## Abbreviations
\begin{tabular}{l l l l} \(T_{a}\) & Actual temperature (\({}^{\circ}\)C) & \(C_{k}\) & Initial investment cost of type k device \\ \(T_{stc}\) & Temperature under standard conditions (\({}^{\circ}\)C) & \(R_{k}\) & Investment recovery coefficient of type k device \\ \(k_{power}\) & Power temperature coefficient & \(C_{consume}\) & Annual energy consumption \\ \(N_{k}\) & Lifetime of type k device (years) & V & Variable \\ \(P_{\rm{SC}}\) & Installed capacity of SC (kW) & s & Number of typical days \\ \(H_{\rm{SC}}\) & Thermal power generated by SC (kW) & S & Total number of typical days \\ \(f_{\rm{SC}}\) & Output coefficient of SC & \(T_{s}\) & Number of days of type s typical days \\ \(P_{WINDP}\) & Installed capacity of WINDP (kW) & \(V_{ICE}(t)\) & Natural gas consumption of ICE at time t (m\({}^{3}\)) \\ \(E_{WINDP}\) & Electrical power generated by WINDP (kW) & \(V_{GB}(t)\) & Natural gas consumption of GB at time t (m\({}^{3}\)) \\ \(f_{WINDP}\) & Output coefficient of WINDP & \(E_{GRID}(t)\) & Grid electrical power imported to load at time t (kWh) \\ \(v\) & Live wind speed (m/s) & \(C_{gas}(t)\) & Price of natural gas at time t (10\({}^{4}\) CNY/m\({}^{3}\)) \\ \(v_{ci}\) & Cut-in wind speed (m/s) & \(C_{power}(t)\) & Power purchase price at time t (10\({}^{4}\) CNY/kWh) \\ \(v_{\alpha}\) & Cut-out wind speed (m/s) & \(C_{operation}\) & Annual device maintenance cost (10\({}^{4}\) CNY) \\ \(v_{r}\) & Rated wind speed (m/s) & \(V_{BIOG}(t)\) & biogas consumption of BIOG at time t (m\({}^{3}\)) \\ \(P_{BIOG}\) & Installed capacity of BIOG (kW) & \(\lambda_{gas}\) & CO\({}_{2}\) emission coefficient of natural gas (kg/m\({}^{3}\)) \\ \(E_{BIOG}\) & Electrical power generated by BIOG (kW) & \(\lambda_{bio}\) & CO\({}_{2}\) emission coefficient of biogas (kg/m\({}^{3}\)) \\ \(H_{\sigma,BIOG}\) & Electrical power generation efficiency of BIOG & \(\lambda_{power}\) & CO\({}_{2}\) emission coefficient of electricity (kg/kWh) \\ \(H_{BIOG}\) & Heating power generated by BIOG (kW) & \(\beta_{gas}\) & Standard coal conversion factor of gas (kg/m\({}^{3}\)) \\ \(\eta_{\mu,BIOG}\) & Heat generation efficiency of BIOG (\%) & \(\beta_{BIOG}\) & Standard coal conversion factor of biogas (kg/m\({}^{3}\)) \\ \(P_{ICE}\) & Installed capacity of ICE (kW) & \(\beta_{power}\) & (kg/kWh) \\ \(E_{ICE}(t)\) & Electrical power generated by ICE at time t & \(\beta_{CET}\) & Control Variables in CET \\ (kW) & Waste heating power generated by ICE at time t (kW) & \(\beta_{GC}\) & Control Variables in GC \\ \(V_{ICE}\) & Natural gas consumption of ICE (m\({}^{3}\)) & \(E_{D}(t)\) & Electrical power demand at time t (kW) \\ \(\Delta t\) & Time unit (h) & \(H_{D}(t)\) & Heating power demand at time t (kW) \\ \(\eta_{e,ICE}\) & Electric conversion efficiency of ICE (\%) & \(C_{D}(t)\) & Cooling power demand at time t (kW) \\ \(L_{gas}\) & Calorific value of natural gas (MJ/m\({}^{3}\)) & \(C_{k}^{min}\) & Minimum installed capacity of device k (kW) \\ \(\eta_{H,ICE}\) & Heat conversion efficiency of ICE (\%) & \(C_{k}^{max}\) & Maximum installed capacity of device k (kW) \\ \(H_{GB}\) & Heating power generated by GB (kW) & \(P_{BH}^{min}\) & Minimum output power of device k (kW) \\ \(\eta_{GB}\) & GB efficiency (\%) & \(P_{k}^{max}\) & Maximum output power of device k (kW) \\ \(V_{GB}\) & Natural gas consumption of GB (m\({}^{3}\)) & \(x_{i}\) & Children individuals in the population \\ \(H_{EB}\) & Heating power generated by EB (kW) & \(p_{i}\) & Parent individuals \\ \(\eta_{EB}\) & EB efficiency (\%) & _iters_ & Maximum iteration number of the population \\ \(P_{EB}\) & Installed capacity of EB (kW) & \(punish_{carbon}\) & Carbon penalty unit price \\ \(H_{WHR}\) & Heating power generated by WHR (kW) & \(punish_{gre}\) & Penalty unit price for renewable energy quota \\ \(\eta_{WHR}\) & WHR efficiency (\%) & \(GRE_{lack}\) & Insufficient renewable energy quota \\ \(H_{in,WHR}\) & Thermal power fed to WHR (kW) & \(CDE_{excess}\) & CRIES exceeds local carbon emission limits \\ \(\alpha\) & SBX operator & \(C_{trade}\) & Carbon-trading costs \\ \(\beta\) & Normal distribution & \(C_{gre}\) & Green-certificate-trading costs \\ \(\mu\) & Stand uniform distribution & \(\beta_{renewable}\) & Proportion of renewable energy generation \\ \(\lambda\) & Proportion of \(C_{operation}\) to \(C_{invest}\) & \(C_{limit}\) & Carbon emission constraints \\ \(r\) & Discount rate (\%) & \(C_{predict}\) & Predicted carbon emission constraints \\ Equipment Mathematical Model & & & \\ \(E_{PV}=f_{PV}P_{PV}\) & & & \\ PV & \(f_{PV}=\frac{G_{c}}{G_{sc}}(1+k_{power}(T_{a}+30\times\frac{G}{1000}-T_{stc}))\) & & \\ \(G_{stc}=1000\) W/m\({}^{2}\), \(T_{stc}=25\)\({}^{\circ}\)C, \(k_{power}=-0.0047\) & & \\ \(H_{SC}=f_{SC}P_{SC}\) & & & \\ \(f_{SC}=\frac{G_{c}}{G_{sc}}(1+k_{power}(T_{a}-T_{stc}))\) & & & \\ \end{tabular}