% Delivered to the Government in Accordance with Contract FA8650-10-C-7080
% 
%  (c) 2011 United Technologies Corp.
% Developed with the sponsorship of the Defense Advanced Research Projects Agency (DARPA).
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% THE DATA IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS, SPONSORS, DEVELOPERS, CONTRIBUTORS, OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE DATA OR THE USE OR OTHER DEALINGS IN THE DATA.
% 

% This function computes the design and off design steady state performance
% of the LPC

function [T2, P2, G, Speed, Power] = LPC(T1, P1, w, Beta)

% Declare Global Viariable Data
global gam_cold R cp_cold;
global Mass_LPC_Tr
global PR_LPC_Tr
global Efficiency_LPC_Tr

% LPC Design Parameters
T_design = 258.7216;      % Design Temperature   
P_design = 4.1576e+04;    % Design Pressure
Speed_design = 2000;      % Design Speed
Mass_design = 15.134;     % Design Mass Flow
PR_design = 4;            % Design Pressure Ratio
Efficiency_design = 0.9;  % Design Efficiency

% LPC equations
Speed = w/Speed_design*sqrt(T_design/T1);                                           % Relative Corrected Speed         

Mass_nd = Mass_LPC_Tr(Beta, Speed);                      % Relative Corrected Mass Flow
PR_nd = PR_LPC_Tr(Beta, Speed);                          % Pressure Ratio
Efficiency_nd = Efficiency_LPC_Tr(Beta, Speed);          % Efficiency 

G = Mass_nd*Mass_design*(sqrt(T_design/T1)*(P1/P_design));          % Mass Flow  
P2 = (PR_nd*PR_design)*P1;                                          % Pressure
T2s = T1*(P2/P1)^((gam_cold-1)/gam_cold);                           % Isentropic Temperature        
T2 = (T2s-T1)/(Efficiency_nd*Efficiency_design)+T1;                 % True Temperature 
Power = G*cp_cold*(T1-T2);

end