waleed M . Hamanah | Qatar University (original) (raw)

Papers by waleed M . Hamanah

2017 IEEE International Conference on Computational Intelligence and Virtual Environments for Measurement Systems and Applications (CIVEMSA)

This paper presents and discusses the performance evaluation, monitoring and analysis of a Heatin... more This paper presents and discusses the performance evaluation, monitoring and analysis of a Heating, Ventilation and Air Conditioning (HVAC) system in a residence in Saudi Arabia. The installed air conditioning (A/C) system operates in extreme and severe weather conditions. The local area is characterized by a high level of ambient temperature, high irradiation, high humidity and frequent dust storms. The Laboratory Virtual Instrument Engineering Workbench (LabVIEW) interface capabilities achieved several objectives such as system parameters measurements and performance evaluation of the A/C unit. The constructed LabVIEW engine displays the environmental parameters and the electrical variables such as in-house air temperature at several points, air flow, pressure humidity, out-side temperature, irradiation, wind speed, voltage, current and power on the front panel windows of the interface continuously. LabVIEW has shown good performance in communicating with several devices simultaneously and capability of displaying several variables behavior in real time manner. The designed virtual instrument (VI) filters executed different tasks on a priority basis. The online data display in multi-scale window frame is informative and educative. The online efficiency evaluation is useful for system operation and analysis. The developed system provided good support for research and educational purposes.

Mathematics

The main objective of this paper is to introduce and study the numerical solutions of the multi-s... more The main objective of this paper is to introduce and study the numerical solutions of the multi-space fractal-fractional Kuramoto-Sivashinsky equation (MSFFKS) and the multi-space fractal-fractional Korteweg-de Vries equation (MSFFKDV). These models are obtained by replacing the classical derivative by the fractal-fractional derivative based upon the generalized Mittag-Leffler kernel. In our investigation, we use the spectral collocation method (SCM) involving the shifted Legendre polynomials (SLPs) in order to reduce the new models to a system of algebraic equations. We then use one of the known numerical methods, the Newton-Raphson method (NRM), for solving the resulting system of the nonlinear algebraic equations. The efficiency and accuracy of the numerical results are validated by calculating the absolute error as well as the residual error. We also present several illustrative examples and graphical representations for the various results which we have derived in this paper.

Renewable Energy and Power Quality Journal, 2020

This paper demonstrates a case study for solar power tower (SPT) Heliostat, concentrated solar po... more This paper demonstrates a case study for solar power tower (SPT) Heliostat, concentrated solar power topology in Dhahran, KSA. A MATLAB code is implemented for the solar position algorithm to calculate the incident angles in order to track the sunbeams during the whole year. A drive system composed of two linear actuators; DC motor-based drive is developed. The model has been validated experimentally using a rooftop Heliostat prototype. The experimental platform has been tested for several days in different seasons to confirm the prototype capabilities for sun tracking during the whole year. The experimental and simulation results are well agreed.

Renewable Energy and Power Quality Journal, 2021

The solar power tower (SPT) is an effective thermal renewable energy source aiming to absorb dire... more The solar power tower (SPT) is an effective thermal renewable energy source aiming to absorb direct sunbeams on a central collector using thousands of electrical drive-based moved reflectors. The reflector tracking system's accuracy depends on the utilized drive system effectiveness and the used control technique robustness. In this paper, the different electric drives system used in SPT trackers, including motors and power electronic converters, are presented and discussed. Besides, this paper highlighted the advantages and drawbacks of each drive system. Additionally, a dualaxis tracking technique employing the azimuth-elevation tracking approach is discussed and derived for a dual linear actuator heliostat. Moreover, an SPT heliostat prototype using a DC drive system, designed and implemented locally, is discussed and analyzed. The experimental results show the effectiveness of the proposed platform.

