I think you might be wrong but my thermal is very rusty. Where you are wrong is that you might be forgetting the over 100% efficiency in heat transfer when usin

I think you might be wrong but my thermal is very rusty. Where you are wrong is that you might be forgetting the over 100% efficiency in heat transfer when using a heat pump. http://energystorage.org/energy-storage/technologies/pumped-heat-electrical-storage-phes http://energystorage.org/energy-storage/technologies/pumped-... https://www.economist.com/news/technology-quarterly/21603184-reversible-heat-pump-promises-cheap-way-store-renewable-energy https://www.economist.com/news/technology-quarterly/21603184... http://wordpress.ei.columbia.edu/lenfest/files/2012/11/Abstract-Nearly-Reversible-Heat-Engines-for-Thermal-Storage-of-Excess-Electric-Power.pdf http://wordpress.ei.columbia.edu/lenfest/files/2012/11/Abstr...