mission-wide sim
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aj
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173
maths/mission_power_model.m
Normal file
173
maths/mission_power_model.m
Normal file
@ -0,0 +1,173 @@
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%% power_model.m
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%%
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%% Vessel power model
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close all;clear all;clc;
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%% Flags
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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CUMULATIVE_ERRORS = false;
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ITERATE = ~true;
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SAVE = ~true;
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%% Parameters
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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ITERATIONS = 5;
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MIN_P_IN = 0; % W, max power from fuel cells
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MAX_P_IN = 8e6; % W, max power from fuel cells
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P_IN_LOAD = 0.3; % most efficient load percent
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%%%%% DP (SS7)
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dp_MAX_P_OUT = 3842e3; % W
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dp_MIN_P_OUT = 362e3; % W
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dp_SIMULATION_DAYS = 2; % days
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%%%%% Outbound
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out_MAX_P_OUT = 1600e3; % W
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out_MIN_P_OUT = 600e3; % W
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out_SIMULATION_DAYS = 3; % days
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%
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%%%%% Manouvering
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man_MAX_P_OUT = 800e3; % W
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man_MIN_P_OUT = 200e3; % W
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man_SIMULATION_DAYS = 1; % days
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% %%%%% Home
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home_MAX_P_OUT = 800e3; % W
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home_MIN_P_OUT = 200e3; % W
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home_SIMULATION_DAYS = 3; % days
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BATT_INIT_LEVEL = 0.5;
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SIMULATION_DAYS = out_SIMULATION_DAYS + (2 * man_SIMULATION_DAYS) + (2 * dp_SIMULATION_DAYS) + home_SIMULATION_DAYS;
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%% Simulate
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% outbound
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p_av = (out_MAX_P_OUT + out_MIN_P_OUT) / 2;
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[power_in,battery_level,power_out,unused_energy,unavailable_energy, batt_capacity] = power_sim(out_MAX_P_OUT, out_MIN_P_OUT, MAX_P_IN, MIN_P_IN, out_SIMULATION_DAYS, p_av, p_av, -1, CUMULATIVE_ERRORS);
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% manouvering
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[p_in,b_level,p_out,u_energy,una_energy, ~] = power_sim(man_MAX_P_OUT, man_MIN_P_OUT, MAX_P_IN, MIN_P_IN, man_SIMULATION_DAYS, power_out(end), power_in(end), battery_level(end), CUMULATIVE_ERRORS);
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power_in = [power_in p_in];
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battery_level = [battery_level b_level];
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power_out = [power_out p_out];
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unused_energy = [unused_energy u_energy];
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unavailable_energy = [unavailable_energy una_energy];
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% DP
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[p_in,b_level,p_out,u_energy,una_energy, ~] = power_sim(dp_MAX_P_OUT, dp_MIN_P_OUT, MAX_P_IN, MIN_P_IN, dp_SIMULATION_DAYS, power_out(end), power_in(end), battery_level(end), CUMULATIVE_ERRORS);
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power_in = [power_in p_in];
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battery_level = [battery_level b_level];
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power_out = [power_out p_out];
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unused_energy = [unused_energy u_energy];
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unavailable_energy = [unavailable_energy una_energy];
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% manouvering
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[p_in,b_level,p_out,u_energy,una_energy, ~] = power_sim(man_MAX_P_OUT, man_MIN_P_OUT, MAX_P_IN, MIN_P_IN, man_SIMULATION_DAYS, power_out(end), power_in(end), battery_level(end), CUMULATIVE_ERRORS);
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power_in = [power_in p_in];
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battery_level = [battery_level b_level];
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power_out = [power_out p_out];
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unused_energy = [unused_energy u_energy];
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unavailable_energy = [unavailable_energy una_energy];
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% DP
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[p_in,b_level,p_out,u_energy,una_energy, ~] = power_sim(dp_MAX_P_OUT, dp_MIN_P_OUT, MAX_P_IN, MIN_P_IN, dp_SIMULATION_DAYS, power_out(end), power_in(end), battery_level(end), CUMULATIVE_ERRORS);
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power_in = [power_in p_in];
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battery_level = [battery_level b_level];
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power_out = [power_out p_out];
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unused_energy = [unused_energy u_energy];
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unavailable_energy = [unavailable_energy una_energy];
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% home
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[p_in,b_level,p_out,u_energy,una_energy, ~] = power_sim(home_MAX_P_OUT, home_MIN_P_OUT, MAX_P_IN, MIN_P_IN, home_SIMULATION_DAYS, power_out(end), power_in(end), battery_level(end), CUMULATIVE_ERRORS);
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power_in = [power_in p_in];
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battery_level = [battery_level b_level];
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power_out = [power_out p_out];
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unused_energy = [unused_energy u_energy];