Journal of Solar Energy Engineering, 2021

Heliostat tracking is a critical component of the solar field of concentrating solar power tower ... more Heliostat tracking is a critical component of the solar field of concentrating solar power tower (SPT) systems and can be the source of significant losses in power and profit when it lacks the necessary accuracy. This paper presents an advanced heliostat drive system for the SPT generation plant. An integrated model for the heliostat drive system based on dual axes tracking is proposed using an inexpensive angle sensor. The mathematical model of the integrated drive system is developed, including the solar, tower, and heliostat models. The matlab simulation model for the proposed integrated drive system is developed and evaluated. An experimental prototype for a dual-axis heliostat is built using Class-E direct current choppers and an inexpensive Gyro angle sensor. The prototype is tested and considered in the Dhahran region in Saudi Arabia under different operating conditions. A comparative study between simulation and experimental results is conducted to assess the efficacy and ac...

Renewable Energy and Power Quality Journal, 2021

The solar power tower (SPT) is an effective thermal renewable energy source aiming to absorb dire... more The solar power tower (SPT) is an effective thermal renewable energy source aiming to absorb direct sunbeams on a central collector using thousands of electrical drive-based moved reflectors. The reflector tracking system's accuracy depends on the utilized drive system effectiveness and the used control technique robustness. In this paper, the different electric drives system used in SPT trackers, including motors and power electronic converters, are presented and discussed. Besides, this paper highlighted the advantages and drawbacks of each drive system. Additionally, a dualaxis tracking technique employing the azimuth-elevation tracking approach is discussed and derived for a dual linear actuator heliostat. Moreover, an SPT heliostat prototype using a DC drive system, designed and implemented locally, is discussed and analyzed. The experimental results show the effectiveness of the proposed platform.

Arabian Journal for Science and Engineering, 2019

This paper presents a new methodology to optimize the configuration of the hybrid energy system w... more This paper presents a new methodology to optimize the configuration of the hybrid energy system with the wind farm, photovoltaic array, diesel generator and battery bank. Minimizing the annual cost is considered as an objective function with different constraints considering energy not served and renewable energy fraction. The lightning search algorithm is employed to obtain the best cost value of hybrid power system construction. Annual load data, solar irradiation and output power of wind turbines are used in the optimization analysis with a 10-min resolution. The behavior of different components of the system has been investigated. Simulation results give the optimal decision variables: number PV panels, wind turbines, battery banks and the capacity of the diesel generator with the electrification costs (capital cost, and fuel cost) over 1 year for ten scenarios of the hybrid energy system. The results confirm the potential of the proposed approach for the cheapest renewable energy generation.

International Journal of Exergy, 2019

A comparison of energy, exergy rate and economic analyses for an air conditioning ON/OFF cycle an... more A comparison of energy, exergy rate and economic analyses for an air conditioning ON/OFF cycle and variable frequency drive (VFD) HVAC systems with heat-mass exchange calculations were performed. The study considered several key performance parameters including; energy consumption, energy saving, exergy destruction rate, exergy efficiency, CO 2 emission, the coefficient of performance (COP), and cost analysis for both HVAC systems. The total energy consumption, exergy destruction, and CO2 emission are lower when a VFD HVAC is used, as compared with an ON/OFF cycle HVAC system. The total exergy destruction decreases by more than 20%, on average, when a VFD is used when compared with the case of the ON/OFF cycle. Thus, this study reveals that, when a VFD is used, the energy efficiency and exergy efficiency increase by more than 37% and 10%, respectively.

IEEE Access, 2021

Recently, renewable energy is considered a vital source for electricity generation that aims to r... more Recently, renewable energy is considered a vital source for electricity generation that aims to reduce the carbon dioxide emissions acquired from fossil fuels. Concentrated solar power (CSP) is a growing technology that collects solar energy from the sunbeams. One of the efficient CSP topologies is the solar power tower (SPT), which aims to collect the direct sunbeams on a central collector using thousands of reflecting mirrors, called heliostats. Many literature reviews have presented the development of control techniques to improve tracking accuracy and SPT performance. However, on the component level, little work has been issued. This article introduces a comprehensive review of the different SPT drives. More than 100 papers have been classified and discussed to allocate the development and the research-gaps in SPT drives. The drive mechanisms, considering both the power source and mechanical transmission systems, have been classified and discussed. Additionally, a comprehensive review of the different electrical motors, along with their power electronic converters, used for heliostat units are presented, discussed, and compared. The advantages and the drawbacks of the different electrical drive systems are presented and discussed. Besides, the azimuth-elevation tracking technique is selected, discussed, and investigated with a dual-axis two linear actuators mechanism. Additionally, a case study for a small-sized heliostat prototype is presented, discussed, and analyzed using the azimuth-elevation dual-axis tracking to investigate the SPT's performance in Dhahran, KSA, as a promising location in the Gulf region. According to this review, the research gaps and future work have been highlighted to help interested researchers in this area finding potential challenges.

