A modified Primal-Dual Logarithmic-Barrier Method for solving the Optimal Power Flow problem with discrete and continuous control variables

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

A barrier method for constrained nonlinear optimization using a modified Hopfield network

The ability of neural networks to realize some complex nonlinear function makes them attractive for system identification. This paper describes a novel barrier method using artificial neural networks to solve robust parameter estimation problems for nonlinear model with unknown-but-bounded errors and uncertainties. This problem can be represented by a typical constrained optimization problem. More specifically, a modified Hopfield network is developed and its internal parameters are computed using the valid-subspace technique. These parameters guarantee the network convergence to the equilibrium points. A solution for the robust estimation problem with unknown-but-bounded error corresponds to an equilibrium point of the network. Simulation results are presented as an illustration of the proposed approach.

Modified barrier method for optimal power flow problem

In this paper is presented a new approach for optimal power flow problem. This approach is based on the modified barrier function and the primal-dual logarithmic barrier method. A Lagrangian function is associated with the modified problem. The first-order necessary conditions for optimality are fulfilled by Newton's method, and by updating the barrier terms. The effectiveness of the proposed approach has been examined by solving the Brazilian 53-bus, IEEE118-bus and IEEE162-bus systems.

A modified Primal-Dual Logarithmic-Barrier Method for solving the Optimal Power Flow problem with discrete and continuous control variables

The aim of solving the Optimal Power Flow problem is to determine the optimal state of an electric power transmission system, that is, the voltage magnitude and phase angles and the tap ratios of the transformers that optimize the performance of a given system, while satisfying its physical and operating constraints. The Optimal Power Flow problem is modeled as a large-scale mixed-discrete nonlinear programming problem. This paper proposes a method for handling the discrete variables of the Optimal Power Flow problem. A penalty function is presented. Due to the inclusion of the penalty function into the objective function, a sequence of nonlinear programming problems with only continuous variables is obtained and the solutions of these problems converge to a solution of the mixed problem. The obtained nonlinear programming problems are solved by a Primal-Dual Logarithmic-Barrier Method. Numerical tests using the IEEE 14, 30, 118 and 300-Bus test systems indicate that the method is efficient. (C) 2012 Elsevier B.V. All rights reserved.

Reduced gradient method combined with augmented Lagrangian and barrier for the optimal power flow problem

A new approach for solving the optimal power flow (OPF) problem is established by combining the reduced gradient method and the augmented Lagrangian method with barriers and exploring specific characteristics of the relations between the variables of the OPF problem. Computer simulations on IEEE 14-bus and IEEE 30-bus test systems illustrate the method. (c) 2007 Elsevier Inc. All rights reserved.

Loss minimization by the predictor-corrector modified barrier approach

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Primal-dual logarithmic barrier and augmented Lagrangian function to the loss minimization in power systems

This article presents a new approach to minimize the losses in electrical power systems. This approach considers the application of the primal-dual logarithmic barrier method to voltage magnitude and tap-changing transformer variables, and the other inequality constraints are treated by augmented Lagrangian method. The Lagrangian function aggregates all the constraints. The first-order necessary conditions are reached by Newton's method, and by updating the dual variables and penalty factors. Test results are presented to show the good performance of this approach.

Logarithmic barrier-augmented Lagrangian function to the optimal power flow problem

This paper presents a new approach to solve the Optimal Power Flow problem. This approach considers the application of logarithmic barrier method to voltage magnitude and tap-changing transformer variables and the other constraints are treated by augmented Lagrangian method. Numerical test results are presented, showing the effective performance of this algorithm. (C) 2005 Elsevier Ltd. All rights reserved.

A homotopy approach for stabilizing single-input systems with control structure constraints

A linear state feedback gain vector used in the control of a single input dynamical system may be constrained because of the way feedback is realized. Some examples of feedback realizations which impose constraints on the gain vector are: static output feedback, constant gain feedback for several operating points of a system, and two-controller feedback. We consider a general class of problems of stabilization of single input dynamical systems with such structural constraints and give a numerical method to solve them. Each of these problems is cast into a problem of solving a system of equalities and inequalities. In this formulation, the coefficients of the quadratic and linear factors of the closed-loop characteristic polynomial are the variables. To solve the system of equalities and inequalities, a continuous realization of the gradient projection method and a barrier method are used under the homotopy framework. Our method is illustrated with an example for each class of control structure constraint.

