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Configuration of Jacobian Matrix in Steady-State Voltage Stability Analysis Based on Rotor Flux Dynamics of Rotating Machines

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Published/Copyright: June 19, 2013
International Journal of Emerging Electric Power Systems
From the journal International Journal of Emerging Electric Power Systems Volume 14 Issue 3

Abstract

In the existing literatures, modal analysis for steady-state voltage stability is based on the reduced Jacobian matrix, i.e. active power equations are eliminated, and reactive power equations of the constant power/voltage buses (PV buses) are ignored in the polar coordinate expression, which is actually designed for voltage controllability, but questionable for voltage stability.In this article, power outputs of the rotating machines are newly decomposed to the steady-state and dynamic components, with the latter proportional to derivative of the rotor flux. Therefore, neither the active nor the reactive power equations of the rotating machines may be eliminated or ignored in the Jacobian matrix. Only the static buses with constant load impedance should be eliminated. Numerical results show that elimination of active power equations or ignorance of reactive power equations of the rotating machines will yield optimistic stability margins, while including power equations of static load buses yields pessimistic stability margin. It is also find that more static load component yields larger stability margin.

Keywords: steady-state voltage stability; rotor flux dynamics; Jacobian matrix; modal analysis; dynamic bus

Acknowledgments:

This work was supported by Natural Science Foundation of China under Grant 51277049.

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Received: 2012-11-21
Accepted: 2013-05-20
Published Online: 2013-06-19

© 2013 by Walter de Gruyter Berlin / Boston

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https://doi.org/10.1515/ijeeps-2012-0013
Keywords for this article
steady-state voltage stability; rotor flux dynamics; Jacobian matrix; modal analysis; dynamic bus

Articles in the same Issue

  1. Masthead
  2. Masthead
  4. Optimal Operation Planning of Wind Farm Installed BESS Using Wind Power Forecast Data of Wind Turbine Generators Considering Forecast Error
  5. Research Article
  6. The Study of Switching Overvoltages under Power System Restoration Scenario Using Extended Delta-Bar-Delta Algorithm
  7. Investigation of Transmission Line Models for Switching Overvoltages Studies
  9. Configuration of Jacobian Matrix in Steady-State Voltage Stability Analysis Based on Rotor Flux Dynamics of Rotating Machines
  10. Commercial Impact and Optimum Capacity Determination of Pumped Storage Hydro Plant for a Practical Power System
  11. A Novel Approach of Battery Energy Storage for Improving Value of Wind Power in Deregulated Markets
  12. Fault Location for Parallel Transmission Lines with Limited Voltage and Current Measurements
  13. Research Article
  14. Trade-Off Analysis to Solve a Probabilistic Multi-Objective Problem for Passive Filtering System Planning
  16. Power-Quality Improvement in PFC Bridgeless SEPIC-Fed BLDC Motor Drive
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