A rolling-horizon approach for multi-period optimization

Moreover, the implementation of renewable energy represents a big opportunity in terms of sustainability. However, the use of natural sources has the disadvantage of intermittent and unpredictable energy generation, and currently, forecast techniques are far from reliable. Thus, one of the main weaknesses of the exploitation of renewable sources is the mismatch of the unpredictability of energy generation from renewable sources and demand. Therefore, the coordinated management of generation and demand is indispensable for the appropriate decision making in the management of microgrids.

  1. However, this approach results in problems of unrealistic size, which is often computationally intractable.
  2. Solving realistic sized TAP instances within a reasonable amount of time is a challenging task in itself.
  3. Other research interests include the marketing of balancing power, the design of business models and applied game theory.

For those scheduling problems, a rolling-horizon based decomposition scheme is used and usually two sub-problems are solved. At the upper-level, a variant of the model is used to find the optimal number of products, and the length of the time horizon to be considered for solving the short-term scheduling problem at the lower level. At the lower level, short-term scheduling of continuous processes, using unit-specific event-based continuous-time representation are applied (Lin et al., 2002, Janak et al., 2006, Wu and Ierapetritou, 2003, Shaik et al., 2009). Regarding the generation management of energy and heat within a microgrid, Carrión and Arroyo (2006) developed a Mixed-Integer Linear Programming (MILP) formulation to minimise the operational cost of a microgrid considering the power requirements to be satisfied.

Rolling horizon framework

More recently, Silvente and Papageorgiou (2017) presented an MILP formulation to manage the generation, storage and demand of energy and heat within a microgrid. This paper studied the impact of the delays in the starting time of tasks as well as the impact of eventual interruptions in the tasks. To date, the majority of natural gas and electric power market models assume that perfect foresight of the time horizon being considered which is less than realistic since market planners do not have perfect information for the entire time horizon.

Production scheduling of a large-scale industrial continuous plant: short-term and medium-term scheduling

In this paper, we propose a simple and complete method to describe the end-user flexibility potential. The proposed method describes flexibilities of the end-user technologies as a combination of inflexible loads and virtual batteries with variable capacities. This technique allows to describe the flexible components (such as heat pumps and boilers) with the exclusive use of linear relationships which can be implemented in mixed integer optimization problems. Furthermore, a rolling horizon optimization framework is used to define the operating strategy of the end-user components and the trades at the Day-Ahead and the Intraday spot markets. Moreover, we apply our proposed methods to a real-life use case in Austria with measured data to prove their effectiveness, validity and reliability.

The results of the experiments provide general guidelines on how to set up the rolling horizon optimizer for a DRT system. With a suitable setup, the rolling horizon approach demonstrates a clear advantage over the other approaches available in the simulation framework. The scheduling problem includes electricity and heat generation, purchases, sales, storage and schedule of tasks of a microgrid to be optimised. Conventional power grids are based on centralised networks where power plants (i.e., nuclear or hydroelectric power stations) generate energy that is used at industrial and domestic levels. However, these kinds of grids have some disadvantages, including the energy losses in power transmission, the difficulty of supply to keep up with growing energy demand and the concern over environmental damage. One of the main causes that contribute to the negative environmental impact in centralised networks is the generation of energy using fuel-based sources.

Production capacity model derivation through parametric programming

Integrating these constraints, it is possible to derive solution quality guarantees. On the practical side, we demonstrate the ability of the algorithm to solve large optimization problems by applying it to realistic instances of the tail-assignment problem. Computational results show that rolling-horizon outperforms fleet/tail assignment decomposition by far. We show that our algorithm is applicable to other optimization problems by solving an easy lot-sizing example. The appropriate design and scheduling of microgrids are essential to ensure the optimal management of the network. The design of a microgrid considers the location and capacity of the elements to install (e.g., generators, storage systems) and their technical characteristics (Pruitt et al., 2013).

This model will allow updating input information to react to any alteration from the nominal scenario, as well as to consider all scenarios that can take place. In this paper, we develop a theoretical framework for the common business practice of rolling horizon decision making. The main idea of our approach is that the usefulness of rolling horizon methods is, to a great extent, implied by the fact that forecasting the future is a costly activity. We, therefore, consider a general, discrete-time, stochastic dynamic optimization problem in which the decision maker has the possibility to obtain information on the uncertain future at given cost.

Modeling risk management in oligopolistic electricity marketsa benders decomposition approach

Even when no endogenous learning is included, such a straightforward comparison between an online strategy (relating to each roll in the current context), and the perfect-foresight equilibrium is not so obvious. This is because in the case of MCPs, there is no one objective function for all the equilibrium conditions. Georg Lettner (M’78) joined the Energy Economics Group at the Technical University of Vienna in 2009. He is group https://business-accounting.net/ leader for business development in smart grids, smart cities and e-mobility. He is a key senior expert in grid and market integration of distributed generation and renewable generation technologies and smart-grids concepts. His research interests are focused on tailor-made simulation software development in this context, with special consideration of the economic interactions between the different stakeholders (business models).

A novel method is then proposed to derive the production capacity information representing the detail scheduling model based on parametric programming technique. A heuristic process network decomposition strategy is further applied to reduce the computational effort needed for larger and more complex process networks. Several case studies have been studied, which illustrate the efficiency of the proposed methodology in improving the solution quality of rolling horizon method for integrated planning and scheduling optimization. For example, logistics, process optimization and production planning tasks must often be optimized for a range of time periods. Usually, these problems incorporating time structure are very large and cannot be solved to global optimality by modern solvers within a reasonable period of time. This approach aims to solve the problem periodically, including additional information from proximately following periods.

Our method is based on a baseline plan generation, and after that, an adaptive rescheduling scheme is generated under new conditions. A bi-objective rescheduling problem seeking to maximize production and minimize plan variability is formulated. Computational experiments are conducted to study our methodology’s impact in several rescheduling periods. This proposal offers the community a framework for reactively managing complex harvest operations. Though for some problem settings quite similar, the two approaches are not the same. A relax-and-fix approach typically takes into account more information than a rolling-horizon algorithm such as constraints and continuous as well as relaxed integer variables after the considered forward horizon.

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It’s as real as a rainbow in that you can see it, but no curious sojourner can ever arrive there; as you approach the horizon, it always recedes out of reach. We are very grateful to two anonymous referees for their constructive comments on our paper. This research was conducted within the framework of the research project OPs-TIMAL, financed by the German Federal Ministry of Economic Affairs and Energy (BMWi).

One challenge of these formulations is the fact that the consideration of these restrictions may involve non-linear constraints. The objective of unit commitment problems in the area of energy operations is to manage a set of generators in order to fulfil a pre-established demand. This is an extremely challenging optimisation problem due to the enormous number of possible combinations of the status (on/off) of the generators within a considered network (Bhardwaj et al., 2012). This kind of formulations is applied to electricity and heat generation (Marcovecchio et al., 2014).

Tight formulations can lead to high-quality solutions, but loose formulations can lead to arbitrarily bad integral variable assignments in each step. Solutions obtained by the rolling-horizon approach depend on the decomposition in sub problems, but not on the formulation, provided that the same linking variables appear in the formulations. Hence, a loose formulation may indeed lead to inferior runtime for the rolling-horizon approach, but does not lead to worse solutions. Hence, which approach to apply depends on the application, and some are solved more effectively by relax-and-fix, some others by rolling-horizon.