Abstract

According to the theory of passivity-based control (PBC), this paper establishes a port-controlled Hamiltonian system with dissipation (PCHD) model for a doubly fed induction generator (DFIG) system under unbalanced grid voltage conditions and proposes a method of interconnection and damping assignment passivity-based control (IDA-PBC) of the system under such conditions. By using this method, the rotor-side converter and grid-side converter can be controlled simultaneously in order to improve fault ride-through capability of the DFIG system. Simulation results indicate that this IDA-PBC strategy effectively suppresses fluctuations of output current and power in the DFIG system during unbalanced grid voltage sag/swell, enhances dynamic performance, and improves the robustness of the system.

Highlights

  • In recent decades, in response to the energy crisis and environmental pollution, people have continuously sought clean and renewable resources to replace fossil fuels, largely promoting the development of wind power technologies [1,2]

  • To verify the feasibility of the proposed IDA-passivity-based control (PBC) law in a doubly fed induction generator (DFIG) system under unbalanced grid voltage conditions, the system model is constructed in Simulink of MATLAB as well as toolbox of SimPowerSystem to carry out simulation studies

  • Compared to PI control and PBC based on Euler-Lagrange model in the positive and negative to PI control and PBC based on Euler-Lagrange model in the positive and negative synchronous synchronous reference frames, it removes oscillation of each current faster and applies a shorter reference frames, it removes oscillation of each current faster and applies a shorter modulation process modulation process so that the DFIG system can reach a new stable status more quickly

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Summary

Introduction

In response to the energy crisis and environmental pollution, people have continuously sought clean and renewable resources to replace fossil fuels, largely promoting the development of wind power technologies [1,2]. [17] studied control strategies based on an Euler-Lagrange model of DFIGs under unbalanced grid voltage conditions. The study reported by [18] was performed on the control strategy based on a PCHD model of back-to-back converter in a permanent magnet synchronous generator system under normal grid conditions. [20,21] discussed interconnection and damping assignment passivity-based control (IDA-PBC) methods of DFIGs under normal grid conditions All these papers laid a foundation for further study of PBC of the DFIG system. Based on the PCHD model, with the idea of overall coordinated control, an IDA-PBC law is performed on both the rotor-side converter and grid-side converter to improve operation performance of the DFIG system under unbalanced grid voltage conditions. Where x ∈ Rn are the state variables of the system, u ∈ Rm are the input variables, y ∈ Rm are the output variables; the interconnection matrix J(x) is a skew-symmetric matrix which represents interconnection structure inside the system; the damping matrix R(x) is a positive semi-definite symmetric matrix which reflects the dissipation; the interconnection structure is captured in the input matrix g(x); the Hamiltonian function H (x) : Rn → R represents the total energy of the system

PCHD Model of a DFIG
PCHD Model of a Grid-Side Converter
IDA-PBC of a DFIG System during Grid Voltage Unbalance
IDA-PBC Law of a DFIG
IDA-PBC Law of a Grid-Side Converter
Simulation Analysis of IDA-PBC of a DFIG System during Grid Voltage Unbalance
Influence of Grid Voltage Unbalance in a DFIG System
Simulation of IDA-PBC during
Suppressing the Output Current Fluctuation in a DFIG System
Suppressing Output Active
Suppressing Output Reactive Power Fluctuation in a DFIG System
Conclusions

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