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URN etd-0707117-160535
Author Ying-ren Chen
Author's Email Address No Public.
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Department Applied Mathematics
Year 2016
Semester 2
Degree Master
Type of Document
Language zh-TW.Big5 Chinese
Title Parallel Computing for Solving the Power Flow Equations
Date of Defense 2017-06-29
Page Count 34
Keyword
  • Power flow equations
  • homotopy continuation method
  • parallel computing
  • Newton’s iteration method
  • Abstract The power flow equations are an important part of the power system analysis. It describes the status of nodes in an electrical grid. A grid has different solutions under the same supply and load. Identifying other solutions will reduce operational risk and cost.
    This paper uses the Newton iteration method and the homotopy continuation method to solve the equations. To solve the roots for a system of equations P(x) by the homotopy continuous method is making an equation system Q(x). The roots of Q(x) and P(x) are connected by homotopy paths. After tracing all the roots of Q(x) to P(x), we will obtain all the roots of P(x).
    In recent years, multi-core CPU and the GPGPU (General-purpose computing on graphics processing units) are developed. Effective call to computer resources will significantly affect the speed of calculation. A CPU has less but stronger cores, while a GPU has many but weak cores. At the end of this paper, the numerical solutions of the power flow equations are computed by parallel computing on CPU and GPU. This paper shows the efficiency of parallel computing.
    Advisory Committee
  • Tzon-Tzer Lu - chair
  • Yueh-Cheng Kuo - co-chair
  • Chieh-Sen Huang - co-chair
  • Tsung-Lin Lee - advisor
  • Files
  • etd-0707117-160535.pdf
  • Indicate in-campus at 99 year and off-campus access at 99 year.
    Date of Submission 2017-08-11

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