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unavailable_energy = [unavailable_energy una_energy];
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sim_seconds = length(power_in);
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x = (1:sim_seconds) / (60 * 60 * 24);
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x_ticks = (1: sim_seconds / (60 * 60 * 24));
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figure('Renderer', 'painters', 'Position', [10 10 1000 800])
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line_width = 1;
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subplot(3, 1, 1);
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sgtitle('Mission Power Usage');
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% sgtitle(TITLE);
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hold on;
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grid on;
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plot(x, power_in / 1e6, 'g', 'LineWidth', 2);
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plot(x, power_out / 1e6, 'r', 'LineWidth', 1);
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% max_line = yline(MAX_P_OUT / 1e6, '-c', 'LineWidth', line_width * 0.75);
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% min_line = yline(MIN_P_OUT / 1e6, '-c', 'LineWidth', line_width * 0.75);
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max_line.Alpha = 0.5;
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min_line.Alpha = 0.5;
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% yline(P_IN / 1e6, '--m', 'LineWidth', line_width * 0.5);
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legend('P In', 'P Out');
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ylabel('Power (MW)')
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xlim([0 inf])
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ylim([0 ceil(max(max(power_in/1e6), max(power_out/1e6)))])
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xticks(x_ticks)
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xlabel('Time (Days)')
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hold off;
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% figure(2)
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subplot(3, 1, 2);
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hold on;
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grid on;
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plot(x, battery_level * 100 / batt_capacity, 'LineWidth', 2);
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legend('Battery Level');
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ylabel('Capacity (%)')
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xlim([0 inf])
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ylim([0 100])
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xticks(x_ticks)
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xlabel('Time (Days)')
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hold off;
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subplot(3, 1, 3);
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hold on;
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grid on;
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plot(x, unused_energy, 'g', 'LineWidth', line_width);
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plot(x, unavailable_energy, 'r', 'LineWidth', line_width);
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legend('Unused', 'Unavailable');
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if CUMULATIVE_ERRORS
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ylabel('Energy (J)')
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else
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ylabel('Power (W)')
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end
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xlim([0 inf])
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ylim([0 inf])
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xticks(x_ticks)
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xlabel('Time (Days)')
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hold off;
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if SAVE
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exportgraphics(gcf, sprintf('%s-%i.png', TITLE, I), 'Resolution', '250')
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end
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% FINAL STATS
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if CUMULATIVE_ERRORS
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fprintf('%.f MJ/day of unused power\n', unused_energy(end) / (1e6 * SIMULATION_DAYS));
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fprintf('%.f MJ/day of unavailable power\n\n', unavailable_energy(end) / (1e6 * SIMULATION_DAYS));
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fprintf('%.f MJ of unused power\n', unused_energy(end) / 1e6);
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fprintf('%.f MJ of unavailable power\n', unavailable_energy(end) / 1e6);
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end
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@ -17,27 +17,23 @@ SAVE = ~true;
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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ITERATIONS = 5;
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% SIMULATION_DAYS = 1; % days
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CELL_TOTAL = 159201; % from battery script
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% CELL_TOTAL = 500000;
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MIN_P_IN = 0; % W, max power from fuel cells
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MAX_P_IN = 8e6; % W, max power from fuel cells
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P_IN_LOAD = 0.3; % most efficient load percent
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%%%%% DP (SS7)
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% MAX_P_OUT = 3842e3; % W
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% MIN_P_OUT = 362e3; % W
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% TITLE = 'Dyn. Pos. Sea State 7';
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% SIMULATION_DAYS = 2; % days
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MAX_P_OUT = 3842e3; % W
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MIN_P_OUT = 362e3; % W
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TITLE = 'Dyn. Pos. Sea State 7';
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SIMULATION_DAYS = 2; % days
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%%%%% Outbound
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% MAX_P_OUT = 1600e3; % W
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% MIN_P_OUT = 600e3; % W
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% TITLE = 'Outbound Steaming';
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% SIMULATION_DAYS = 3; % days
