Chance-Constrained Optimal Power Flow: Risk-Aware Network Control under Uncertainty
Smart grid goals include a commitment to large penetration of highly fluctuating renewables, thus calling to reconsider current practices, in particular the use of standard OPF, which can lead to frequent conditions where power line flow ratings are significantly exceeded.
Options for Control of Reactive Power by Distributed Photovoltaic Generators
It is found that local control schemes are able to maintain voltage within acceptable bounds and how the control system can be continuously tuned between robust voltage control, suitable for daytime operation when circuit conditions can change rapidly, and loss minimization better suited for nighttime operation.
Synchronization in complex oscillator networks and smart grids
This work presents a unique, concise, and closed-form condition for synchronization of the fully nonlinear, nonequilibrium, and dynamic network of a strongly coupled and sufficiently homogeneous network.
Sparsity-Promoting Optimal Wide-Area Control of Power Networks
- Florian DörIer, M. Jovanović, M. Chertkov, F. Bullo
- EngineeringIEEE Transactions on Power Systems
- 16 July 2013
The New England power grid model is used to demonstrate that the proposed combination of the sparsity-promoting control design with the slow coherency objectives performs almost as well as the optimal centralized control while only making use of a single wide-area communication link.
Loop series for discrete statistical models on graphs
The derivation details, logic, and motivation for the three loop calculus introduced in Chertkov and Chernyak (2006 Phys.
Phenomenology of Rayleigh-Taylor turbulence.
- M. Chertkov
- PhysicsPhysical Review Letters
- 9 September 2003
This work analyzes the advanced mixing regime of the Rayleigh-Taylor incompressible turbulence in the small Atwood number Boussinesq approximation to resolve the temporal behavior and the small-scale spatial correlations of velocity and temperature fields inside the mixing zone.
Local Control of Reactive Power by Distributed Photovoltaic Generators
- K. Turitsyn, P. Šulc, S. Backhaus, M. Chertkov
- EngineeringFirst IEEE International Conference on Smart Grid…
- 1 June 2010
A local control scheme that dispatches reactive power from each PV inverter based on local instantaneous measurements of the real and reactive components of the consumed power and the real power generated by the PVs is suggested.
Small-Scale Turbulent Dynamo
Kinematic dynamo theory is presented here for turbulent conductive fluids. We describe how inhomogeneous magnetic fluctuations are generated below the viscous scale of turbulence where the spatial…
Lagrangian tetrad dynamics and the phenomenology of turbulence
A new phenomenological model of turbulent fluctuations is constructed by considering the Lagrangian dynamics of four points (the tetrad). The closure of the equations of motion is achieved by…
Loop Calculus in Statistical Physics and Information Science
Considering a discrete and finite statistical model of a general position, an exact expression for the partition function in terms of a finite series is introduced and applications of the loop calculus in statistical physics and information science are discussed.