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Calculation of Multirotor UAV Required Power

to calculate the power required for an uav rotor craft or multirotor uav

you have to define your flight conditions and design requirements

Input Data:

a) Flight Conditions:Temperature, T

Density,

Specific Heat, Gas Constant, Ru

b) Design Requirement:Gross Weight, W

Tip Mach number, Mt

Forward Velocity, Vf

Climb Velocity, Vc

Procedure of calculation:

1.Tip speed, RR=Mt Vf

2.Thrust Coefficient CTCT=

3.Induced Velocity ViVi=

4.inflow ratioi =

c =

5.Solidity

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=

6. Advance ratio =

7. Parasite Areaf=

8. Power requiredPR= (K )

9. Total PowerP=PR+ power losses

= PR+ 0.1 PR= 1.1 PR

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Matlab code:

a) Codeclccloseallclearall% INPUT DATA%% 1- Flight ConditionT=288; rou=1.225; Ru=287; gama=1.4;%% 2- Design Requirmentw=3*9.81; Mtip=0.2; Vc=2; Vf=0;%% 3- Geometry available

C=0.03; R=0.24; A=pi*R^2 ;%% other GivensK=1.15; N=2; CDo=0.01;

% CALCULATIONS% Tip speedVtip=Mtip*sqrt(gama*Ru*T)-Vf;% Thrust CoefficintCt=(w)/(rou*A*Vtip^2);% Induced VelocityVi=sqrt((w)/(2*rou*A));%Inflow Ratiolamdai=Vi/Vtip;% inflow ratio >> climblamdac=Vc/Vtip;% SolidityS=(N*C)/(pi*R);% Advance Ratiomu=Vf/Vtip;% Parasite areaf=0.1*A;% Power RequiredPt=((K*lamdai*Ct)+(0.5*CDo*(1+K*mu^2))+(0.5*mu^3*(f/A))+(lamdac*Ct))*rou*A*Vtip^3% total power included lossesP=1.1*Pt% RPMcp=(Pt/(rou*A*Vtip^3));Q=cp*rou*A*Vtip^2*R;omega=(Pt/Q)*(60/(2*pi))

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b) ResultsP

T= 683watt

P=257watt

= 2707 RPM

Variation of power with forward velocity:

a) MatLab codeclccloseallclearall

T=288; rou=1.225; Ru=287; gama=1.4;w=3*9.8; Mtip=0.2;C=0.03; R=0.24; A=pi*R^2 ;K=1.15; N=2; CDo=0.01; Vc=2;Vf=0:0.01:30;fori=1:length(Vf)

Vtip(i)=Mtip*sqrt(gama*Ru*T)-Vf(i);Ct(i)=(w)/(rou*A*Vtip(i)^2);Vi=sqrt((w)/(2*rou*A));lamdai(i)=Vi/Vtip(i);lamdac(i)=Vc/Vtip(i);S=(N*C)/(pi*R);mu(i)=Vf(i)/Vtip(i);f=0.1*A;Pt(i)=((K*lamdai(i)*Ct(i))+(0.5*CDo*(1+K*mu(i)^2))+(0.5*mu(i)^3*(f/A))+(lamdac(i)*Ct(i)))*rou*A*Vtip(i)^3;P(i)=1.1*Pt(i);

endfigure(1)plot(Vf,P/3,'linewidth',1.5)gridonxlabel('Forword Velocity (m/s)','fontsize',14)ylabel('Power Required (watt) ','fontsize',14)title('Power of one Rotor','fontsize',18)

figure(2)plot(Vf,P,'linewidth',1.5)gridonxlabel('Forword Velocity (m/s)','fontsize',14)ylabel('Power (watt) ','fontsize',14)

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title('Performnce','fontsize',18)

b) Results

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