Stochastic Day Ahead Load Scheduling for Aggregated Distributed Energy Resources (original) (raw)

Generalized Minimax: A Self-Enforcing Pricing Scheme for Load Aggregators

IEEE Transactions on Smart Grid, 2016

This paper introduces a novel electricity retail pricing scheme we designate Generalized Minimax (GenMinimax). GenMinimax is characterized by three rate zones with the narrowest in the middle, called threshold band, constituting the attraction zone where the lowest rate is charged. The scheme is designed so that the threshold band envelops a negotiated reference consumption profile. We consider a cooperative group of customers pooling together their flexible loads and participating in the energy market via an aggregator. The aggregator computes an optimal daily profile taking into account the gross daily demand from the consumer group and the energy market's expected conditions and opportunities, and assigns prices and rate zones accordingly. The consumer group reacts by deferring and curtailing the flexible loads in order to minimize their daily cost consisting of the energy bill, the utility cost and the curtailment reward. We model the consumers' response and interaction with the aggregator as a two-stage sequential optimization problem. We perform sensitivity analysis over the most significant parameter combinations through two scenarios and five cases. We compare the performance of our scheme to that of Time-of-Use (TOU) and Real Time Pricing (RTP). Using a 40-home aggregate energy profile, we show that consumers can match a test supply profile with 5% maximum error and 2% average error while TOU and RTP can lead respectively to 163% and 97% maximum error, and 37% and 25% average error.

Dynamic electricity pricing for electric vehicles using stochastic programming

Energy, 2017

Electric Vehicles (EVs) are an important source of uncertainty, due to their variable demand, departure time and location. In smart grids, the electricity demand can be controlled via Demand Response (DR) programs. Smart charging and vehicle-to-grid seem highly promising methods for EVs control. However, high capital costs remain a barrier to implementation. Meanwhile, incentive and price-based schemes that do not require high level of control can be implemented to influence the EVs' demand. Having effective tools to deal with the increasing level of uncertainty is increasingly important for players, such as energy aggregators. This paper formulates a stochastic model for day-ahead energy resource scheduling, integrated with the dynamic electricity pricing for EVs, to address the challenges brought by the demand and renewable sources uncertainty. The two-stage stochastic programming approach is used to obtain the optimal electricity pricing for EVs. A realistic case study projected for 2030 is presented based on Zaragoza network. The results demonstrate that it is more effective than the deterministic model and that the optimal pricing is preferable. This study indicates that adequate DR schemes like the proposed one are promising to increase the customers' satisfaction in addition to improve the profitability of the energy aggregation business.

Stochastic scheduling of aggregators of plug-in electric vehicles for participation in energy and ancillary service markets

Energy, 2017

Plug-in electric vehicles are expected to play a major role in the transportation system as the environmental problems and energy crisis are being more and more urgent recently. Implementing a large number of vehicles with proper control could bring an opportunity of large storage and flexibility for power systems. The plug-in electric vehicle aggregator is responsible for providing power and controlling the charging pattern of the plug-in electric vehicles under its contracted area. This paper deals with the problem of optimal scheduling problem of plug-in electric vehicle aggregators in electricity market considering the uncertainties of market prices, availability of vehicles and status of being called by the ISO in the reserve market. The impact of the market price and reserve market uncertainties on the electric vehicle scheduling problem is characterized through a stochastic programming framework. The objective of the aggregator is to maximize its profit by charging the plugin electric vehicles on the low price time intervals as well as participating in ancillary service markets. The operational constraints of plug-in electric vehicles and constraints of vehicle to grid are modeled in the proposed framework. An illustrative example is provided to confirm the performance of the proposed model.

Optimal Power Market Participation of Plug-In Electric Vehicles Pooled by Distribution Feeder

IEEE Transactions on Power Systems, 2013

Electric vehicle grid integration has the potential to stress distribution network equipment and increase peak consumption, unless properly managed. In this paper, we use dynamic programming to develop a decision support algorithm and market participation policy for a load aggregator (LA) managing the charging of plug-in electric vehicles (PEVs) connecting at the same distribution network feeder. The LA submits inflexible and flexible bids to a liberalized hour-ahead power market, while monitoring localized feeder and PEV rate constraints. Flexible bids, which include a bid price or utility, can be cleared as regulation service, cleared as energy, or rejected by the market operator. These market events are probabilistically included within the modeling framework. A case study, based on New York independent system operator data, found that the market participation policy may reduce daily electricity costs for PEVs significantly more than is expected through forecasted electricity price based scheduling.

Optimal Power Market Participation of Plug-In Electric Vehicles Pooled by Distribution Feeder IEEE PES Transactions on Power Systems Optimal Power Market Participation of Plug-In Electric Vehicles Pooled by Distribution Feeder

Electric vehicle grid integration has the potential to stress distribution network equipment and increase peak consumption, unless properly managed. In this paper, we use dynamic programming to develop a decision support algorithm and market participation policy for a load aggregator (LA) managing the charging of plug-in electric vehicles (PEVs) connecting at the same distribution network feeder. The LA submits inflexible and flexible bids to a liberalized hour-ahead power market, while monitoring localized feeder and PEV rate constraints. Flexible bids, which include a bid price or utility, can be cleared as regulation service, cleared as energy, or rejected by the market operator. These market events are probabilistically included within the modeling framework. A case study, based on New York independent system operator data, found that the market participation policy may reduce daily electricity costs for PEVs significantly more than is expected through forecasted electricity price based scheduling.

