With increasing electricity demand and large-scale stochastic charging of electric vehicles (EVs)

distribution networks face inevitable shortage of transfer capability

bringing new challenges to distribution network planning (DNP). Dynamic thermal rating (DTR)

which evaluates the equipment rating based on actual meteorological conditions and equipment thermal state

can enhance the equipment transfer capability to meet the increasing load demand. In this paper

we propose a model considering the active response of EVs

and a bi-level DNP model incorporating the DTR of cables and transformers

in the upper level

the Prim algorithm is embedded into the particle swarm optimisation (PSO) algorithm to obtain an initial grid topology; in the lower level

types of cables and transformers as well as the installation of DTR equipment are determined

second-order cone (SOC) relaxation and linearisation of the variables product are then carried out to meet the non-linear constraints of cables and transformers

and the upper and lower models are solved in an iterative manner. Case studies demonstrate that the implementation of DTR effectively enhances the transfer capability of cables and transformers

saving 4.8% investment cost while ensuring 96% uplift of power supply. Besides

with 90% active response rate of EVs

total cost can be further reduced.