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%
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%%%%% Manouvering
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% MAX_P_OUT = 800e3; % W
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% MIN_P_OUT = 200e3; % W
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@ -50,140 +46,16 @@ P_IN_LOAD = 0.3; % most efficient load percent
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% TITLE = 'Homebound';
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% SIMULATION_DAYS = 3; % days
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P_IN_INTERVAL = ( 200e3/(5*60) ) * 0.75; % W amount that gen power increases when required
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P_OUT_INTERVAL = 1e4; % W amount that load can varies by randomly
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BATT_INIT_LEVEL = 0.5;
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BATT_FULL_LEVEL = 0.9; % battery level at which the power input decreases
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BATT_WARN_LEVEL = 0.3; % battery level at which the power input increases
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%% Specs
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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cell_voltage = 3.6; % V
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cell_capacity = 2850; % mAh
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cell_dis_c = 1; % 1/h
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cell_charge_c = 0.5; % 1/h
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cell_dis_i = cell_capacity * cell_dis_c / 1e3; % A
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cell_charge_i = cell_capacity * cell_charge_c / 1e3; % A
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batt_dis_p = cell_dis_i * cell_voltage * CELL_TOTAL; % W
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batt_charge_p = cell_charge_i * cell_voltage * CELL_TOTAL; % W
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batt_capacity = CELL_TOTAL * cell_capacity * cell_voltage / 1e3; % Wh
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% P_IN = MAX_P_IN * P_IN_LOAD; % W, efficient load
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P_IN = (MIN_P_OUT + MAX_P_OUT) / 2; % W, Average power out
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sim_seconds = SIMULATION_DAYS * 24 * 60 * 60;
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%%%%%%% unit conversions
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batt_capacity = batt_capacity * 3600; % J
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%% Simulate
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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if ITERATE; iter_range = ITERATIONS; else; iter_range = 1; end
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for I=(1:iter_range)
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p_av = (MAX_P_OUT + MIN_P_OUT) / 2;
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[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);
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% Arrays for time varying values
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power_in = zeros(1, sim_seconds);
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battery_level = zeros(1, sim_seconds);
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power_out = zeros(1, sim_seconds);
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unused_energy = zeros(1, sim_seconds);
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unavailable_energy = zeros(1, sim_seconds);
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% 'cursor' values that change throughout sim
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current_p_in = P_IN;
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current_p_out = (MAX_P_OUT + MIN_P_OUT) / 2;
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% Set initial value
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power_in(1) = current_p_in;
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battery_level(1)= batt_capacity * BATT_INIT_LEVEL;
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power_out(1) = current_p_out;
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% loop through day
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for SECOND=1:sim_seconds
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battery_net = current_p_in - current_p_out; % net power this second
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% get last energy value at the battery
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% set cumulative values
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if SECOND == 1
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battery_last = battery_level(1);
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if CUMULATIVE_ERRORS
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unused_energy(SECOND) = unused_energy(1); % cumulative
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unavailable_energy(SECOND) = unavailable_energy(1); % cumulative
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end
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else
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battery_last = battery_level(SECOND - 1);
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if CUMULATIVE_ERRORS
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unused_energy(SECOND) = unused_energy(SECOND - 1); % cumulative
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unavailable_energy(SECOND) = unavailable_energy(SECOND - 1); % cumulative
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end
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end
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% CHARGING
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if battery_net > 0
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curr_battery = battery_last + min(battery_net, batt_charge_p);
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% TOO MUCH FOR BATTERY CAPACITY
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if batt_capacity < curr_battery
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unused_energy(SECOND) = unused_energy(SECOND) + abs(batt_capacity - curr_battery);
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end
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% TOO MUCH CURRENT FOR BATTERY
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if battery_net > batt_charge_p
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unused_energy(SECOND) = unused_energy(SECOND) + battery_net - batt_charge_p;
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end
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% DISCHARGING
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else
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discharge_p = min(abs(battery_net), batt_dis_p);
