Pub Date : 2020-07-07DOI: 10.1504/ijmmno.2020.10030431
S. Surulere, M. Shatalov, A. C. Mkolesia, J. Ehigie
Many well-known semiempirical potential energy functions have been used to construct potential energy curves from the physical or chemical properties of atoms. In this study, we identify the Lennard-Jones and Biswas-Hamann potential parameters and use these to calculate and reconstruct potential energy curves using experimental datasets of gold atom. Two different approaches are studied in detail. The Lennard-Jones potential yielded complex conjugate eigenvalues for both approaches. Numerical estimates proved the considered approaches gives better approximations as constructed and reconstructed potential energy curves were almost graphically indistinguishable.
{"title":"The integral-differential and integral approach for the estimation of the classical Lennard-Jones and Biswas-Hamann potentials","authors":"S. Surulere, M. Shatalov, A. C. Mkolesia, J. Ehigie","doi":"10.1504/ijmmno.2020.10030431","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10030431","url":null,"abstract":"Many well-known semiempirical potential energy functions have been used to construct potential energy curves from the physical or chemical properties of atoms. In this study, we identify the Lennard-Jones and Biswas-Hamann potential parameters and use these to calculate and reconstruct potential energy curves using experimental datasets of gold atom. Two different approaches are studied in detail. The Lennard-Jones potential yielded complex conjugate eigenvalues for both approaches. Numerical estimates proved the considered approaches gives better approximations as constructed and reconstructed potential energy curves were almost graphically indistinguishable.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89881343","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-07DOI: 10.1504/ijmmno.2020.10030437
Ahmed Tchvagha Zeine, E. Pagnacco, R. Ellaia
In this paper, a new multi-objective immune algorithm (MOIAs) called BIAMO is proposed for tackling continuous multi-objective optimisation problems. It uses the updated archive to sort the non-dominated solutions of the Pareto front as well as the mutation and crossover operators of the backtracking search algorithm (BSA). Experimental results are produced for various benchmark problems and for a variety of engineering design problems. They show that, compared to the recent multi-objective optimisation evolutionary algorithms, the proposed algorithm improves not only the convergence capacity but also preserves the diversity of the population. In this paper, thirteen benchmark and engineering design problems are presented and the obtained results were compared with other well-known optimisers. The obtained results demonstrate that the proposed algorithm requires less number of function evaluations and in most cases gives better results compared to others considered algorithms.
{"title":"Backtracking immune algorithm for continuous multi-objective optimisation","authors":"Ahmed Tchvagha Zeine, E. Pagnacco, R. Ellaia","doi":"10.1504/ijmmno.2020.10030437","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10030437","url":null,"abstract":"In this paper, a new multi-objective immune algorithm (MOIAs) called BIAMO is proposed for tackling continuous multi-objective optimisation problems. It uses the updated archive to sort the non-dominated solutions of the Pareto front as well as the mutation and crossover operators of the backtracking search algorithm (BSA). Experimental results are produced for various benchmark problems and for a variety of engineering design problems. They show that, compared to the recent multi-objective optimisation evolutionary algorithms, the proposed algorithm improves not only the convergence capacity but also preserves the diversity of the population. In this paper, thirteen benchmark and engineering design problems are presented and the obtained results were compared with other well-known optimisers. The obtained results demonstrate that the proposed algorithm requires less number of function evaluations and in most cases gives better results compared to others considered algorithms.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75179875","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-07DOI: 10.1504/ijmmno.2020.10030433
L. Korotka, D. Zelentsov
In the work on solving problems of optimal design, structures working in aggressive external environments, a modified method is proposed, which is based on the flexible tolerance method. The proposed method allows to control the accuracy of solving systems of differential equations when calculating the constraint functions of an optimisation problem. Based on the information about the degree of closeness of the point of the solution space to the local extremum point, which is received by the neural network controller, its parameters change. For this purpose, various matrices of neural network synapses, trained for different precisions of calculating the functions of constraints, are used. This strategy is used to modify the flexible tolerance method, based on the use of a neural network controller. As a criterion of the flexible tolerance, the error of calculating the constraint functions is used. It is shown that the use of a neural network regulator of the accuracy of calculating the restriction functions in the modified flexible tolerance method allows to significantly increase its efficiency while simultaneously obtaining a solution to the problem with a given accuracy and compensating the computational costs connected with using the α-level generalisation principle.
