Low-inertia Power Systems & Grid-forming Inverters

@inproceedings{nokey,

title = {Interaction Energy-Based Transient Stability Framework for Multi-Grid-Forming Inverter Systems},

author = {Debjyoti Chatterjee and Bowen Yang and Brian Johnson and Gab-Su Seo },

url = {https://johnsonlab.ece.utexas.edu/wp-content/uploads/2025/08/Debjyoti_ECCE25_2GFM.pdf},

year  = {2025},

date = {2025-08-21},

urldate = {2025-08-21},

booktitle = {Energy Conversion Congress and Exposition},

keywords = {inverters, modeling, systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{nokey,

title = {Demystifying Grid-forming Inverter Large-signal Stability Assessment with Equivalent-circuit Models},

author = {Debjyoti Chatterjee and Nathan Baeckeland and Brian Johnson and Gab-Su Seo and Sairaj Dhople },

url = {https://johnsonlab.ece.utexas.edu/wp-content/uploads/2025/07/Compel_2025_debjyoti_final-1.pdf},

year  = {2025},

date = {2025-07-31},

urldate = {2025-07-31},

booktitle = {Workshop on Control and Modeling of Power Electronics},

keywords = {inverter control, modeling, systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{nokey,

title = {Is equal area criterion applicable for transient stability assessment of grid-forming inverters?},

author = {Debjyoti Chatterjee and Brian Johnson and Gab-Su Seo},

url = {https://johnsonlab.ece.utexas.edu/wp-content/uploads/2025/06/1299486.pdf},

year  = {2025},

date = {2025-07-30},

urldate = {2025-07-30},

booktitle = {Power and Energy Society General Meeting},

keywords = {inverter control, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{nokey,

title = {Stability analysis of multi-inverter systems with heterogeneous grid-forming dynamics},

author = {Debjyoti Chatterjee and Gab-Su Seo and Brian Johnson},

url = {https://johnsonlab.ece.utexas.edu/wp-content/uploads/2025/06/1299488.pdf},

year  = {2025},

date = {2025-07-30},

urldate = {2025-07-30},

booktitle = {Power and Energy Society General Meeting},

keywords = {inverter control, inverters, modeling, systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{nokey,

title = {Design and analysis of an integral MPPT control law for wave energy conversion systems},

author = {Pranav Chandran and Rahul Mallik and InYong Kim and Ted Brekken and Brian Johnson},

url = {https://johnsonlab.ece.utexas.edu/wp-content/uploads/2025/07/PC_COMPEL_Final.pdf},

year  = {2025},

date = {2025-06-26},

urldate = {2025-06-26},

booktitle = {Workshop on Control and Modeling of Power Electronics},

keywords = {electromechanics, inverter control, modeling, systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{nokey,

title = {A unified approach for learning the dynamics of power system generators and inverter-based resources},

author = {Shaohui Liu and Weiqian Cai and Hao Zhu and Brian Johnson},

url = {https://johnsonlab.ece.utexas.edu/wp-content/uploads/2025/06/2409.14454v1.pdf},

year  = {2025},

date = {2025-01-07},

urldate = {2025-01-07},

booktitle = {Hawaii International Conference on System Sciences},

keywords = {modeling, neural network, systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{nokey,

title = {Equivalent-circuit models of grid-forming IBRs for electromagnetic-transient simulations},

author = {Nathan Baeckeland and Thomas Ankner and Sairaj Dhople and Brian Johnson and Gab-Su Seo},

url = {https://johnsonlab.ece.utexas.edu/wp-content/uploads/2024/08/88117.pdf},

year  = {2024},

date = {2024-07-12},

urldate = {2024-07-12},

booktitle = {Power and Energy Society General Meeting},

journal = { Power and Energy Society General Meeting},

keywords = {inverters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{nokey,

title = {Inverter-based emulation of single-phase air conditioner loads},

author = {Weiqian Cai and Minghui Lu and Brian Johnson},

url = {https://johnsonlab.ece.utexas.edu/wp-content/uploads/2024/08/Inverter-based_Emulation_of_Single-phase_Air_Conditioner_Loads.pdf},

