Modelling and Configuration
Many different factors and criteria should be considered in order to design an acceptable RAPS. To power the service vehicle's auxiliary devices from braking recovered energy, a regenerative braking system should be integrated into the vehicle powertrain. The connection of the RAPS to the vehicle powertrain, total system configuration, safety, weight, and size of components are the most important factors. As the first step, integration of the RAPS to the vehicle powertrain should be investigated in detail. It is vital that connection of the RAPS does not cause any major modification to the existing vehicle; otherwise, the initial cost of the total system and the safety concerns will reduce industry interest.
The other important point is that the designed RAPS must be modular and easy-to-install in order to reduce installation time and costs. In addition, this research is intended for use in any service vehicle with auxiliary devices, so RAPS components and especially their models should be generic, modular, and flexible for the creation of scalable powertrains and RAPS component’s models.
Given these considerations, in this study, the RAPS components are designed with the different configurations of different powertrains in mind. By utilizing this method, RAPS components can be designed separately and added to an existing vehicle. In the first part of this chapter, the design configuration of the RAPS is discussed, and the two most possible categories for integration configurations are described. The modelling concepts of different RAPS components are explained in the last part.
System Configuration and Potential Energy Recovery
As illustrated in Figure 3.1, a RAPS consists of different electrical and mechanical parts. Input mechanical energy will be extracted from the vehicle's powertrain through the "RAPS Connection Point". There are different options for this connection point, and they will be explained in later sections. This extracted mechanical energy is in the form of torque and angular velocity. Based on the specifications and limitations of the generator, there is possibility of changing the range of the input angular velocity to the acceptable range of the generator.
Figure 3.1 Regenerative auxiliary power system (RAPS) configuration
The "Generator" will convert the mechanical energy into the electrical energy and produce electrical energy, in the form of current and voltage, to charge the "Electrical Energy Storages". The output energy of the generator will be sent to the "Electrical Energy Storages" through the "Power Electronics" module. The "Power Electronics" module controls the input energy flow to the "Electrical Energy Storages". The "Power Electronics" module's duty is to monitor the electrical energy flow and maintain the current and voltage in a form and range that is suitable for charging the "Electrical Energy Storages". As previously mentioned, the option for plug-in charging is considered for the proposed RAPS. The "Plug-in Charging" part will send the plug electrical energy to the "Electrical Energy Storages" through the "Power Electronics" module. The "Power Electronics" module has the ability to convert the plug-in AC electricity to the acceptable DC power by the "Electrical Energy Storage".
The "Electrical Energy Storages" stores the electrical energy and provides power to the vehicle's auxilary devices. The "Power Management Controller" will monitor the power demand, battery state of charge (SOC), vehicle status, and brake pedal signal, and based on these conditions, it will control the system's power flow. It should be noted that the one-way arrows in Figure 3.1 show the power flow in the RAPS, but the two-way arrow between the whole RAPS and the "Power Management Controller" is the flow of data and state conditions information.
System Integration to Powertrain
There are different parts in a vehicle powertrain that can be used to extract mechanical power for the generator. Possible configurations can be catagories in two main groups based on the amount of the demanded power; however, as explained in detail in the following sections, the limitation of the powertrain and connecting components are also very important in this classification. Two main groups of possible configurations are defined as:
Low Power Demand System (Serpentine Belt) Configuration
For service vehicles with power demands, it can be considered that the generator, which is mostly an alternator in this configuration, is connected to the engine's serpentine belt. The serpentine belt is a continuous belt used to power different devices, which are extracting their power directly from the engine. In this system, the serpentine belt connects the engine crankshaft to multiple devices including the alternator, water pump, air pump, air conditioning compressor, power steering pump, etc. In service vehicles, there is usually a space allocated to the attachment of another device, usually a compressor, to be powered by the serpentine belt. In the design of RAPS with low power demands, this space, as shown in Figure 3.2, can be used to install the extra generator. In addition, for service vehicles without this extra space, there is the option to utilize a higher output alternator instead of the Original Equipment Manufacturer (OEM) alternator.
Figure 3.2 Available space to install generator in the low power demand targeted vehicle "Ford Transit Connect Cargo XL-2010"
Figure 3.3 show schematically the low power configuration and attachment of the generator to the engine. In this figure, the small arrows show the mechanical or electrical power flow and the big arrows emphasizes the direction of the energy flow. The drawback of the low power demand configuration is that the maximum captured kinetic energy during braking is limited by the size of the generator-alternator. Thus, the regenerative energy is limited by the available space for the generator and the characteristics of the serpentine belt, especially its maximum tension capacity. This configuration is the main solution for vehicles, such as front wheel vehicles, with little space for adding the generator to the powertrain.