{"title":"Method of solving optimal design problems based on flexible tolerance strategy","authors":"L. Korotka, D. Zelentsov","doi":"10.1504/ijmmno.2020.10030433","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10030433","url":null,"abstract":"In the work on solving problems of optimal design, structures working in aggressive external environments, a modified method is proposed, which is based on the flexible tolerance method. The proposed method allows to control the accuracy of solving systems of differential equations when calculating the constraint functions of an optimisation problem. Based on the information about the degree of closeness of the point of the solution space to the local extremum point, which is received by the neural network controller, its parameters change. For this purpose, various matrices of neural network synapses, trained for different precisions of calculating the functions of constraints, are used. This strategy is used to modify the flexible tolerance method, based on the use of a neural network controller. As a criterion of the flexible tolerance, the error of calculating the constraint functions is used. It is shown that the use of a neural network regulator of the accuracy of calculating the restriction functions in the modified flexible tolerance method allows to significantly increase its efficiency while simultaneously obtaining a solution to the problem with a given accuracy and compensating the computational costs connected with using the α-level generalisation principle.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80229334","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-03-13DOI: 10.1504/ijmmno.2020.10027650
Noureddine Jilani Ben Naouara, F. Trabelsi
In this paper, we introduce a new optimal multiple stopping times problem, where we assume each exercise right happens before the date of release of a catastrophic event modelled by a random variable and this catastrophe can be natural (e.g., earthquake, tsunami) or technological (e.g., nuclear event). Since a sudden catastrophe will have a direct influence on prices variation, especially those of underlying as well as option's prime, eventual catastrophic event will be modelled by the first time the underlying's price exceeds some large barrier. The originality of this paper comes from a mathematical model taking account of a nonlinear criteria of sum of the underlying stopped at stopping times of the holder's filtration information as well as a random number of exercise rights at sopping times involving prior to a catastrophic event. This will generalises the concept of swing contracts, where the exercise rights number is only deterministic and finite.
{"title":"Optimal multiple stopping under catastrophic event","authors":"Noureddine Jilani Ben Naouara, F. Trabelsi","doi":"10.1504/ijmmno.2020.10027650","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10027650","url":null,"abstract":"In this paper, we introduce a new optimal multiple stopping times problem, where we assume each exercise right happens before the date of release of a catastrophic event modelled by a random variable and this catastrophe can be natural (e.g., earthquake, tsunami) or technological (e.g., nuclear event). Since a sudden catastrophe will have a direct influence on prices variation, especially those of underlying as well as option's prime, eventual catastrophic event will be modelled by the first time the underlying's price exceeds some large barrier. The originality of this paper comes from a mathematical model taking account of a nonlinear criteria of sum of the underlying stopped at stopping times of the holder's filtration information as well as a random number of exercise rights at sopping times involving prior to a catastrophic event. This will generalises the concept of swing contracts, where the exercise rights number is only deterministic and finite.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91370166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-03-13DOI: 10.1504/ijmmno.2020.10027648
Lakmali Weerasena
In this study, we propose a generalisation to the classical set covering problem (SCP) which is one of the representative NP-hard combinatorial problems. In the SCP we are given a set of items and a collection of subsets of them. We find a sub-collection including each item in a given number of sets and introduce conflicting objective functions. We define the new problem as the generalised multi-objective SCP (GMOSCP). This an extension to the classical multi-objective SCP. Developing an algorithm to approximate the Pareto set of the GMOSCP is merited since the GMOSCP is also NP-hard. Thus, we propose an algorithm to approximate the Pareto set of the GMOSCP. Ecological conservation is a common field for its applications; therefore, the performances of the algorithm is verified using real data in ecological conservation. Several experiments have been conducted to validate the performance of the proposed algorithm and compared to Pareto solutions of the GMOSCP.
{"title":"Algorithm for generalised multi-objective set covering problem with an application in ecological conservation","authors":"Lakmali Weerasena","doi":"10.1504/ijmmno.2020.10027648","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10027648","url":null,"abstract":"In this study, we propose a generalisation to the classical set covering problem (SCP) which is one of the representative NP-hard combinatorial problems. In the SCP we are given a set of items and a collection of subsets of them. We find a sub-collection including each item in a given number of sets and introduce conflicting objective functions. We define the new problem as the generalised multi-objective SCP (GMOSCP). This an extension to the classical multi-objective SCP. Developing an algorithm to approximate the Pareto set of the GMOSCP is merited since the GMOSCP is also NP-hard. Thus, we propose an algorithm to approximate the Pareto set of the GMOSCP. Ecological conservation is a common field for its applications; therefore, the performances of the algorithm is verified using real data in ecological conservation. Several experiments have been conducted to validate the performance of the proposed algorithm and compared to Pareto solutions of the GMOSCP.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75519311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-03-13DOI: 10.1504/ijmmno.2020.10027625
Maghnia Hamou Maamar, L. Bouzid, O. Belhamiti, F. Belgacem
In this paper, we examine the Zika virus transmission for human and mosquito populations. At the first time, a compartment model based on two populations, humans and mosquitoes, are proposed and analysed quantitatively using the stability theory of the differential equations. In the second time, a non-human primate (monkey) is considered, we prove the influence of this second reservoir host on the spread of the disease. Numerical simulation of the models is implemented to investigate the effect of certain key parameters on the transmission of Zika virus.
