NOVELTY - The arrangement has two rechargeable electrochemical energy storage units (E1, E2) connected to one another to exchange energy with one another and with an external energy source (ES) or an external energy drain (ED) via energy currents (S1, S2, S12). A control device (SE) controls the currents in or out of the two storage units to prevent or reduce damage or overloading of one of the storage units while accepting damage or overloading of the other storage unit, where functions of the two storage units are respectively based on lithium ion and lead acid electrochemistry.    USE - Electrochemical energy storage arrangement such as lithium ion-based electrochemical energy storage arrangement e.g. lithium ion battery arrangement, lithium polymer battery arrangement, lithium cobalt dioxide battery arrangement, lithium titanate battery arrangement, lithium air battery arrangement, lithium manganese battery arrangement, lithium iron phosphate battery arrangement and tin sulfur lithium ion battery arrangement, for use in a vehicle e.g. pedelec, electric car and hybrid car, and an electronic device e.g. mobile telephone, digital camera, camcorder, notebook, handheld console and torch. Can also be used for an arrangement for a nickel oxyhydroxide battery, a mercury zinc battery, a silver oxide zinc battery, a zinc manganese dioxide cell, a zinc chloride battery, a zinc air battery, a lead battery, a sodium sulfur battery, a nickel cadmium battery, a nickel iron battery, a nickel lithium battery, a nickel metal hydride battery, a nickel hydrogen battery, a nickel zinc battery, a silver zinc battery, a vanadium redox battery, a zinc bromine battery, a zinc air battery, a zebra battery and a cellulose polypyrrole cell.    ADVANTAGE - The control device controls the currents in or out of the two energy storage units to prevent or reduce the damage or overloading of one of the energy storage units while accepting damage or overloading of the other energy storage unit, thus reducing charging time of the energy storage units while increasing capacity and service life of the arrangement.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are also included for the following:    (1) a method for controlling energy currents in or out of two energy storage units of an arrangement of electrochemical energy storage units    (2) a device for controlling energy currents in or out of two energy storage units of an arrangement of electrochemical energy storage units.    DESCRIPTION OF DRAWING(S) - The drawing shows a block diagram of an electrochemical energy storage arrangement.    External energy drain (ED)    External energy source (ES)    Rechargeable electrochemical energy storage units (E1, E2)    Energy currents (S1, S2, S12)    Control device (SE)