doi = {10.1109/ECCE53617.2023.10362629},

year  = {2023},

date = {2023-10-29},

urldate = {2023-10-29},

booktitle = {Energy Conversion Congress and Exposition},

keywords = {electromechanics, inverter control, inverters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{nokey,

title = {A universal grid-forming inverter model and simulation-based characterization across timescales},

author = {Deepak Ramasubramanian and Evangelos Farantatos and Olaoluwapo Ajala and Sairaj Dhople and Brian Johnson},

url = {https://johnsonlab.ece.utexas.edu/wp-content/uploads/2023/04/0257-2.pdf},

year  = {2023},

date = {2023-01-03},

urldate = {2023-01-03},

booktitle = {Hawaii International Conference on System Sciences},

keywords = {inverters, modeling, systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{johnson2021generic,

title = {A generic primary-control model for grid-forming inverters: Towards interoperable operation and control},

author = {Brian Johnson and T. G. Roberts and Olaolu Ajala and Alejandro Dominguez-Garcia and Sairaj Dhople and Deepak Ramasubramanian and Aidan Tuohy and Deepak Divan and Benjamin Kroposki},

url = {https://johnsonlab.ece.utexas.edu/wp-content/uploads/2023/07/0334.pdf},

year  = {2022},

date = {2022-01-04},

urldate = {2022-01-04},

booktitle = {Hawaii International Conference on System Sciences},

pages = {3398-3407},

keywords = {inverter control, inverters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{lu2021unified,

title = {Unified equivalent-circuit models for voltage-source inverters that capture averaged dynamics and power-flow solutions in distribution networks},

author = {Minghui Lu and Victor Purba and Sairaj Dhople and Brian Johnson},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C49_2021_Unified-Equivalent-circuit-Models-for-Voltage-source-Inverters-that-Capture.pdf},

year  = {2021},

date = {2021-01-01},

urldate = {2021-01-01},

booktitle = {Hawaii International Conference on System Sciences},

pages = {1--10},

keywords = {inverters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{venkatramanan2021quantitative,

title = {Quantitative analysis of third-harmonic neutral-point current, its impacts, and mitigation in three-level NPC inverters},

author = {D Venkatramanan and Nimesh Vamanan and Brian Johnson and Sairaj Dhople},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C46_2021_Venkatramanan-et-al_Quantitative-Analysis-of-Third-harmonic-Neutral-point-Current-its-Impacts-and.pdf},

year  = {2021},

date = {2021-01-01},

urldate = {2021-01-01},

booktitle = {Energy Conversion Congress and Exposition},

pages = {3563--3570},

organization = {IEEE},

keywords = {inverters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{venkatramanan2021averaged,

title = {Averaged dynamic model of three-level NPC grid-following inverter for examining neutral-point instability},

author = {D Venkatramanan and Brian Johnson and Sairaj Dhople},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/NL_2021_Venkatramanan-et-al_Averaged-Dynamic-Model-of-Three-level-NPC-Grid-following-Inverter-for-Examining.pdf},

year  = {2021},

date = {2021-01-01},

urldate = {2021-01-01},

booktitle = {Workshop on Control and Modeling of Power Electronics},

pages = {1--7},

organization = {IEEE},

keywords = {inverters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{billmeyer2021modeling,

title = {Modeling and simulation of power-electronic inverters in analog electronic circuit simulators},

author = {Ryan Billmeyer and Minghui Lu and Brian Johnson and Sairaj Dhople},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C42_2021_Billmeyer-et-al_Modeling-and-Simulation-of-Power-Electronic-Inverters-in-Analog-Electronic.pdf},

year  = {2021},

date = {2021-01-01},

urldate = {2021-01-01},

booktitle = {International Symposium on Circuits and Systems},

pages = {1--5},

organization = {IEEE},

keywords = {modeling, systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{chandran2020equivalent,

title = {Equivalent circuit models for closed-loop multiphysics drive systems},

author = {Pranav Chandran and Brian Johnson and Blake Rose},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C40_2020_Chandran-et-al_Equivalent-Circuit-Models-for-Closed-loop-Multiphysics-Drive-Systems.pdf},

year  = {2020},

date = {2020-01-01},

urldate = {2020-01-01},

booktitle = {Workshop on Control and Modeling for Power Electronics},

pages = {1--7},

organization = {IEEE},

keywords = {electromechanics, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{lu2020comparison,

