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Abstract

This paper proposes a power system stabilizer (PSS) with optimal controller parameters for damping low-frequency power oscillations in the power system. A novel meta-heuristic, weighted grey wolf optimizer (WGWO) has been proposed, it is a variant of the grey wolf optimizer (GWO). The proposed WGWO algorithm has been executed in the selection of controller parameters of a PSS in a multi-area power system. A two-area fourmachine test system has been considered for the performance evaluation of an optimally tuned PSS. A multi-objective function based on system eigenvalues has been minimized for obtained optimal controller parameters. The damping characteristics and eigenvalue location in the proposed approach have been compared with the other state-of-the-art methods, which illustrates the effectiveness of the proposed approach.
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Authors and Affiliations

Murali Krishna Gude
1
ORCID: ORCID
Umme Salma Salma
1
ORCID: ORCID

  1. Gandhi Institute of Technology and Management (GITAM), Visakhapatnam, India
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Abstract

In the paper the new paradigm for structural optimization without volume constraint is presented. Since the problem of stiffest design (compliance minimization) has no solution without additional assumptions, usually the volume of the material in the design domain is limited. The biomimetic approach, based on trabecular bone remodeling phenomenon is used to eliminate the volume constraint from the topology optimization procedure. Instead of the volume constraint, the Lagrange multiplier is assumed to have a constant value during the whole optimization procedure. Well known MATLAB topology based optimization code, developed by Ole Sigmund, was used as a tool for the new approach testing. The code was modified and the comparison of the original and the modified optimization algorithm is also presented. With the use of the new optimization paradigm, it is possible to minimize the compliance by obtaining different topologies for different materials. It is also possible to obtain different topologies for different load magnitudes. Both features of the presented approach are crucial for the design of lightweight structures, allowing the actual weight of the structure to be minimized. The final volume is not assumed at the beginning of the optimization process (no material volume constraint), but depends on the material’s properties and the forces acting upon the structure. The cantilever beam example, the classical problem in topology optimization is used to illustrate the presented approach.
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Bibliography

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Authors and Affiliations

Michał Nowak
1
ORCID: ORCID
Aron Boguszewski
1

  1. Poznan University of Technology, Division of Virtual Engineering, ul. Jana Pawła II 24, 60-965 Poznań, Poland
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Abstract

This article considers Steven Pinker’s recent outlook presented in his book Enlightenment Now. The Case for Reason, Science, Humanism and Progress. The paper discusses not only current political and philosophical Pinker’s views on a considerable number of evidences in favor of mankind’s progress in the last period. The authors claims that Pinker’s views may serve as an antidote to the contemporary pessimism that is being spread inter alia by mass media. The reader is pulled into a debate regarding issues surrounding the contemporary state of being of the human race. This is something more than just pop-scientific excursion of a well-established specialist beyond his area of expertise, but a valuable aggregate of data enticing also to professionals from the realm of sociology, philosophy and politics. Above all Pinker’s voice should be regarded as a counterbalance to all-pervasive pejorism and however momentary relief.

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Authors and Affiliations

Paweł Dziedziul
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Abstract

The demand for energy on a global scale increases day by day. Unlike renewable energy sources, fossil fuels have limited reserves and meet most of the world’s energy needs despite their adverse environmental effects. This study presents a new forecast strategy, including an optimization-based S-curve approach for coal consumption in Turkey. For this approach, Genetic Algorithm (GA) and Particle Swarm Optimization (PSO), Grey Wolf Optimization (GWO), and Whale Optimization Algorithm (WOA) are among the meta-heuristic optimization techniques used to determine the optimum parameters of the S-curve. In addition, these algorithms and Artificial Neural Network (ANN) have also been used to estimate coal consumption. In evaluating coal consumption with ANN, energy and economic parameters such as installed capacity, gross generation, net electric consumption, import, export, and population energy are used for input parameters. In ANN modeling, the Feed Forward Multilayer Perceptron Network structure was used, and Levenberg-Marquardt Back Propagation has used to perform network training. S-curves have been calculated using optimization, and their performance in predicting coal consumption has been evaluated statistically. The findings reveal that the optimization-based S-curve approach gives higher accuracy than ANN in solving the presented problem. The statistical results calculated by the GWO have higher accuracy than the PSO, WOA, and GA with R 2 = 0.9881, RE = 0.011, RMSE = 1.079, MAE = 1.3584, and STD = 1.5187. The novelty of this study, the presented methodology does not need more input parameters for analysis. Therefore, it can be easily used with high accuracy to estimate coal consumption within other countries with an increasing trend in coal consumption, such as Turkey.
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Authors and Affiliations

