Stochastic Model for Power Grid Dynamics

We introduce a stochastic model that describes the quasi-static dynamics of an electric transmission network under perturbations introduced by random load fluctuations, random removing of system components from service, random repair times for the failed components, and random response times to implement optimal system corrections for removing line overloads in a damaged or stressed transmission network. We use a linear approximation to the network flow equations and apply linear programming techniques that optimize the dispatching of generators and loads in order to eliminate the network overloads associated with a damaged system. We also provide a simple model for the operator's response to various contingency events that is not always optimal due to either failure of the state estimation system or due to the incorrect subjective assessment of the severity associated with these events. This further allows us to use a game theoretic framework for casting the optimization of the operator's response into the choice of the optimal strategy which minimizes the operating cost. We use a simple strategy space which is the degree of tolerance to line overloads and which is an automatic control (optimization) parameter that can be adjusted to trade off automatic load shed without propagating cascades versus reduced load shed and an increased risk of propagating cascades. The tolerance parameter is chosen to describes a smooth transition from a risk averse to a risk taken strategy...Comment: framework for a system-level analysis of the power grid from the viewpoint of complex network

Optical THz generation, detection, and control on a chip

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Chemistry, June 2012.Cataloged from student-submitted PDF version of thesis.Includes bibliographical references.The THz polaritonics system is an on-chip platform for THz generation, detection, and control. THz-frequency electromagnetic waves are generated directly in a thin slab of lithium niobate crystal where they can be amplified and guided. Time-resolved phase-sensitive imaging lets us capture movies of THz waves as they propagate at the light-like speeds. I developed polaritonics methodologies and used the platform to study various microstructures interacting with THz waves. I began technique development by deriving a quantitative model explaining THz wave propagation in an anisotropic slab waveguide. From this model, I extracted the frequency-dependent wave velocity and used this knowledge to design an optical pumping geometry that phase-matches and coherently amplifies a selected THz frequency. This geometry can generate high-amplitude THz waves with a tunable center frequency and bandwidth. Much like the generation, the detection was also revamped. New optical designs, acquisition procedures, and hardware let us quantitatively measure THz field strengths. The image resolution was improved from ~50 [mu]m to 1.5 [mu]m, and measurement noise was reduced by 50-fold. Using the improved generation and detection methods, we studied two classes of microstructures: laser-machined air gaps and deposited metal antennas. Air gaps cut into the lithium niobate slab effectively reflect, waveguide, and scatter THz waves. We fabricated structures that demonstrate wave phenomena such as diffraction and interference and captured movies of THz waves interacting with these structures. The movies can be useful tools in lectures on electromagnetism because they beautifully illustrate the fundamental effects and bring cutting-edge research into the classroom. In addition to air structures, we studied metal antennas, which are interesting because of their ability to enhance optical fields and localize electromagnetic waves well below the diffraction limit. The polaritonics platform enabled incisive study of fundamental antenna behavior and scaling because we could map the antenna's near-field with [lambda]/100 spatial resolution and we could quantify large THz electric field amplitudes and enhancements in a deeply sub-wavelength gap between antennas. Antenna field enhancement is already facilitating nonlinear THz research, and the polaritonics platform will enable improved study of photonic systems such as metamaterials and photonic crystals.by Christopher A. Werley.Ph.D

Direct experimental visualization of waves and band structure in 2D photonic crystal slabs

We demonstrate for the first time the ability to perform time resolved imaging of terahertz (THz) waves propagating within a photonic crystal (PhC) slab. For photonic lattices with different orientations and symmetries, we used the electro-optic effect to record the full spatiotemporal evolution of THz fields across a broad spectral range spanning the photonic band gap. In addition to revealing real-space behavior, the data let us directly map the band diagrams of the PhCs. The data, which are in good agreement with theoretical calculations, display a rich set of effects including photonic band gaps, eigenmodes and leaky modes.National Science Foundation (U.S.) (Grant no. 1128632)National Science Foundation (U.S.) (NSF GRFP Fellowship)Canadian Institutes of Health Research (Fellowship

The homogenization limit and waveguide gradient index devices demonstrated through direct visualization of THz fields