Figure 3.3 Low power demand systems (the serpentine belt) configuration
High Power Demand System (Power Take Off) Configurations
In service vehicles with high power demands, the generator can be driven by a power take off (PTO) module. In a vehicle, the engine produces power and transfers it to the wheels through the bell housing, transmission, drive shaft, differential and final axles. This condition can be better illustrated in a rear drive vehicle schematic as shown in Figure 3.4. In theory, it is possible to extract the mechanical power for the generator from 6 locations. However, PTO should allow RAPS to run directly from the engine when the vehicle is stopped. This option is possible if a PTO can be installed at a point between the engine and the transmission.
Figure 3.4 Possible power extraction (PTO Installation) points in the high power demand system configuration
In order to extract power at each of these points, a different PTO is needed. Generally, the required PTOs can be categorized into three main types;
- "Split Shaft PTO" : As shown in Figure 3.5, there are different designs and sizes for this kind of PTO. In Split Shaft PTOs, the input shaft runs two output shafts where one is a through shaft and the other is for power take off. Considering Figure 3.4, this type of PTO can be used in the following point:
Point 1: Shaft connecting engine to the bell housing
Point 2: Connecting the shaft of the bell housing of the transmission
Point 5: Driveline shaft (drive shaft)
Point 6: Any of the axles
Figure 3.5 "Split Shaft PTO"
It should be considered that in order to install the Split Shaft PTO, one of the power transferring shafts of the existing vehicle requires modification; also, for any of the considered points there should be enough space to install the PTO. Hence, from all the possible installation points for Split Shaft PTO. Point 5 is the most acceptable one. This location, however, does not allow the generator run directly from the engine when the vehicle is stationary. Some Split Shaft PTO could be an option; however, it requires driver action which may make this solution generally undesirable.
- "Side Countershaft PTO": These types of PTOs are most common, and normally, they are just referred to as PTO- without any prefix. As shown in Figure 3.6, these PTOs will be installed to the output of the transmission. In most service vehicles or heavy-duty vehicles there is a place to install these PTOs. Considering Figure 3.4, this type of PTO can be used in:
Point 4: Transmission output to the drive shaft
However, installing a PTO for generator power extraction at Point 4 has the same setback as Point 5 and may not be desirable.
Figure 3.6 "Side Countershaft PTO"
- "Transmission Aperture PTO": In most heavy-duty vehicles, especially service vehicles, the option for mechanical powering of extra devices has been allocated. In these cases, as shown in Figure 3.7, the vehicle transmission has a special place for installing a "Transmission Aperture PTO" to power up other devices. Considering Figure 3.4, this type of PTO can be used in:
Point 3: Transmission Aperture
Figure 3.7 "Transmission Aperture PTO"
There are different scenarios that should be considered for aall configurations:
I) Braking: It is expected that RAPS employs the waste energy during braking and maximizes the use of regenerative braking energy. The system will be considered to be in the regenerative braking phase if all the following conditions are true:
1. The vehicle is braking (braking signal is sent to the controller)
2. The vehicle speed is higher than a threshold (higher than 16 km/h based on suggestion)
3. The EES is not full (battery SOC level is lower than 100%)
For a low power demand system (serpentine belt) configuration during braking, in an automatic transmission, the torque converter still gets braking powers from the drives wheels to pass on the serpentine belt. However, in manual transmissions (or automatic transmissions at very low vehicle speeds) during braking, the clutch will disconnect the engine-belt from the transmission (or the torque converter does not pass the remaining braking energy.); thus, regenerative braking energy is just part of the kinematic energy in the crankshaft and moving inertia of the engine.
For the high power demand system (PTO) configuration, segments of the drive wheel braking powers, kinetic energy in the crankshaft, and moving inertia of engine during braking can be converted into the regenerative braking power. For this configuration, in manual transmissions during braking, the clutch will disconnect the engine from the transmission and other parts of the driveline. Therefore, if point 1 is considered as the RAPS connection point to vehicle drivetrain, regenerative braking energy will be just part of the kinetic energy in the crankshaft and moving inertia of the engine. Conversely, if any of points 3,4,5 and 6 is considered as the connection point, regenerative braking energy will be limited to part of the braking power from the drive wheels. It should be noted that in most vehicles targeted for high power demand configuration, the bell housing (clutch/torque-converter) is a part of transmission package since connection point 2 will have the same conditions as connection point 3 in most cases.
