Skip to Main Content
 

Global Search Box

 
 
 

ETD Abstract Container

Abstract Header

HOLOMORPHIC EMBEDDED LOAD-FLOW METHOD'S APPLICATION ON THREE-PHASE DISTRIBUTION SYSTEM WITH UNBALANCED WYE-CONNECTED LOADS

Gupta, Nitin
http://orcid.org/0000-0001-5024-372X
http://rave.ohiolink.edu/etdc/view?acc_num=csu1624146858767491

Abstract Details

2021, Master of Science in Electrical Engineering, Cleveland State University, Washkewicz College of Engineering.
With increasing load and aging grid infrastructure, an accurate study of power flow is very important for operation and planning studies. The study involves a numerical calculation of unknown parameters, such as voltage magnitude, angle, net complex power injection at buses and power flow on branches. The performance of traditional iterative power flow methods, such as Newton-Raphson, depends on initial starting point, does not guarantee solution for heavily loaded, and poor convergence for unbalanced radial power system. Holomorphic load embedding is a non-iterative and deterministic method for finding steady-state solutions of any power system network. The method involves converting voltage parameter at every bus into an embedded parameter (\alpha) where analytic continuation is applied using Pade` approximants. The embedded parameter (\alpha) acts as a well-defined reference for the complex analysis and solution obtained when setting a simple value \alpha is known as Germ Solution, by some texts. Using the values of coefficient of Maclaurin Series, the Holomorphic method can find solutions in the whole complex plane using analytic continuation as it extends the nature of function beyond the radius of convergence. The holomorphic embedding method has been applied in the past to solve power flow problems in balanced power system models. There are several advantages of the said method over traditional iterative techniques, such as guaranteed convergence, the existence of solution, and faster calculation for certain cases. The method dives into complex analysis, algebraic curves, Taylor series expansion, Pade` approximants, and solving a linear set of equations. For simplicity purpose, the networks are often assumed to be balanced with constant power loads. Power flow analysis and its derivatives are performed on a single-phase equivalent of the same system. For bulk systems, the assumption is acceptable as load aggregation balances the loads in each phase to an acceptable level. However, in low-voltage distribution systems, ignoring such parameter could lead to an incorrect solution. In this work, a class of Holomorphic load-flow method is proposed to solve the power flow problem in three-phase distribution systems with unbalanced wye-connected loads.
Hongxing Ye (Committee Chair)
Hongkai Yu (Committee Member)
Zhiqiang Gao (Committee Member)
Alternative Energy

Recommended Citations

Citations

  • Gupta, N. (2021). HOLOMORPHIC EMBEDDED LOAD-FLOW METHOD'S APPLICATION ON THREE-PHASE DISTRIBUTION SYSTEM WITH UNBALANCED WYE-CONNECTED LOADS [Master's thesis, Cleveland State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=csu1624146858767491

    APA Style (7th edition)

  • Gupta, Nitin. HOLOMORPHIC EMBEDDED LOAD-FLOW METHOD'S APPLICATION ON THREE-PHASE DISTRIBUTION SYSTEM WITH UNBALANCED WYE-CONNECTED LOADS. 2021. Cleveland State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=csu1624146858767491.

    MLA Style (8th edition)

  • Gupta, Nitin. "HOLOMORPHIC EMBEDDED LOAD-FLOW METHOD'S APPLICATION ON THREE-PHASE DISTRIBUTION SYSTEM WITH UNBALANCED WYE-CONNECTED LOADS." Master's thesis, Cleveland State University, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=csu1624146858767491

    Chicago Manual of Style (17th edition)

csu1624146858767491
693
© 2021, all rights reserved.
This open access ETD is published by Cleveland State University and OhioLINK.