Alan A. Kaptanoglu
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View article: Periodic Korteweg–de Vries soliton potentials generate quasisymmetric magnetic field strength in a finite plasma-β equilibrium
Periodic Korteweg–de Vries soliton potentials generate quasisymmetric magnetic field strength in a finite plasma-β equilibrium Open
Quasisymmetry (QS) is a hidden symmetry of the magnetic field strength, B, that enables effective confinement of charged particles in a fully three-dimensional (3D) toroidal plasma equilibrium. Such equilibria are typically modeled by the …
View article: Augmented Lagrangian methods produce cutting-edge magnetic coils for stellarator fusion reactors
Augmented Lagrangian methods produce cutting-edge magnetic coils for stellarator fusion reactors Open
Finding feasible coils for stellarator fusion devices is a critical challenge of realizing this concept for future power plants. Current design efforts struggle to navigate the highly nonconvex optimization landscape, spend considerable re…
View article: Periodic Korteweg-de Vries soliton potentials generate quasisymmetric magnetic field strength in a finite plasma-beta equilibrium
Periodic Korteweg-de Vries soliton potentials generate quasisymmetric magnetic field strength in a finite plasma-beta equilibrium Open
Quasisymmetry (QS) is a hidden symmetry of the magnetic field strength, B, that enables effective confinement of charged particles in a fully three-dimensional (3D) toroidal plasma equilibrium. Such equilibria are typically modeled by the …
View article: Corrigendum: Reactor-scale stellarators with force and torque minimized dipole coils (2025 <i>Nucl. Fusion</i> 65 046029)
Corrigendum: Reactor-scale stellarators with force and torque minimized dipole coils (2025 <i>Nucl. Fusion</i> 65 046029) Open
This Corrigendum corrects and clarifies several inaccuracies in section 1A in the original article (Kaptanoglu et al 2025 Nucl. Fusion 65 046029).
View article: Electromagnetic coil optimization for reduced Lorentz forces
Electromagnetic coil optimization for reduced Lorentz forces Open
The reduction of magnetic forces on electromagnetic coils is an important consideration in the design of high-field devices such as the stellarator or tokamak. Unfortunately, these forces may be too time-consuming to evaluate by convention…
View article: Reactor-scale stellarators with force and torque minimized dipole coils
Reactor-scale stellarators with force and torque minimized dipole coils Open
In this work, we utilize new coil objectives for stellarator optimization with autodifferentiation, including pointwise and net coil–coil forces and torques. We use these methods to perform the first large-scale optimization of planar dipo…
View article: Optimization of passive superconductors for shaping stellarator magnetic fields
Optimization of passive superconductors for shaping stellarator magnetic fields Open
We consider the novel problem of optimizing a large set of passive superconducting coils (PSCs) with currents induced by a background magnetic field rather than power supplies. In the nuclear fusion literature, such coils have been propose…
View article: Data-driven methods to discover stable linear models of the helicity injectors on HIT-SIU
Data-driven methods to discover stable linear models of the helicity injectors on HIT-SIU Open
Accurate and efficient circuit models are necessary to control the power electronic circuits found on plasma physics experiments. Tuning and controlling the behavior of these circuits is inextricably linked to plasma performance. Linear mo…
View article: Global stellarator coil optimization with quadratic constraints and objectives
Global stellarator coil optimization with quadratic constraints and objectives Open
Most present stellarator designs are produced by costly two-stage optimization: the first for an optimized equilibrium, and the second for a coil design reproducing its magnetic configuration. Few proxies for coil complexity and forces exi…
View article: Reactor-scale stellarators with force and torque minimized dipole coils
Reactor-scale stellarators with force and torque minimized dipole coils Open
In this work, we utilize new coil objectives for stellarator optimization with autodifferentiation, including pointwise and net coil-coil forces and torques. We use these methods to perform the first large-scale optimization of planar dipo…
View article: Electromagnetic coil optimization for reduced Lorentz forces
Electromagnetic coil optimization for reduced Lorentz forces Open
The reduction of magnetic forces on electromagnetic coils is an important consideration in the design of high-field devices such as the stellarator or tokamak. Unfortunately, these forces may be too time-consuming to evaluate by convention…
View article: Nonlinear parametric models of viscoelastic fluid flows
Nonlinear parametric models of viscoelastic fluid flows Open
Reduced-order models (ROMs) have been widely adopted in fluid mechanics, particularly in the context of Newtonian fluid flows. These models offer the ability to predict complex dynamics, such as instabilities and oscillations, at a conside…
View article: Global Stellarator Coil Optimization with Quadratic Constraints and Objectives
Global Stellarator Coil Optimization with Quadratic Constraints and Objectives Open
Most present stellarator designs are produced by costly two-stage optimization: the first for an optimized equilibrium, and the second for a coil design reproducing its magnetic configuration. Few proxies for coil complexity and forces exi…
View article: Extending the trapping theorem to provide local stability guarantees for quadratically nonlinear models
