Yes, there is confirmed studies on effects of electromagnetic fields on nervous system developed by Dr. Prato, Thomas and Cook of Lawson Health Research Institute, Ontario, Canada. They discovered that exposure to extremely low frequency pulsed magnetic fields can induce analgesia in pain relief in humans, affect human electroencephalogram (Cook, Thomas and Prato 2002; Cook, Thomas and Prato, 2004), reduce depression in patients with bipolar depression suggests and also influence affective state (Rohan et al., 2004).
Robertson et al., (2010) demonstrated that the neuromodulation induced by exposure to low-intensity low-frequency magnetic fields can be observed in humans using functional brain imaging and that the detection mechanism for these effects may be different from those used by animals for orientation and navigation.
Cook CM, Thomas AW, Prato FS. Human electrophysiological and cognitive effects of exposure to ELF magnetic and ELF modulated RF and microwave fields: a review of recent studies.Bioelectromagnetics. 2002 Feb; 23(2):144-57.
Cook CM, Thomas AW, Prato FS. Resting EEG is affected by exposure to a pulsed ELF magnetic field.Bioelectromagnetics. 2004 Apr; 25(3):196-203.
Rohan M, Parow A, Stoll AL, Demopulos C, Friedman S, Dager S, Hennen J, Cohen BM, Renshaw PF. Low-field magnetic stimulation in bipolar depression using an MRI-based stimulator. Am J Psychiatry. 2004 Jan; 161(1):93-8.
John A. Robertson, Jean Théberge, Julie Weller, Dick J. Drost, Frank S. Prato, and Alex W. Thomas. Low-frequency pulsed electromagnetic field exposure can alter neuroprocessing in humans. J R Soc Interface. Mar 6, 2010; 7(44): 467–473.
Hi Rachid, I think you are looking for non-invasive brain stimulation techniques, right? Look for "Transcranial Magnetic stimulation" (TMS), "electroconvulsive therapy" (ECT) and "transcranial eletrci stimulation" (TES) for some examples of brain-electromagnetism interaction.
As for low frequency EMFs from powerlines, there's a nice, well-powered, study that shows that this is not a risk factor for Amyotrophic Lateral Sclerosis (Seelen et al, Neurology 2014).