@ARTICLE{talkington_conditions_2024,
author={Talkington, Samuel and Turizo, Daniel and Grijalva, Santiago and Fernandez, Jorge and Molzahn, Daniel K.},
journal={IEEE Transactions on Power Systems},
title={{Conditions for Estimation of Sensitivities of Voltage Magnitudes to Complex Power Injections}},
year={2024},
volume={39},
number={1},
pages={478-491},
doi={10.1109/TPWRS.2023.3237505}
}Voltage phase angle measurements are often unavailable from sensors in distribution networks and transmission network boundaries. Therefore, this paper addresses the conditions for estimating sensitivities of voltage magnitudes with respect to complex (active and reactive) electric power injections based on sensor measurements. These sensitivities represent submatrices of the inverse power flow Jacobian. We extend previous results to show that the sensitivities of a bus voltage magnitude with respect to active power injections are unique and different from those with respect to reactive power. The classical Newton-Raphson power flow model is used to derive a novel representation of bus voltage magnitudes as an underdetermined linear operator of the active and reactive power injections—parameterized by the bus power factors. Two conditions that ensure the existence of unique complex power injections given voltage magnitudes are established for this underdetermined linear system, thereby compressing the solution space. The first is a sufficient condition based on the bus power factors. The second is a necessary and sufficient condition based on the system eigenvalues. We use matrix completion theory to develop estimation methods for recovering sensitivity matrices with varying levels of sensor availability. Simulations verify the results and demonstrate engineering use of the proposed methods.
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57th North American Power Symposium (NAPS 2025) / code / bibTeX
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Kansas Power and Energy Conference (KPEC) / bibTeX
Strategic Electric Distribution Network Sensing via Spectral Bandits
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IEEE CDC 2024 / arXiv / slides / bibTeX
A data-driven sensor placement approach for detecting voltage violations in distribution systems
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Electric Power Systems Research / arXiv / bibTeX
A measurement-based approach to voltage-constrained hosting capacity analysis with controllable reactive power behind-the-meter
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Electric Power Systems Research / bibTeX
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ACM e-Energy / slides / bibTeX
Conditions for Estimation of Sensitivities of Voltage Magnitudes to Complex Power Injections
Samuel Talkington, Daniel Turizo, Santiago Grijalva, Jorge Fernandez, Daniel K. Molzahn
IEEE Transactions on Power Systems / arXiv / bibTeX
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Joseph A. Azzolini, Matthew J. Reno, Jubair Yusuf, Samuel Talkington, Santiago Grijalva
IEEE Power & Energy Society Innovative Smart Grid Technologies Conference (ISGT) / bibTeX
Improving Behind-the-Meter PV Impact Studies with Data-Driven Modeling and Analysis
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IEEE 49th Photovoltaics Specialists Conference (PVSC) / bibTeX
Solar PV Inverter Reactive Power Disaggregation and Control Setting Estimation
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IEEE Transactions on Power Systems / bibTeX
Recovering Power Factor Control Settings of Solar PV Inverters from Net Load Data
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North American Power Symposium (NAPS) / slides / bibTeX
Rail Transit Regenerative Braking Energy Recovery Optimization to Provide Grid Services
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IEEE Power and Energy Conference at Illinois (PECI) / bibTeX