For the high power demand system (PTO) configuration in automatic transmissions, the bell housing will not disconnect any part of the vehicle powertrain during braking; thus, regenerative braking energy can be obtained from the drive wheel braking powers, kinetic energy in the crankshaft, and moving inertia of engine altogether. Additionally during very low vehicle speeds, the second condition of the regenerative braking phase is not satisfied; therefore, there will be no regenerative braking when that bell housing disconnects the engine from the other parts of vehicle powertrain.
II) Vehicle Movement: If regenerative braking energy is not sufficient to charge the batteries, the power management controller charges the batteries directly from the engine during peak engine performance. In this scenario, since the moving power is transferred from the engine all the way to the drive wheels, RAPS can extract the power in all of the aforementioned possible configurations.
III) Vehicle Stops: The RAPS target is to prevent the vehicle from idling; hence, while the vehicle is stopped, the engine ought not be active. During long stops, the auxiliary devices power consumption decreases the battery SOC to a critical level. In this condition, the system should allow a generator to be run directly from the engine when the vehicle is stopped. A serpentine belt configuration will work without any limitations in this scenario. For the PTO configurations, the power extraction point should be anywhere between the engine and the vehicle transmission, or the option of a PTO with a disconnecting clutch and driver action should be considered.
Given all of these scenarios, the "Transmission Aperture PTO" is the ideal and most cost effective solution for the realization of the RAPS in high power demand service vehicles.
As the system model will be used for the optimization process, the components' models should be generic, modular and flexible. The components' models need to be scalable so that the optimization method can determine their optimal sizes.
There are two modelling approaches that can be used:
a) Forward-looking: As shown in Figure 3.8, modelling and simulation starts from the driver's points of view. The driver's demanded power is sent to the powertrain components, and the resulting power that is available from the powertrain is fed to the final drive and wheels. This type of modelling is more realistic compared to the backward looking models.
Figure 3.8 General forward-looking vehicle model
b) Backward Looking: In this approach, the required power is determined based on the known drive cycle data. Illustrated in Figure 3.9, this power demand is then calculated and transferred through the powertrain components to the engine or another main power source. Through this process and using the components' efficiencies, the power needed in each component is calculated. In this approach, the detailed dynamics of the components and the vehicle system is not considered; however, this will crate less complicated models compared to the forward-looking models, which require solving differential equations.
Figure 3-9: General backward looking vehicle model
Based on the fact that in this study, only the overall power consumption of the vehicle is of interest, the effects of vehicle dynamics due to the suspension can be safely ignored even though the model is not as realistic as the forward-looking model. The backward-looking approach modeling is chosen for this work to fulfill the purpose of optimization. Simultaneously, the developed vehicle model formulation is suitable for the power consumption objectives. The total system model consists of powertrain components (engine, bell housing, transmission, differential) and RAPS components (batteries, power electronic, generator, auxiliary load). The goal of this research is to design and optimize a suitable regenerative braking system, which can be added to a service vehicle’s powertrain. As previously mentioned, the modifications to the vehicle powertrain should be kept to a minimum to make the changes affordable for the industrial purposes. Thus, there should not be any change to the configuration of the mechanical components of the vehicle. The powertrain components are modeled using the scalable backward-looking approach proposed by the Guzzella and Rizzoni . In this approach, the actual consumed power of a
component is calculated by multiplying the required component torque and component current velocity given the component’s efficiencies.
