BRIEF DESCRIPTION OF THE DRAWINGS
The above and other aims, objectives, aspects, features and advantages of the invention will be better understood from a consideration of the following detailed description of the best mode contemplated for practicing the invention, taken with reference to certain preferred embodiments and methods, and the accompanying drawings in which:
FIG. 1 is a schematic illustrating components in a frequency monitoring network system architecture, according to one embodiment of the present application;
FIG. 2 illustrates a Frequency Disturbance Recorder (FDR), with FIG. 2(a) illustrating a schematic of the recorder and FIG. 2(b) illustrating a photo of an FDR, according to one embodiment of the present application;
FIG. 3 is a map illustrating current FDR locations in the United States, according to one embodiment of the present application;
FIG. 4 is a map illustrating generator trip locations used to study power grid, according to one embodiment of the present application;
FIG. 5 is a schematic illustrating a multi-tier information management system structure, according to at least one embodiment of the present application;
FIG. 6 is a map providing visualization of frequency dynamic data, according to embodiments of the present application;
FIG. 7 is a graph illustrating a typical frequency signature of a generator trip, according to one embodiment of the present application;
FIG. 8 is a map providing an LS event location estimate for one case, according to one embodiment of the present application;
FIG. 9 is a map providing an LS event location estimate for another case, according to one embodiment of the present application;
FIG. 10 is a map providing an LS event location estimate for another case, according to one embodiment of the present application;
FIG. 11 is a map providing a Newtonian event location estimate for one case, according to one embodiment of the present application;
FIG. 12 is a map providing a Newtonian event location estimate for another case, according to one embodiment of the present application;
FIG. 13 is a map providing a Newtonian event location estimate for another case, according to one embodiment of the present application;
FIG. 14 is a flowchart illustrating a method of gradient search event location, according to one embodiment of the present application;
FIG. 15 is a map providing a Newtonian event location estimate for another case, according to one embodiment of the present application;
FIG. 16 is a map providing a Newtonian event location estimate for another case, according to one embodiment of the present application;
FIG. 17 is a map providing a Newtonian event location estimate for another case, according to one embodiment of the present application;
FIG. 18 is a graph illustrating a response to a generation drop in a radial distribution network, according to one embodiment of the present application;
FIG. 19 is a graph illustrating a response to a generation drop in a mesh distribution network, according to one embodiment of the present application;
FIG. 20 is a more detailed view of a graph illustrating a response to a generation drop in a radial distribution network, according to one embodiment of the present application;
FIG. 21 is a more detailed view of a graph illustrating a response to a generation drop in a mesh distribution network, according to one embodiment of the present application;
FIG. 22 is a graph illustrating a response to a load rejection in a radial distribution network, according to one embodiment of the present application;
FIG. 23 is a graph illustrating a response to a load rejection in a mesh distribution network, according to one embodiment of the present application;
FIG. 24 is a graph illustrating an example of a standard generator trip frequency signature, according to one embodiment of the present application;
FIG. 25 is an illustration of how frequency perturbations might travel through a power grid, according to at least one embodiment of the present application;
FIG. 26 is an illustration of how frequency perturbations might travel throughout the power grid, according to one embodiment of the present application;
FIG. 27 is a figure of a plane containing two points, according to one embodiment of the present application;
FIG. 28 is a figure of a plane containing four points, according to one embodiment of the present application;
FIG. 29 is a figure of a plane containing four points, according to one embodiment of the present application;
FIG. 30 is map showing lines representing half-planes in the eastern United States, according to one embodiment of the present application;
FIG. 31 is a figure showing shaded regions of probability, according to one embodiment of the present application;
FIG. 32 is a figure showing vector relationships governing the half-plane method, according to one embodiment of the present application;
FIG. 33 is a set of graphs illustrating windowing functions for a Parzen window approach method, according to one embodiment of the present application;
FIG. 34 is drawing showing the probability density estimate for the Parzen window approach method, according to one embodiment of the present application;
FIG. 35 is a drawing showing a probability density estimate for a particular generator trip using a first windowing method, according to one embodiment of the present application;
FIG. 36 is a drawing showing a probability density estimate for a particular generator trip using a second windowing method, according to one embodiment of the present application;
FIG. 37 provides a comparison of windowing functions, with FIG. 37(a) illustrating a side view and FIG. 37(b) illustrating a top view, according to one embodiment of the present application;
FIG. 38 is a drawing showing a probability density estimate for a particular generator trip using a first windowing method, according to one embodiment of the present application; and
FIG. 39 is a drawing showing a probability density estimate for a particular generator trip using a second windowing method, according to one embodiment of the present application.