## Abbreviations  
\begin{tabular}{l l l l} \(\text{C}_{NET}(t)\) & Cost of power exchange & \(Cons_{T}(t)\) & Fuel consumption of micro-turbine \\ \(P_{NET}(t)\) & Exchanged power & \(K_{Tb,T}\) & Constant that relates \(P_{T}\) and \(P_{TT}\) \\ \(Price_{NET}(t)\) & Price of power exchange & \(\alpha_{B}\) & Boiler efficiency \\ \(P_{T}(t)\) & Electrical power of micro-turbine & \(Cons_{B}(t)\) & Fuel consumption of boiler \\ \(P_{WPP}(t)\) & Electrical power of waste power plant & \(Price_{gas}\) & Price of natural gas \\ \(P_{WT}(t)\) & Electrical power of wind turbine & \(u_{T}(t)\) & Status of micro-turbine (0 or 1) \\ \(P_{INV,AC}(t)\) & Electrical AC power of inverter & \(Price_{OM,T}\) & Price of micro-turbine O\&M \\ \(P_{REC,AC}(t)\) & Electrical AC power of rectifier & \(S_{T}\) & Start/stop rate of micro-turbine \\ \(P_{ED}(t)\) & Electrical power demand & \(ER_{T}\) & Emission rate of micro-turbine \\ \(P_{TT}(t)\) & Thermal power of micro-turbine & \(ER_{B}\) & Emission rate of boiler \\ \(P_{TC}(t)\) & Thermal power of fuel cell & \(\alpha_{TC}\) & Fuel cell efficiency \\ \(P_{B}(t)\) & Thermal power of boiler & \(\alpha_{ref}\) & Reformer efficiency \\ \(P_{TS}(t)\) & Charging/discharging of thermal storage & \(HHV_{methane}\) & Higher heating value of methane \\ \(P_{TD}(t)\) & Thermal power demand & \(Cons_{FC}(t)\) & Fuel consumption of fuel cell \\ \(E_{T}(t)\) & Emissions of micro-turbine & \(K_{Tb,FC}\) & Constant that relates \(P_{FC}\) and \(P_{TTC}\) \\ \(E_{FC}(t)\) & Emissions of fuel cell & \(V_{ES}(t)\) & Quantity of electrical storage \\ \(E_{WPP}(t)\) & Emissions of waste power plant & \(V_{ES,Ch}(t)\) & Charging energy of electrical storage \\ \(E_{B}(t)\) & Emissions of boiler & \(V_{ES,chk}(t)\) & Discharging energy of electrical storage \\ \(C_{f,T}(t)\) & Fuel cost of micro-turbine & \(i(t),f(t),c(t)\) & Data vector of cell block, forget, and input \\  & & & gates at time \(t\) \\ \(C_{OM,T}(t)\) & O\&M cost of micro-turbine & \(bi,bf,bc,bo\) & Bias vector for cell block, forget, input, and output gates \\ \(C_{S,T}(t)\) & Start/stop cost of micro-turbine & \(o(t)\) & Data vector of output gate at time \(t\) \\ \(C_{f,\ FC}(t)\) & Fuel cost of fuel cell & \(s(t)\) & State vector of current layer at state \(t\) \\ \(C_{OM,FC}(t)\) & O\&M cost of fuel cell & \(s(t)^{l}\) & State vector of layer \(l\) at state \(t\) \\ \(C_{S,FC}(t)\) & Start/stop cost of fuel cell & \(Whi,Wh\varphi,Wh\gamma,Wh\) & Weight vector for output of previous state \\  & & & input gate, forget gate, cell block, and output gate \\ \(C_{f,WPP}(t)\) & Fuel cost of waste power plant & \(Wi,Wi\varphi,Wi\gamma,Wi\) & Weight vector for input of current state input \\ \(C_{OM,WPP}(t)\) & O\&M cost of waste power plant & \(\Delta t\) & Period of time \\ \(C_{S,WPP}(t)\) & Start/Stop cost of waste power plant & \(u_{b}(t)\) & Status of boiler (0 or 1) \\ \(C_{OM,WT}(t)\) & O\&M cost of wind turbine & \(V_{ tank}(t)\) & Amount of stored hydrogen \\ \(C_{OM,TS}(t)\) & O\&M cost of thermal storage & \(E_{H_{2}}(t)\) & Charging/discharging output of the HT \\ \(C_{OM,HT}(t)\) & O\&M cost of hydrogen tank & \(P_{INV,DC}(t)\) & Electrical DC power of inverter \\ \(C_{OM,ES}(t)\) & O\&M cost of electrical storage & \(P_{REC,DC}(t)\) & Electrical DC power of rectifier \\ \(a_{T}\) & Micro-turbine efficiency & \(\alpha_{INV}\) & Inverter efficiency \\ \(HHV_{gas}\) & Higher heating value of gas & \(\alpha_{REC}\) & Rectifier efficiency \\ \end{tabular}