Mustafa Seker
1
ORCID: ORCID
Neslihan Unal Kartal
2
Selin Karadirek
3
Cevdet Bertan Gulludag
3

  1. Sivas Cumhuriyet University, Turkey
  2. Burdur Mehmet Akif Ersoy University, Turkey
  3. Akdeniz University, Antalya, Turkey
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Abstract

This research deals with the development of an optimization system to minimize employee noise exposure in the work environment. It is known from the literature that continuous exposure to high noise levels can cause heart overload, stress, fatigue, and increase accident numbers at a production line. Thus, it is necessary to develop acoustic solutions at an industrial level that could minimize failures and accident occurrences. The rules that regulate occupational noise exposures allow an assessment of the degrees of exposure and subsequent corrections of working conditions. It is observed that the exposure is necessary for further evaluation and correction. Therefore, this research proposes to simulate occupational noise exposure conditions through mathematical models implemented in C++, using the GUROBI linear optimization package and to act previously to minimize ONIHL (Occupational Noise-Induced Hearing Loss). One of this work results is based on Doses Values, TWA (Time Weighted Average) and Distances Covered, using these three factors simultaneously through the optimization, it obtains a route that minimizes exposure and avoids ONIHL. Although there is a need for balanced doses between employees, to this end, the Designation Problem was implemented. Thus, with the routes obtained by optimization, an efficient allocation task was made for the maintenance crew, resulting in minimized and balanced doses. This model was applied to a real industrial plant that will not be identified, only methodology and results obtained will be presented.
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Authors and Affiliations

Déborah Reis
1
João Miranda
1
Jorge Reis
1
Marcus Duarte
1

  1. Department of Mechanics, Faculty of Mechanical Engineering, UFU Universidade Federal de Uberlândia, Uberlândia, Brazil
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Abstract

The hybridization of a recently suggested Harris hawk’s optimizer (HHO) with the traditional particle swarm optimization (PSO) has been proposed in this paper. The velocity function update in each iteration of the PSO technique has been adopted to avoid being trapped into local search space with HHO. The performance of the proposed Integrated HHO-PSO (IHHOPSO) is evaluated using 23 benchmark functions and compared with the novel algorithms and hybrid versions of the neighbouring standard algorithms. Statistical analysis with the proposed algorithm is presented, and the effectiveness is shown in the comparison of grey wolf optimization (GWO), Harris hawks optimizer (HHO), barnacles matting optimization (BMO) and hybrid GWO-PSO algorithms. The comparison in convergence characters with the considered set of optimization methods also presented along with the boxplot. The proposed algorithm is further validated via an emerging engineering case study of controller parameter tuning of power system stability enhancement problem. The considered case study tunes the parameters of STATCOM and power system stabilizers (PSS) connected in a sample power network with the proposed IHHOPSO algorithm. A multi-objective function has been considered and different operating conditions has been investigated in this papers which recommends proposed algorithm in an effective damping of power network oscillations.
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Authors and Affiliations

Ramesh Devarapalli
1
ORCID: ORCID
Vikash Kumar
1

  1. Department of Electrical Engineering, B.I.T. Sindri, Dhanbad, Jharkhand, India
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Abstract

Optimization in mine planning could improve the economic benefit for mining companies. The main optimization contents in an underground mine includes stope layout, access layout and production scheduling. It is common to optimize each part sequentially, where optimal results from one phase are treated as the input for the next phase. The production schedule is based on the mining design. Access layout plays an important role in determining the connection relationships between stopes. This paper proposes a shortest-path search algorithm to design a network that automatically connects each stope. Access layout optimization is treated as a network flow problem. Stopes are viewed as nodes, and the roads between the stopes are regarded as edges. Moreover, the decline location influences the ore transport paths and haul distances. Tree diagrams of the ore transportation path are analyzed when each stope location is treated as an alternative decline location. The optimal decline location is chosen by an enumeration method. Then, Integer Programming (IP) is used to optimize the production scheduling process and maximize the Net Present Value (NPV). The extension sequence of access excavation and stope extraction is taken into account in the optimization model to balance access development and stope mining. These optimization models are validated in an application involving a hypothetical gold deposit, and the results demonstrate that the new approach can provide a more realistic solution compared with those of traditional approaches.

