Attempt at a fix for the propeller torque problems in the
"slow/windmilling propeller" regime. I'm happy with the foundations of the solution, but this hasn't been complete tested yet. The solution behavior seems fine on the planes I tried.
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1 changed files with 28 additions and 36 deletions
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@ -58,55 +58,47 @@ void Propeller::setPropPitch(float proppitch)
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void Propeller::calc(float density, float v, float omega,
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float* thrustOut, float* torqueOut)
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{
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if (_manual) {
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float pps = _proppitch * 0.9999f; // avoid singularity
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pps = 1 + ( Math::pow(pps,-1/(pps-1)) - Math::pow(pps,-pps/(pps-1)) );
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_j0 = (4*_baseJ0) - ( ((4*_baseJ0) - (0.26f*_baseJ0)) * pps );
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}
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// For manual pitch, exponentially modulate the J0 value between
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// 0.25 and 4. A prop pitch of 0.5 results in no change from the
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// base value.
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if (_manual)
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_j0 = _baseJ0 * Math::pow(2, 4*_proppitch - 2);
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float tipspd = _r*omega;
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float V2 = v*v + tipspd*tipspd;
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// Clamp v (forward velocity) to zero, now that we've used it to
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// calculate V (propeller "speed")
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// Sanify
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if(v < 0) v = 0;
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// The model doesn't work for propellers turning backwards.
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if(omega < 0.001) omega = 0.001;
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float J = v/omega;
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float lambda = J/_j0;
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float J = v/omega; // Advance ratio
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float lambda = J/_j0; // Unitless scalar advance ratio
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float torque = 0;
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if(lambda > 1) {
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lambda = 1.0f/lambda;
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torque = (density*V2*_f0*_j0)/(4*_etaC*_beta*(1-_lambdaPeak));
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}
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// There's an undefined point at lambda == 1.
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if(lambda == 1.0f) lambda = 0.9999f;
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// There's an undefined point at 1. Just offset by a tiny bit to
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// fix (note: the discontinuity is at EXACTLY one, this is about
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// the only time in history you'll see me use == on a floating
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// point number!)
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if(lambda == 1.0) lambda = 0.9999f;
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float l4 = lambda*lambda; l4 = l4*l4; // lambda^4
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float gamma = (_etaC*_beta/_j0)*(1-l4); // thrust/torque ratio
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// Calculate lambda^4
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float l4 = lambda*lambda; l4 = l4*l4;
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// thrust/torque ratio
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float gamma = (_etaC*_beta/_j0)*(1-l4);
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// Compute a thrust, clamp to takeoff thrust to prevend huge
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// numbers at slow speeds.
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// Compute a thrust coefficient, with clamping at very low
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// lambdas (fast propeller / slow aircraft).
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float tc = (1 - lambda) / (1 - _lambdaPeak);
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if(_matchTakeoff && tc > _tc0) tc = _tc0;
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float thrust = 0.5f * density * V2 * _f0 * tc;
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if(torque > 0) {
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torque -= thrust/gamma;
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thrust = -thrust;
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} else {
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torque = thrust/gamma;
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float torque = thrust/gamma;
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if(lambda > 1) {
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// This is the negative thrust / windmilling regime. Throw
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// out the efficiency graph approach and instead simply
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// extrapolate the existing linear thrust coefficient and a
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// torque coefficient that crosses the axis at a preset
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// windmilling speed. The tau0 value is an analytically
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// calculated (i.e. don't mess with it) value for a torque
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// coefficient at lamda==1.
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float tau0 = (0.25f * _j0) / (_etaC * _beta * (1 - _lambdaPeak));
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float lambdaWM = 1.2f; // lambda of zero torque (windmilling)
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torque = tau0 - tau0 * (lambda - 1) / (lambdaWM - 1);
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torque *= 0.5f * density * V2 * _f0;
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}
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*thrustOut = thrust;
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