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curr_battery = battery_last - discharge_p;
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% BATTERY EMPTY
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if curr_battery < 0
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unavailable_energy(SECOND) = unavailable_energy(SECOND) + abs(curr_battery);
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end
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% TOO MUCH CURRENT FOR BATTERY
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if abs(battery_net) > batt_dis_p
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unavailable_energy(SECOND) = unavailable_energy(SECOND) + abs(battery_net) - batt_dis_p;
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end
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end
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% STORE VALUES
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power_in(SECOND) = current_p_in;
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battery_level(SECOND) = max(min(curr_battery, batt_capacity), 0);
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power_out(SECOND) = current_p_out;
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% CHANGE LOAD
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power_out_delta = (rand - 0.5) * 2 * P_OUT_INTERVAL;
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current_p_out = min(max(current_p_out + power_out_delta, MIN_P_OUT), MAX_P_OUT);
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% BATTERY LOW, INCREASE POWER IN
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% if battery_net < 0 && (battery_level(SECOND)/batt_capacity) < BATT_WARN_LEVEL
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if (battery_level(SECOND)/batt_capacity) < BATT_WARN_LEVEL
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current_p_in = min(current_p_in + P_IN_INTERVAL, MAX_P_IN);
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% BATTERY HIGH, DECREASE POWER IN
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elseif (battery_level(SECOND)/batt_capacity) > BATT_FULL_LEVEL
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current_p_in = max(current_p_in - P_IN_INTERVAL, MIN_P_IN);
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% NEITHER, RELAX TO EFFICIENT STATE
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else
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delta_to_efficiency = P_IN - current_p_in;
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if delta_to_efficiency > 0
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current_p_in = min(current_p_in + P_IN_INTERVAL, P_IN);
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else
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current_p_in = max(current_p_in - P_IN_INTERVAL, P_IN);
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end
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end
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end
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sim_seconds = length(power_in);
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x = (1:sim_seconds) / (60 * 60);
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x_ticks = (1: sim_seconds / (60 * 60));
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@ -192,18 +64,13 @@ if SIMULATION_DAYS > 1
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if SIMULATION_DAYS < 4
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x_ticks = (1: sim_seconds / (60 * 60));
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else
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% x_ticks = (1: sim_seconds / (60 * 60 * 24));
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x_ticks = (1: sim_seconds / (60 * 60 * 24));
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end
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x = x / 24;
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end
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% figure(I)
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figure('Renderer', 'painters', 'Position', [10 10 1000 800])
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% t = tiledlayout(1,1,'Padding','none');
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% t.Units = 'inches';
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% t.OuterPosition = [0.25 0.25 5 5];
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% nexttile;
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line_width = 1;
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subplot(3, 1, 1);
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@ -219,12 +86,12 @@ min_line = yline(MIN_P_OUT / 1e6, '-c', 'LineWidth', line_width * 0.75);
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max_line.Alpha = 0.5;
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min_line.Alpha = 0.5;
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yline(P_IN / 1e6, '--m', 'LineWidth', line_width * 0.5);
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yline(p_av / 1e6, '--m', 'LineWidth', line_width * 0.5);
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legend('P In', 'P Out', 'Max P Out', 'Min P Out', 'Ideal P In');
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legend('P In', 'P Out', 'Max P Out', 'Min P Out', 'Average P In');
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ylabel('Power (MW)')
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xlim([0 inf])
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ylim([0 ceil(max(max(power_in/1e6), max(power_out/1e6)))])
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% ylim([0 ceil(max(max(power_in/1e6), max(power_out/1e6)))])
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xticks(x_ticks)
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if SIMULATION_DAYS > 1
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xlabel('Time (Days)')
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@ -277,11 +144,9 @@ if SAVE
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exportgraphics(gcf, sprintf('%s-%i.png', TITLE, I), 'Resolution', '250')
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end
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end
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% FINAL STATS
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if ~CUMULATIVE_ERRORS
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if CUMULATIVE_ERRORS
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fprintf('%.f MJ/day of unused power\n', unused_energy(end) / (1e6 * SIMULATION_DAYS));
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fprintf('%.f MJ/day of unavailable power\n\n', unavailable_energy(end) / (1e6 * SIMULATION_DAYS));
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144
maths/power_sim.m
Normal file
144
maths/power_sim.m
Normal file
@ -0,0 +1,144 @@
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function [power_in,battery_level,power_out,unused_energy,unavailable_energy, batt_capacity] = ...