{"title":"Stability and numerical study of theoretical model of Zika virus transmission","authors":"Maghnia Hamou Maamar, L. Bouzid, O. Belhamiti, F. Belgacem","doi":"10.1504/ijmmno.2020.10027625","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10027625","url":null,"abstract":"In this paper, we examine the Zika virus transmission for human and mosquito populations. At the first time, a compartment model based on two populations, humans and mosquitoes, are proposed and analysed quantitatively using the stability theory of the differential equations. In the second time, a non-human primate (monkey) is considered, we prove the influence of this second reservoir host on the spread of the disease. Numerical simulation of the models is implemented to investigate the effect of certain key parameters on the transmission of Zika virus.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84008543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-03-13DOI: 10.1504/ijmmno.2020.10027649
Pooja Raj Verma, R. Verma
A mode-III crack problem for piezo-electro-magnetic strip weakened by two transversely oriented semi-permeable collinear cracks under out-of-plane shear stress and in-plane electric-displacement and magnetic induction is addressed. The problem is formulated and then solved using Fourier series method and integral equation technique. Closed-form analytic expressions are derived for various fracture parameters viz. crack sliding displacement, crack opening potential drop, crack opening induction drop, field intensity factors and energy release rates. Numerical case study is presented graphically for BaTiO3-CoFe2O4 piezo-electro-magnetic material to show the influence of inter-crack distance, volume fractions and electro-magnetic crack-face boundary conditions on crack sliding displacement, crack opening potential drop, crack opening induction drop and energy release rates. Moreover, the effect of prescribed mechanical loadings as well as electro-magnetic loadings on energy release rates are also presented graphically. Results obtained are presented graphically, analyzed and concluded.
{"title":"Magneto-electro-elastic analysis for two mode-III semi-permeable collinear cracks in piezo-electro-magnetic strip","authors":"Pooja Raj Verma, R. Verma","doi":"10.1504/ijmmno.2020.10027649","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10027649","url":null,"abstract":"A mode-III crack problem for piezo-electro-magnetic strip weakened by two transversely oriented semi-permeable collinear cracks under out-of-plane shear stress and in-plane electric-displacement and magnetic induction is addressed. The problem is formulated and then solved using Fourier series method and integral equation technique. Closed-form analytic expressions are derived for various fracture parameters viz. crack sliding displacement, crack opening potential drop, crack opening induction drop, field intensity factors and energy release rates. Numerical case study is presented graphically for BaTiO3-CoFe2O4 piezo-electro-magnetic material to show the influence of inter-crack distance, volume fractions and electro-magnetic crack-face boundary conditions on crack sliding displacement, crack opening potential drop, crack opening induction drop and energy release rates. Moreover, the effect of prescribed mechanical loadings as well as electro-magnetic loadings on energy release rates are also presented graphically. Results obtained are presented graphically, analyzed and concluded.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75953360","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-03-13DOI: 10.1504/ijmmno.2020.10027626
Iyad Abu Doush, N. A. We, Amjad Alrashdan, M. A. A. Betar, M. Awadallah
Community detection is the problem of identifying communities in which we aim to discover groups of nodes with high connectivity within the same group and with low connectivity outside the group. Community detection is considered to be a non-deterministic polynomial-time hard problem. Heuristic algorithms can be used to solve such a complex optimisation problem. Bat algorithm (BA) is a meta-heuristic optimisation algorithm. The BA can be used to model a multi-objective optimisation problem. In this paper, the multi-objective bat algorithm (MOBA) is adapted to model and solve the community detection problem. In order to evaluate the algorithm, four real-world datasets are used. The performance of the algorithm is compared with seven other methods from the literature. The comparison was in terms of two metrics to check the quality of the obtained community namely modularity (Q) and normalised mutual information (NMI). The results show that the proposed algorithm outperforms all algorithms in one dataset and that it is competitive in other cases.
