- 标题
- 摘要
- 关键词
- 实验方案
- 产品
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[IEEE 2018 International Conference on Recent Innovations in Electrical, Electronics & Communication Engineering (ICRIEECE) - Bhubaneswar, India (2018.7.27-2018.7.28)] 2018 International Conference on Recent Innovations in Electrical, Electronics & Communication Engineering (ICRIEECE) - Processing of Silicon Heterojunction Solar Cell and Its Secondary Ion Mass Spectrometric Characterization
摘要： A new numerical technique to solve nonlinear systems of initial value problems for nonlinear first-order differential equations (ODEs) that model genetic networks in systems biology is developed. This technique is based on finding local Galerkin approximations on each sub-interval at a given time grid of points using piecewise hat functions. Comparing the numerical solution of the new method for a single nonlinear ODE with an exact solution shows that this method gives accurate solutions with relative error 1.88 × 10?11 for a time step 1 × 10?6. This new method is compared with the adaptive Runge Kutta (ARK) method for solving systems of ODEs, and the results are comparable for a time step 2 × 10?4. It is shown that the relative error of the Galerkin method decreases approximately linearly with the log of the number of hat functions used. Unlike the ARK method, this new method has the potential to be parallelizable and to be useful for solving biological problems involving large genetic networks. An NSF commissioned video illustrating how systems biology helps us understand that a fundamental process in cells is included.
关键词： hat function,Galerkin method,systems biology,ordinary differential equation,finite element method,toggle switch,Newton–Raphson method,Biological clock
更新于2025-09-23 15:19:57
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[IEEE 2019 Photonics & Electromagnetics Research Symposium - Fall (PIERS - Fall) - Xiamen, China (2019.12.17-2019.12.20)] 2019 Photonics & Electromagnetics Research Symposium - Fall (PIERS - Fall) - Uniformity-modeled Magnetic Resonance Electrical Properties Tomography for Nasopharyngeal Carcinoma
摘要： A new numerical technique to solve nonlinear systems of initial value problems for nonlinear first-order differential equations (ODEs) that model genetic networks in systems biology is developed. This technique is based on finding local Galerkin approximations on each sub-interval at a given time grid of points using piecewise hat functions. Comparing the numerical solution of the new method for a single nonlinear ODE with an exact solution shows that this method gives accurate solutions with relative error 1.88 × 10?11 for a time step 1 × 10?6. This new method is compared with the adaptive Runge Kutta (ARK) method for solving systems of ODEs, and the results are comparable for a time step 2 × 10?4. It is shown that the relative error of the Galerkin method decreases approximately linearly with the log of the number of hat functions used. Unlike the ARK method, this new method has the potential to be parallelizable and to be useful for solving biological problems involving large genetic networks. An NSF commissioned video illustrating how systems biology helps us understand that a fundamental process in cells is included.
关键词： hat function,Galerkin method,systems biology,ordinary differential equation,finite element method,toggle switch,Newton–Raphson method,Biological clock
更新于2025-09-19 17:13:59
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[IEEE 2018 International Seminar on Application for Technology of Information and Communication (iSemantic) - Semarang, Indonesia (2018.9.21-2018.9.22)] 2018 International Seminar on Application for Technology of Information and Communication - Comparison of First Order Differential Algorithm, Perturb and Observe (P&O) and Newton Raphson Methods for PV Application in DC Microgrid Isolated System
摘要： The necessary for energy always increases every year, so it is necessary energy alternative to overcome the phenomenon. From some alternative energy that is currently widely developed is solar energy. Unfortunately the use of solar energy with the help of solar panels produces power that varies according to the irradiation received and the temperature on the solar panel. Irradiation is the emission of energy coming from the sun. This parameter causes the output power characteristic curve to be non-linear. And the power generated by PV has not reached the maximum power point. To overcome this problem requires an arrangement to find the maximum power point and make it stable at that point. Therefore, this paper proposes "Comparison of First Order Differential Algorithms, Perturb and Observe(P&O) and Newton Raphson Methods for PV Application in DC Microgrid Isolated System" so that the maximum power point can be achieved quickly and accurately. In this paper we tried to compare 3 methods of First-order Differential, P & O (Perturb and Observe) and Newton Raphson by using ZETA Converter as its object in switching settings. By using the simulation can be obtained the results of tracking speed and maximum power level. The results of the simulation show that error power the First-order Differential is 4%, P & O is 0.26389% and Newton Raphson is 0.45178%. It is evident that Raphson's newton algorithm is superior to speed and accuracy.
关键词： Solar Panel,First-Order Differential,Maximum Power Point Tracking (MPPT),Newton Raphson Method,Perturb and Observe (P&O)
更新于2025-09-04 15:30:14