TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Process: The catalytic dehydrogenation is catalytic dehydrogenation of 2-5C alkane, such as propane into an alkene corresponding as propene. The catalytic dehydrogenation is carried out at a temperature of 500-550 degrees C. The partial pressure of saturated hydrocarbons such as propane at the inlet of the catalytic bed is 0.1-2 bar, preferably 0.5-1.5 bar. The gas stream of outlet is treated to separate into a stream mainly comprising unsaturated hydrocarbons, optionally into a current mainly comprising the unreacted saturated hydrocarbons which is optionally recycled into the gas stream inlet, and into a stream comprising the light byproducts that is optionally supplying energy to the process. The outlet gas stream undergoes successive operations of condensation, compression, separation of the gas stream of one part into stream mainly comprising light by-products and on the other hand into a stream mainly comprising unsaturated hydrocarbons and optionally unreacted saturated hydrocarbons, and optionally fractional distillation of stream mainly comprising unsaturated hydrocarbons and unreacted saturated hydrocarbons to provide, a stream mainly comprising unsaturated hydrocarbons and a stream mainly comprising unreacted saturated hydrocarbons which is optionally recycled in the inlet gas stream. In the process, a part of the hydrogen extracted out of the cathode chamber is recycled in the inlet gas stream. The hydrogen extracted from the cathode chamber is converted into electricity, e.g. by using a fuel cell, and electricity is optionally used for supplying the process. The process according comprises after the step of synthesis, a regeneration step of the catalyst by oxidation and/or hydrogenation of the coke and/or precursors of coke deposited in the catalyst pores. The regenerating the inlet gas stream is free of unsaturated hydrocarbons and is constituted of at least one gas capable of decomposing the coke and/or coke precursors, such as hydrogen and/or water steam. The gas capable of decomposing the coke and/or precursors of coke is water stream, where the water stream is dissociated in the anode, by a catalyst, into hydrogen and oxygen, and the oxygen regenerates the catalyst of oxidative dehydrogenation of the coke and/or precursors of coke deposited in the pores of catalysts. The process comprises, during the regeneration step, imposing a potential difference opposite to that imposed during the synthesis step, where the hydrogen is introduced into the catalyst bed and hydrogen regenerates the catalyst for dehydrogenation by hydrogenating the coke precursors deposited in the catalyst pore. Preferred Components: The gas flow of inlet comprising unsaturated hydrocarbons further comprises a diluent gas, preferably hydrogen, water vapor, and/or methane, all compounds not reacting on the catalyst. The conductive dense membrane purely proton is a material having a conductivity of 10-3 to 10-2 sx cm at 500 degrees C, as metal oxide of formula (BaCe(1-x)MexO3-5), preferably (BaCe0.55Zr0.3Y0.15O3-5).Me = a doping metal such as Y, Zr or Cd.    TECHNOLOGY FOCUS - INSTRUMENTATION AND TESTING - Preferred Components: The catalyst bed comprises a conductive support such as a metal conducting support. The anode further contains a catalyst for dissociation of water stream into hydrogen and oxygen. The installation further comprises: means (326, 327) for recycling a portion of the hydrogen extracted from the cathode chamber in the inlet gas stream; and means such a fuel cell to convert into electricity a part or entire hydrogen pumped out from the cathode, and to feed the installation with that electricity. EXAMPLE - No suitable example given.