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Authors and Affiliations

Jie Hou
Guoqing Li
Nailian Hu
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Abstract

In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equation. First we get the linearized maximum principle. Further, the concept of a quasi-singular control is introduced and, on this basis, an analogue of the Legendre-Clebsch conditions is obtained. When the analogue of Legendre- Clebsch condition degenerates, a necessary high-order optimality condition is derived. An illustrative example is considered.
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Authors and Affiliations

Shakir Sh. Yusubov
1
Elimhan N. MahmudoV
2 3
ORCID: ORCID

  1. Department of Mechanics and Mathematics, Baku State University, Baku, Azerbaijan
  2. Department of Mathematics, Istanbul Technical University, Istanbul, Turkey
  3. Azerbaijan National Aviation Academy, Baku, Azerbaijan
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Abstract

Poly(glycerol sebacate) (PGS) is a polyester that is particularly useful for tissue engineering appli- cations. Many researchers have focused on the application and characterization of materials made from PGS. Synthesis is often superficially described, and the prepolymer is not characterized before crosslinking. Considering the different functionality of each monomer (glycerine – 3, sebacic acid – 2), materials with a branched structure can be obtained before the crosslinking process. Branched struc- tures are not desirable for elastomers. In this work, method to obtain linear PGS resins is presented. Moreover, synthesis was optimized with the use of the Design of Experiments method for minimizing the degree of branching and maximizing the molecular weight. The process was described via mathe- matical models, which allows to the association of process parameters with product properties. In this work ca. 1kDa and less than 10% branched PGS resin was produced. This resin could be used to make very flexible elastomers because branching is minimized.
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Authors and Affiliations

Michał Wrzecionek
1
Joanna Howis
1
Paulina H. Marek
1 2
Paweł Ruśkowski
1
ORCID: ORCID
Agnieszka Gadomska-Gajadhur
1
ORCID: ORCID

  1. Warsaw University of Technology, Faculty of Chemistry, Noakowskiego 3, 00-664 Warsaw, Poland
  2. University of Warsaw, Faculty of Chemistry, Pasteura 1, 02-093 Warsaw, Poland
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Abstract

This article presents methods and algorithms for the computation of isogenies of degree ℓn. Some of these methods are obtained using recurrence equations and generating functions. A standard multiplication based algorithm for computation of isogeny of degree ℓn has time complexity equal to O(n2 M (n log n)), where M(N) denotes the cost of integers of size N multiplication. The memory complexity of this algorithm is equal to O (n log (n log (n))). In this article are presented algorithms for:

  • determination of optimal strategy for computation of degree ℓn isogeny,
  • determination of cost of optimal strategy of computation of ℓn isogeny using solutions of recurrence equations,
  • determination of cost of optimal strategy of computation of ℓn isogeny using recurrence equations,

where optimality in this context means that, for the given parameters, no other strategy exists that requires fewer operations for computation of isogeny.

Also this article presents a method using generating functions for obtaining the solutions of sequences (um) and (cm) where cm denotes the cost of computations of isogeny of degree ℓum for given costs p; q of ℓ-isogeny computation and ℓ-isogeny evaluation. These solutions are also used in the construction of the algorithms presented in this article.

