Multidirectional electrical connectors, electrical connector plugs and electrical connection systems for electrically connecting a portable energy storage device to an electrically powered device, such as an electric powered vehicle or a device for electrically charging the portable electrical energy storage device are described. The multidirectional feature of the electrical connectors, electrical connector plugs and electrical connections systems permits electrical connection between the electrical connectors and electrical connector plugs in a plurality of rotational orientations between a portable electrical energy storage device to which a connector or plug is electrically connected and an electrically powered device to which a corresponding plug or connector is electrically connected.