EV-integrated Community Microgrid Scheduling considering Distributed Generation, Non-flexible Load and Dynamic Pricing Uncertainties

2022

Flexible devices with remote monitoring and control availabilities, integrated behind-the-meter or last mile of electricity (grid edge) have significantly become widespread in the past decade. There are emerging distributed energy resource (DER) management solutions that give DER more active roles in power system and energy market operation. DER coordination incorporates inherent uncertainties related to distributed generation from intermittent renewables, non-flexible loads and dynamic prices. Consideration of uncertainties in optimum energy scheduling in community microgrids with a large number of electric vehicles can provide considerable benefits. This study presents a cloud-based optimal energy scheduling approach that considers diverse uncertainties in EV charging coordination as part of community microgrid energy scheduling. A case study is conducted for a representative community microgrid to investigate the benefits and challenges in uncertainty considered optimal energy scheduling.

Risk-Constrained Profit Maximization for Microgrid Aggregators With Demand Response

IEEE Transactions on Smart Grid, 2015

In this paper, we consider the operation optimization for a microgrid (MG) aggregator which can procure energy from various sources including the pool market and local distributed energy resources (DERs) to serve MG customers. We assume that the MG aggregator sells electricity to customers at a predefined retail rate and it also offers customers various contracts for adjusting their loads. Our design objective is to determine the optimal hourly bids that the MG aggregator submits to the dayahead (DA) market to maximize its profit. To deal with various uncertainties, a risk-constrained scenario-based stochastic programming framework is proposed where the MG aggregator's risk aversion is modeled using conditional value at risk (CVaR) method. The proposed formulation enables customers' demand response (DR) aggregation to be integrated into the operation of the MG aggregator via contractual agreements. This design is not only beneficial for both MG aggregator and customers, but also facilitates the operation of the system operator (SO) since a single entity (i.e., the MG aggregator) is visible to the SO instead of two separate entities (i.e., a MG aggregator and a DR aggregator). Extensive numerical results are shown to demonstrate the effectiveness of the proposed framework. Index Terms-Demand response aggregation, conditional value at risk, two-stage stochastic optimization, microgrid aggregator. NOMENCLATURE Indices (.) .,t,s At time t in scenario s i, w, k Indices of DGs, WPs, and BESs r Indices LC/LS contracts t, s Indices of time slots and scenarios Parameters and Constants β Risk-aversion parameter ∆T Duration of time slot (h) η C k , η D k Charging/discharging efficiency of BES k c LL t

Optimal Demand Response Aggregation in Wholesale Electricity Markets

IEEE Transactions on Smart Grid, 2000

Advancements in smart grid technologies have made it possible to apply various options and strategies for the optimization of demand response (DR) in electricity markets. DR aggregation would accumulate potential DR schedules and constraints offered by small-and medium-sized customers for the participation in wholesale electricity markets. Despite various advantages offered by the hourly DR in electricity markets, practical market tools that can optimize the economic options available to DR aggregators and market participants are not readily attainable. In this context, this paper presents an optimization framework for the DR aggregation in wholesale electricity markets. The proposed study focuses on the modeling strategies for energy markets. In the proposed model, DR aggregators offer customers various contracts for load curtailment, load shifting, utilization of onsite generation, and energy storage systems as possible strategies for hourly load reductions. The aggregation of DR contracts is considered in the proposed price-based self-scheduling optimization model to determine optimal DR schedules for participants in day-ahead energy markets. The proposed model is examined on a sample DR aggregator and the numerical results are discussed in the paper.

Day-Ahead Stochastic Scheduling Model Considering Market Transactions in Smart Grids

2018 Power Systems Computation Conference (PSCC), 2018

The integration of renewable generation and electric vehicles (EVs) into smart grids poses an additional challenge to the stochastic energy resource management problem due to the uncertainty related to weather forecast and EVs user-behavior. Moreover, when electricity markets are considered, market price variations cannot be disregarded. In this paper, a twostage stochastic programming approach to schedule the dayahead operation of energy resources in smart grids under uncertainty is presented. A realistic case study is performed using a large-scale scenario with nearly 4 million variables with the goal to minimize expected operation cost of energy aggregators. Three scenarios are analyzed to understand the effect of market transactions and external suppliers on the aggregator model. The results suggest that the market transactions can reduce expected cost, while the external supplier offers risk-free price. In addition, the performance metric shows the superiority of the stochastic approach over an equivalent deterministic model.

Optimizing EV Charging with Local Renewables Amid Uncertain Arrival and Grid Prices

IJNRES, 2024

In this study, we address the optimal scheduling of electric vehicle (EV) charging at a multi-point charging station equipped with renewable energy sources and grid energy access. We model the uncertainty of EV arrivals, intermittent renewable energy generation, and fluctuating grid power prices as independent Markov processes. Additionally, the required charging energy for each EV is stochastic. Our objective is to minimize the average waiting time for EVs while adhering to long-term cost constraints. We introduce a queue mapping technique to transform the EV queue into a charging demand queue, establishing equivalence in minimizing their average lengths. We then concentrate on minimizing the charging demand queue length under the long-term cost constraint using a Markov decision process (MDP) framework. The system state encompasses the charging demand queue length, EV arrival patterns, renewable energy storage battery levels, renewable energy arrivals, and grid power prices. Our proposed 2-D policy involves decisions regarding the number of charging demands and energy allocation from the storage battery. We derive necessary conditions for the optimal policy and explore reducing the 2-D policy to focus solely on the number of charging demands. Furthermore, we identify optimal scenarios for charging no demand or maximizing charging demand based on defined sets of system states.