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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.
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A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
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The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
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Single machine scheduling problems with sequence-dependent setup times and precedence delays.

Shih-Wei Lin1,2,3, Kuo-Ching Ying4

  • 1Department of Information Management, Chang Gung University, Taoyuan, 333, Taiwan, ROC.

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Summary
This summary is machine-generated.

This study introduces a lean iterated greedy (LIG) algorithm to solve complex single machine scheduling problems with setup times and precedence delays, significantly improving solution quality and efficiency for industrial applications.

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Area of Science:

  • Operations Research
  • Industrial Engineering
  • Manufacturing Systems

Background:

  • Sequence-dependent setup times and precedence delays are common challenges in production environments.
  • These factors complicate scheduling and impact overall efficiency.
  • Optimizing schedules is crucial for minimizing production lead times.

Purpose of the Study:

  • To address the single machine scheduling problem with setup times and precedence delays.
  • To develop a novel mixed-integer linear programming model and an efficient algorithm.
  • To minimize the makespan in an amplifier assembly company context.

Main Methods:

  • Development of a novel mixed-integer linear programming model.
  • Introduction of a lean iterated greedy (LIG) algorithm.
  • Utilizing a lean construction mechanism to discard infeasible solutions and accelerate convergence.

Main Results:

  • The LIG algorithm demonstrates superior performance compared to state-of-the-art methods.
  • Significant improvements in both solution quality and computational efficiency were observed.
  • The algorithm effectively handles delayed precedence constraints.

Conclusions:

  • The proposed LIG algorithm offers a simple, effective, and efficient solution for complex scheduling problems.
  • This research provides a valuable tool for industrial applications in manufacturing.
  • The study establishes a new benchmark for future research in scheduling optimization.