General Vehicle Model
In order to fulfill the need for a simple model for the backward-looking modeling approach, a simple vehicle body model is considered. This model only utilizes the drive torque, rolling resistance, and the resistive aerodynamic forces. The vehicle body model receives the demanded longitudinal velocity of vehicle (𝑉𝐷𝑒𝑠) and demanded longitudinal acceleration of vehicle (𝐴𝐷𝑒𝑠) as the input data. Based on these, the model calculates the torque (𝑇𝑊ℎ𝑒𝑒𝑙) and angular velocity (𝜔𝑊ℎ𝑒𝑒𝑙) at the wheels (or axles) as follows:
Wwheel = (Vdes)/(Reff)
Twheel = (Ftotal)x(Reff)
𝐹𝑇𝑜𝑡𝑎𝑙 = 𝐹𝐷𝑟𝑖𝑣𝑒 + 𝐹𝐷𝑟𝑎𝑔 + 𝐹𝑅𝑅
Fdrag = (1/2)(Cd)(𝜌)(Vdes)^2(A)
where 𝐹𝑇𝑜𝑡𝑎𝑙 , 𝐹𝐷𝑟𝑖𝑣𝑒 , 𝐹𝐷𝑟𝑎𝑔 , and 𝐹𝑅𝑅 represents total vehicle longitudinal force, drive force,
total aerodynamics drag force, and total tire rolling resistance force, respectively. 𝐶𝐷 is the drag coefficient, 𝜌 is the air density, 𝐴 is the frontal area of vehicle, 𝐶𝑅𝑅 is the rolling
resistance of the tire, 𝑔 is the gravitational acceleration, 𝛼 is the road grade angle in radian,
𝑅𝐸𝑓𝑓 is the effective tire radius, and 𝑀𝑇𝑜𝑡𝑎𝑙 is total vehicle mass, which is considered to be:
𝑀𝑇𝑜𝑡𝑎𝑙 = 𝑀𝑉𝑒ℎ + 𝑀𝐸𝐸𝑆 + 𝑀𝐶𝑎𝑟𝑔𝑜
where 𝑀𝑉𝑒ℎ is the vehicle mass before installing the EES packs or loading the cargo, 𝑀𝐶𝑎𝑟𝑔𝑜 is the cargo weight of the vehicle and 𝑀𝐸𝐸𝑆 is the mass of the electrical energy storage (EES) and other electrical parts. The total drive power demand (𝑃𝐷𝑟𝑖𝑣𝑒), the power needed to move the vehicle, is equal to:
𝑃𝐷𝑟𝑖𝑣𝑒 = 𝜔𝑊ℎ𝑒𝑒𝑙 𝑇𝑊ℎ𝑒𝑒𝑙 + 𝑃𝐿𝑜𝑠𝑡
in which 𝑃𝐿𝑜𝑠𝑡 is the lost power in the powertrain system.
Final Drive (Differential)
The demand torque and angular velocity at the wheels (or axles) are the inputs for the final drive. After applying the final drive ratio (𝑁𝐹), the demand torque (𝑇𝐷𝐿) and angular velocity (𝜔𝐷𝐿) at the driveline are calculated as:
𝜔𝐷𝐿 = 𝑁𝐹 𝜔 𝑊ℎ𝑒𝑒𝑙
Tdl = (Twheel)/(Nnr*nf)
where 𝜂𝐹 is the final drive efficiency.
The PTO consists of a set of gears that transfer the extracted mechanical power from the powertrain to the generator in the high power demand configuration. In order to keep the
model as simple as possible, the PTO is modeled by a gear ratio (𝑁𝑃𝑇𝑂) and an efficiency
factor (𝜂𝑃𝑇𝑂). The modeling formula for the PTO defines its output torque (𝑇𝑃𝑇𝑂−𝑂𝑢𝑡), which is equal to the generator torque in the high power demand configuration, and its output angular velocities (𝜔𝑃𝑇𝑂−𝑂𝑢𝑡) as:
|Tpto-out = (Tpto-in)/(Npto)npto*Cact-pto|
𝜔𝑃𝑇𝑂−𝑂𝑢𝑡 = 𝑁𝑃𝑇𝑂 𝜔𝑃𝑇𝑂−𝐼𝑛
in which 𝐶𝐴𝑐𝑡−𝑃𝑇𝑂 is the PTO activation control signal provided by the power management controller. In a high power demand configuration, the PTO is responsible for extracting the energy from the powertrain for the generator. This power extraction occurs in two general cases: i) Battery pack SOC decreases to a critical level where the power management controller decides to charge the battery pack (during the vehicle’s movement or stop); and ii) regenerative braking. In either of the two general cases, the PTO’s activation control signal will be one (active); otherwise this value will be zero (not active).
The power management controller, in general, controls the flow of power by monitoring the auxiliary power demand, battery state of the charge, vehicle status, brake pedal signal, and amount of power produced by the generator. Power management is considered as a higher level control algorithm that monitors the power flow between the vehicle powertrain, generator, and ESS as shown in Figure 3-10. The controller makes sure that the generator produces the maximum amount of power during regenerative braking to maximize the RAPS efficiency. In addition, the controller charges the batteries directly from the engine, during the peak engine performance, when the state of the charge is lower than a critical value.