ◽  
Power Transmission Systems

Today's power systems have been extended due to interconnections with the neighboring systems. Energy cost is increasing due to greater sensitivity of new transmission lines. These have demanded the search of new controllers. These objectives were met by reactive power control on transmission lines. Hence, FACTS controllers are becoming an important part of the modern power transmission systems. Different control techniques are in use with STATCOM to generate control signals. But the conventional controllers like P; PI provide a slow dynamic response during the fault condition. This chapter creates an awareness of control issues and proposes an observer-based state feedback controller for STATCOM. The mathematical explanation of the observer-based state feedback controller for STATCOM is presented. Simulations have been carried out with one case study in MATLAB/SIMULINK environment. The simulation results show that the observer-based state feedback controller gives better performance than conventional PI controller during contingency condition.

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