Energy transmission system for contactless transmission of electrical energy (EE) by means of inductive coupling or by means of capacitive coupling from a transmitting device of the energy transmission system to a plurality of receiving modules of the energy transmission system ; wherein the receiving modules each comprise a field receiving element for receiving electrical energy (EE); wherein the transmitting device includes a plurality of transmitting modules and a control device ; wherein the transmitting modules each include a field generating element for generating an alternating energy field (WE) and an electrical energy source for applying in a wired manner an electrical alternating variable (WG) to the respective field generating element ; wherein, in an energy transmission mode, the control device is configured for driving the electrical energy sources in such a way that a plurality of the transmitting modules simultaneously each generate one of the alternating energy fields (WE), wherein, in the energy transmission mode, the electrical alternating variables (WG) are controlled as a function of a coupling matrix (KM), wherein the coupling matrix (KM) for a plurality of or for all of the field generating elements includes coupling factors (KF) to several of or to all of the field receiving elements ; characterized in that at least one of the receiving modules comprises an adjustable compensation element connected in parallel or in series with the field receiving element , wherein the respective receiving module is configured for adjusting the respective compensation element as a function of a cross-coupling matrix (KKM), wherein the cross-coupling matrix (KKM) for several of or for all of the field receiving elements includes cross-coupling factors (KKF) to several of or to all of the other field receiving elements . wherein the receiving modules each comprise a field receiving element for receiving electrical energy (EE); wherein the transmitting device includes a plurality of transmitting modules and a control device ; wherein the transmitting modules each include a field generating element for generating an alternating energy field (WE) and an electrical energy source for applying in a wired manner an electrical alternating variable (WG) to the respective field generating element ; wherein, in an energy transmission mode, the control device is configured for driving the electrical energy sources in such a way that a plurality of the transmitting modules simultaneously each generate one of the alternating energy fields (WE), wherein, in the energy transmission mode, the electrical alternating variables (WG) are controlled as a function of a coupling matrix (KM), wherein the coupling matrix (KM) for a plurality of or for all of the field generating elements includes coupling factors (KF) to several of or to all of the field receiving elements ; characterized in that at least one of the receiving modules comprises an adjustable compensation element connected in parallel or in series with the field receiving element , wherein the respective receiving module is configured for adjusting the respective compensation element as a function of a cross-coupling matrix (KKM), wherein the cross-coupling matrix (KKM) for several of or for all of the field receiving elements includes cross-coupling factors (KKF) to several of or to all of the other field receiving elements . <EOS>