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Authors and Affiliations

Michał Wroński
Andrzej Chojnacki
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Abstract

The issue of transportation is a particular type of mathematical programming that facilitates searching for and determining an optimal distribution network, considering the set of suppliers and recipients. This paper uses a numerical example to present a solution to a transport problem utilizing classical computation methods, i.e., the northwest corner, the least cost in a matrix, and the VAM approximation method. The objective of the paper was to develop tools in the form of algorithms that would then be implemented in three various computing environments (R, GNU Octave, and Matlab) that allow us to optimize transport costs within an assumed supply network. The model involved determining decision variables and indicating limiting conditions. Furthermore, the authors interpreted and visualized the obtained results. The implementation of the proposed solution enables users to determine an optimal transport plan for individually defined criteria.
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Authors and Affiliations

Joanna Szkutnik-Rogoż
1
ORCID: ORCID
Jerzy Małachowski
2
ORCID: ORCID

  1. Military University of Technology, Cybernetics Faculty, gen. Kaliskiego 2, 00-908 Warsaw, Poland
  2. Military University of Technology, Faculty of Mechanical Engineering, gen. Kaliskiego 2, 00-908 Warsaw, Poland
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Abstract

The article describes optimization of the process of acceleration of the tower crane trolley movement mechanism during the steady mode of the slewing mechanism. A mathematical model of the boom system of the tower crane was used for the optimization of the trolley movement. The model was reduced to a sixth-order linear differential equation with constant coefficients, which represents the relationships between the drive torque and the coordinate of the load and its time derivatives. Non-dimensional complex criterion (objective function), which takes into account the drive torque and its rate of change in time during the transient process, was developed to optimize the mode of the trolley movement mechanism. Based on that, a variational problem was formulated and solved in an analytical form in which root-mean-square (RMS) values of the quantiles were applied. A complex optimal mode of acceleration of the trolley movement mechanism was obtained and compared with the modes optimized based on different criteria. Advantages and disadvantages of the solutions were discussed based on the analysis of the obtained optimal modes of motion. The analysis revealed low- and high-frequency elements oscillations of the trolley movement mechanism during the transient processes. The conditions for their elimination were formulated.
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Bibliography

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Authors and Affiliations

Viatcheslav Loveikin
1
Yuriy Romasevych
1
ORCID: ORCID
Andriy Loveikin
2
Mykola Korobko
1
ORCID: ORCID

  1. National University of Life and Environmental Sciences of Ukraine, Kyiv, Ukraine
  2. Taras Shevchenko National University of Kyiv, Ukraine
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Abstract

The paper presents application of direct pseudospectral Chebyshev method for solving a commercial airplane trajectory optimization problem. This method employs Nth-degree Lagrange polynomial approximations for the state and control variables with the values of these variables at the Chebyshev-Gauss-Lobatto (CGL) points as the expansion coefficients. This process is converted to a nonlinear programming problem (NLP) with the state and control values at the CGL points as unknown NLP parameters. The kinetic model of flight is formulated, where it is assumed that an airplane is a particle and the motion takes place in the vertical plane. The method is implemented in Matlab using sequential quadratic programming algorithm (SQP) as an efficient solver. Sensitivity analyses are performed concerning the influence of the degree of discretization and the initial approximation on the solution. Three examples of optimized trajectories in presence of wind are shown.
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Authors and Affiliations

Przemysław Panasz
Ryszard Maroński
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Abstract

The paper presents methodology for calculating optimal drive torques which ensure reduced or minimal fuel consumption and emission of toxic components of exhaust gas during acceleration of a car. Data for fuel consumption and toxic emission in dynamic conditions (for a run with changeable speed) are obtained using experimental measurements during typical drive tests. A dynamic optimization problem for calculating a drive torque has been formulated using dynamic characteristics and a simple mat hematical model a vehicle when travelling in a straight line. The optimization problem has been solved for a drive with petrol and LPG. Results of numerical calculations followed by conclusions are presented.
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Authors and Affiliations

Kazimierz Rozmaniszyn
Stanisław Wojciech
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Abstract

In the present study, the problem of optimization of the motion mode of the tower crane's slewing mechanism in the steady-state mode of trolley movement is stated and solved. An optimization criterion, which includes the RMS values of the drive torque and the rate of its change over time, is minimized. The optimization is carried out taking into account the drive torque constraints, and under the specified boundary conditions of motion. Three optimization problems at different values of the weight coefficients are solved. In the first problem, priority is given to the drive torque, in the third – to the rate of the drive torque change, and in the second problem, the significance of both components is assumed equal. The optimization problems are nonlinear, thus a VСT-PSO method is applied to solve them. The obtained optimal start-up modes of the crane slewing mechanism eliminate pendulum load oscillations and high-frequency elastic oscillations of the tower. Most of the kinematic, dynamical, and power parameters at different values of the weight coefficients are quite close to each other. It indicates that the optimal modes of motion are significantly influenced by the boundary conditions, optimization parameters, and constraints
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[15] Z. Liu, T. Yang, N. Sun, and Y. Fang. An antiswing trajectory planning method with state constraints for 4-DOF tower cranes: Design and experiments. IEEE Access, 7: 62142–62151, 2019. doi: 10.1109/ACCESS.2019.2915999.
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Authors and Affiliations

