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Journal ArticleDOI

Composite Representation of a Multireservoir Hydroelectric Power System

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Abstract
A composite model for multireservoir hydroelectric power systems is constructed for studying the monthly decision conceming total hydrogeneration. This is an important decision when the inflows are uncertain and when hydro, with zero marginal cost, can be used not only to satisfy firm load commitments but also to displace other firm resources or to serve secondary loads. In such a case, the tradeoff between savings at the present and expected benefits in the future is determined mainly by the total hydrogeneration. The construction of a composite representation for the multireservoir hydroelectric power system in the Pacific Northwest is described. The composite model is based on a single measure "potential energy" which is indicative of the system's generating capability. This results in a one-dam representation of the multireservoir system which, in effect, receives, stores, and releases potential energy, in a statistical model for the potential energy inflow and in a generation function which relates potential energy released to actual electric power generated. It has applications in the study of different operating policies, market structures, and investment programs through simulation or optimization. As an example, it is used to obtain the net operating revenues as a function of the excess thermal in the system.

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Journal ArticleDOI

Stochastic Optimization of a Multireservoir Hydroelectric System: A Decomposition Approach

TL;DR: In this paper, a computational scheme that is able to determine at each stage the most economical generation decision for each plant of a hydrothermal system is presented, based on the stochastic extension of Benders decomposition and can be implemented from already existing operation models.
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Risk neutral and risk averse Stochastic Dual Dynamic Programming method

TL;DR: Risk neutral and risk averse approaches to multistage (linear) stochastic programming problems based on the Stochastic Dual Dynamic Programming (SDDP) method are discussed.
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Trends and challenges in the operation of pumped-storage hydropower plants

TL;DR: In this paper, the authors review the current trends in the pumped hydroelectric energy storage operation, discuss why current practices should be reexamined, and present the main challenges faced by PHES operators who will need to adapt their scheduling and bidding models to optimize jointly the operation in the energy and in the ancillary services markets.
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Numerical solution of continuous-state dynamic programs using linear and spline interpolation

TL;DR: This paper demonstrates that the computational effort required to develop numerical solutions to continuous-state dynamic programs can be reduced significantly when cubic piecewise polynomial functions, rather than tensor product linear interpolants, are used to approximate the value function.
Journal ArticleDOI

Optimization-based methods for operations scheduling

A.I. Cohen, +1 more
TL;DR: In this article, the authors present mathematical formulations to the problem and survey recent advances in optimization-based solution methods for the problem of short-term unit commitment, shortterm hydro scheduling, and hydro-thermal coordination.