RESEARCH ARTICLE
A new AC OPF tool for sub‐transmission networks
considering distribution switching actions and load‐
transferring capability
Mohammad Ali Tavakkoli | Nima Amjady
Department of Electrical Engineering,
Semnan University, Semnan, Iran
Correspondence
Mohammad Ali Tavakkoli and Nima
Amjady, Department of Electrical
Engineering, Semnan University, Semnan,
Iran.
Email: mo‐tavakoli@semnan.ac.ir;
amjady@semnan.ac.ir
Abstract
In practical power systems, in order to study the results of optimal power flow
(OPF) for a sub‐transmission network (STN), the downstream primary distri-
bution network is usually modeled as constant load. However, in practical dis-
tribution grids, the operators are constantly transferring load from one primary
distribution feeder to another one because of, eg, congestion problems or main-
tenance plans. Considering distribution switching actions can improve the per-
formance of sub‐transmission OPF tool that typically aims at reducing the
operation cost of STN. This paper presents a new sub‐transmission Alternating
Current (AC) OPF (ST‐AC‐OPF) considering load transferring (LT) between
primary distribution feeders implemented through distribution maneuvers.
The proposed OPF tool is tested on an illustrative practical example as well
as on a real‐world Tehran STN. The numerical results show that the proposed
model can obtain a more optimal operating point than conventional ST‐AC‐
OPF in terms of the operation cost and load shedding.
KEYWORDS
load transferring (LT), primary distribution feeder, sub‐transmission AC OPF (ST‐AC‐OPF), sub‐
transmission network (STN), switching action
1 | INTRODUCTION
1.1 | Motivation and background
Optimal power flow (OPF) aims at optimizing the operating state of power system, eg, by minimizing the total produc-
tion cost, subject to the technical and economic constraints of power system. For practical power systems, OPF is usu-
ally formulated as a large‐scale complex mathematical optimization problem. For instance, AC OPF is nonlinear and
nonconvex because of including AC power flow equations. Both mathematical and heuristic methods have been used
to solve OPF. A review of earlier mathematical OPF solution methods, such as sequential quadratic programming, New-
ton's method, linear programming, and interior point methods, can be found in previous studies.
1,2
To enhance the per-
formance of these methods, various decomposition and transformation techniques, such as Benders decomposition with
special ordered sets
3
and Signomial convex transformation,
4
have been presented in the newer mathematical OPF solu-
tion methods. In addition, heuristic optimization methods have been also proposed to solve OPF problems and a review
of these methods can be found in other studies.
5,6
Received: 23 October 2018 Revised: 18 January 2019 Accepted: 25 February 2019
DOI: 10.1002/2050-7038.12029
Int Trans Electr Energ Syst. 2019;e12029.
https://doi.org/10.1002/2050-7038.12029
© 2019 John Wiley & Sons, Ltd. wileyonlinelibrary.com/journal/etep 1 of 17