title = {Comparison of droop control and virtual oscillator control realized by Andronov-Hopf dynamics},

author = {Minghui Lu and Victor Purba and Sairaj Dhople and Brian Johnson},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C39_2020_Lu-et-al_Comparison-of-Droop-Control-and-Virtual-Oscillator-Control-Realized-by.pdf},

year  = {2020},

date = {2020-01-01},

urldate = {2020-01-01},

booktitle = {Conference of the IEEE Industrial Electronics Society},

pages = {4051--4056},

organization = {IEEE},

keywords = {inverters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{mallik2020accurate,

title = {Accurate small-signal discrete-time model of dual active bridge using saltation matrices},

author = {Rahul Mallik and Andrew Pace and Samuel Burden and Brian Johnson},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C34_2020_Mallik-et-al_Accurate-Small–Signal-Discrete–Time-Model-of-Dual-Active-Bridge-using-Saltation.pdf},

year  = {2020},

date = {2020-01-01},

urldate = {2020-01-01},

booktitle = {Energy Conversion Congress and Exposition},

pages = {6312--6317},

organization = {IEEE},

keywords = {dc-dc converters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{johnson2019circuit,

title = {Circuit-equivalent models for current-controlled inverters},

author = {Brian Johnson and Minghui Lu and Victor Purba and Sairaj Dhople},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C31_2019_Johnson-et-al_Circuit-equivalent-Models-for-Current-controlled-Inverters.pdf},

year  = {2019},

date = {2019-01-01},

urldate = {2019-01-01},

booktitle = {Workshop on Control and Modeling for Power Electronics},

pages = {1--5},

organization = {IEEE},

keywords = {dc-dc converters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{mallik2019equivalent,

title = {Equivalent circuit models of voltage-controlled dual active bridge converters},

author = {Rahul Mallik and Branko Majmunović and Satyaki Mukherjee and Soham Dutta and Gab-Su Seo and Dragan Maksimović and Brian Johnson},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C28_2019_Mallik-et-al_Equivalent-Circuit-Models-of-Voltage-controlled-Dual-Active-Bridge-Converters.pdf},

year  = {2019},

date = {2019-01-01},

urldate = {2019-01-01},

booktitle = {Workshop on Control and Modeling for Power Electronics},

pages = {1--4},

organization = {IEEE},

keywords = {dc-dc converters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{purba2019reduced,

title = {Reduced-order aggregate model for parallel-connected grid-tied three-phase photovoltaic inverters},

author = {Victor Purba and Brian Johnson and Sairaj Dhople},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/NL_2019_Purba-et-al_Reduced-order-Aggregate-Model-for-Parallel-connected-Grid-tied-Three-phase.pdf},

year  = {2019},

date = {2019-01-01},

urldate = {2019-01-01},

booktitle = {Photovoltaic Specialists Conference},

pages = {0724--0729},

organization = {IEEE},

keywords = {modeling, systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{pierre2019bulk,

title = {Bulk power system dynamics with varying levels of synchronous generators and grid-forming power inverters},

author = {Brian Pierre and Hugo Villegas Pico and Ryan Elliott and Jack Flicker and Yashen Lin and Brian Johnson and Joseph Eto and Robert Lasseter and Abraham Ellis},

url = {https://bbjohnson.org/nl_2019_pierre-et-al_bulk-power-system-dynamics-with-varying-levels-of-synchronous-generators-and/https://bbjohnson.org/wp-content/uploads/2022/02/NL_2019_Pierre-et-al_Bulk-Power-System-Dynamics-with-Varying-Levels-of-Synchronous-Generators-and.pdf},

year  = {2019},

date = {2019-01-01},

urldate = {2019-01-01},

booktitle = {Photovoltaic Specialists Conference},

pages = {0880--0886},

organization = {IEEE},

keywords = {modeling, systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{sinha2018synchronization,

title = {Synchronization of Linear-type oscillators in heterogenous electrical networks},

