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Power flow problem analysis is fundamental for determining real and reactive power flows in network components, such as transmission lines, transformers, and loads. The power system's single-line diagram provides data on the bus, transmission line, and transformer. Each bus k in the system is characterized by four key variables: voltage magnitude Vk​, phase angle δk​, real power Pk​, and reactive power Qk​. Two of these four variables are inputs, while the...
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Multiobjective optimal power flow for static voltage stability margin improvement.

Rebeccah Kyomugisha1, Christopher Maina Muriithi2, Milton Edimu3

  • 1Electrical Engineering Department, Pan African University Institute for Basic Sciences, Technology and Innovation, Nairobi, Kenya.

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Summary

This study proposes a multiobjective optimization approach for power systems, incorporating voltage collapse proximity index to enhance stability and reduce losses during normal and contingency conditions. The method proves effective for preventing voltage collapse and improving system security.

Keywords:
Fuzzy decision makingMOPSOPV curvesPreference Selection IndexVCPIVoltage collapse

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Area of Science:

  • Electrical Engineering
  • Power Systems Analysis
  • Optimization Techniques

Background:

  • Modern power systems face challenges in maintaining stability during disturbances.
  • Optimizing generation scheduling is crucial for system security, loss reduction, and cost efficiency.
  • Voltage collapse is a significant threat to power system reliability.

Purpose of the Study:

  • To propose an efficient operating strategy for maintaining power system stability.
  • To incorporate a Voltage Collapse Proximity Index (VCPI) into the optimal power flow (OPF) problem for multiobjective optimization (MO).
  • To evaluate the effectiveness of the proposed approach under various system conditions.

Main Methods:

  • Developed a multiobjective voltage stability constrained optimal power flow (VSC-OPF) model.
  • Utilized a Preference Selection Index (PSI) to determine the optimal operating strategy.
  • Tested the approach on IEEE 30-bus and IEEE 57-bus systems using MATPOWER under normal, contingency, and stressed conditions.

Main Results:

  • MO VSC-OPF improved system stability by 28.13% and reduced losses by 14.69% under normal conditions compared to single objective (SO).
  • During line outage contingencies, MO approach showed higher stability enhancement (13.60%) and loss reduction (23.19%) than SO.
  • SO approach performed better in voltage stability improvement (8.77%) and loss reduction (6.97%) under stressed conditions.

Conclusions:

  • Multiobjective optimization is optimal for normal and contingency conditions, enhancing stability and reducing losses.
  • Single objective optimization is preferable under stressed conditions due to reactive power limitations.
  • The proposed approach serves as an effective preventive control for voltage collapse, enhancing power system security.