Viacheslav Loveikin
1
ORCID: ORCID
Yuriy Romasevych
1
ORCID: ORCID
Andrii Loveilin
2
ORCID: ORCID
Mykola Korobko
1
ORCID: ORCID
Anastasia Liashko
1
ORCID: ORCID

  1. National University of Life and Environmental Sciences of Ukraine, Kyiv, Ukraine
  2. Taras Shevchenko National University of Kyiv, Ukraine
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Abstract

Due to the nonlinear current-voltage (I-V) relationship of the photovoltaic (PV) module, building a precise mathematical model of the PV module is necessary for evaluating and optimizing the PV systems. This paper proposes a method of building PV parameter estimation models based on golden jackal optimization (GJO). GJO is a recently developed algorithm inspired by the idea of the hunting behavior of golden jackals. The explored and exploited searching strategies of GJO are built based on searching for prey as well as harassing and grabbing prey of golden jackals. The performance of GJO is considered on the commercial KC200GT module under various levels of irradiance and temperature. Its performance is compared to well-known particle swarm optimization (PSO), recent Henry gas solubility optimization (HGSO) and some previous methods. The obtained results show that GJO can estimate unknown PV parameters with high precision. Furthermore, GJO can also provide better efficiency than PSO and HGSO in terms of statistical results over several runs. Thus, GJO can be a reliable algorithm for the PV parameter estimation problem under different environmental conditions.
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Authors and Affiliations

Thuan Thanh Nguyen
1
ORCID: ORCID

  1. Faculty of Electrical Engineering Technology, Industrial University of Ho Chi Minh City, No. 12 Nguyen Van Bao, Ward 4, Go Vap District, Ho Chi Minh City, Vietnam
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Abstract

This paper presents the application of an improved ant colony optimization algorithm called mixed integer distributed ant colony optimization to optimize the power flow solution in power grids. The results provided indicate an improvement in the reduction of operational costs in comparison with other optimization algorithms used in optimal power flow studies. The application was realized to optimize power flow in the IEEE 30 and the IEEE 57 bus test cases with the objective of operational cost minimization. The optimal power flow problem described is a non-linear, non-convex, complex and heavily constrained problem.

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Authors and Affiliations

Vishnu Suresh
Przemyslaw Janik
Michal Jasinski
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Abstract

Given that a source is located underground and detected by sounds that cannot be completely known or predicted, every stage of the operation from grade changes to product sales exhibits uncertainties. Parameters and constraints used in mining optimizations (sales price, costs, efficiency, etc.) comprise uncertainties. In this research, chrome open-pit resource optimization activities were performed in the province of Adana, Turkey. Metallurgical recovery, which is considered a constant as an optimization parameter in mining software, has been optimized as a variable based on fixed and variable values related to the waste material grade of processing. Based on scenario number 7, which yields the highest net present value in both optimizations, this difference corresponds with an additional $1.4 million, i.e., 7% minimum. When the number of products sold were compared, a difference of 25,977 tons of concentrate production was noted (Optimization II produces less than Optimization I). In summary, concentrated efficiency and economic findings show that using variable metallurgical recovery parameters in NPV estimation improves optimization success by reducing the level of uncertainty.
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Authors and Affiliations

Furkan K. Kasa
1
ORCID: ORCID
Ahmet Dağ
1
ORCID: ORCID

  1. Çukurova University, Department of Mining Engineering, Adana, Turkey
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Abstract

