Multiply and integrate two plots for single output value

Question

Ben Bawtree 2023-3-27

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1935839-multiply-and-integrate-two-plots-for-single-output-value

回答： Peter Perkins 2023-3-27

Below is illustrated the code used to compute functions, with a comment at the bottom summarising the aim. To obtain a single value for annual energy output from two plots.

%% Clear Workspace 
clc; clear all; clear;
% Define Parameters 
K_0 = 3149/1080;
K_1 = 469/1080;
T_1 = 12.4/24; %hours 
T_0 = 353/24;  %hours 
% Define Timestep
ts_min = 2; %mins
ts_hours = ts_min/60;
ts_days = ts_hours/24;
ts_years = ts_days/365;
start_val = 0; % days 
end_val = 365; % days  
nElements = 1/ts_years; % intervals in a year
ts = linspace(start_val, end_val, nElements); % create timestep array
% Define Harmonic Analysis
V = (K_0 + K_1.*cos((2.*pi.*ts)/T_1)).*cos((2.*pi.*ts)/T_0);
V2 = V.^2;
Vnorm = sqrt(V2);
plot(ts,Vnorm);
grid on;
% Plot Histogram of Wind Velocity Frequencies 
hist(Vnorm);
grid on;
%% Tidal Power Curves for 4m and 6.5m from Excel 
PowerTable = readtable('TidalData.xlsx','Sheet','Sheet1');
x4 = PowerTable.Header1; % Flow Speed [m/s] at 4m turbine
y4 = PowerTable.Header2; % Electrical Power [kW] at 4m turbine
x63 = PowerTable.Header3; %: Flow Speed [m/s] at 6.3m turbine
y63 = PowerTable.Header4; %: Electrical Power [kW] at 6.3m turbine
figure;
plot(x4,y4,'DisplayName','4m');
hold on;
grid on;
plot(x63,y63,'DisplayName','6.3m');
hold off;
legend
%% Multiplication Calculation power curve by yearly quantity
% aim to multiply plot(x4,y4)- flow speed (m/s) vs. electrical power (kW),
% by hist(Vnorm)- flow speed (m/s) vs. annual number of hours, to get the total annual
% electrical power kWh in a year..

4 个评论
显示 2更早的评论隐藏 2更早的评论

Mathieu NOE 2023-3-27

hello

first comment, you did not provide the excel file needed to run your code

second comment, why would we need the histogram distribution if you know the velocity all year long and you know the turbine power output vs velocity.

Combining both data will give you the power output every time increment (hour ?) of the year. and the end you just have to sum all those numbers to have the total kWh in one year.

Ben Bawtree 2023-3-27