Cost-optimal power system extension under flow-based market coupling

Abstract

Standard-Nutzungsbedingungen:Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden.Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen.Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte. Abstract Electricity market models, implemented as dynamic programming problems, have been applied widely to identify possible pathways towards a cost-optimal and low carbon electricity system. However, the joint optimization of generation and transmission remains challenging, mainly due to the fact that different characteristics and rules apply to commercial and physical exchanges of electricity in meshed networks. This paper presents a methodology that allows to optimize power generation and transmission infrastructures jointly through an iterative approach based on power transfer distribution factors (PTDFs). As PTDFs are linear representations of the physical load flow equations, they can be implemented in a linear programming environment suitable for large scale problems. The algorithm iteratively updates PTDFs when grid infrastructures are modified due to cost-optimal extension and thus yields an optimal solution with a consistent representation of physical load flows. The method is first demonstrated on a simplified three-node model where it is found to be robust and convergent. It is then applied to the European power system in order to find its cost-optimal development under the prescription of strongly decreasing CO 2 emissions until 2050. Terms of use: Documents in

More homogeneous wind conditions under strong climate change decrease the potential for inter-state balancing of electricity in Europe

“…A variety of studies have analyzed transmission and backup energy in future renewable power systems and costoptimal transition pathways in a similar way (Rodriguez et al, 2015a(Rodriguez et al, , 2015bBecker et al, 2014;Rasmussen et al, 2012;Schlachtberger et al, 2016;Hagspiel et al, 2014). However, the potentially crucial role of changes in climatic conditions have not yet been assessed in this context.…”

The Relevance of Grid Expansion under Zonal Markets

“…22 However, these results also indicate that DC lines are prioritized when the grid restrictions are enforced. The share of DC in the total network expansion decreases monotonically as the grid restrictions are relaxed 21 In the optimal grid scenario considered by Hagspiel et al (2014), the grid for the entire ENTSO-E area was extended by 48 % between 2011 and 2030.…”

“…To deal with the non-linear dependence of the PTDFs on the grid impedances, the models are solved iteratively by updating PTDF matrices until convergence is achieved as proposed in Hagspiel et al (2014). The iterative solution algorithm is based on two stages that are solved sequentially.…”

Sequential Coordination of Transmission Expansion Planning With Strategic Generation Investments

“…However, the elements of matrix H depend nonlinearly on line reactances [44]. This means when line capacity changes, the reactance of the line changes, and a new matrix H should be calculated [45]. Thus, the optimization problems formulated in Sections II and III have to be solved iteratively with the updated H until the stopping criterion is met.…”

“…For updating matrix H when line capacities change, the law of parallel circuits is used [42], [45]. We have:…”