MDDP-Cableship/maths/power_model.m

%% power_model.m
%%
%% Vessel power model

close all;clear all;clc;

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%              Flags
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

CUMULATIVE_ERRORS = false;
ITERATE = true;
SAVE = true;

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%           Parameters
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
day_to_seconds = 24*60*60;
hours_to_seconds = 60*60;

ITERATIONS      = 5;

MIN_P_IN        = 0;  % W, max power from fuel cells
MAX_P_IN        = 8e6;  % W, max power from fuel cells
P_IN_LOAD       = 0.3;  % most efficient load percent

%%%%% DP (SS7)
MAX_P_OUT       = 3842e3;  % W
MIN_P_OUT       = 362e3;    % W
TITLE           = 'Dyn. Pos. Sea State 7';
SIMULATION_DAYS = 2;   % days

cable_drum      = get_extra_p(SIMULATION_DAYS*day_to_seconds, 3*hours_to_seconds, 1.5*hours_to_seconds, 946.26e3);
cable_lower     = get_extra_p(SIMULATION_DAYS*day_to_seconds, 40*hours_to_seconds, 1.5*hours_to_seconds, 908.41e3);
crane           = get_extra_p(SIMULATION_DAYS*day_to_seconds, 12*hours_to_seconds, 15*60, 245.25e3);
rov_launch      = get_extra_p(SIMULATION_DAYS*day_to_seconds, 8*hours_to_seconds, 20*60, 454.2e3);
EXTRA_P         = [cable_drum ; cable_lower ; crane ; rov_launch];

%%%%% Outbound
% MAX_P_OUT       = 1600e3; % W
% MIN_P_OUT       = 600e3; % W
% TITLE           = 'Outbound Steaming';
% SIMULATION_DAYS = 3;   % days

%%%%% Manouvering
% MAX_P_OUT       = 800e3; % W
% MIN_P_OUT       = 200e3; % W
% TITLE           = 'Manouvering';
% SIMULATION_DAYS = 1;   % days
% 
% %%%%% Home
% MAX_P_OUT       = 800e3; % W
% MIN_P_OUT       = 200e3; % W
% TITLE           = 'Homebound';
% SIMULATION_DAYS = 3; % days

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%            Simulate
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

p_av = (MAX_P_OUT + MIN_P_OUT) / 2;
if exist('EXTRA_P')
    [power_in,battery_level,power_out,unused_energy,unavailable_energy, batt_capacity] = power_sim(MAX_P_OUT, MIN_P_OUT, MAX_P_IN, MIN_P_IN, SIMULATION_DAYS, p_av, p_av, -1, CUMULATIVE_ERRORS, EXTRA_P);
else
    [power_in,battery_level,power_out,unused_energy,unavailable_energy, batt_capacity] = power_sim(MAX_P_OUT, MIN_P_OUT, MAX_P_IN, MIN_P_IN, SIMULATION_DAYS, p_av, p_av, -1, CUMULATIVE_ERRORS);
end

sim_seconds = length(power_in);

x = (1:sim_seconds) / (60 * 60);
x_ticks = (1: sim_seconds / (60 * 60));

if SIMULATION_DAYS > 1
    if SIMULATION_DAYS < 4
        x_ticks = (1: sim_seconds / (60 * 60));
    else
        x_ticks = (1: sim_seconds / (60 * 60 * 24));
    end
    
    x = x / 24;
end

figure('Renderer', 'painters', 'Position', [10 10 1000 800])

line_width = 1;
subplot(3, 1, 1);
sgtitle(TITLE);
hold on;
grid on;

plot(x, power_in / 1e6, 'g', 'LineWidth', 2);
plot(x, power_out / 1e6, 'r', 'LineWidth', 1);

max_line = yline(MAX_P_OUT / 1e6, '-c', 'LineWidth', line_width * 0.75);
min_line = yline(MIN_P_OUT / 1e6, '-c', 'LineWidth', line_width * 0.75);
max_line.Alpha = 0.5;
min_line.Alpha = 0.5;

yline(p_av / 1e6, '--m', 'LineWidth', line_width * 0.5);

legend('P In', 'P Out', 'Max P Out', 'Min P Out', 'Average P In');
ylabel('Power (MW)')
xlim([0 inf])
% ylim([0 ceil(max(max(power_in/1e6), max(power_out/1e6)))])
xticks(x_ticks)
if SIMULATION_DAYS > 1
    xlabel('Time (Days)')
else
    xlabel('Time (Hours)')
end
hold off;

% figure(2)
subplot(3, 1, 2);

hold on;
grid on;
plot(x, battery_level * 100 / batt_capacity, 'LineWidth', 2);
legend('Battery Level');
ylabel('Capacity (%)')
xlim([0 inf])
ylim([0 100])
xticks(x_ticks)
if SIMULATION_DAYS > 1
    xlabel('Time (Days)')
else
    xlabel('Time (Hours)')
end
hold off;

subplot(3, 1, 3);

hold on;
grid on;
plot(x, unused_energy, 'g', 'LineWidth', line_width);
plot(x, unavailable_energy, 'r', 'LineWidth', line_width);
legend('Unused', 'Unavailable');
if CUMULATIVE_ERRORS
    ylabel('Energy (J)')
else
    ylabel('Power (W)')
end
xlim([0 inf])
ylim([0 inf])
xticks(x_ticks)
if SIMULATION_DAYS > 1
    xlabel('Time (Days)')
else
    xlabel('Time (Hours)')
end
hold off;

if SAVE
    exportgraphics(gcf, sprintf('%s.png', TITLE), 'Resolution', '250', 'ContentType','vector')
end

% FINAL STATS

if CUMULATIVE_ERRORS
    fprintf('%.f MJ/day of unused power\n', unused_energy(end) / (1e6 * SIMULATION_DAYS));
    fprintf('%.f MJ/day of unavailable power\n\n', unavailable_energy(end) / (1e6 * SIMULATION_DAYS));

    fprintf('%.f MJ of unused power\n', unused_energy(end) / 1e6);
    fprintf('%.f MJ of unavailable power\n', unavailable_energy(end) / 1e6);
end