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Multimachine Stability01:25

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Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
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Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
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Updated: Jan 17, 2026

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Fixed-time leader-following speed consensus control for multi-PMSMs based on multi-agent systems consensus.

Bin Li1, Hongxu Chai2, Limin Hou1

  • 1Liaoning Technical University, Huludao, China.

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|September 24, 2025
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Summary

This study introduces fixed-time consensus control for multiple permanent magnet synchronous motors (multi-PMSMs) to enhance speed coordination. The novel approach ensures faster, more reliable system performance independent of starting conditions.

Keywords:
Fixed-time ESOFixed-time consensus protocolMulti-PMSMs speed control systemMulti-agent systems

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Area of Science:

  • Control Systems Engineering
  • Robotics and Automation
  • Electrical Engineering

Background:

  • Multi-agent systems (MAS) enable scalable and robust control for coordinated tasks.
  • Coordinating multiple permanent magnet synchronous motors (multi-PMSMs) presents challenges in speed synchronization and disturbance rejection.
  • Existing control schemes may lack guaranteed settling times or robustness to system uncertainties.

Purpose of the Study:

  • To develop a fixed-time leader-following speed consensus control strategy for multi-PMSMs.
  • To improve the speed coordination performance and robustness of multi-PMSM systems.
  • To ensure the consensus control has a settling time independent of initial states.

Main Methods:

  • Modeling the multi-PMSM speed control system as a first-order MAS under perturbations.
  • Designing a fixed-time consensus protocol utilizing an undirected graph.
  • Developing a fixed-time extended state observer (ESO) for real-time perturbation estimation and feedforward compensation.
  • Implementing the protocol to generate the required q-axis current for speed control.

Main Results:

  • The proposed fixed-time consensus protocol achieves speed synchronization for multi-PMSMs.
  • The settling time of the consensus is bounded and independent of initial conditions.
  • The fixed-time extended state observer effectively estimates and compensates for system perturbations.
  • Experimental validation demonstrates superior performance compared to relative-coupling control.

Conclusions:

  • The fixed-time leader-following consensus control scheme effectively enhances multi-PMSM speed coordination.
  • The approach offers improved robustness and predictable performance through fixed-time convergence.
  • This method provides a scalable and reliable solution for complex multi-motor systems.