IEEE Access

Modular multilevel converter (MMC)-based high voltage direct current (HVDC) transmission networks... more Modular multilevel converter (MMC)-based high voltage direct current (HVDC) transmission networks integrate remotely located distributed renewable energy resources (RER). The intermittent nature of RER and symmetrical and asymmetrical AC-side low-voltage faults produce operational difficulties. It reduces the MMC's ability to transfer the rated power, which raises the voltage of the HVDC link. Therefore, the MMC-HVDC network's fault ride-through (FRT) capabilities and the power fluctuation brought on by RER intermittency are potential challenges to the efficient integration of renewable energy resources. In response, this article suggests an energy control scheme for the flywheel energy storage of the PV-wind-MMC-HVDC system in order to regulate the HVDC-link voltage during low voltage faults at the point of common coupling (PCC) of the AC grids and to address the problem of power fluctuation caused by intermittent RER and sudden load changes. The suggested method eliminates the dynamic braking resistor (DBR) from the HVDC link and seamlessly integrates the RER without actively reducing renewable energy power during low voltage faults. To test the effectiveness of the proposed control method for the flywheel energy storage in reducing excess energy in the HVDC link, symmetrical and asymmetrical low voltage faults have been conducted. In addition, changes in wind speed, solar radiation, and temperature have been made to validate the flywheel energy management system's performance. A real-time digital simulator (RTDS) and dSPACE-based controller hardware in loop (CHIL) configuration with a complete system have been used to simulate and evaluate the entire system. INDEX TERMS Modular multilevel converter, PV-wind integration, flywheel energy management system, AC side low voltage faults.

Mathematics

This article presents a hybrid backstepping consisting of two robust controllers utilizing the ap... more This article presents a hybrid backstepping consisting of two robust controllers utilizing the approximation property of a radial basis function neural network (RBFNN) for a quadrotor with time-varying uncertainties. The quadrotor dynamic system is decoupled into two subsystems: the position and the attitude subsystems. As part of the position subsystem, adaptive RBFNN backstepping control (ANNBC) is developed to eliminate the effects of uncertainties, trace the quadrotor’s position, and provide the desired roll and pitch angles commands for the attitude subsystem. Then, adaptive RBFNN backstepping is integrated with integral fast terminal sliding mode control (ANNBIFTSMC) to track the required Euler angles and improve robustness against external disturbances. The proposed technique is advantageous because the quadrotor states trace the reference states in a short period of time without requiring knowledge of dynamic uncertainties and external disturbances. In addition, because the ...

AIMS Mathematics

In this article we consider the homotopy perturbation transform method to investigate the fractio... more In this article we consider the homotopy perturbation transform method to investigate the fractional-order equal-width equations. The homotopy perturbation transform method is a mixture of the homotopy perturbation method and the Yang transform. The fractional-order derivative are defined in the sense of Caputo-Fabrizio operator. Several fractions of solutions are calculated which define some valuable evolution of the given problems. The homotopy perturbation transform method results are compared with actual results and good agreement is found. The suggested method can be used to investigate the fractional perspective analysis of problems in a variety of applied sciences.

Symmetry

This paper investigates the fractional local Poisson equation using the homotopy perturbation tra... more This paper investigates the fractional local Poisson equation using the homotopy perturbation transformation method. The Poisson equation discusses the potential area due to a provided charge with the possibility of area identified, and one can then determine the electrostatic or gravitational area in the fractal domain. Elliptic partial differential equations are frequently used in the modeling of electromagnetic mechanisms. The Poisson equation is investigated in this work in the context of a fractional local derivative. To deal with the fractional local Poisson equation, some illustrative problems are discussed. The solution shows the well-organized and straightforward nature of the homotopy perturbation transformation method to handle partial differential equations having fractional derivatives in the presence of a fractional local derivative. The solutions obtained by the defined methods reveal that the proposed system is simple to apply, and the computational cost is very reli...

