Frequency-Domain Current Injection for Lower-Loss Power Networks
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Solution Overview
Problem
Existing methods for determining currents in power networks are inefficient due to their reliance on time domain formulations that do not account for frequency-dependent line impedances, leading to suboptimal power transmission and increased losses.
Innovation Solution
A frequency domain-based method that compiles Thévenin parameter data structures for voltage, resistance, and inductance at various frequencies, calculates offset values to satisfy physical constraints, and determines optimal current components for injection or extraction to minimize transmission losses, using a system that includes a processor and memory for executing computer-readable program code.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of energy
If time domain formulation is used to determine currents for injection, then the method is simpler to implement, but it does not account for frequency-dependent line impedances leading to increased transmission losses
Solution Approach 1:
The patent transitions from time domain to frequency domain formulation, changing the mathematical domain parameter to account for frequency-dependent line impedances. This allows the system to calculate optimal currents at different frequencies, thereby reducing transmission losses while managing the increased computational complexity through structured frequency domain analysis.
2Productivity
If equal magnitude currents with same angle are injected into all lines, then the injection method is simpler, but it is not efficient when line resistance and reactance characteristics vary
Solution Approach 1:
The patent applies local quality by determining individual optimal current components for each line based on its specific frequency-dependent impedance characteristics. Instead of uniform current injection, the system calculates line-specific currents that account for varying resistance and reactance, thereby improving power transmission efficiency while managing control complexity through automated frequency domain calculations.
3Loss of energy
If frequency domain formulation is used to account for frequency-dependent line impedances, then transmission losses are reduced, but the computational complexity increases
Solution Approach 1:
The patent segments the frequency domain analysis into discrete frequency components, allowing the system to calculate optimal current components at each frequency separately. This segmentation approach manages computational complexity by breaking down the continuous frequency domain problem into manageable discrete calculations, while still achieving reduced transmission losses through frequency-dependent impedance consideration.
Data Source
AI summary
A system and method for determining currents for injection into or extraction from a power network are provided. In a method conducted at a point of common coupling to the network, Thévenin parameter data structures for each of a Thévenin voltage, resistance and inductance, are compiled. An offset data structure including offset values is compiled for application to corresponding values of the Thévenin voltage data structure to output an offset Thévenin voltage data structure. Offset values are calculated to satisfy physical constraints associated with the network. An optimal point of common coupling power data structure and the offset Thévenin voltage data structure are used to calculate current components for determining current for injection into or extraction from corresponding lines at the point of common coupling to reduce total electrical transmission losses of the network. The method may use the frequency domain and may include using frequency-dependent Thévenin parameters.