{"title":"Community detection in complex networks using multi-objective bat algorithm","authors":"Iyad Abu Doush, N. A. We, Amjad Alrashdan, M. A. A. Betar, M. Awadallah","doi":"10.1504/ijmmno.2020.10027626","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10027626","url":null,"abstract":"Community detection is the problem of identifying communities in which we aim to discover groups of nodes with high connectivity within the same group and with low connectivity outside the group. Community detection is considered to be a non-deterministic polynomial-time hard problem. Heuristic algorithms can be used to solve such a complex optimisation problem. Bat algorithm (BA) is a meta-heuristic optimisation algorithm. The BA can be used to model a multi-objective optimisation problem. In this paper, the multi-objective bat algorithm (MOBA) is adapted to model and solve the community detection problem. In order to evaluate the algorithm, four real-world datasets are used. The performance of the algorithm is compared with seven other methods from the literature. The comparison was in terms of two metrics to check the quality of the obtained community namely modularity (Q) and normalised mutual information (NMI). The results show that the proposed algorithm outperforms all algorithms in one dataset and that it is competitive in other cases.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89468975","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-02DOI: 10.1504/ijmmno.2020.10026048
A. Majumdar, S. Natesan
In this paper, we study the numerical solutions of singularly perturbed convection-diffusion two-point BVP as well as one-dimensional parabolic convection-diffusion IBVP with discontinuous convection coefficient (positive throughout the domain) and source term. The analytical solutions of these kind of problems exhibit a boundary layer near x = 0 and a weak interior layer near x = ξ. We discretise the spatial domain by the piecewise-uniform Shishkin mesh and the temporal domain by a uniform mesh. To approximate the spatial derivatives, we apply the hybrid finite difference scheme. The implicit-Euler scheme is used for discretising the temporal derivative. For the time independent problem, we derive that the proposed hybrid scheme is e-uniformly convergent of almost second-order and for the time dependent problem, we also prove that the proposed scheme is e-uniformly convergent of almost second-order in space and first-order in time. To validate the theoretical estimates, some numerical results are presented.
{"title":"A higher-order hybrid numerical scheme for singularly perturbed convection-diffusion problem with boundary and weak interior layers","authors":"A. Majumdar, S. Natesan","doi":"10.1504/ijmmno.2020.10026048","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10026048","url":null,"abstract":"In this paper, we study the numerical solutions of singularly perturbed convection-diffusion two-point BVP as well as one-dimensional parabolic convection-diffusion IBVP with discontinuous convection coefficient (positive throughout the domain) and source term. The analytical solutions of these kind of problems exhibit a boundary layer near x = 0 and a weak interior layer near x = ξ. We discretise the spatial domain by the piecewise-uniform Shishkin mesh and the temporal domain by a uniform mesh. To approximate the spatial derivatives, we apply the hybrid finite difference scheme. The implicit-Euler scheme is used for discretising the temporal derivative. For the time independent problem, we derive that the proposed hybrid scheme is e-uniformly convergent of almost second-order and for the time dependent problem, we also prove that the proposed scheme is e-uniformly convergent of almost second-order in space and first-order in time. To validate the theoretical estimates, some numerical results are presented.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90449813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.1504/ijmmno.2020.10026040
Sayantan Sinha, R. Mallick, S. Pattnaik
The proposed research paper mainly focuses on the automatic generation control of an interconnected power system integrated with solar power. The work has taken into consideration a two area power system consisting of a conventional thermal power source and a solar power plant in one area. The penetration of renewable sources gives rise to deviations of frequency from their scheduled values. The AGC plays a very important role in minimising the frequency deviations of the system by reducing the area control error to zero with the help of suitable controllers. A maiden attempt has been made to incorporate two degree of freedom proportional integral and derivative controller for AGC purposed. A novel attempt has been made to design a hybrid optimised dragonfly algorithm - differential evolution technique for tuning the controller gains. The performance of the controller is also compared with the conventional PID controller under a system disturbance of 0.01 p.u when applied to area 1. The system performances are further analysed with varying system parameters and different loading conditions. Comparisons with traditional PID controllers have also been done in terms of dynamic system parameters like settling time, maximum overshoot and minimum undershoot.
{"title":"Frequency regulation of a power system integrated with renewables using a novel DE-DA optimised controller","authors":"Sayantan Sinha, R. Mallick, S. Pattnaik","doi":"10.1504/ijmmno.2020.10026040","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10026040","url":null,"abstract":"The proposed research paper mainly focuses on the automatic generation control of an interconnected power system integrated with solar power. The work has taken into consideration a two area power system consisting of a conventional thermal power source and a solar power plant in one area. The penetration of renewable sources gives rise to deviations of frequency from their scheduled values. The AGC plays a very important role in minimising the frequency deviations of the system by reducing the area control error to zero with the help of suitable controllers. A maiden attempt has been made to incorporate two degree of freedom proportional integral and derivative controller for AGC purposed. A novel attempt has been made to design a hybrid optimised dragonfly algorithm - differential evolution technique for tuning the controller gains. The performance of the controller is also compared with the conventional PID controller under a system disturbance of 0.01 p.u when applied to area 1. The system performances are further analysed with varying system parameters and different loading conditions. Comparisons with traditional PID controllers have also been done in terms of dynamic system parameters like settling time, maximum overshoot and minimum undershoot.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79878178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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