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power_sim(MAX_P_OUT, MIN_P_OUT, MAX_P_IN, MIN_P_IN, SIMULATION_DAYS, init_p_out, init_p_in, init_battery, CUMULATIVE_ERRORS)
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%POWER_SIM Summary of this function goes here
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%% Specs
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
||||
CELL_TOTAL = 159201; % from battery script
|
||||
|
||||
P_IN_INTERVAL = ( 200e3/(5*60) ) * 0.75; % W amount that gen power increases when required
|
||||
P_OUT_INTERVAL = 1e4; % W amount that load can varies by randomly
|
||||
|
||||
cell_voltage = 3.6; % V
|
||||
cell_capacity = 2850; % mAh
|
||||
cell_dis_c = 1; % 1/h
|
||||
cell_charge_c = 0.5; % 1/h
|
||||
|
||||
cell_dis_i = cell_capacity * cell_dis_c / 1e3; % A
|
||||
cell_charge_i = cell_capacity * cell_charge_c / 1e3; % A
|
||||
|
||||
batt_dis_p = cell_dis_i * cell_voltage * CELL_TOTAL; % W
|
||||
batt_charge_p = cell_charge_i * cell_voltage * CELL_TOTAL; % W
|
||||
|
||||
batt_capacity = CELL_TOTAL * cell_capacity * cell_voltage / 1e3; % Wh
|
||||
|
||||
% P_IN = MAX_P_IN * P_IN_LOAD; % W, efficient load
|
||||
P_IN = (MIN_P_OUT + MAX_P_OUT) / 2; % W, Average power out
|
||||
|
||||
sim_seconds = SIMULATION_DAYS * 24 * 60 * 60;
|
||||
|
||||
%%%%%%% unit conversions
|
||||
batt_capacity = batt_capacity * 3600; % J
|
||||
|
||||
BATT_FULL_LEVEL = 0.9; % battery level at which the power input decreases
|
||||
BATT_WARN_LEVEL = 0.4; % battery level at which the power input increases
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%% Simulate
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
||||
% Arrays for time varying values
|
||||
power_in = zeros(1, sim_seconds);
|
||||
battery_level = zeros(1, sim_seconds);
|
||||
power_out = zeros(1, sim_seconds);
|
||||
|
||||
unused_energy = zeros(1, sim_seconds);
|
||||
unavailable_energy = zeros(1, sim_seconds);
|
||||
|
||||
% 'cursor' values that change throughout sim
|
||||
current_p_in = P_IN;
|
||||
current_p_out = (MAX_P_OUT + MIN_P_OUT) / 2;
|
||||
|
||||
% Set initial value
|
||||
power_in(1) = init_p_in;
|
||||
if init_battery == -1
|
||||
battery_level(1)= 0.5*batt_capacity;
|
||||
else
|
||||
battery_level(1)= init_battery;
|
||||
end
|
||||
power_out(1) = init_p_out;
|
||||
|
||||
% loop through day
|
||||
for SECOND=1:sim_seconds
|
||||
battery_net = current_p_in - current_p_out; % net power this second
|
||||
|
||||
% get last energy value at the battery
|
||||
% set cumulative values
|
||||
if SECOND == 1
|
||||
battery_last = battery_level(1);
|
||||
if CUMULATIVE_ERRORS
|
||||
