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SP1 - SAFEPROBE. Scenario Analysis. Paolo Cravini Piaggio & C. S.p.A(Italy), paolo.cravini@piaggio.com SP1 & SP4 Partner. PTW falling on the roadway PTW falls down on a section of a single/dual carriageway and stay motionless on the road surface. V A. V B = 0. S 0.

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## Paolo Cravini Piaggio & C. S.p.A(Italy), paolo.cravini@piaggio SP1 & SP4 Partner

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**SP1 - SAFEPROBE**Scenario Analysis Paolo Cravini Piaggio & C. S.p.A(Italy), paolo.cravini@piaggio.com SP1 & SP4 Partner**PTW falling on the roadway**PTW falls down on a section of a single/dual carriageway and stay motionless on the road surface VA VB = 0 S0 Scenario AnalysisUC 7**PTW falling on the roadway**PTW falls down on a section of a single/dual carriageway and stay motionless on the road surface Scenario AnalysisUC 7 • Vehicle A – SAFEPROBE Vehicle - Receiver • Safespot platform • Vehicle B – PTW - Transmitter • Speed sensor • GPS • Tilt sensor**PTW overtaking OV while OV making a turn**Vehicle B suddenly changes lane on the trajectory of the incoming vehicle A (PTW) S0 VA VB Scenario AnalysisUC 8**PTW overtaking OV while OV making a turn**Vehicle B suddenly changes lane on the trajectory of the incoming vehicle A (PTW) Scenario AnalysisUC 8 • Vehicle A – PTW - Transmitter • Speed sensor • GPS • Vehicle B – SAFEPROBE Vehicle - Receiver • Safespot platform**: start speed of vehicle A and B**: start relative distance between vehicles (t=0) : limit value of mean deceleration (PTW is roughly 8 m/sec2) S0 VA VB Scenario AnalysisCalculation Safety Margin Concept Data**Vehicle B proceeds with**Vehicle A starts to decelerate at Only the case is considered S0 VA VB Scenario AnalysisCalculation Safety Margin Concept Assumptions (after starting manoeuvre)**Approximate stop distance :**Where is the typical reaction time S0 VA VB Scenario AnalysisCalculation Safety Margin Concept Definitions**Decelerate motion of vehicle A :**Motion at constant speed (vehicle B) : Relative distance between the vehicle (after braking) Scenario AnalysisCalculation Safety Margin Concept Equations of motion Before braking After braking**To avoid collision must assumes always**positive values Scenario AnalysisCalculation Safety Margin Concept Equations of motion That is the time corresponding to the minimum relative distance**S0**VA VB Scenario AnalysisCalculation Safety Margin Concept Equations of motion**Scenario AnalysisCalculation**Safety Margin Concept Adimensional parameter • If start distance is equal to stop distance • If vehicles are travelling at the same speed • If deceleration is equal than the limit value**S0**VA VB Scenario AnalysisCalculation Safety Margin Concept Equations of motion in terms of**Which is the minimum value for for deceleration of vehicle A**in order to avoid collision with vehicle B ? This is expressed by the following condition S0 VA VB Scenario AnalysisCalculation Safety Margin Concept and by setting**Which is the minimum value for for deceleration of vehicle A**in order to avoid collision with vehicle B ? This is expressed by the following condition S0 VA VB Scenario AnalysisCalculation Safety Margin Concept**Previous equation gives as output the minimum value of**deceleration to avoid collision between vehicles. It is function of 5 parameters that can be monitored by the SAFESPOT system Scenario AnalysisCalculation Safety Margin Concept**The information could be transmitted to the driver of**vehicle B in terms of drivingconditions Scenario AnalysisCalculation Safety Margin Concept COMFORT SAFETY CRITICAL**Scenario AnalysisCalculation**Safety Margin Concept**Data :**Start speed of vehicle A : VA = 10 m/sec Start speed of vehicle B : VB = 6 m/sec Relative distance between vehicles (t=0) : S0 = 20 m Limit value of mean deceleration (PTW is roughly 8 m/sec2) : aLIM PTW deceleration : aR = 6 m/sec2 Reaction time : τ= 1 sec Scenario AnalysisCalculation Example – User Case 8 – Comfort Situation**Results :**Stop distance vehicle A : ST= 16.25 m Delta ST= 14.66 m – minimum relative distance Time corresponding to minimum relative distance : t*= 1.66 sec Relative distance between vehicles (t=0) : S0 = 20 m Kmin = 0.06 (Comfort Situation) The minimum relative distance is the space between the vehicle at the end of the manoeuvre Scenario AnalysisCalculation Example – User Case 8 – Comfort Situation**Data : The real situation (car turning in front of the PTW)**could be analysed by considering the car speed at the turning point equal to zero Start speed of vehicle A : VA= 10 m/sec (previous comfort situation) Start speed of vehicle B : VB = 0 m/sec (new situation) Relative distance between vehicles (t=0) : S0 = 20 m Limit value of mean deceleration (PTW is roughly 8 m/sec2) : aLIM PTW deceleration : aR = 6 m/sec2 Reaction time : τ= 1 sec Scenario AnalysisCalculation Example – User Case 8 – Safety Situation**Results :**Stop distance vehicle A : ST= 16.25 m Delta ST= 1.66 m – minimum relative distance Time corresponding to minimum relative distance : t*= 2.66 sec Relative distance between vehicles (t=0) : S0 = 20 m Kmin = 0.625 (Safety Situation) – The safety margin decrease due to VB = 0 The minimum relative distance is the space between the vehicle at the end of the manoeuvre Scenario AnalysisCalculation Example – User Case 8 – Safety Situation**Data :**Start speed of vehicle A : VA = 11 m/sec(new situation) Start speed of vehicle B : VB = 0 m/sec(previous safety situation) Relative distance between vehicles (t=0) : S0 = 20 m Limit value of mean deceleration (PTW is roughly 8 m/sec2) : aLIM PTW deceleration : aR = 6 m/sec2 Reaction time : τ= 1 sec Scenario AnalysisCalculation Example – User Case 8 – Critical Situation**Results :**Stop distance vehicle A : ST= 23.56 m Delta ST= -1.08 m (crash event) Time corresponding to minimum relative distance : t*= 2.83 sec Relative distance between vehicles (t=0) : S0 = 20 m Kmin = 0.84 (Critical Situation) Scenario AnalysisCalculation Example – User Case 8 – Critical Situation

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