// Example 25_4 clc;funcprot(0); //Given data W_t=100*10^3;// kW W_g=(60/100)*W_t;// kW T_1=300;// K p_1=1;// bar T_3=1000+273;// K p_r=8;// Pressure ratio n_c=0.85;// Isentropic efficiency of compressor n_t=0.90;// Isentropic efficiency of both turbines n_com=0.95;// Combustion efficiency Gc=2500;// Rs./ton T_7=600+273;// K T_6=200+273;// K p_9=0.05;// bar C_pa=1;// kJ/kg.K C_pg=1.1;// kJ/kg.K r_a=1.4;// Specific heat ratio for air r_g=1.33;// Specific heat ratio for gases CV=40*10^3;// kJ/kg dT=10;// °C C_pw=4.2;// kJ/kg°C // Calculation // Considering compressor p_2=p_1*p_r;// bar T_2a=T_1*(p_r)^((r_a-1)/r_a);// K T_2=((T_2a-T_1)/n_c)+T_1;// K // Considering turbine T_4a=T_3/(p_r)^((r_g-1)/r_g);// K T_4=T_3-((T_3-T_4a)*n_t);// K T_5=T_3;// K // Considering heat balance in CC-I function[X]=mass(y); X(1)=(y(1)*CV*n_com)-((y(2)+y(1))*C_pg*(T_3-T_2)); X(2)=(W_g)-(((y(2)+y(1))*C_pg*(T_3-T_4))-(y(2)*C_pa*(T_2-T_1))); X(3)=(y(3)*CV*n_com)-((y(2)+y(1)+y(3))*C_pg*(T_5-T_4)); endfunction y=[1 100 1]; z=fsolve(y,mass); m_a1=z(2);// kg/sec m_f1=z(1);// kg/sec m_f2=z(3);// kg/sec AF_1=m_a1/m_f1; m_f=m_f1+m_f2;// kg/sec Q_s=(m_f*CV);// kW n=(W_t/Q_s)*100;// Efficiency of the plant in % // From h-s chart: h_7=3610;// kJ/kg // From steam table h_9=32.6;// kJ/kg m_s=((m_a1+m_f1+m_f2)*C_pg*(T_5-T_6))/(h_7-h_9);// kg/sec Afsf=m_a1/m_s;// Air flow to steam flow ratio Cf=((m_f*3600)/1000)*Gc;// Cost of fuel per hour in rupees E_g=W_t;// Energy generated per hour kWh Cg=Cf/E_g;// Cost of generation in rupees/kWh // From h-s chart: h_8=2220;// kJ/kg m_w=(m_s*3600*(h_8-h_9))/(C_pw*dT*1000);// Quantity of cooling water required in tons/hr printf('\n(i)Overall efficiency of the plant=%0.1f percentage \n(ii)Air flow to steam flow ratio=%0.2f \n(iii)Cost of generation=%0.2f rupees/kWh \n(iv)Quantity of cooling water required=%0.0f tons/hr',n,Afsf,Cg,m_w); // The answer provided in the textbook is wrong