unused_energy(SECOND) = unused_energy(1); % cumulative
|
||||
unavailable_energy(SECOND) = unavailable_energy(1); % cumulative
|
||||
end
|
||||
else
|
||||
battery_last = battery_level(SECOND - 1);
|
||||
if CUMULATIVE_ERRORS
|
||||
unused_energy(SECOND) = unused_energy(SECOND - 1); % cumulative
|
||||
unavailable_energy(SECOND) = unavailable_energy(SECOND - 1); % cumulative
|
||||
end
|
||||
end
|
||||
|
||||
% CHARGING
|
||||
if battery_net > 0
|
||||
curr_battery = battery_last + min(battery_net, batt_charge_p);
|
||||
|
||||
% TOO MUCH FOR BATTERY CAPACITY
|
||||
if batt_capacity < curr_battery
|
||||
unused_energy(SECOND) = unused_energy(SECOND) + abs(batt_capacity - curr_battery);
|
||||
end
|
||||
|
||||
% TOO MUCH CURRENT FOR BATTERY
|
||||
if battery_net > batt_charge_p
|
||||
unused_energy(SECOND) = unused_energy(SECOND) + battery_net - batt_charge_p;
|
||||
end
|
||||
|
||||
% DISCHARGING
|
||||
else
|
||||
discharge_p = min(abs(battery_net), batt_dis_p);
|
||||
curr_battery = battery_last - discharge_p;
|
||||
|
||||
% BATTERY EMPTY
|
||||
if curr_battery < 0
|
||||
unavailable_energy(SECOND) = unavailable_energy(SECOND) + abs(curr_battery);
|
||||
end
|
||||
|
||||
% TOO MUCH CURRENT FOR BATTERY
|
||||
if abs(battery_net) > batt_dis_p
|
||||
unavailable_energy(SECOND) = unavailable_energy(SECOND) + abs(battery_net) - batt_dis_p;
|
||||
end
|
||||
end
|
||||
|
||||
% STORE VALUES
|
||||
power_in(SECOND) = current_p_in;
|
||||
battery_level(SECOND) = max(min(curr_battery, batt_capacity), 0);
|
||||
power_out(SECOND) = current_p_out;
|
||||
|
||||
% CHANGE LOAD
|
||||
power_out_delta = (rand - 0.5) * 2 * P_OUT_INTERVAL;
|
||||
current_p_out = min(max(current_p_out + power_out_delta, MIN_P_OUT), MAX_P_OUT);
|
||||
|
||||
% BATTERY LOW, INCREASE POWER IN
|
||||
% if battery_net < 0 && (battery_level(SECOND)/batt_capacity) < BATT_WARN_LEVEL
|
||||
if (battery_level(SECOND)/batt_capacity) < BATT_WARN_LEVEL
|
||||
percent_diff = (BATT_WARN_LEVEL - (battery_level(SECOND)/batt_capacity)) / BATT_WARN_LEVEL;
|
||||
current_p_in = min(current_p_in + percent_diff * P_IN_INTERVAL, MAX_P_IN);
|
||||
|
||||
% BATTERY HIGH, DECREASE POWER IN
|
||||
elseif (battery_level(SECOND)/batt_capacity) > BATT_FULL_LEVEL
|
||||
current_p_in = max(current_p_in - P_IN_INTERVAL, MIN_P_IN);
|
||||
|
||||
% NEITHER, RELAX TO EFFICIENT STATE
|
||||
else
|
||||
delta_to_efficiency = P_IN - current_p_in;
|
||||
if delta_to_efficiency > 0
|
||||
current_p_in = min(current_p_in + P_IN_INTERVAL, P_IN);
|
||||
else
|
||||
current_p_in = max(current_p_in - P_IN_INTERVAL, P_IN);
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
Loading…
Reference in New Issue
Block a user