We consider in this work a class of finite dimensional time-varying linear disturbed systems. The main objective of this work is to studied the optimal control which ensures the remediability of a disturbance of time-varying disturbed systems. The remediability concept consist to find a convenient control which bringing back the corresponding observation of disturbed system to the normal one at the final time. We give firstly some characterisations of compensation and in second party we find a control which annul the output of the system and we show also that the Hilbert Uniqueness Method can be used to solve the optimal control which ensure the remediability.Ageneral approachwas given to minimize the linear quadratic problem. Examples and numerical simulations are given.
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Authors and Affiliations

El Mostafa Magri
1
Chadi Amissi
1
Larbi Afifi
1
Mustapha Lhous
1

  1. Fundamental and Applied Mathematics Laboratory, Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, B.P.5366-Maârif, Casablanca, Morocco
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Abstract

In this paper, the applications of the multivariate data analysis and optimization on vibration signals from compressors have been tested on the assembly line to identify nonconforming products. The multivariate analysis has wide applicability in the optimization of weather forecasting, agricultural experiments, or, as in this case study, in quality control. The techniques of discriminant analysis and linear program were used to solve the problem. The acceleration and velocity signals used in this work were measured in twenty-five rotating compressors, of which eleven were classified as good baseline compressors and fourteen with manufacturing defects by the specialists in the final acoustic test of the production line. The results obtained with the discriminant analysis separated the conforming and nonconforming groups with a significance level of 0.01, which validated the proposed methodology.

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Authors and Affiliations

Déborah Reis
Fernanda Vanzo
Jorge Reis
Marcus Duarte
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Abstract

Current drive control systems tend to push control loops to the limits of their performance. One of the ways of doing so is to use advanced optimization algorithms, usually related to model-based off-line calculations, such as genetic algorithms, the particle swarmoptimisation or the others. There is, however, a simpler way, namely to use predictive control formalism and by formulation of a simple linear programming problem which is easy to solve using powerful solvers, without excessive computational burden, what is a reliable solution, as whenever the optimization problem has a feasible solution, a global minimizer can be efficiently found. This approach has been deployed for a servo drive system operated by a real-time sampled-data controller, verified between model-in-the-loop and hardwarein- the-loop configurations, for a range of prediction horizons, as an attractive alternative to classical quadratic programming-related formulation of predictive control task.
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Authors and Affiliations

Dariusz Horla
1
ORCID: ORCID
Piotr Pinczewski
2

  1. Institute of Robotics and Machine Intelligence, Poznan University of Technology, Piotrowo 3a Str., 60-965 Poznan, Poland
  2. IT.integro sp. z o.o. Zabkowicka 12 Str., 60-166 Poznan, Poland
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Abstract

This paper presents the optimal PID tuning study to improve the dynamic performance of an automatic voltage regulation (AVR) system. The system under study consists of a synchronous generator whose reference voltage changes in a step function and tries to overcome the transient behavior of its terminal voltage smoothly. To optimally control the performance, different optimization techniques are applied to tune the controller gains to obtain the minimum steady state error (main objective) and better dynamic characteristics (rise time, settling time, max overshoot, etc.). Then the AVR system responses with a PID controller based on different optimization techniques are compared to find out which is the best technique.
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Bibliography

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Authors and Affiliations

Haya Hesham
1
ORCID: ORCID
M. Ezzat
1
Rania A. Swief
1
ORCID: ORCID

  1. Electrical Power and Machines Department, Faculty of Engineering, Ain Shams University, 1 Elsarayat St., Abbaseya, 11517 Cairo, Egypt
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Abstract

This paper presents a 3D distance measurement accuracy improvement for stereo vision systems using optimization methods A Stereo Vision system is developed and tested to identify common uncertainty sources. As the optimization methods are used to train a neural network, the resulting equation can be implemented in real time stereo vision systems. Computational experiments and a comparative analysis are conducted to identify a training function with a minimal error performance for such method. The offered method provides a general purpose modelling technique, attending diverse problems that affect stereo vision systems. Finally, the proposed method is applied in the developed stereo vision system and a statistical analysis is performed to validate the obtained improvements.

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Authors and Affiliations

J.C. Rodríguez-Quiñonez
O. Sergiyenko
W. Flores-Fuentes
M. Rivas-lopez
D. Hernandez-Balbuena
R. Rascón
P. Mercorelli

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