Electromagnetic homogenization approximation calculates an effective refractive index of a composite material as a weighted average of its components, and has found uses in gradient refractive index and transformation optics devices. However, the utility of the homogenization approximation is hindered by uncertainty in its range of applicability. Harnessing the capability of time-resolved imaging provided by the terahertz polaritonics platform, we determined the dispersion curves of slab waveguides with periodic arrays of holes, and we quantified the breakdown of the homogenization approximation as the period approached the terahertz wavelength and the structure approached the photonic bandgap regime. We found that if the propagation wavelength in the dielectric waveguide was at least two times as large as the Bragg condition wavelength, the homogenization approximation held independent of the detailed geometry, propagation direction, or fill fraction. This value is much less demanding than the estimate of 10:1 often assumed for homogenization. We further used the experimental capabilities to extract the effective refractive index of the photonic crystals in the homogenization approximation limit, and we used this to analyze the predictive strength of analytical formulas. These formulas enabled rapid design of a Luneburg lens and a bi-directional cloak in a waveguide platform without the need for numerical simulations. Movies of terahertz waves interacting with these structures, which were fabricated using femtosecond laser machining, reveal excellent performance. The combination of an analytical formula and confidence in the homogenization approximation will aid in fast design and prototyping of gradient index devices.National Science Foundation (U.S.) (Grant 1128632)HDTRA Grant (1-12-1-0008)National Science Foundation (U.S.). Graduate Research Fellowship Progra

Screening Fluorescent Voltage Indicators with Spontaneously Spiking HEK Cells

Development of improved fluorescent voltage indicators is a key challenge in neuroscience, but progress has been hampered by the low throughput of patch-clamp characterization. We introduce a line of non-fluorescent HEK cells that stably express NaV 1.3 and KIR 2.1 and generate spontaneous electrical action potentials. These cells enable rapid, electrode-free screening of speed and sensitivity of voltage sensitive dyes or fluorescent proteins on a standard fluorescence microscope. We screened a small library of mutants of archaerhodopsin 3 (Arch) in spiking HEK cells and identified two mutants with greater voltage-sensitivity than found in previously published Arch voltage indicators

Bright and Fast Multicoloured Voltage Reporters via Electrochromic FRET

Genetically encoded fluorescent reporters of membrane potential promise to reveal aspects of neural function not detectable by other means. We present a palette of multicoloured brightly fluorescent genetically encoded voltage indicators with sensitivities from 8–13% ΔF/F per 100 mV, and half-maximal response times from 4–7 ms. A fluorescent protein is fused to an archaerhodopsin-derived voltage sensor. Voltage-induced shifts in the absorption spectrum of the rhodopsin lead to voltage-dependent nonradiative quenching of the appended fluorescent protein. Through a library screen, we identify linkers and fluorescent protein combinations that report neuronal action potentials in cultured rat hippocampal neurons with a single-trial signal-to-noise ratio from 7 to 9 in a 1 kHz imaging bandwidth at modest illumination intensity. The freedom to choose a voltage indicator from an array of colours facilitates multicolour voltage imaging, as well as combination with other optical reporters and optogenetic actuators.Chemistry and Chemical BiologyEngineering and Applied SciencesPhysic

Photostick: a method for selective isolation of target cells from culture

Sorting of target cells from a heterogeneous pool is technically difficult when the selection criterion is complex, e.g. a dynamic response, a morphological feature, or a combination of multiple parameters. At present, mammalian cell selections are typically performed either via static fluorescence (e.g. fluorescence activated cell sorter), via survival (e.g. antibiotic resistance), or via serial operations (flow cytometry, laser capture microdissection). Here we present a simple protocol for selecting cells based on any static or dynamic property that can be identified by video microscopy and image processing. The “photostick” technique uses a cell-impermeant photochemical crosslinker and digital micromirror array-based patterned illumination to immobilize selected cells on the culture dish. Other cells are washed away with mild protease treatment. The crosslinker also labels the selected cells with a fluorescent dye and a biotin for later identification. The photostick protocol preserves cell viability, permits genetic profiling of selected cells, and can be performed with complex functional selection criteria such as neuronal firing patterns.Chemistry and Chemical Biolog

Steel-copper functionally graded material produced by twin-wire and arc additive manufacturing (T-WAAM)

SFRH/BD/144202/2019 UID/00667/2020In this work, a functionally graded material (FGM) part was fabricated by depositing a Cu-based alloy on top of a high strength low alloy (HSLA) steel by twin-wire and arc additive manufacturing (T-WAAM). Copper and steel parts are of interest in many industries since they can combine high thermal/electrical conductivity, wear resistance with excellent mechanical properties. However, mixing copper with steel is difficult due to mismatches in the coefficient of thermal expansion, in the melting temperature, and crystal structure. Moreover, the existence of a miscibility gap during solidification, when the melt is undercooled, causes serious phase separation and segregation during solidification which greatly affects the mechanical properties. Copper and steel control samples and the functionally graded material specimen were fabricated and investigated using optical microscopy, scanning electron microscopy, and high energy synchrotron X-ray diffraction. Retained δ-ferrite was found in a Cu matrix at the interface region due to regions with mixed composition. A smooth gradient of hardness and electric conductivity along the FGM sample height was obtained. An ultimate tensile strength of 690 MPa and an elongation at fracture of 16.6% were measured in the FGM part.publishersversionpublishe