I. Introduction
The catenary system is a cable structure erected above the track to provide electrical current to the electrified train via a pantograph. The clearance requirement of the catenary depends on the encumbrance of the catenary. The encumbrance is defined as the vertical height between the contact wire and the messenger wire at support, as shown in Fig. 1. In tunnels, a smaller encumbrance is preferred, as it can result in a decreased tunnel Section and excavation volume, which reduces the construction costs. In coastal areas, the small encumbrance is also conducive to the wind load. However, the reduction of encumbrance may change the dynamic performance of the pantograph–catenary. The acceptance of the interaction performance requires to be re-checked when designing a catenary with smaller encumbrance.
Encumbrance of the catenary system.