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Maximum Power Flow and Line Loadability01:23

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The maximum power flow for lossy transmission lines is derived using ABCD parameters in phasor form. These parameters create a matrix relationship between the sending-end and receiving-end voltages and currents, allowing the determination of the receiving-end current. This relationship facilitates calculating the complex power delivered to the receiving end, from which real and reactive power components are derived.
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Numerous practical applications within engineering disciplines, such as telecommunications, necessitate optimizing power delivery to a connected load. This pursuit, however, entails inherent internal losses, which can either equal or exceed the power supplied to the load. The Thevenin equivalent circuit is helpful in finding the maximum power a linear circuit can deliver to a load. It is assumed in this context that the load resistance can be adjusted.
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The principle of power preservation is applicable to both ac and dc circuits. This principle, when applied to AC power, asserts that the complex, real, and reactive powers produced by the source are equal to the total complex, real, and reactive powers absorbed by the loads. When two load impedances are connected in parallel to an ac source V, the complex power provided by the source can be calculated using the relation
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On-Off Scheduling for Electric Vehicle Charging in Two-Links Charging Stations Using Binary Optimization Approaches.

Rafał Zdunek1, Andrzej Grobelny1, Jerzy Witkowski1

  • 1Faculty of Electronics, Photonics and Microsystems, Wroclaw University of Science and Technology, Wybrzeze Wyspianskiego 27, 50-370 Wroclaw, Poland.

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Summary
This summary is machine-generated.

This study introduces an on-off scheduling scheme for electric vehicle (EV) charging stations to manage energy flow. The method optimizes EV charging, reduces peak load, and minimizes switching operations for efficient power utilization.

Keywords:
EV charging schedulingbinary linear programmingbinary quadratic programmingelectrical vehicles

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Area of Science:

  • Electrical Engineering
  • Operations Research
  • Computer Science

Background:

  • Managing electric vehicle (EV) charging is crucial for grid stability and user satisfaction.
  • Existing charging strategies often struggle to balance energy demand, grid load, and operational efficiency.
  • Three-phase EV charging stations with dual, non-simultaneous ports present unique scheduling challenges.

Purpose of the Study:

  • To develop an optimized on-off scheduling scheme for EV charging stations.
  • To ensure user energy demands are met while utilizing available power efficiently.
  • To minimize load peaks and reduce the number of port switching operations.

Main Methods:

  • Formulation of an on-off scheduling scheme as a binary linear programming problem.
  • Extension to a binary quadratic programming problem to include charging smoothness constraints.
  • Application of algorithmic approaches like the Frank-Wolfe algorithm and successive linear approximations.

Main Results:

  • The successive linear approximations method proved scalable, efficient, and flexible for EV charging.
  • The proposed scheme effectively shaved peak energy consumption loads.
  • Smooth charging profiles were maintained while satisfying EV energy demands.

Conclusions:

  • The developed on-off scheduling scheme offers an effective solution for managing EV charging stations.
  • Successive linear approximations provide a robust method for optimizing charging schedules.
  • This approach contributes to efficient grid integration of electric vehicles.