Fractal and Fractional, 2021

Fractional derivative models involving generalized Mittag-Leffler kernels and opposing models are... more Fractional derivative models involving generalized Mittag-Leffler kernels and opposing models are investigated. We first replace the classical derivative with the GMLK in order to obtain the new fractional-order models (GMLK) with the three parameters that are investigated. We utilize a spectral collocation method based on Legendre’s polynomials for evaluating the numerical solutions of the pr. We then construct a scheme for the fractional-order models by using the spectral method involving the Legendre polynomials. In the first model, we directly obtain a set of nonlinear algebraic equations, which can be approximated by the Newton-Raphson method. For the second model, we also need to use the finite differences method to obtain the set of nonlinear algebraic equations, which are also approximated as in the first model. The accuracy of the results is verified in the first model by comparing it with our analytical solution. In the second and third models, the residual error functions...

Journal of Energy Resources Technology, 2018

High temperature that reaches to 50 °C in summer, high humidity, and dust storms are considered a... more High temperature that reaches to 50 °C in summer, high humidity, and dust storms are considered as the main characteristics of the climate of many countries around the world such as those in the Gulf States, Asia, and Africa. According to the latest studies, air conditioning (A/C) systems in the residential areas used around 65% of the generated energy. This paper is aimed at presenting a new residential thermal model that can be used to estimate the energy consumption of A/C units used to achieve comfort in houses. The results of the newly developed residential thermal model will be compared with exiting residential thermal models using simscape in matlab program and data measurements. Different physical properties of the house that affect the heat gains through the house envelop at different weather conditions, and the internal heat gains are taken into account in this study. Hourly, daily, monthly, and annually energy consumption and coefficient of performance (COP) are calculate...

Alexandria Engineering Journal

2017 IEEE International Conference on Computational Intelligence and Virtual Environments for Measurement Systems and Applications (CIVEMSA)

This paper presents and discusses the performance evaluation, monitoring and analysis of a Heatin... more This paper presents and discusses the performance evaluation, monitoring and analysis of a Heating, Ventilation and Air Conditioning (HVAC) system in a residence in Saudi Arabia. The installed air conditioning (A/C) system operates in extreme and severe weather conditions. The local area is characterized by a high level of ambient temperature, high irradiation, high humidity and frequent dust storms. The Laboratory Virtual Instrument Engineering Workbench (LabVIEW) interface capabilities achieved several objectives such as system parameters measurements and performance evaluation of the A/C unit. The constructed LabVIEW engine displays the environmental parameters and the electrical variables such as in-house air temperature at several points, air flow, pressure humidity, out-side temperature, irradiation, wind speed, voltage, current and power on the front panel windows of the interface continuously. LabVIEW has shown good performance in communicating with several devices simultaneously and capability of displaying several variables behavior in real time manner. The designed virtual instrument (VI) filters executed different tasks on a priority basis. The online data display in multi-scale window frame is informative and educative. The online efficiency evaluation is useful for system operation and analysis. The developed system provided good support for research and educational purposes.

Mathematics

The main objective of this paper is to introduce and study the numerical solutions of the multi-s... more The main objective of this paper is to introduce and study the numerical solutions of the multi-space fractal-fractional Kuramoto-Sivashinsky equation (MSFFKS) and the multi-space fractal-fractional Korteweg-de Vries equation (MSFFKDV). These models are obtained by replacing the classical derivative by the fractal-fractional derivative based upon the generalized Mittag-Leffler kernel. In our investigation, we use the spectral collocation method (SCM) involving the shifted Legendre polynomials (SLPs) in order to reduce the new models to a system of algebraic equations. We then use one of the known numerical methods, the Newton-Raphson method (NRM), for solving the resulting system of the nonlinear algebraic equations. The efficiency and accuracy of the numerical results are validated by calculating the absolute error as well as the residual error. We also present several illustrative examples and graphical representations for the various results which we have derived in this paper.

