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Journal ArticleDOI

Transmission Network Estimation Using Linear Programming

L. L. Garver
- 01 Sep 1970 - 
- Vol. 89, Iss: 7, pp 1688-1697
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TLDR
The use of linear programming for network analysis to determine where capacity shortages exist and, most importantly, where to add new circuits to relieve the shortages is presented.
Abstract
One aspect of long-range planning of electric power systems involves the exploration of various designs for the bulk power transmission network. The use of linear programming for network analysis to determine where capacity shortages exist and, most importantly, where to add new circuits to relieve the shortages is presented. The new method of network estimation produces a feasible transmission network with near-minimum circuit miles using as input any existing network plus a load and generation schedule. An example is used to present the two steps of the method: 1) linear flow estimation and 2) new circuit selection. The method has become a fundamental part of computer programs for transmission network synthesis.

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Citations
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Journal ArticleDOI

Classification of publications and models on transmission expansion planning

TL;DR: The transmission planning state-of-the-art, which was obtained from the review of the most interesting models found in the international technical literature, is presented.
Journal ArticleDOI

Mixed-integer nonlinear optimization

TL;DR: An emerging area of mixed-integer optimal control that adds systems of ordinary differential equations to MINLP is described and a range of approaches for tackling this challenging class of problems are discussed, including piecewise linear approximations, generic strategies for obtaining convex relaxations for non-convex functions, spatial branch-and-bound methods, and a small sample of techniques that exploit particular types of non- Convex structures to obtain improved convex Relaxations.
Journal ArticleDOI

Transmission expansion planning: a mixed-integer LP approach

TL;DR: In this article, a mixed-integer LP approach to the solution of the long-term transmission expansion planning problem is presented. But this approach is not suitable for large-scale systems, as the problem is large scale, mixed integer, nonlinear, and nonconvex.
Journal ArticleDOI

Test systems and mathematical models for transmission network expansion planning

TL;DR: The data of four networks that can be used in carrying out comparative studies with methods for transmission network expansion planning are given and the main mathematical formulations used in transmission expansion studies are summarised and compared.
Journal ArticleDOI

A hierarchical decomposition approach for transmission network expansion planning

TL;DR: Hierarchical decomposition has proved to be an efficient heuristic for coping with nonconvexity, as illustrated in the test results section of the paper.
References
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Journal ArticleDOI

Integer Linear Programming: A Study in Computational Efficiency

TL;DR: Twenty-nine integer linear programming problems, raging from very simple to apparently rather difficult, are introduced and the results of running these problems on four different computer codes, involving five distinct algorithms are presented.
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