Extending the trapping theorem to provide local stability guarantees for quadratically nonlinear models Open
The Navier Stokes equations (NSEs) are partial differential equations (PDEs) to describe the nonlinear convective motion of fluids and they are computationally expensive to simulate because of their high nonlinearity and variables being fu…
View article: Grad–Shafranov equilibria via data-free physics informed neural networks
Grad–Shafranov equilibria via data-free physics informed neural networks Open
A large number of magnetohydrodynamic (MHD) equilibrium calculations are often required for uncertainty quantification, optimization, and real-time diagnostic information, making MHD equilibrium codes vital to the field of plasma physics. …
View article: Grad-Shafranov equilibria via data-free physics informed neural networks
Grad-Shafranov equilibria via data-free physics informed neural networks Open
A large number of magnetohydrodynamic (MHD) equilibrium calculations are often required for uncertainty quantification, optimization, and real-time diagnostic information, making MHD equilibrium codes vital to the field of plasma physics. …
View article: Improved stellarator permanent magnet designs through combined discrete and continuous optimizations
Improved stellarator permanent magnet designs through combined discrete and continuous optimizations Open
A common optimization problem in the areas of magnetized plasmas and fusion energy is the design of magnets to produce a given three-dimensional magnetic field distribution to high precision. When designing arrays of permanent magnets for …
View article: Nonlinear parametric models of viscoelastic fluid flows
Nonlinear parametric models of viscoelastic fluid flows Open
Reduced-order models have been widely adopted in fluid mechanics, particularly in the context of Newtonian fluid flows. These models offer the ability to predict complex dynamics, such as instabilities and oscillations, at a considerably r…
View article: A comparison of Fourier and POD mode decomposition methods for high-speed Hall thruster video
A comparison of Fourier and POD mode decomposition methods for high-speed Hall thruster video Open
Hall thrusters are susceptible to large-amplitude plasma oscillations that impact thruster performance and lifetime and are also difficult to model. High-speed cameras are a popular tool to study these dynamics due to their spatial resolut…
View article: Topology optimization for inverse magnetostatics as sparse regression: application to electromagnetic coils for stellarators
Topology optimization for inverse magnetostatics as sparse regression: application to electromagnetic coils for stellarators Open
Topology optimization, a technique to determine where material should be placed within a predefined volume in order to minimize a physical objective, is used across a wide range of scientific fields and applications. A general application …
View article: Sparse regression for plasma physics
Sparse regression for plasma physics Open
Many scientific problems can be formulated as sparse regression, i.e., regression onto a set of parameters when there is a desire or expectation that some of the parameters are exactly zero or do not substantially contribute. This includes…
View article: Time-dependent SOLPS-ITER simulations of the tokamak plasma boundary for model predictive control using SINDy <sup>*</sup>
Time-dependent SOLPS-ITER simulations of the tokamak plasma boundary for model predictive control using SINDy <sup>*</sup> Open
Time-dependent SOLPS-ITER simulations have been used to identify reduced models with the sparse identification of nonlinear dynamics (SINDy) method and develop model-predictive control of the boundary plasma state using main ion gas puff a…
View article: Benchmarking sparse system identification with low-dimensional chaos
Benchmarking sparse system identification with low-dimensional chaos Open
Sparse system identification is the data-driven process of obtaining parsimonious differential equations that describe the evolution of a dynamical system, balancing model complexity and accuracy. There has been rapid innovation in system …
View article: Greedy permanent magnet optimization
Greedy permanent magnet optimization Open
A number of scientific fields rely on placing permanent magnets in order to produce a desired magnetic field. We have shown in recent work that the placement process can be formulated as sparse regression. However, binary, grid-aligned sol…
View article: Greedy permanent magnet optimization
Greedy permanent magnet optimization Open
A number of scientific fields rely on placing permanent magnets in order to produce a desired magnetic field. We have shown in recent work that the placement process can be formulated as sparse regression. However, binary, grid-aligned sol…
View article: Permanent magnet optimization for stellarators as sparse regression
Permanent magnet optimization for stellarators as sparse regression Open
A common scientific inverse problem is the placement of magnets that produce a desired magnetic field inside a prescribed volume. This is a key component of stellarator design, and recently permanent magnets have been proposed as a potenti…
View article: A comparison of Fourier and POD mode decomposition methods for high-speed Hall thruster video
A comparison of Fourier and POD mode decomposition methods for high-speed Hall thruster video Open
Hall thrusters are susceptible to large-amplitude plasma oscillations that impact thruster performance and lifetime and are also difficult to model. High-speed cameras are a popular tool to study these dynamics due to their spatial resolut…