NDLI: A New Multiperiod Stage Definition for the Multistage Benders Decomposition Approach Applied to Hydrothermal Scheduling

Content Provider	IEEE Xplore Digital Library
Author	Norbiato dos Santos, T. Diniz, A.L.
Copyright Year	1969
Abstract	Multistage benders decomposition (MSBD), also known as dual dynamic programming, is a well-established technique to solve hydrothermal scheduling problems, especially for predominantly hydro systems. The MSBD methodology solves the problem by iterative forward and backward recursions, approximating the cost-to-go function for each stage by benders cuts, as opposed to traditional dynamic programming approaches that discretize the state space at each time-step. The classical definition of the stages in the MSBD approach is to assign a stage for each time period. In this paper, we propose a new strategy to decompose the problem, where each stage comprises all variables and constraints of several time periods. Numerical results of the application of this strategy to the short- term hydrothermal scheduling problem confirm the advantages of this strategy in terms of CPU time, as compared to the classical stage definition approach. We show that there is an "optimal aggregation factor," which best balances the trade-off between solving a "larger number of shorter subproblems" and solving a "smaller number of larger subproblems." The primal and dual solutions related to different aggregation factors are also compared, and the stability of the results is confirmed. Extensions of the proposed strategy to stochastic problems are discussed.
Sponsorship	IEEE Power Engineering Society
Starting Page	1383
Ending Page	1392
Page Count	10
File Size	431058
File Format	PDF
ISSN	08858950
Volume Number	24
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-08-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Dynamic scheduling Dynamic programming Cost function Piecewise linear techniques Power system modeling Piecewise linear approximation Power generation Reservoirs Uncertainty Iterative methods power generation scheduling Benders decomposition dynamic programming linear programming
Content Type	Text
Resource Type	Article
Subject	Energy Engineering and Power Technology Electrical and Electronic Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Short Term Security Constrained Hydrothermal Scheduling Considering Transmission Losses

Feasibility and optimality cuts for the MultiStage benders decomposition approach: Application to the network constrained hydrothermal scheduling

Sensitivity analysis on the definition of stages for the Multi-stage Benders decomposition approach applied to hydrothermal scheduling

A Dynamic Piecewise Linear Model for DC Transmission Losses in Optimal Scheduling Problems

Multistage stochastic hydrothermal scheduling

Multi-period stage definition for the multi stage benders decomposition approach applied to hydrothermal scheduling.

Scheduling of Generation and Allocation of Fuel Using Dynamic and Linear Programming

Scheduling of hydrothermal power systems using the augmented Lagrangian decomposition and coordination technique

Primal and dual stochastic dynamic programming in long term hydrothermal scheduling

A New Multiperiod Stage Definition for the Multistage Benders Decomposition Approach Applied to Hydrothermal Scheduling

Similar Documents

Short Term Security Constrained Hydrothermal Scheduling Considering Transmission Losses

Feasibility and optimality cuts for the MultiStage benders decomposition approach: Application to the network constrained hydrothermal scheduling

Sensitivity analysis on the definition of stages for the Multi-stage Benders decomposition approach applied to hydrothermal scheduling

A Dynamic Piecewise Linear Model for DC Transmission Losses in Optimal Scheduling Problems

Multistage stochastic hydrothermal scheduling

Multi-period stage definition for the multi stage benders decomposition approach applied to hydrothermal scheduling.

Scheduling of Generation and Allocation of Fuel Using Dynamic and Linear Programming

Scheduling of hydrothermal power systems using the augmented Lagrangian decomposition and coordination technique

Primal and dual stochastic dynamic programming in long term hydrothermal scheduling

A New Multiperiod Stage Definition for the Multistage Benders Decomposition Approach Applied to Hydrothermal Scheduling