Super-relaxation of space-time-quantized ensemble of energy loads

  title={Super-relaxation of space-time-quantized ensemble of energy loads},
  author={Ilia Luchnikov and David M'etivier and Henni Ouerdane and Michael Chertkov},
3 Citations



Mean Field Control for Efficient Mixing of Energy Loads

It is shown that mean-field control with nonlinear feedback on the cumulative consumption, assumed available to the aggregator via direct physical measurements of the energy flow, allows the ensemble to recover from its use in the demand response regime, i.e., transition to a statistical steady state significantly faster than in the case of the fixed feedback.

Power of Ensemble Diversity and Randomization for Energy Aggregation

An ensemble of diverse (inhomogeneous) thermostatically controlled loads aggregated to provide the demand response services in a district-level energy system is studied, showing that stronger regularity of the DPD results in faster mixing, which is similar to the Landau damping in plasma physics.

Electric load model synthesis by diffusion approximation of a high-order hybrid-state stochastic system

A statistical approach is used to model the dynamics of the electric demand of large aggregates of electric space heaters or air conditioners. The importance of such loads is twofold. First, they

Identification of alternating renewal electric load models from energy measurements

An identification algorithm for a previously proposed stochastic hybrid-state Markov model of individual heating-cooling loads is presented and some intriguing features likely to be shared by a wide class of alternating renewal processes are revealed.

Modeling and control insights into demand-side energy management through setpoint control of thermostatic loads

This paper examines the problem of using thermostat offset signals to directly control distributed air conditioning loads attached to the grid. The paper models these loads using a novel partial

Ensemble of Thermostatically Controlled Loads: Statistical Physics Approach

This work considered aggregation of a large group of similar devices into a statistical ensemble, where the devices operate following the same dynamics, subject to stochastic perturbations and randomized, Poisson on/off switching policy, to derive the spectrum of the non-equilibrium (detailed balance broken) statistical system.