Eventos cardíacos decorrentes da infusão contínua de cloridrato de amiodarona: implicações para o enfermeiro

O objeto de estudo são os eventos cardíacos resultantes da infusão contínua de cloridrato de amiodarona em pacientes que evoluíram com fibrilação atrial em pós-operatório de cirurgia cardíaca. Os objetivos foram descrever as características dos pacientes que receberam infusão contínua de cloridrato de amidoarona, apresentar a prevalência de bradicardia e hipotensão encontrada nos pacientes que receberam infusão contínua de cloridrato de amiodarona e discutir as implicações dos achados para a prática dos enfermeiros a partir da prevalência encontrada de bradicardia e hipotensão decorrente da infusão contínua desta substância. Trata-se de um estudo transversal, retrospectivo, documental, por meio de análise de prontuários e avaliação quantitativa dos mesmos. Desenvolvida em uma unidade de pós-operatório de cirurgia cardíaca em um hospital universitário pertencente à rede sentinela no município do Rio de Janeiro. Foi considerado hipotensão em presença de PAS menor que 90 mmHg e bradicardia em presença de frequência cardíaca menor que 60 bpm. As variáveis que caracterizavam a população do estudo e as aferições de pressão arterial e frequência cardíaca foram transcritas para um instrumento de coleta de dados dos anos de 2010 e 2011, gerando 1782 horas de infusão contínua de cloridrato de amiodarona em 27 pacientes cirúrgicos (10,50%). Tratou-se de uma população predominantemente feminina, com idade a cima de 60 anos, período de internação superior a uma semana, apresentava hipertensão arterial prévia (59,26%), era portadora de fibrilação atrial (55,56%) e o diagnóstico cirúrgico de revascularização do miocárdio com circulação extracorpórea foi predominante (70,37%). Os dados mostram que 85,19% dos pacientes eram portadores de pelo menos um fator de risco, 70,37% apresentavam dois fatores de risco e 55,55% apresentavam três fatores de risco para desenvolver fibrilação atrial no pós-operatório de cirurgia cardíaca. Foi encontrada uma prevalência de 85,19% pacientes que apresentaram bradicardia, 66,67% apresentaram hipotensão e 59,26% apresentaram tanto bradicardia como hipotensão. Foram 160 episódios de bradicardia com 6,40 episódios por paciente e 77 episódios de hipotensão com 4,2 por paciente. A bradicardia ocorreu principalmente entre 48 e 72 horas do inicio da infusão. Já a hipotensão aumentou progressivamente nas primeiras 48 horas de infusão. Na presença de bradicardia a intervenção mais frequente foi redução da vazão de amiodarona já na presença de hipotensão, a manutenção de infusão de noradrenalina foi a conduta mais regular. Como estratégia de melhoria para segurança do paciente, foram elaboradas condutas como método de barreira para prevenção de eventos adversos como a bradicardia e hipotensão. Os principais cuidados de enfermagem a serem implementados pelo enfermeiro foram o levantamento de fatores de risco para a fibrilação atrial, a detecção da fibrilação atrial, a manutenção de monitorização cardíaca contínua, aferição horária do ritmo cardíaco e o controle da frequência cardíaca e pressão arterial, objetivando intervir precocemente em presença de hipotensão ou bradicardia.

Conhecimento dos adolescentes sobre métodos contraceptivos: pesquisa-ação em uma unidade do programa saúde da família de Natal

