This invention describes a new digital cryptocurrency—named Eleutheria throughout this patent—that can be used within a virtual electricity trading platform to virtually transact real and digital currencies, smart contracts, financial derivatives, and electricity based on Distributed Electricity Generation (“DG”) plants using Distributed Energy Resources (“DERs”) and Energy Storage Systems (“ESS”) by utilizing new technologies including Internet of Things (IoT). Information and Communication Technology (ICT), Artificial Intelligence (AI), and Smart Grid. Eleutheria is composed of four basic and two derivative cryptocurrencies: (i) ψ1(k,t)-Cryptocurrency to transact “Currency Exchange” in a designated country and time; (ii) ψ2(k,t)-Cryptocurrency to transact “Smart Contracts” in a designated country and time; (iii) ψ3(k,t)-Cryptocurrency to transact “Financial Derivatives” in a designated country and time ; (iv) ψ4(k,t)-Cryptocurrency to transact “Electricity” in a designated country and time; (v) ψown(k,t)-Cryptocurrency to transact “Ownership of DG plants” in a designated country and time; (vi) ψeleutheria(k,t)-Cryptocurrency, Eleutheria represents a portfolio of cryptocurrencies, ψi and is expressed as ψeleutheria(k,t)=ψ0+Σβi(k,t)×χi(k,t)×ψi(k,t), where i=1, 2, 3, 4, and own (ownership). Then a risk premium fi(R:k,t) based on a risk assessment matrix of Eleutheria is incorporated to express a cryptocurrency as ψ1(k,t)=ψ0[1+fi(R:k,t)].