Stochastic optimization of a stationary energy storage system for a catenary-free tramline
Journal article, 2020

To realize economical operation of a catenary-free tramline, we propose installing a stationary energy storage system (SESS) to assist the electric grid for trams charging. As the tram operation may not be fully aligned with a predetermined timetable, an economical coordination of the electric grid and the SESS under uncertain charging demands is investigated. To this end, a chance-constrained program is formulated where demanded charging of the tramline is satisfied in a probabilistic sense. The introduced chance-constrained program is translated into a robust and deterministic mixed-integer second-order cone program (MISOCP) by first saturating charging power to a stochastic upper limit and then prolonging charging periods until entire energy is delivered for all charging scenarios that are being investigated. A case study for the Haizhu line in Guangzhou, China, shows that a cost–benefit of 13.70% can be obtained by installing an SESS when charging power is fully delivered for all scenarios, while a 28.47% cost-saving can be achieved when charging power is delivered 99% of the time.

Catenary-free tramline

Mixed-integer second-order cone program

Optimal sizing

Chance-constrained program

Stationary energy storage system


Shaoyuan Wei

Beijing Jiaotong University

Nikolce Murgovski

Chalmers, Electrical Engineering, Systems and control, Mechatronics

Jiuchun Jiang

Sunwoda Electronic Co.

Xiaosong Hu

Chongqing University

Weige Zhang

Beijing Jiaotong University

Caiping Zhang

Beijing Jiaotong University

Applied Energy

0306-2619 (ISSN)

Vol. 280 115711

Driving Forces

Sustainable development

Areas of Advance


Subject Categories

Energy Systems

Marine Engineering

Other Electrical Engineering, Electronic Engineering, Information Engineering



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