Abstract
P u r p o s e s. When designing a system of urban electric transport that charges while driving, including autonomous trolleybuses with batteries of increased capacity, it is important to optimize the charging infrastructure for a fleet of such vehicles. The charging infrastructure of the dedicated routes consists of overhead wire sections along the routes and stationary charging stations of a given type at the terminal stops of the routes. It is designed to ensure the movement of trolleybuses and restore the charge of their batteries, consumed in the sections of autonomous running.The aim of the study is to create models and methods for developing cost-effective solutions for charging infrastructure, ensuring the functioning of the autonomous trolleybus fleet, respecting a number of specific conditions. Conditions include ensuring a specified range of autonomous trolleybus running at a given rate of energy consumption on routes, a guaranteed service life of their batteries, as well as preventing the discharge of batteries below a critical level under various operating modes during their service life.M e t ho d s. Methods of set theory, graph theory and linear approximation are used.Re s u l t s. A mathematical model has been developed for the optimization problem of the charging infrastructure of the autonomous trolleybus fleet. The total reduced annual costs for the charging infrastructure are selected as the objective function. The model is formulated as a mathematical programming problem with a quadratic objective function and linear constraints.Co n c l u s i o n. To solve the formulated problem of mathematical programming, standard solvers such as IBM ILOG CPLEX can be used, as well as, taking into account its computational complexity, the heuristic method of "swarm of particles". The solution to the problem is to select the configuration of the location of the overhead wire sections on the routes and the durations of charging the trolleybuses at the terminal stops, which determine the corresponding number of stationary charging stations at these stops.
Highlights
The charging infrastructure of the dedicated routes consists of overhead wire sections along the routes and stationary charging stations of a given type at the terminal stops of the routes
Conditions include ensuring a specified range of autonomous trolleybus running at a given rate of energy consumption on routes, a guaranteed service life of their batteries, as well as preventing the discharge of batteries below a critical level under various operating modes during their service life
The total reduced annual costs for the charging infrastructure are selected as the objective function
Summary
Подход к оптимизации зарядной инфраструктуры автономных троллейбусов для городских маршрутов. При проектировании системы городского электротранспорта, заряжающегося во время движения, в том числе автономных троллейбусов с батареями увеличенной емкости, актуальной является оптимизация зарядной инфраструктуры для парка такого транспорта. Цель исследования заключается в создании моделей и методов выработки экономически эффективных решений по зарядной инфраструктуре, обеспечивающих функционирование парка автономных троллейбусов с учетом ряда специфических условий. Разработана математическая модель задачи оптимизации зарядной инфраструктуры парка автономных троллейбусов. Для решения сформулированной задачи математического программирования могут использоваться стандартные решатели типа IBM ILOG CPLEX, а также, с учетом ее вычислительной сложности, эвристический метод «роя частиц». Решение задачи заключается в выборе конфигурации расположения секций контактной сети на маршрутах и длительностей зарядки троллейбусов на конечных остановках, определяющих соответствующие количества стационарных зарядных станций на этих остановках. Я. Подход к оптимизации зарядной инфраструктуры автономных троллейбусов для городских маршрутов / М. Approach to optimizing charging infrastructure of autonomous trolleybuses for urban routes
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