Renewable Energy and Power Quality Journal, 2020

This paper demonstrates a case study for solar power tower (SPT) Heliostat, concentrated solar po... more This paper demonstrates a case study for solar power tower (SPT) Heliostat, concentrated solar power topology in Dhahran, KSA. A MATLAB code is implemented for the solar position algorithm to calculate the incident angles in order to track the sunbeams during the whole year. A drive system composed of two linear actuators; DC motor-based drive is developed. The model has been validated experimentally using a rooftop Heliostat prototype. The experimental platform has been tested for several days in different seasons to confirm the prototype capabilities for sun tracking during the whole year. The experimental and simulation results are well agreed.

Renewable Energy and Power Quality Journal, 2021

The solar power tower (SPT) is an effective thermal renewable energy source aiming to absorb dire... more The solar power tower (SPT) is an effective thermal renewable energy source aiming to absorb direct sunbeams on a central collector using thousands of electrical drive-based moved reflectors. The reflector tracking system's accuracy depends on the utilized drive system effectiveness and the used control technique robustness. In this paper, the different electric drives system used in SPT trackers, including motors and power electronic converters, are presented and discussed. Besides, this paper highlighted the advantages and drawbacks of each drive system. Additionally, a dualaxis tracking technique employing the azimuth-elevation tracking approach is discussed and derived for a dual linear actuator heliostat. Moreover, an SPT heliostat prototype using a DC drive system, designed and implemented locally, is discussed and analyzed. The experimental results show the effectiveness of the proposed platform.

Journal of Solar Energy Engineering, 2021

Heliostat tracking is a critical component of the solar field of concentrating solar power tower ... more Heliostat tracking is a critical component of the solar field of concentrating solar power tower (SPT) systems and can be the source of significant losses in power and profit when it lacks the necessary accuracy. This paper presents an advanced heliostat drive system for the SPT generation plant. An integrated model for the heliostat drive system based on dual axes tracking is proposed using an inexpensive angle sensor. The mathematical model of the integrated drive system is developed, including the solar, tower, and heliostat models. The matlab simulation model for the proposed integrated drive system is developed and evaluated. An experimental prototype for a dual-axis heliostat is built using Class-E direct current choppers and an inexpensive Gyro angle sensor. The prototype is tested and considered in the Dhahran region in Saudi Arabia under different operating conditions. A comparative study between simulation and experimental results is conducted to assess the efficacy and ac...

Renewable Energy and Power Quality Journal, 2021

The solar power tower (SPT) is an effective thermal renewable energy source aiming to absorb dire... more The solar power tower (SPT) is an effective thermal renewable energy source aiming to absorb direct sunbeams on a central collector using thousands of electrical drive-based moved reflectors. The reflector tracking system's accuracy depends on the utilized drive system effectiveness and the used control technique robustness. In this paper, the different electric drives system used in SPT trackers, including motors and power electronic converters, are presented and discussed. Besides, this paper highlighted the advantages and drawbacks of each drive system. Additionally, a dualaxis tracking technique employing the azimuth-elevation tracking approach is discussed and derived for a dual linear actuator heliostat. Moreover, an SPT heliostat prototype using a DC drive system, designed and implemented locally, is discussed and analyzed. The experimental results show the effectiveness of the proposed platform.

Arabian Journal for Science and Engineering, 2019

This paper presents a new methodology to optimize the configuration of the hybrid energy system w... more This paper presents a new methodology to optimize the configuration of the hybrid energy system with the wind farm, photovoltaic array, diesel generator and battery bank. Minimizing the annual cost is considered as an objective function with different constraints considering energy not served and renewable energy fraction. The lightning search algorithm is employed to obtain the best cost value of hybrid power system construction. Annual load data, solar irradiation and output power of wind turbines are used in the optimization analysis with a 10-min resolution. The behavior of different components of the system has been investigated. Simulation results give the optimal decision variables: number PV panels, wind turbines, battery banks and the capacity of the diesel generator with the electrification costs (capital cost, and fuel cost) over 1 year for ten scenarios of the hybrid energy system. The results confirm the potential of the proposed approach for the cheapest renewable energy generation.

