Electrical Network Power Flow Using Adaptive Slack Voltage Feedback
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Solution Overview
Problem
Existing methods for electrical network analysis, such as distribution power flow (DPF), are inaccurate due to reliance on static slack node voltage measurements, which do not represent real-time conditions, leading to errors in advanced applications like load restoration and volt-var control.
Innovation Solution
An adaptive feedback control-based approach is used to incorporate voltage measurements from non-slack nodes closer to the slack node, allowing for accurate power flow calculations by iteratively updating the slack node's voltage until convergence, thereby leveraging solid voltage measurements from non-slack nodes.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If a static voltage is used as the slack node's voltage, then the computation is simplified, but the accuracy of DPF results deteriorates because the static voltage does not represent real-time voltage conditions
Solution Approach 1:
The patent transforms the static slack node voltage into a dynamic variable that is iteratively updated during power flow calculations. The slack node voltage is adjusted in each iteration based on the measured voltage from the pseudo slack node, allowing the system to adapt to real-time voltage conditions while maintaining computational feasibility through the iterative process.
Solution Approach 2:
The patent implements a feedback mechanism where the measured voltage from the pseudo slack node is compared with the calculated voltage, and the difference (error signal) is used to update the slack node voltage for the next iteration. This feedback loop continues until convergence, ensuring that the slack node voltage accurately reflects real-time conditions while maintaining computational efficiency.
2Measurement precision
If voltage measurements from non-slack nodes are used, then the accuracy of voltage representation is improved, but the conventional power flow formulation cannot directly utilize these measurements
Solution Approach 1:
The patent introduces a pseudo slack node as an intermediary between the measured non-slack node and the conventional power flow formulation. The pseudo slack node serves as a bridge that allows voltage measurements from any node to be incorporated into the power flow calculations by treating it as a virtual slack node, thereby enabling the use of accurate measurements without fundamentally changing the conventional power flow methodology.
Solution Approach 2:
The patent makes the slack node voltage universal by allowing it to be set at any node in the system, not just at the traditional substation node. This multi-functionality enables the power flow formulation to utilize voltage measurements from any node as the reference, making the method adaptable to different measurement locations and system configurations without requiring separate formulations for each case.
3Stability of the object's composition
If the slack node voltage is fixed, then the power flow calculation is stable, but the ability to adapt to varying system conditions is reduced
Solution Approach 1:
The patent transforms the static slack node voltage into a dynamic variable that is iteratively updated during power flow calculations. The slack node voltage is adjusted in each iteration based on the measured voltage from the pseudo slack node, allowing the system to adapt to real-time voltage conditions while maintaining computational feasibility through the iterative process.
Solution Approach 2:
The patent performs preliminary action by setting an initial slack node voltage before the iterative process begins. This initial value provides a stable starting point for the calculations, and then the iterative updates gradually adjust the voltage to match real-time conditions, combining the benefits of initial stability with subsequent adaptability.
Data Source
AI summary
Embodiments determine properties of electrical networks. An example embodiment creates, in memory, a representation of an electrical network as a plurality of nodes, where the plurality of nodes include a source node and multiple downstream nodes. Next, a measurement of voltage at a node of the multiple downstream nodes is obtained. In turn, the created representation and the obtained measurement of voltage are used to iteratively perform, until convergence, a power flow analysis of the electrical network to determine the properties of the electrical network. Iteratively performing the power flow analysis includes, for each iteration: (i) incrementally updating a value of a variable representing voltage of the source node based on the obtained measurement of voltage, and (ii) performing the power flow analysis using the variable with the updated value.