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Optimization

  • Optimization of SPICE Parameter Extraction for a Semiconductor Diode In the design of a semiconductor device, it is often required to develop a compact model for use when analyzing its behavior in larger systems. SPICE models are compact descriptions of electronic circuits, where a set of SPICE parameters determines the device’s behavior in static, transient, and t...
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  • Optimization of a Floor Heater This example considers floor heating, provided by an in-built pipe, and the optimal parameters to provide specific heating with the minimum amount of energy expense. Pipes that are built a way below the floor surface provide more even heat, while requiring more overall heat in order to heat the floo...
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  • Characterization of an Aquifer through Inverse Modeling from Pump Tests This model uses the Optimization application mode to solve the inverse problem for determining the spatially variable hydraulic conductivity on a discretized quadratic grid from a number of aquifer pump tests. Because the number of observations is smaller than the number of unknown parameters, a...
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  • Optimizing the Shape of a Dipole Antenna The impedance of an antenna is an important parameter that determines how it behaves in transmitter circuits. Impedance matching and low reactive components are important to get reliable operation, which can be achieved either by proper design or matching circuit. In this model, the deformed mesh...
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  • Topology Optimization of a Loaded Knee Structure Imagine that you are designing a light-weight mountain bike frame that should fit in a box of a certain size and should weigh no more than 8 kg. Given that you know the loads on the bike, you can achieve this by distributing the available material while making sure that the stiffness of the frame is...
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  • Minimizing the Flow Velocity in a Microchannel Topology optimization of the Navier-Stokes equations is encountered in different branches and applications, such as in the design of ventilation systems for cars. A common technique applicable to such problems is to let the distribution of porous material vary continuously. In this model, the obj...
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  • Optimization of a Catalytic Microreactor In this model, a solution is pumped through a catalytic bed where a solute species reacts as it gets in contact with the catalyst. The model calculates the maximize total reaction rate of the solute for a given total pressure difference across the bed by finding an optimal catalyst distribution.
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  • Optimizing a Flywheel Profile The radial stress component in an axially symmetric and homogeneous flywheel of constant thickness exhibits a sharp peak near the inner radius. From there, it decreases monotonously until it reaches zero at the flywheel’s outer rim. The uneven stress distribution reveals a design that does not mak...
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  • Optimizing the Shape of a Horn A plane-wave mode feeds an axisymmetric horn radiating from an infinite baffle towards an open half space. The radius of the feeding waveguide is assumed to be fixed, as well as the depth of the horn and the size of the hole where the horn is attached to the baffle. By varying the curvature of the...
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