A Robust Optimization Model to the Day-Ahead Operation of an Electric Vehicle Aggregator Providing Reliable Reserve (original) (raw)

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.

Robust Optimization of EV Charging Schedules in Unregulated Electricity Markets

IEEE Transactions on Smart Grid, 2017

In this article, we address the problem of optimal electric vehicle charging in an unregulated electricity market. This problem is known to be highly nonlinear even in the case of fixed electricity prices due to a nonlinear state-of-charge curve representing physical battery limitations. We design tractable formulations for single and multiple EV charging frameworks. In the first part of the paper, we develop a new efficient cutting plane method, that can be used for solving charging optimization problem for both scenarios of known and uncertain electricity prices. The latter scenario with real-time electricity rates is considered in the second part of the paper. We obtain robust optimization counterparts of the nominal charging problems that are particularly important from an economic perspective when budget constraints are strictly enforced. New robust formulations are proven to be tractable. Moreover, computational experiments illustrate that a decision maker can find solutions that are close to optimal in terms of the corresponding objective values, and robust with respect to uncertain electricity prices.

Optimal-Cost Scheduling of Electrical Vehicle Charging Under Uncertainty

IEEE Transactions on Smart Grid, 2017

Electric vehicle (EV) charging stations are increasingly set up to meet the recharge demand of EVs, and the stations equipped with local renewable energy generation need to optimize their charging. A basic challenge for the optimization stems from inherent uncertainties such as intermittent renewable generation that is hard to predict accurately. In this paper, we consider a charging station for EVs that have deadline constraints for their requests, and aim to minimize its supply cost. We use Lyapunov optimization to minimize the time-average cost under unknown renewable supply, EV mobility, and grid electricity prices. We model the unfulfilled energy requests as a novel system of queues, based on whose evolution we define the Lyapunov drift and minimize it asymptotically. We prove that our algorithm achieves at most O(1 V) more than the optimal cost, where the parameter V trades off cost against unfulfilled requests by their deadlines, and its time complexity is linear in the number of EVs. Simulation results driven by real-world traces of wind power, EV mobility, and electricity prices show that, compared with a state-of-theart scheduling algorithm, our algorithm reduces the respective charging costs by 12.48% and 51.98% for two scenarios.

Day-ahead Resource Scheduling in Distribution Networks with Presence of Electric Vehicles and Distributed Generation Units

Electric Power Components and Systems, 2019

In this paper a new framework for scheduling of available resources in the distribution networks is developed. In this respect attempts are focused on interactions between charging/ discharging profiles of electric vehicles (EVs) and output power of distributed generation units. To reach this goal, the proposed framework is designed as a two-stage optimization procedure. In the first stage, the charging/discharging schedules of EVs are extracted running a linear programing optimization problem taking into account the EV users' constraints and requirements. The usage profiles of the DG units, strategy of buying electricity from the market and also the final charging/discharging patterns of the EVs are set running the second stage of this scheduling framework. The attained mixed-integer non-linear programing optimization problem is linearized and a procedure is organized to check the technical aspect of network. The results show that the proposed energy resource scheduling method satisfies financial and technical goals of network.

Scenario-Wise Distributionally Robust Optimization for Collaborative Intermittent Resources and Electric Vehicle Aggregator Bidding Strategy

IEEE Trans. Power Systems, 2020

The increasing penetrations of renewable energy in the electricity sector and plug-in electric vehicles (PEVs) in the transportation sector have increased the interests in introducing new methods to deal with uncertainties in power system studies. In this paper, a new distributionally robust optimization (DRO) via scenario wise ambiguity set is proposed to develop a collaborative bidding strategy for intermittent resources such as hydroelectric generation, wind farms, solar farms and electric vehicle aggregator in the day-ahead energy market. The proposed scenario wise ambiguity set is based on Wasserstein distance and is capable of considering both distributional information and statistical distance metric information in the ambiguity set. In this context, the robust counterpart of proposed DRO applying scenario based affine recourse approximation is developed in this paper. The proposed methodology is applied on a 3-bus test system as well as IEEE 118-bus test system to corroborate the effectiveness of the novel DRO model.

Optimal coordination of variable renewable resources and electric vehicles as distributed storage for energy sustainability

Sustainable Energy, Grids and Networks, 2016

This paper evaluates the coordination between electric vehicle (EV) fleets, as distributed storage devices, and variable renewable sources for mitigating energy imbalances and offering significant potentials for energy sustainability in an electricity infrastructure. The paper investigates the impact of such integrations for enhancing the environmental sustainability, social sustainability, and economic operation of electric power systems. The goal is to keep the energy sector on track for addressing the 2 degree Celsius (2DC) target per Copenhagen climate agreement 1. The paper identifies strategies for large-scale integration of variable generation resources without compromising the electricity infrastructure security. The power system uncertainties pertaining to hourly load and wind energy forecast errors, and random outages of generation and transmission components are taken into consideration in Monte Carlo scenarios. The stochastic optimization of dayahead hourly scheduling of electricity is formulated as a mixed integer linear programing problem. The merits of the proposed optimization model are demonstrated by applying four numerical case studies. The conclusion is that the applications of renewable energy resources and the intelligent assimilation of EV fleets (both as a provider and a consumer of energy) offer major potentials for alleviating power system peak demands, minimizing power grid operation costs and hourly wind energy curtailments, and limiting the environmental impacts of fossil fuelbased thermal generating units in the stochastic operation of an electricity infrastructure.

