69,525 research outputs found
Grey-box Modelling of a Household Refrigeration Unit Using Time Series Data in Application to Demand Side Management
This paper describes the application of stochastic grey-box modeling to
identify electrical power consumption-to-temperature models of a domestic
freezer using experimental measurements. The models are formulated using
stochastic differential equations (SDEs), estimated by maximum likelihood
estimation (MLE), validated through the model residuals analysis and
cross-validated to detect model over-fitting. A nonlinear model based on the
reversed Carnot cycle is also presented and included in the modeling
performance analysis. As an application of the models, we apply model
predictive control (MPC) to shift the electricity consumption of a freezer in
demand response experiments, thereby addressing the model selection problem
also from the application point of view and showing in an experimental context
the ability of MPC to exploit the freezer as a demand side resource (DSR).Comment: Submitted to Sustainable Energy Grids and Networks (SEGAN). Accepted
for publicatio
Optimized regulator for the quantized anharmonic oscillator
The energy gap between the first excited state and the ground state is
calculated for the quantized anharmonic oscillator in the framework of the
functional renormalization group method. The compactly supported smooth
regulator is used which includes various types of regulators as limiting cases.
It was found that the value of the energy gap depends on the regulator
parameters. We argue that the optimization based on the disappearance of the
false, broken symmetric phase of the model leads to the Litim's regulator. The
least sensitivity on the regulator parameters leads however to an IR regulator
being somewhat different of the Litim's one, but it can be described as a
perturbatively improved, or generalized Litim's regulator and provides analytic
evolution equations, too.Comment: 8 pages, 4 figure
A "poor man's" approach for high-resolution three-dimensional topology optimization of natural convection problems
This paper treats topology optimization of natural convection problems. A
simplified model is suggested to describe the flow of an incompressible fluid
in steady state conditions, similar to Darcy's law for fluid flow in porous
media. The equations for the fluid flow are coupled to the thermal
convection-diffusion equation through the Boussinesq approximation. The coupled
non-linear system of equations is discretized with stabilized finite elements
and solved in a parallel framework that allows for the optimization of high
resolution three-dimensional problems. A density-based topology optimization
approach is used, where a two-material interpolation scheme is applied to both
the permeability and conductivity of the distributed material. Due to the
simplified model, the proposed methodology allows for a significant reduction
of the computational effort required in the optimization. At the same time, it
is significantly more accurate than even simpler models that rely on convection
boundary conditions based on Newton's law of cooling. The methodology discussed
herein is applied to the optimization-based design of three-dimensional heat
sinks. The final designs are formally compared with results of previous work
obtained from solving the full set of Navier-Stokes equations. The results are
compared in terms of performance of the optimized designs and computational
cost. The computational time is shown to be decreased to around 5-20% in terms
of core-hours, allowing for the possibility of generating an optimized design
during the workday on a small computational cluster and overnight on a high-end
desktop
A Sufficient Condition for Power Flow Insolvability with Applications to Voltage Stability Margins
For the nonlinear power flow problem specified with standard PQ, PV, and
slack bus equality constraints, we present a sufficient condition under which
the specified set of nonlinear algebraic equations has no solution. This
sufficient condition is constructed in a framework of an associated feasible,
convex optimization problem. The objective employed in this optimization
problem yields a measure of distance (in a parameter set) to the power flow
solution boundary. In practical terms, this distance is closely related to
quantities that previous authors have proposed as voltage stability margins. A
typical margin is expressed in terms of the parameters of system loading
(injected powers); here we additionally introduce a new margin in terms of the
parameters of regulated bus voltages.Comment: 12 pages, 7 figure
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