—This article presents a non-linear programming-based model for the optimal placement of phasor measurement units. The optimal phasor measurement units placement is formulated to minimize the number of phasor measure...
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—This article presents a non-linear programming-based model for the optimal placement of phasor measurement units. The optimal phasor measurement units placement is formulated to minimize the number of phasor measurement units required for full system observability and to maximize the measurement redundancy at all buses in a power system. A sequential quadratic programming algorithm is used for the solution of the proposed model. The existence of power flow and injection measurements, the limited phasor measurement units channel capacity, the lack of communication facilities in substations, and the single phasor measurement units loss are also incorporated into the initial proposed formulation. The non-linear programming model is applied to IEEE 14- and 118-bus test systems in MATLAB. The accuracy and the effectiveness of the proposed method is verified by comparing the simulation results to those obtained by a binary integer programming model also implemented in MATLAB. The comparative study shows that the proposed non-linear programming model yields the same number of phasor measurement units as the binary integer programming model. A remarkable advantage of the non-linear programming against binary integer linearprogramming is its capability to give more than one optimal solution, each one having the same minimum number of phasor measurement units (same minimum objective value), but at different locations.
The experience of designing a track with the use of the basic elements method showed its high effectiveness with the possibilities for the further improvement of the process of the automatized designing for the purpos...
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ISBN:
(纸本)9783319908359;9783319908342
The experience of designing a track with the use of the basic elements method showed its high effectiveness with the possibilities for the further improvement of the process of the automatized designing for the purpose of full elimination of the stage of graphical elaboration of the track and automatic consideration of all requirements set to it. For the purpose of realization of these possibilities, the issues of designing a clothoid track by approximation of succession of points of a sketch line with application of the methods of non-linear programming were viewed (method of approximation of succession of points). This method sets the task of the best approximation of the track to the set succession of point of the sketch line.
We propose a new family of relaxation schemes for mathematical programs with vanishing constraints that extend the relaxation of Hoheisel, Kanzow & Schwartz from 2012. We discuss the properties of the sequence of ...
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We propose a new family of relaxation schemes for mathematical programs with vanishing constraints that extend the relaxation of Hoheisel, Kanzow & Schwartz from 2012. We discuss the properties of the sequence of relaxed non-linear programs as well as stationary properties of limiting points. Our relaxation schemes have the desired property of converging to an M-stationary point. A main advantage of this new method is to converge to an S-stationary point satisfying MPVC-LICQ for a large class of problem. We also study MPVC constraint qualification connected to this study and prove convergence of the method under the new MPVC-CRSC. Additionally, we obtain the new MPVC-wGCQ and prove that it is the weakest MPVC constraint qualification.
This paper applies a variable neighborhood search (VNS) to the difficult problem of packing unit radii spheres into the smallest cube (PSC). VNS identifies (near-) global optima by searching the neighborhoods of local...
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This Paper presents an approach to solve the single objective optimal power flow problem considering the critical objective function of minimization of sum of squares of voltage deviations from desired voltages at all...
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ISBN:
(纸本)9781479974559
This Paper presents an approach to solve the single objective optimal power flow problem considering the critical objective function of minimization of sum of squares of voltage deviations from desired voltages at all load buses while satisfying a set of constraints associated with the control variables such as generator excitations, tap positions of on-load tap changing transformers and switched var compensators and also dependent variable reactive power generation of all generators. This problem has been solved by using the Particle Swarm Optimization (PSO) method and the results obtained from this proposed method have been compared with the results obtained by the conventional non-linear programming interior point method(NLP). To test the effectiveness of the proposed method, the results are obtained for a practical 24 bus EHV southern region equivalent Indian power system network. Analysis of results including effect on power loss, voltage stability indices as well as sum squared voltage deviations are done and superiority of the proposed method in comparison to NLP method is demonstrated.
Most manufacturing firms consider product pricing as a key strategic *** planning and scheduling,on the other hand,are mostly treated as a non-strategic *** businesses,therefore,follow some sequential decision-making ...
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Most manufacturing firms consider product pricing as a key strategic *** planning and scheduling,on the other hand,are mostly treated as a non-strategic *** businesses,therefore,follow some sequential decision-making process;where product prices are determined first and then operational plans are made to fulfill the resulting demand at the lowest possible *** this paper,we present a coordinated decision model approach for multiproduct pricing and lot sizing decisions for a manufacturer who has limited production *** the presented model is specific to demands that follow constant elasticity of the price,it can easily be extended to other convex demand *** show that a coordinated decision-making process where price and production plans are determined simultaneously may lead to substantially higher *** propose an efficient solution methodology for finding optimal prices and product quantities and use real-world data to demonstrate the applicability of this research.
An approach to the optimization of thermal energy systems is described which is general in its structure and applicability. The method is rigorously founded on functional insights into thermodynamics. It allows any th...
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This paper reviews alternative market equilibrium models for policy analysis. The origin of spatial equilibrium models and their application to wood and wood-processing industries are described. Three mathematical pro...
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This paper reviews alternative market equilibrium models for policy analysis. The origin of spatial equilibrium models and their application to wood and wood-processing industries are described. Three mathematical programming models commonly applied to solve spatial problems - namely linearprogramming, non-linear programming and mixed complementary programming - are reviewed in terms of forms of objective functions and constraint equalities and inequalities. These programming are illustrated with numerical examples. linearprogramming is only applied in transportation problems to solve quantities trans, ported between regions when quantities supplied and demanded in each region are already known. It is argued that linearprogramming can be applied in broader context to transportation problems where supply and demand quantities are unknown and are linear. In this context, linearprogramming is seen as a more convenient method for modelers because it has a simpler objective function and does not require as strict conditions, for instance the equal numbers of variables and equations required in mixed complementary programming. Finally, some critical insights are provided on the interpretation of optimal solutions generated by solving spatial equilibrium models.
This paper is the second one of a research line whereupon the variations of the total solar irradiance are explicitly included in a large high-precision computer code for sailcraft trajectory optimization. Sailcraft-M...
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This paper is the second one of a research line whereupon the variations of the total solar irradiance are explicitly included in a large high-precision computer code for sailcraft trajectory optimization. Sailcraft-Mars rendezvous has been chosen for studying such effects. It turns out that irradiance-fluctuation perturbations are large in this trajectory type. (C) 2010 Elsevier Ltd. All rights reserved.
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