STATCOM controlled power system shows highly non-linear characteristics. In such a structure, linear controllers are easy to apply but difficult to tune. Fine tuning of controller parameters is necessary to meet trans...
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ISBN:
(纸本)9781424465477
STATCOM controlled power system shows highly non-linear characteristics. In such a structure, linear controllers are easy to apply but difficult to tune. Fine tuning of controller parameters is necessary to meet transient performance requirements. In this paper, control system parameters of a STATCOM which is constructed from two six-pulse voltage source based converters are optimized by simplex algorithm which is a non-linear and non-gradient method. System objective function to be minimized is based on a performance index and expressed in terms of measured and desired values of system variables. After optimization, performance of STATCOM control system consisting of two PI controllers and two leag/lag compensators has been tested and verified through a number of simulation studies investigating step-response performance. Precise and quick responses have been observed with optimized parameters.
The simplex algorithm is one of the most popular algorithms to solve linear programs (LPs). Starting at an extreme point solution of an LP, it performs a sequence of basis exchanges (called pivots) that allows one to ...
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ISBN:
(纸本)9783031598340;9783031598357
The simplex algorithm is one of the most popular algorithms to solve linear programs (LPs). Starting at an extreme point solution of an LP, it performs a sequence of basis exchanges (called pivots) that allows one to move to a better extreme point along an improving edge-direction of the underlying polyhedron. A key issue in the simplex algorithm's performance is degeneracy, which may lead to a (potentially long) sequence of basis exchanges which do not change the current extreme point solution. In this paper, we prove that it is always possible to limit the number of consecutive degenerate pivots that the simplex algorithm performs to n - m - 1, where n is the number of variables and m is the number of equality constraints of a given LP in standard equality form.
For its low efficiency in solving constrained optimization problems, the particle swarm optimization (PSO) is combined with immune algorithm (IA) in this paper. At the same time, an adaptive penalty function formula i...
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ISBN:
(纸本)9781509040933
For its low efficiency in solving constrained optimization problems, the particle swarm optimization (PSO) is combined with immune algorithm (IA) in this paper. At the same time, an adaptive penalty function formula is designed to propose a hybrid immune PSO (HIPSO) algorithm for finding solution in constrained optimization problems. Through tests of 13 benchmark functions and three engineering optimization examples, it is clear that the performance of the HIPSO algorithm is equal to that of the HPSO algorithm. Whats more, the IA algorithm is not only better than IA algorithm and the PSO algorithm, but also co-evolutionary algorithm and other six kinds of algorithms.
This thesis examines two topics from the field of computational optimization; architectural layout generation and parallel linear programming. The first topic, a modern problem in heuris- tic optimization, focuses on ...
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This thesis examines two topics from the field of computational optimization; architectural layout generation and parallel linear programming. The first topic, a modern problem in heuris- tic optimization, focuses on deriving a general form of the optimization problem and solving it with the proposed Evolutionary Treemap algorithm. Tests of the algorithm's implementation within a highly scalable web application developed with Scala and the web service framework Play reveal the algorithm is effective at generated layouts in multiple styles. The second topic, a classical problem in operations research, focuses on methodologies for implementing the Sim- plex algorithm on a parallel computer for solving large-scale linear programming problems. Implementations of the algorithm's data-parallel and task parallel forms illuminate the ideal method for accelerating a solver. The proposed Multi-Path simplex algorithm shows an aver- age speed up of over two times that of a popular open-source solver, showing it is an effective methodology for solving linear programming problems.
This thesis considers the application of the Cutting Stock Problem based on the Linear Programming Approach. This is applied in the cutting of paper, glass, steel rod, wood etc. In this thesis, we apply a variant of i...
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This thesis considers the application of the Cutting Stock Problem based on the Linear Programming Approach. This is applied in the cutting of paper, glass, steel rod, wood etc. In this thesis, we apply a variant of it, the One-dimensional Cutting Stock Problem, to the cutting of wood in a sawmill. In a sawmill, boards are first cut along their width (rip) into strips, then the obtained strips are cut along their length (strip cut) into cut-pieces with specific length and demand. The thesis focuses on using simplex algorithm to find optimal cutting patterns. In the simplex algorithm, to determine the entering column (pattern), we solve sub-problem. The sub-problem is of a knapsack type and we solve it using dynamic programming. We develop a computer program based on the above approach to generate optimal cutting patterns.
In this note, we present a simulation exploring the distribution of the number of simplex iterations required to obtain the optimal solution of a randomly-generated linear programming problem of a given size and type....
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In this note, we present a simulation exploring the distribution of the number of simplex iterations required to obtain the optimal solution of a randomly-generated linear programming problem of a given size and type. We use a Chi-square goodness-of-fit test to show that the distribution appears to be well-fit by a gamma distribution.
Sliding mode variable structure controller design is mostly based on pole assignment principle to select the sliding mode surface, however, because of the selection of the poles are based on single parameter and exper...
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The implementation of Light Rail Transit System (LRTS) as an integrated form of public transportation, with the rail corridor running through city centers and connecting major commercial centers, presents interference...
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The implementation of Light Rail Transit System (LRTS) as an integrated form of public transportation, with the rail corridor running through city centers and connecting major commercial centers, presents interference with other modes of transportation especially road transport. So at the intersection of the two modes of transport safety becomes the critical issue. This thesis presents new ideas in developing a system which minimizes the risk at level/quad crossing. So a radar based automatic and coordinated system has developed in this thesis to solve the obstacle detection mechanism in Addis Ababa Light Rail Transit al Level/Quad Crossing (LQC) which is not yet adopted on the line. After reviewing all the available technologies designed for minimizing risk at level/quad crossing here a radar based safety enhancing technology have been presented. Every specification of 122GHz radar system has been mathematically modeled and simulated. A coordination algorithm for both modes of transport have been developed so unwanted interference will be mitigated. Here the radar signal is considered as an actuator to control the train and traffic signaling system. In addition to this, an optimization equation for minimizing the risk and time delay; and maximizing track and road utilization have been developed and simulated. It shows as the time delay is reduced to 8.6136sec from 10.6706sec. A possible interfacing mechanism with the existed system of Addis Ababa Light Transit signaling system has been presented.
Bootstrap percolation is a simple but nontrivial model. It has applications in many areas of science and has been explored on random networks for several decades. In single-layer (simplex) networks, it has been recent...
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Bootstrap percolation is a simple but nontrivial model. It has applications in many areas of science and has been explored on random networks for several decades. In single-layer (simplex) networks, it has been recently observed that bootstrap percolation, which is defined as an incremental process, can be seen as the opposite of pruning percolation, where nodes are removed according to a connectivity rule. Here we propose models of both bootstrap and pruning percolation for multiplex networks. We collectively refer to these two models with the concept of “weak” percolation, to distinguish them from the somewhat classical concept of ordinary (“strong”) percolation. While the two models coincide in simplex networks, we show that they decouple when considering multiplexes, giving rise to a wealth of critical phenomena. Our bootstrap model constitutes the simplest example of a contagion process on a multiplex network and has potential applications in critical infrastructure recovery and information security. Moreover, we show that our pruning percolation model may provide a way to diagnose missing layers in a multiplex network. Finally, our analytical approach allows us to calculate critical behavior and characterize critical clusters.
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