scholarly journals The impacts of convex piecewise linear cost formulations on AC optimal power flow

2021 ◽  
Vol 199 ◽  
pp. 107191
Author(s):  
Carleton Coffrin ◽  
Bernard Knueven ◽  
Jesse Holzer ◽  
Marc Vuffray
Keyword(s):  
Power Flow ◽  
Optimal Power Flow ◽  
Piecewise Linear ◽  
Optimal Power ◽  
Linear Cost

scholarly journals On refinement strategies for solving $${\textsc {MINLP}\mathrm{s}}$$  by piecewise linear relaxations: a generalized red refinement

2021 ◽  
Author(s):  
Robert Burlacu
Keyword(s):  
Power Flow ◽  
Optimal Power Flow ◽  
Piecewise Linear ◽  
Mixed Integer ◽  
Nonlinear Program ◽  
Convergence Conditions ◽  
Incremental Method ◽  
Optimal Power ◽  
Refinement Procedure ◽  
Linear Relaxations

AbstractWe investigate the generalized red refinement for n-dimensional simplices that dates back to Freudenthal (Ann Math 43(3):580–582, 1942) in a mixed-integer nonlinear program ($${\textsc {MINLP}}$$ MINLP ) context. We show that the red refinement meets sufficient convergence conditions for a known $${\textsc {MINLP}}$$ MINLP  solution framework that is essentially based on solving piecewise linear relaxations. In addition, we prove that applying this refinement procedure results in piecewise linear relaxations that can be modeled by the well-known incremental method established by Markowitz and Manne (Econometrica 25(1):84–110, 1957). Finally, numerical results from the field of alternating current optimal power flow demonstrate the applicability of the red refinement in such $${\textsc {MIP}}$$ MIP -based $${\textsc {MINLP}}$$ MINLP  solution frameworks.

Optimal Power Flow Using Newton’s Method

2012 ◽  
Vol 3 (2) ◽  
pp. 167-169
Author(s):  
F.M.PATEL F.M.PATEL ◽  
◽  
N. B. PANCHAL N. B. PANCHAL
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Power Flow ◽  
Optimal Power Flow ◽  
Optimal Power

Designing the Electricity Market with Energy Storage Devices

2020 ◽  
Vol 12 (12) ◽  
pp. 31-43
Author(s):  
Tatiana A. VASKOVSKAYA ◽  
◽  
Boris A. KLUS ◽  
Keyword(s):  
Energy Storage ◽  
Electricity Market ◽  
Power Flow ◽  
Optimal Power Flow ◽  
Storage Systems ◽  
Energy System ◽  
Energy Storage Systems ◽  
Storage Model ◽  
Optimal Power ◽  
Wide Range

The development of energy storage systems allows us to consider their usage for load profile leveling during operational planning on electricity markets. The paper proposes and analyses an application of an energy storage model to the electricity market in Russia with the focus on the day ahead market. We consider bidding, energy storage constraints for an optimal power flow problem, and locational marginal pricing. We show that the largest effect for the market and for the energy storage system would be gained by integration of the energy storage model into the market’s optimization models. The proposed theory has been tested on the optimal power flow model of the day ahead market in Russia of 10000-node Unified Energy System. It is shown that energy storage systems are in demand with a wide range of efficiencies and cycle costs.

A Comparison of Computing techniques for the Optimal Power Flow Problem

2011 ◽  
Vol 4 (4) ◽  
pp. 14-18
Author(s):  
A.V. Naresh Babu ◽  
◽  
S. Sivanagaraju ◽  
Keyword(s):  
Power Flow ◽  
Optimal Power Flow ◽  
Flow Problem ◽  
Optimal Power ◽  
Power Flow Problem

Analysis of Optimal Power Flow Using Gravitational Search Algorithm

2016 ◽  
Vol 3 (4) ◽  
pp. 1-11
Author(s):  
M. Lakshmikantha Reddy ◽  
◽  
M. Ramprasad Reddy ◽  
V.C. Veera Reddy ◽  
◽  
...  
Keyword(s):  
Power Flow ◽  
Optimal Power Flow ◽  
Search Algorithm ◽  
Gravitational Search Algorithm ◽  
Optimal Power ◽  
Gravitational Search
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