A method recognizes topology in low-voltage networks including local substations each having a plurality of output lines connected to a controllable electrical resource, and a control apparatus of each local substation. The method uses a computer arrangement assigning resources to the control apparatuses based on geographical proximity, selecting an assigned resource, transmitting a test control command specific to the selected resource from the control apparatus to the assigned resources, the test control command configured to trigger a change in power consumption or power output of the selected resource, measuring a change in an electrical variable on the output lines of the local substation by using a measuring apparatus, and assigning the selected electrical resource to that output line of that local substation on which a correlation between test control command and change is recognized. An arrangement for recognizing a topology in a low-voltage network is also provided.