It is a descriptive study with a qualitative approach, and an action-research type, which aimed to analyze the changes of knowledge about contraceptive methods invested to a teenager group attended in Igapó Family Healthcare Unit, in the city of Natal/RN, after consent and institutional assent of Ethics Committee of Rio Grande do Norte Federal University (Protocol No. 131/07). It were researched 16 teenagers of both sexes, with age ranging from 11 to 16 years. We used two structured questionnaires, one in the initial diagnosis and another during the seven meetings of the focus group, in addition to the field notes and the meetings discussions transcriptions. The data-collection was performed in the period of two months by a team composed by a nurse the research coordinator, a dentist, a nursing assistant, a community-based healthcare worker and a nursing academic. The quantitative and qualitative data were organized, tagged and categorized into spreadsheet in Microsoft Excel, being held a thematic analysis of speeches performed by the study participants. The results were presented as tables, graphics, photos, drawings and word clippings. The educational strategy developed in focus group allowed adolescents to discuss, exchange ideas and opinions on several contraceptive methods, providing expansion in knowledge of all contraceptives discussed, especially those natural and surgical, which were less mentioned at the beginning of the study. Among the advantages of the contraceptive methods listed by teenagers, was highlighted avoiding pregnancy and STDs in use of the barrier method of condom. As for the disadvantages more frequently noted by the survey with the misuse of barrier methods, was highlighted get pregnant, acquire STD's and do not prevent STD's in hormonal, natural and surgical methods. Adolescents showed consistency between the advantages and disadvantages and types of contraceptive methods, showing a widening in knowledge among them. It may be said that, in general, those surveyed had a good understanding about the use of the various contraceptive methods. Thus, the study participants had positively evaluated all the criteria used to qualify the meetings in the focus group. The action strategy of the focus group should be encouraged by professionals who work with teenagers, since they prefer to live in groups, one characteristic of adolescence.

Um método primal-dual aplicado na resolução do problema de fluxo de potência ótimo

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Estimativa da profundidade do embasamento na bacia potiguar usando inversão gravimétrica

The gravity inversion method is a mathematic process that can be used to estimate the basement relief of a sedimentary basin. However, the inverse problem in potential-field methods has neither a unique nor a stable solution, so additional information (other than gravity measurements) must be supplied by the interpreter to transform this problem into a well-posed one. This dissertation presents the application of a gravity inversion method to estimate the basement relief of the onshore Potiguar Basin. The density contrast between sediments and basament is assumed to be known and constant. The proposed methodology consists of discretizing the sedimentary layer into a grid of rectangular juxtaposed prisms whose thicknesses correspond to the depth to basement which is the parameter to be estimated. To stabilize the inversion I introduce constraints in accordance with the known geologic information. The method minimizes an objective function of the model that requires not only the model to be smooth and close to the seismic-derived model, which is used as a reference model, but also to honor well-log constraints. The latter are introduced through the use of logarithmic barrier terms in the objective function. The inversion process was applied in order to simulate different phases during the exploration development of a basin. The methodology consisted in applying the gravity inversion in distinct scenarios: the first one used only gravity data and a plain reference model; the second scenario was divided in two cases, we incorporated either borehole logs information or seismic model into the process. Finally I incorporated the basement depth generated by seismic interpretation into the inversion as a reference model and imposed depth constraint from boreholes using the primal logarithmic barrier method. As a result, the estimation of the basement relief in every scenario has satisfactorily reproduced the basin framework, and the incorporation of the constraints led to improve depth basement definition. The joint use of surface gravity data, seismic imaging and borehole logging information makes the process more robust and allows an improvement in the estimate, providing a result closer to the actual basement relief. In addition, I would like to remark that the result obtained in the first scenario already has provided a very coherent basement relief when compared to the known basin framework. This is significant information, when comparing the differences in the costs and environment impact related to gravimetric and seismic surveys and also the well drillings

A new solution to the optimal power flow problem

A new approach to solving the Optimal Power Flow problem is described, making use of some recent findings, especially in the area of primal-dual methods for complex programming. In this approach, equality constraints are handled by Newton's method inequality constraints for voltage and transformer taps by the logarithmic barrier method and the other inequality constraints by the augmented Lagrangian method. Numerical test results are presented, showing the effective performance of this algorithm. © 2001 IEEE.

Analysis of numeric conditioning of Hessian matrix of Lagrangian via singular values

This paper presents an analyze of numeric conditioning of the Hessian matrix of Lagrangian of modified barrier function Lagrangian method (MBFL) and primal-dual logarithmic barrier method (PDLB), which are obtained in the process of solution of an optimal power flow problem (OPF). This analyze is done by a comparative study through the singular values decomposition (SVD) of those matrixes. In the MBLF method the inequality constraints are treated by the modified barrier and PDLB methods. The inequality constraints are transformed into equalities by introducing positive auxiliary variables and are perturbed by the barrier parameter. The first-order necessary conditions of the Lagrangian function are solved by Newton's method. The perturbation of the auxiliary variables results in an expansion of the feasible set of the original problem, allowing the limits of the inequality constraints to be reached. The electric systems IEEE 14, 162 and 300 buses were used in the comparative analysis. ©2007 IEEE.