37,842 research outputs found
The N-K Problem in Power Grids: New Models, Formulations and Numerical Experiments (extended version)
Given a power grid modeled by a network together with equations describing
the power flows, power generation and consumption, and the laws of physics, the
so-called N-k problem asks whether there exists a set of k or fewer arcs whose
removal will cause the system to fail. The case where k is small is of
practical interest. We present theoretical and computational results involving
a mixed-integer model and a continuous nonlinear model related to this
question.Comment: 40 pages 3 figure
Efficient Dynamic Compressor Optimization in Natural Gas Transmission Systems
The growing reliance of electric power systems on gas-fired generation to
balance intermittent sources of renewable energy has increased the variation
and volume of flows through natural gas transmission pipelines. Adapting
pipeline operations to maintain efficiency and security under these new
conditions requires optimization methods that account for transients and that
can quickly compute solutions in reaction to generator re-dispatch. This paper
presents an efficient scheme to minimize compression costs under dynamic
conditions where deliveries to customers are described by time-dependent mass
flow. The optimization scheme relies on a compact representation of gas flow
physics, a trapezoidal discretization in time and space, and a two-stage
approach to minimize energy costs and maximize smoothness. The resulting
large-scale nonlinear programs are solved using a modern interior-point method.
The proposed optimization scheme is validated against an integration of dynamic
equations with adaptive time-stepping, as well as a recently proposed
state-of-the-art optimal control method. The comparison shows that the
solutions are feasible for the continuous problem and also practical from an
operational standpoint. The results also indicate that our scheme provides at
least an order of magnitude reduction in computation time relative to the
state-of-the-art and scales to large gas transmission networks with more than
6000 kilometers of total pipeline
Solution of Different Types of Economic Load Dispatch Problems Using a Pattern Search Method
Direct search (DS) methods are evolutionary algorithms used to solve constrained optimization problems. DS methods do not require information about the gradient of the objective function when searching for an optimum solution. One such method is a pattern search (PS) algorithm. This study presents a new approach based on a constrained PS algorithm to solve various types of power system economic load dispatch (ELD) problems. These problems include economic dispatch with valve point (EDVP) effects, multi-area economic load dispatch (MAED), companied economic-environmental dispatch (CEED), and cubic cost function economic dispatch (QCFED). For illustrative purposes, the proposed PS technique has been applied to each of the above dispatch problems to validate its effectiveness. Furthermore, convergence characteristics and robustness of the proposed method has been assessed and investigated through comparison with results reported in literature. The outcome is very encouraging and suggests that PS methods may be very efficient when solving power system ELD problems
Design considerations for integrated continuous-time chaotic oscillators
This paper presents an optimization procedure to choose the chaotic state equation which is best suited for implementation using Gm-C integrated circuit techniques. The paper also presents an analysis of the most significant hardware nonidealities of Gm-C circuits on the chaotic operation-the basis to design robust integrated circuits with reproducible and easily controllable behavior. The techniques in the paper are illustrated through a circuit fabricated in 2.4-/iin double-poly technology.Comisión Interministerial de Ciencia y Tecnología TIC 96-1392-CO2-
Development and optimization of a nonlinear multiparameter model for the human operator
A systematic method is proposed for the development, optimization, and comparison of controller-models for the human operator. This is suitable for any designed model, even multiparameter systems. A random search technique is chosen for the parameter optimization. As valuation criteria for the quality of the model development the criterion function - the comparison between the input and output functions of the human operator and those of the model - and the most important characteristic values and functions of the statistical signal theory are used. A nonlinear multiparameter model for the human operator is being designed which considers the complex input information rate per time in a single display. The nonlinear features of the model are effected by a modified threshold element and a decision algorithm. Different display-configurations as well as various transfer functions of the controlled element are explained by different optimized parameter-combinations
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