Abstract: Systems and methods herein provide for sinusoidal signal distortion monitoring and visualization via a Circular Trajectory Approach (CTA). In one embodiment, a system includes a differentiator operable to differentiate an input signal from a sinusoidal signal at substantially a same fundamental frequency of the input signal. The input signal comprising a sinusoidal waveform having distortions. The system also includes a processor operable to calculate a distance index from the input signal to a derivative of the input signal to reveal distortions in the input signal, and a display operable to display the distortions in the input signal.

Abstract: A method for weather adjustment of an electrical utility system. Data defining sequential events in the utility system is obtained, each event identified by three coordinate values: hour of day, recorded temperature, and resource usage. A three-dimensional topological surface is generated from the coordinate value, by plotting the resource usage against the hour and temperature in a three-dimensional space. A polynomial equation having calculated coefficients and a highest degree of six for each variable is generated to define the topological surface, wherein the polynomial equation expresses the resource usage as a tenth-degree polynomial function of hour of day and temperature. A future load on components of the system at a particular temperature and hour of day is determined by applying the coefficients to the coordinate values for the particular temperature and hour, and modifying the functionality of components of the electrical utility system based on the determined future load.

Abstract: A method for weather adjustment of an electrical utility system. Data defining sequential events in the utility system is obtained, each event identified by three coordinate values: hour of day, recorded temperature, and resource usage. A three-dimensional topological surface is generated from the coordinate value, by plotting the resource usage against the hour and temperature in a three-dimensional space. A polynomial equation having calculated coefficients and a highest degree of six for each variable is generated to define the topological surface, wherein the polynomial equation expresses the resource usage as a tenth-degree polynomial function of hour of day and temperature. A future load on components of the system at a particular temperature and hour of day is determined by applying the coefficients to the coordinate values for the particular temperature and hour, and modifying the functionality of components of the electrical utility system based on the determined future load.

Abstract: Technology for predictions of a value over time which relies upon and implements a topologic space and surface analysis enabling insertion of future dates and generation of more accurate predictive values for resource demand and other values of interest for analysis. Polynomial equations are generated from the surface analysis by regression and factoring to enable forecasting and acknowledgment of various factors such as weather and the like.

Abstract: Technology for predictions of a value over time which relies upon and implements a topologic space and surface analysis enabling insertion of future times and generation of more accurate predictive values for resource demand and other values of interest for analysis. The topological surface is generated on a cylindrical coordinate system. A polynomial equation is generated for the surface analysis by regression to enable forecasting.

Abstract: Methods, Apparatus and Program Products for predicting resource usage data, weather data and econometric data, such as: demands on resources such as electrical power, water supply, communications infrastructure; temperature, humidity, wind speed, solar radiation, and degree days; and commodity price, gross domestic product, and a price index.

Abstract: Methods, Apparatus and Program Products for predicting resource usage data, weather data and econometric data, such as: demands on resources such as electrical power, water supply, communications infrastructure; temperature, humidity, wind speed, solar radiation, and degree days; and commodity price, gross domestic product, and a price index.