# Algorithms and optimization for power systems reliability

Understanding the fundamental interplay between network topology and failure propagation in power systems using graph theory and spectral methods.

Collaborators: Linqui Guo, Chen Liang, Steven Low, Adam Wierman

See below for the list of related publications and preprints.

### Related

## Publications

#### Pricing uncertainty in stochastic multi-stage electricity markets (2023)

L. Werner, N. Christianson,

**A. Zocca**, A. Wierman, S.H. Low*Accepted at 2023 IEEE CDC conference*
How to price uncertainty in multi-stage electricity markets?

#### Uncovering Load-Altering Attacks Against $N-1$ Secure Power Grids: A Rare-Event Sampling Approach (2023)

M. Goodridge, S. Lakshminarayana,

**A. Zocca***Submitted to IEEE Transactions on Power Systems*
How to identify the most impactful dynamic load-altering attacks?

#### Analysis of Cascading Failures Due to Dynamic Load-Altering Attacks (2023)

M. Goodridge,

**A. Zocca**, S. Lakshminarayana*IEEE SmartGridComm 2023*
What are the features of the most impactful dynamic load-altering attacks?

#### Adaptive Network Response to Line Failures in Power Systems (2023)

L. Chen, L. Guo,

**A. Zocca**, S.H. Low, A. Wierman*IEEE Transactions on Control of Network Systems*
How to respond to line failure using frequency regulation that synergizes with the network topology?

#### Interface Networks for Failure Localization in Power Systems (2022)

L. Chen,

**A. Zocca**, S.H. Low, A. Wierman*ACC 2022*
Which interface subnetwork are best to connect sub-grids aiming to improve their robustness?

#### A Spectral Representation of Power Systems with Applications to Adaptive Grid Partitioning and Cascading Failure Localization (2021)

**A. Zocca**, L. Chen, L. Guo, S.H. Low, A. Wierman

*Submitted*

How to use spectral graph theory to improve power networks robustness against cascading failures?

#### Line Failure Localization of Power Networks. Part II: Cut Set Outages (2021)

L. Guo, L. Chen,

**A. Zocca**, S.H. Low, A. Wierman*IEEE Transactions on Power Systems*
How does the network topology affect failure propagation in power systems? Here’s comprehensive theory in two parts!

#### Line Failure Localization of Power Networks. Part I: Non-cut outages (2021)

L. Guo, L. Chen,

**A. Zocca**, S.H. Low, A. Wierman*IEEE Transactions on Power Systems*
How does the network topology affect failure propagation in power systems? Here’s a comprehensive theory in two parts!

#### An Integrated Approach for Failure Mitigation & Localization in Power Systems (2021)

L. Chen, L. Guo,

**A. Zocca**, S. Yu, S.H. Low, A. Wierman*Electric Power Systems Research*
How to combine fast-scale frequency control with line switching to make power networks more robust?

#### Optimization of stochastic lossy transport networks and applications to power grids (2021)

**A. Zocca**, B. Zwart

*Stochastic Systems*

How to optimally cope with correlated stochastic fluctuations in power systems?

#### Mitigating Cascading Failures via Local Responses (2020)

L. Chen, F. Zhou,

**A. Zocca**, S.H. Low, A. Wierman*IEEE SmartGridComm 2020*
Is it possible to react only locally yet efficiently to line failures in power systems?

#### Less is More: Real-time Failure Localization in Power Systems (2019)

L. Guo, C. Liang,

**A. Zocca**, S.H. Low, A. Wierman*2019 Conference on Decision and Control (CDC)*
A distributed control strategy operating on the frequency regulation timescale with provable failure mitigation properties and localization guarantees

#### Failure Localization in Power Systems via Tree Partitions (2018)

L. Guo, C. Liang,

**A. Zocca**, S.H. Low, A. Wierman*2018 Conference on Decision and Control (CDC)*
How do line failure propagate in power systems? Graph theory comes to rescue!

#### Minimizing heat loss in DC networks using batteries (2016)

**A. Zocca**, B. Zwart

*2016 Allerton Conference on Communication, Control, and Computing*

How to minimize losses using controllable loads in power systems affected by uncertainty?