Chance-constrained optimal power flow: Risk-aware network control under uncertainty

D Bienstock, M Chertkov, S Harnett - Siam Review, 2014 - SIAM
When uncontrollable resources fluctuate, optimal power flow (OPF), routinely used by the
electric power industry to redispatch hourly controllable generation (coal, gas, and hydro …

Distributionally robust joint chance-constrained optimization for networked microgrids considering contingencies and renewable uncertainty

Y Ding, T Morstyn, MD McCulloch - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In light of a reliable and resilient power system under extreme weather and natural disasters,
networked microgrids integrating local renewable resources have been adopted extensively …

Chance constrained reserve scheduling using uncertain controllable loads Part I: Formulation and scenario-based analysis

M Vrakopoulou, B Li, JL Mathieu - IEEE Transactions on Smart …, 2017 - ieeexplore.ieee.org
This paper develops a multi-period chance constrained optimal power flow model to
schedule generation and reserves from both generators and aggregations of controllable …

Policy-based reserves for power systems

J Warrington, P Goulart, S Mariéthoz… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
This paper introduces the concept of affine reserve policies for accommodating large,
fluctuating renewable in feeds in power systems. The approach uses robust optimization …

Probabilistic guarantees for the N-1 security of systems with wind power generation

M Vrakopoulou, K Margellos, J Lygeros… - Reliability and risk …, 2013 - Springer
We propose a novel framework for designing an N-1 secure generation day-ahead dispatch
for power systems with a high penetration of fluctuating power sources, eg, wind or PV …

Stochastic optimal power flow based on convex approximations of chance constraints

T Summers, J Warrington, M Morari… - 2014 Power Systems …, 2014 - ieeexplore.ieee.org
This paper presents a computationally-efficient approach for solving stochastic, multiperiod
optimal power flow problems. The objective is to determine power schedules for controllable …

Stochastic model predictive control using a combination of randomized and robust optimization

X Zhang, K Margellos, P Goulart… - 52nd IEEE conference …, 2013 - ieeexplore.ieee.org
In this paper, we focus on Stochastic Model Predictive Control (SMPC) problems for systems
with linear dynamics and additive uncertainty. One way to address such problems is by …

Stochastic optimal power flow with uncertain reserves from demand response

M Vrakopoulou, JL Mathieu… - 2014 47th Hawaii …, 2014 - ieeexplore.ieee.org
Demand response (DR) can provide reserves in power systems but a fundamental
challenge is that the amount of capacity available from DR is time-varying and uncertain. We …

Variance-aware optimal power flow: Addressing the tradeoff between cost, security, and variability

D Bienstock, A Shukla - IEEE Transactions on Control of …, 2019 - ieeexplore.ieee.org
Recent work has studied modifications to DC optimal power flow (DC-OPF) computations so
as to better account for risk arising as a result of stochastic variation in the output of …

A unified analysis of security-constrained OPF formulations considering uncertainty, risk, and controllability in single and multi-area systems

M Vrakopoulou, S Chatzivasileiadis… - … Bulk Power System …, 2013 - ieeexplore.ieee.org
This paper presents a variety of different Security Constrained Optimal Power Flow
formulations addressing four power system operation and planning problems:(a) forecast …