3 papers
math.OC2018
A Two-Stage Polynomial Approach to Stochastic Optimization of District Heating Networks
Marc Hohmann, Joseph Warrington, John Lygeros
In this paper, we use stochastic polynomial optimization to derive high-performance operating strategies for heating networks with uncertain or variable demand. The heat flow in di…
math.OC2018
A Moment and Sum-of-Squares Extension of Dual Dynamic Programming with Application to Nonlinear Energy Storage Problems
Marc Hohmann, Joseph Warrington, John Lygeros
We present a finite-horizon optimization algorithm that extends the established concept of Dual Dynamic Programming (DDP) in two ways. First, in contrast to the linear costs, dynam…
math.OC2018
Optimal Linearizations of Power Systems with Uncertain Supply and Demand
Marc Hohmann, Joseph Warrington, John Lygeros
Linearized models of power systems are often desirable to formulate tractable control and optimization problems that still reflect real-world physics adequately under various opera…