International Journal of Exergy, 2019

A comparison of energy, exergy rate and economic analyses for an air conditioning ON/OFF cycle an... more A comparison of energy, exergy rate and economic analyses for an air conditioning ON/OFF cycle and variable frequency drive (VFD) HVAC systems with heat-mass exchange calculations were performed. The study considered several key performance parameters including; energy consumption, energy saving, exergy destruction rate, exergy efficiency, CO 2 emission, the coefficient of performance (COP), and cost analysis for both HVAC systems. The total energy consumption, exergy destruction, and CO2 emission are lower when a VFD HVAC is used, as compared with an ON/OFF cycle HVAC system. The total exergy destruction decreases by more than 20%, on average, when a VFD is used when compared with the case of the ON/OFF cycle. Thus, this study reveals that, when a VFD is used, the energy efficiency and exergy efficiency increase by more than 37% and 10%, respectively.

IEEE Access, 2021

Recently, renewable energy is considered a vital source for electricity generation that aims to r... more Recently, renewable energy is considered a vital source for electricity generation that aims to reduce the carbon dioxide emissions acquired from fossil fuels. Concentrated solar power (CSP) is a growing technology that collects solar energy from the sunbeams. One of the efficient CSP topologies is the solar power tower (SPT), which aims to collect the direct sunbeams on a central collector using thousands of reflecting mirrors, called heliostats. Many literature reviews have presented the development of control techniques to improve tracking accuracy and SPT performance. However, on the component level, little work has been issued. This article introduces a comprehensive review of the different SPT drives. More than 100 papers have been classified and discussed to allocate the development and the research-gaps in SPT drives. The drive mechanisms, considering both the power source and mechanical transmission systems, have been classified and discussed. Additionally, a comprehensive review of the different electrical motors, along with their power electronic converters, used for heliostat units are presented, discussed, and compared. The advantages and the drawbacks of the different electrical drive systems are presented and discussed. Besides, the azimuth-elevation tracking technique is selected, discussed, and investigated with a dual-axis two linear actuators mechanism. Additionally, a case study for a small-sized heliostat prototype is presented, discussed, and analyzed using the azimuth-elevation dual-axis tracking to investigate the SPT's performance in Dhahran, KSA, as a promising location in the Gulf region. According to this review, the research gaps and future work have been highlighted to help interested researchers in this area finding potential challenges.

IEEE Access

Modular multilevel converter (MMC)-based high voltage direct current (HVDC) transmission networks... more Modular multilevel converter (MMC)-based high voltage direct current (HVDC) transmission networks integrate remotely located distributed renewable energy resources (RER). The intermittent nature of RER and symmetrical and asymmetrical AC-side low-voltage faults produce operational difficulties. It reduces the MMC's ability to transfer the rated power, which raises the voltage of the HVDC link. Therefore, the MMC-HVDC network's fault ride-through (FRT) capabilities and the power fluctuation brought on by RER intermittency are potential challenges to the efficient integration of renewable energy resources. In response, this article suggests an energy control scheme for the flywheel energy storage of the PV-wind-MMC-HVDC system in order to regulate the HVDC-link voltage during low voltage faults at the point of common coupling (PCC) of the AC grids and to address the problem of power fluctuation caused by intermittent RER and sudden load changes. The suggested method eliminates the dynamic braking resistor (DBR) from the HVDC link and seamlessly integrates the RER without actively reducing renewable energy power during low voltage faults. To test the effectiveness of the proposed control method for the flywheel energy storage in reducing excess energy in the HVDC link, symmetrical and asymmetrical low voltage faults have been conducted. In addition, changes in wind speed, solar radiation, and temperature have been made to validate the flywheel energy management system's performance. A real-time digital simulator (RTDS) and dSPACE-based controller hardware in loop (CHIL) configuration with a complete system have been used to simulate and evaluate the entire system. INDEX TERMS Modular multilevel converter, PV-wind integration, flywheel energy management system, AC side low voltage faults.

