High Voltage Direct Current (HVDC) lines and grids interconnect AC grids to increase reliability, facilitate integration of electricity markets and connect offshore wind generation. To address the growing uncertainty in the operation of such systems and fully utilize HVDC control capabilities, this work proposes a semidefinite relaxation of a chance constrained AC optimal power flow (OPF) for i...

We propose a stochastic MPC scheme using an optimization over the initial state for predicted trajectory. Considering linear discrete-time systems under unbounded additive disturbances subject to chance constraints, we use constraint tightening based on probabilistic reachable sets design MPC. The avoids infeasibility issues arising from by including as decision variable. show that stabilizing ...

The California Independent System Operator (CAISO) has implemented Convergence Bidding (CB) on February 1, 2011 under Federal Energy Regulatory Commission’s (FERC) September 21, 2006 Market Redesign and Technology Upgrade (MRTU) Order. CB is a financial mechanism that allows market participants, including electricity suppliers, consumers and virtual traders, to arbitrage price differences betwe...

This paper considers finite-horizon optimal control for multi-agent systems subject to additive Gaussiandistributed stochastic disturbance and a chance constraint. The problem is particularly difficult when agents are coupled through a joint chance constraint, which limits the probability of constraint violation by any of the agents in the system. Although prior approaches [1][2] can solve such...

I argue that there are non-trivial objective chances (that is, objective chances other than 0 and 1) even in deterministic worlds. The argument is straightforward. I observe that there are probabilistic special scientific laws even in deterministic worlds. These laws project nontrivial probabilities for the events that they concern. And these probabilities play the chance role and so should be ...

This paper presents a Distributed Stochastic Model Predictive Control algorithm for networks of linear systems with multiplicative uncertainties and local chance constraints on the states control inputs. The are approximated via Cantelli's inequality by means expected value covariance. cooperative is based distributed Alternating Direction Method Multipliers, which renders controller fully dist...

To build a cooperative logistics network covering multiple enterprises, a planning method that can build a long-distance transportation network is required. Many strict constraints are imposed on this type of problem. To solve this problem efficiently, a selfish-constraint-satisfaction genetic algorithm (GA) is proposed. In this type GA, each gene of an individual satisfies only its constraints...

We have attempted to quantify the frequency and effects of slightly deleterious mutations (SDMs), those that have selective effects close to the reciprocal of the effective population size of a species, by comparing the level of selective constraint in protein-coding genes of related species that have different present-day effective population sizes. In our two comparisons, the species with the...

We investigate constrained optimal control problems for linear stochastic dynamical systems evolving in discrete time. We consider minimization of an expected value cost subject to probabilistic constraints. We study the convexity of a finite-horizon optimization problem in the case where the control policies are affine functions of the disturbance input. We propose an expectation-based method ...

As power systems are operated closer to their technical limits, dynamic thermal line rating (DLR) can be used to enable additional dispatching flexibility. DLR is used to dynamically adapt the ampacity of the conductors, i.e. the maximum allowed amount of current a conductor can carry without overheating, according to the meteorological conditions. This paper proposes a probabilistic N-1 securi...