author = {Mohit Sinha and Florian Dörfler and Brian Johnson and Sairaj Dhople},

url = {https://bbjohnson.org/wp-content/uploads/2022/04/C25_2018_Sinha-et-al_Synchronization-of-linear-type-oscillators-in-heterogenous-electrical-networks.pdf},

year  = {2018},

date = {2018-01-01},

urldate = {2018-01-01},

booktitle = {Indian Control Conference},

pages = {240--245},

organization = {IEEE},

keywords = {modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{sinha2018stabilizing,

title = {Stabilizing phase-balanced or phase-synchronized trajectories of Van der Pol oscillators in uniform electrical networks},

author = {Mohit Sinha and Florian Dörfler and Brian Johnson and Sairaj Dhople},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C24_2018_Sinha-et-al_Stabilizing-Phase-balanced-or-Phase-synchronized-Trajectories-of-Van-der-Pol.pdf},

year  = {2018},

date = {2018-01-01},

urldate = {2018-01-01},

booktitle = {Allerton Conference on Communication, Control, and Computing},

pages = {335--340},

organization = {IEEE},

keywords = {inverters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{khan2018reduced,

title = {A reduced-order aggregated model for parallel inverter systems with virtual oscillator control},

author = {Mohammed Khan and Yashen Lin and Brian Johnson and Victor Purba and Mohit Sinha and Sairaj Dhople},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C22_2018_Khan-et-al_A-Reduced-order-Aggregated-Model-for-Parallel-Inverter-Systems-with-Virtual.pdf},

year  = {2018},

date = {2018-01-01},

urldate = {2018-01-01},

booktitle = {Workshop on Control and Modeling for Power Electronics},

pages = {1--6},

organization = {IEEE},

keywords = {inverters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{achanta2018self,

title = {Self-synchronizing series-connected inverters},

author = {Prasanta Achanta and Mohit Sinha and Brian Johnson and Sairaj Dhople and Dragan Maksimović},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C21_2018_Achanta-et-al_Self-synchronizing-Series-connected-Inverters.pdf},

year  = {2018},

date = {2018-01-01},

urldate = {2018-01-01},

booktitle = {Workshop on Control and Modeling for Power Electronics},

pages = {1--6},

organization = {IEEE},

keywords = {inverters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{khan2018stability,

title = {Stability assessment of a system comprising a single machine and a virtual oscillator controlled inverter with scalable ratings},

author = {Mohammed Khan and Yashen Lin and Brian Johnson and Mohit Sinha and Sairaj Dhople},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C20_2018_Siraj-Khan-et-al_Stability-Assessment-of-a-System-Comprising-a-Single-Machine-and-a-Virtual.pdf},

year  = {2018},

date = {2018-01-01},

urldate = {2018-01-01},

booktitle = {Conference of the IEEE Industrial Electronics Society},

pages = {4057--4062},

organization = {IEEE},

keywords = {modeling, systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{sinha2017phase,

title = {Phase balancing in globally connected networks of linear oscillators},

author = {Mohit Sinha and Florian Dörfler and Brian Johnson and Sairaj Dhople},

url = {https://bbjohnson.org/wp-content/uploads/2022/04/C18_2017_Sinha-et-al_Phase-balancing-in-globally-connected-networks-of-linear-oscillators.pdf},

year  = {2017},

date = {2017-01-01},

urldate = {2017-01-01},

booktitle = {Conference on Decision and Control},

pages = {595--600},

organization = {IEEE},

keywords = {modeling, systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{johnson2017comparison,

title = {Comparison of virtual oscillator and droop control},

author = {Brian Johnson and Miguel Rodriguez and Mohit Sinha and Sairaj Dhople},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C16_2017_Johnson-et-al_Comparison-of-virtual-oscillator-and-droop-control.pdf},

year  = {2017},

date = {2017-01-01},

urldate = {2017-01-01},

booktitle = {Workshop on Control and Modeling for Power Electronics},

pages = {1--6},

organization = {IEEE},

keywords = {inverters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{purba2017reduced,

title = {Reduced-order structure-preserving model for parallel-connected three-phase grid-tied inverters},

author = {Victor Purba and Sairaj Dhople and Saber Jafarpour and Francesco Bullo and Brian Johnson},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C15_2017_Purba-et-al_Reduced-order-structure-preserving-model-for-parallel-connected-three-phase.pdf},