Electric vehicle routing with charging/discharging under time-variant electricity prices

Transportation Research Part C: Emerging Technologies

The integration of electric vehicles (EVs) with the energy grid has become an important area of research due to the increasing EV penetration in today's transportation systems. Under appropriate management of EV charging and discharging, the grid can currently satisfy the energy requirements of a considerable number of EVs. Furthermore, EVs can help enhance the reliability and stability of the energy grid through ancillary services such as energy storage. This paper proposes the EV routing problem with time windows under time-variant electricity prices (EVRPTW-TP) which optimizes the routing of an EV fleet that are delivering products to customers, jointly with the scheduling of the charging and discharging of the EVs from/to the grid. The proposed model is a multiperiod vehicle routing problem where EVs can stop at charging stations to either recharge their batteries or inject stored energy to the grid. Given the energy costs that vary based on time-of-use, the charging and discharging schedules of the EVs are optimized to benefit from the capability of storing energy by shifting energy demands from peak hours to off-peak hours when the energy price is lower. The vehicles can recover the energy costs and potentially realize profits by injecting energy back to the grid at high price periods. EVRPTW-TP is formulated as an optimization problem. A Lagrangian relaxation approach and a hybrid variable neighborhood search/tabu search heuristic are proposed to obtain high quality lower bounds and feasible solutions, respectively. Numerical experiments on instances from the literature are provided. The proposed heuristic is also evaluated on a case study of an EV fleet providing grocery delivery at the region of Kitchener-Waterloo in Ontario, Canada. Insights on the impacts of energy pricing, service time slots, range reduction in winter as well as fleet size are presented.

Moving horizon-based optimal scheduling of EV charging: A power system-cognizant approach

2020

The rapid escalation in plug-in electric vehicles (PEVs) and their uncoordinated charging patterns pose several challenges in distribution system operation. Some of the undesirable effects include overloading of transformers, rapid voltage fluctuations, and over/under voltages. While this compromises the consumer power quality, it also puts on extra stress on the local voltage control devices. These challenges demand for a well coordinated and power network-aware charging approach for PEVs in a community. This paper formulates a real-time electric vehicle charging scheduling problem as an mixed-integer linear program (MILP). The problem is to be solved by an aggregator, that provides charging service in a residential community. The proposed formulation maximizes the profit of the aggregator, enhancing the utilization of available infrastructure. With a prior knowledge of load demand and hourly electricity prices, the algorithm uses a moving time horizon optimization approach, allowi...

Demand Response program for electric vehicle service with physical aggregators

IEEE PES ISGT Europe 2013, 2013

This paper proposes a new cooperative scheduling framework for demand response aggregators (DRAs) and electric vehicle aggregators (EVAs) in a day-ahead market. The proposed model implements the information-gap decision theory (IGDT) to optimize the scheduling problem of the aggregators, which guarantees to obtain the predetermined profit by the aggregators. In the proposed model, the driving pattern of electric vehicle owners and the uncertainty of day-ahead prices are simulated via scenario-based and a bi-level IGDT based methods, respectively. The DR aggregator provides DR from two demand-side management programs including time-of-use (TOU) and reward-based DR. Then, the obtained DR is offered into day-ahead markets. Furthermore, the EVA not only meet the EV owners' demand economically, but also participates in the day-ahead mark while willing to set DR contracts with the DR aggregator. The objective function is to maximize the total profit of DR and EV aggregators perusing two different strategies to face with price uncertainty, i.e., riskseeker strategy and risk-averse strategy. The proposed plan is formulated in a risk-2 based approach and its validity is evaluated on a case study with realistic data of electricity markets.

Coordinating Flexible Demand Response and Renewable Uncertainties for Scheduling of Community Integrated Energy Systems with an Electric Vehicle Charging Station: A Bi-level Approach

IEEE TRANSACTIONS ON SUSTAINABLE ENERGY, 2021

A community integrated energy system (CIES) with an electric vehicle charging station (EVCS) provides a new way for tackling growing concerns of energy efficiency and environmental pollution, it is a critical task to coordinate flexible demand response and multiple renewable uncertainties. To this end, a novel bi-level optimal dispatching model for the CIES with an EVCS in multi-stakeholder scenarios is established in this paper. In this model, an integrated demand response program is designed to promote a balance between energy supply and demand while maintaining a user comprehensive satisfaction within an acceptable range. To further tap the potential of demand response through flexibly guiding users’ energy consumption and electric vehicles’ behaviors (charging, discharging and providing spinning reserves), a dynamic pricing mechanism combining time-of-use and real-time pricing is put forward. In the solution phase, by using sequence operation theory (SOT), the original chance-constrained programming (CCP) model is converted into a readily solvable mixed-integer linear programming (MILP) formulation and finally solved by CPLEX solver. The simulation results on a practical CIES located in North China demonstrate that the presented method manages to balance the interests between CIES and EVCS via the coordination of flexible demand response and uncertain renewables.