A method of retorting oil shale is provided, comprising: continuously feeding oil shale into a retorting unit; heating the retorting unit using renewable electrical energy; converting the oil-shale kerogen into kerogen oil; conveying a cross-flow sweep gas across a moving bed of the oil shale, to carry the kerogen oil out of the retorting unit; recovering the kerogen oil; and recovering spent oil shale. The combination of electrical heating and cross-flow retorting achieves uniform heating to optimize the production of hydrocarbons. A system for retorting oil shale is also provided, comprising: a retorting unit; an inlet for continuously feeding oil shale; electrical-energy elements within the retorting unit; an inlet for conveying a cross-flow sweep gas through the retorting unit; and an outlet for the cross-flow sweep gas carrying the kerogen oil. The principles of the invention may be applied to ex situ systems, in situ systems, or hybrid systems.