year  = {2017},

date = {2017-01-01},

urldate = {2017-01-01},

booktitle = {Workshop on Control and Modeling for Power Electronics},

pages = {1--7},

organization = {IEEE},

keywords = {modeling, systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{lin2017stability,

title = {Stability assessment of a system comprising a single machine and inverter with scalable ratings},

author = {Yashen Lin and Brian Johnson and Vahan Gevorgian and Victor Purba and Sairaj Dhople},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C14_2017_Lin-et-al_Stability-assessment-of-a-system-comprising-a-single-machine-and-inverter-with.pdf},

year  = {2017},

date = {2017-01-01},

urldate = {2017-01-01},

booktitle = {North American Power Symposium},

pages = {1--6},

organization = {IEEE},

keywords = {modeling, systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{johnson2016optimal,

title = {Optimal structures for voltage controllers in inverters},

author = {Brian Johnson and Blake Lundstrom and Srinivasa Salapaka and Murti Salapaka},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C13_2016_MTNS-OptimalStructuresForVoltageControllersInInverters.pdf},

year  = {2016},

date = {2016-01-01},

urldate = {2016-01-01},

booktitle = {International Symposium on Mathematical Theory of Networks and Systems},

institution = {National Renewable Energy Laboratory},

keywords = {modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{sinha2016synchronization,

title = {Synchronization of linear-type oscillators in uniform electrical networks},

author = {Mohit Sinha and Florian Dörfler and Brian Johnson and Sairaj Dhople},

url = {https://bbjohnson.org/wp-content/uploads/2022/04/C12_2016_Sinha-et-al_Synchronization-of-linear-type-oscillators-in-uniform-electrical-networks.pdf},

year  = {2016},

date = {2016-01-01},

urldate = {2016-01-01},

booktitle = {American control conference},

pages = {4311--4316},

organization = {IEEE},

keywords = {modeling, systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{sinha2015nonlinear,

title = {Nonlinear supersets to droop control},

author = {Mohit Sinha and Sairaj Dhople and Brian Johnson and Nathan Ainsworth and Florian Dörfler},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C11_2015_Sinha-et-al_Nonlinear-supersets-to-droop-control.pdf},

year  = {2015},

date = {2015-01-01},

urldate = {2015-01-01},

booktitle = {Workshop on Control and Modeling for Power Electronics},

pages = {1--6},

organization = {IEEE},

keywords = {inverters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{sinha2015virtual,

title = {Virtual oscillator control subsumes droop control},

author = {Mohit Sinha and Florian Dörfler and Brian Johnson and Sairaj Dhople},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C10_2015_Sinha-et-al_Virtual-Oscillator-Control-subsumes-droop-control.pdf},

year  = {2015},

date = {2015-01-01},

urldate = {2015-01-01},

booktitle = {American Control Conference},

pages = {2353--2358},

organization = {IEEE},

keywords = {inverters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{salapaka2014viability,

title = {Viability and analysis of implementing only voltage-power droop for parallel inverter systems},

author = {Srinivasa Salapaka and Brian Johnson and Blake Lundstrom and Sangsun Kim and Scott Collyer and Murti Salapaka},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C9_2014_Salapaka-et-al_Viability-and-analysis-of-implementing-only-voltage-power-droop-for-parallel.pdf},

year  = {2014},

date = {2014-01-01},

urldate = {2014-01-01},

booktitle = {Conference on Decision and Control},

pages = {3246--3251},

organization = {IEEE},

keywords = {inverters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{Dörfler2014synchronization,

title = {Synchronization of nonlinear circuits in dynamic electrical networks},

author = {Florian Dörfler and Sairaj Dhople and Brian Johnson and Abdullah Hamadeh},

url = {https://bbjohnson.org/wp-content/uploads/2022/02/C8_2014_Dorfler-et-al_Synchronization-of-nonlinear-circuits-in-dynamic-electrical-networks.pdf},

year  = {2014},

date = {2014-01-01},

urldate = {2014-01-01},

booktitle = {European Control Conference},

pages = {552--557},

organization = {IEEE},

keywords = {inverters, modeling},

pubstate = {published},

tppubtype = {inproceedings}

}