Mathematics

This article presents a hybrid backstepping consisting of two robust controllers utilizing the ap... more This article presents a hybrid backstepping consisting of two robust controllers utilizing the approximation property of a radial basis function neural network (RBFNN) for a quadrotor with time-varying uncertainties. The quadrotor dynamic system is decoupled into two subsystems: the position and the attitude subsystems. As part of the position subsystem, adaptive RBFNN backstepping control (ANNBC) is developed to eliminate the effects of uncertainties, trace the quadrotor’s position, and provide the desired roll and pitch angles commands for the attitude subsystem. Then, adaptive RBFNN backstepping is integrated with integral fast terminal sliding mode control (ANNBIFTSMC) to track the required Euler angles and improve robustness against external disturbances. The proposed technique is advantageous because the quadrotor states trace the reference states in a short period of time without requiring knowledge of dynamic uncertainties and external disturbances. In addition, because the ...

AIMS Mathematics

In this article we consider the homotopy perturbation transform method to investigate the fractio... more In this article we consider the homotopy perturbation transform method to investigate the fractional-order equal-width equations. The homotopy perturbation transform method is a mixture of the homotopy perturbation method and the Yang transform. The fractional-order derivative are defined in the sense of Caputo-Fabrizio operator. Several fractions of solutions are calculated which define some valuable evolution of the given problems. The homotopy perturbation transform method results are compared with actual results and good agreement is found. The suggested method can be used to investigate the fractional perspective analysis of problems in a variety of applied sciences.

Symmetry

This paper investigates the fractional local Poisson equation using the homotopy perturbation tra... more This paper investigates the fractional local Poisson equation using the homotopy perturbation transformation method. The Poisson equation discusses the potential area due to a provided charge with the possibility of area identified, and one can then determine the electrostatic or gravitational area in the fractal domain. Elliptic partial differential equations are frequently used in the modeling of electromagnetic mechanisms. The Poisson equation is investigated in this work in the context of a fractional local derivative. To deal with the fractional local Poisson equation, some illustrative problems are discussed. The solution shows the well-organized and straightforward nature of the homotopy perturbation transformation method to handle partial differential equations having fractional derivatives in the presence of a fractional local derivative. The solutions obtained by the defined methods reveal that the proposed system is simple to apply, and the computational cost is very reli...

Fractal and Fractional, 2021

Fractional derivative models involving generalized Mittag-Leffler kernels and opposing models are... more Fractional derivative models involving generalized Mittag-Leffler kernels and opposing models are investigated. We first replace the classical derivative with the GMLK in order to obtain the new fractional-order models (GMLK) with the three parameters that are investigated. We utilize a spectral collocation method based on Legendre’s polynomials for evaluating the numerical solutions of the pr. We then construct a scheme for the fractional-order models by using the spectral method involving the Legendre polynomials. In the first model, we directly obtain a set of nonlinear algebraic equations, which can be approximated by the Newton-Raphson method. For the second model, we also need to use the finite differences method to obtain the set of nonlinear algebraic equations, which are also approximated as in the first model. The accuracy of the results is verified in the first model by comparing it with our analytical solution. In the second and third models, the residual error functions...

Journal of Energy Resources Technology, 2018

High temperature that reaches to 50 °C in summer, high humidity, and dust storms are considered a... more High temperature that reaches to 50 °C in summer, high humidity, and dust storms are considered as the main characteristics of the climate of many countries around the world such as those in the Gulf States, Asia, and Africa. According to the latest studies, air conditioning (A/C) systems in the residential areas used around 65% of the generated energy. This paper is aimed at presenting a new residential thermal model that can be used to estimate the energy consumption of A/C units used to achieve comfort in houses. The results of the newly developed residential thermal model will be compared with exiting residential thermal models using simscape in matlab program and data measurements. Different physical properties of the house that affect the heat gains through the house envelop at different weather conditions, and the internal heat gains are taken into account in this study. Hourly, daily, monthly, and annually energy consumption and coefficient of performance (COP) are calculate...

Alexandria Engineering Journal