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4. Бусько В.Л., Лобатый А.А., Русак Л.В. Анализ вероятностных характеристик дискретных систем с фазовым управлением // Доклады БГУИР, 2008 № 8 (38) с. 93-99.
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6. Синтез регуляторов систем автоматического управления / под ред. К.А. Пупков и Н.Д. Егупова. - М.: Издательство МГТУ им.
Н.Э. Баумана, 2004.-616 с.
7. Соболь И.М. Точки, равномерно заполняющие многомерный куб.-М.: Знание, 1985.- 32 с.
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UDC 621.002
structure development and simulation of plug-in hybrid electric vehicle
M.Sc. ALEHMARozKA, Associateprofessor YURYPETRENKo Belarusian National Technical University
Introduction
Electric-drive vehicles (EDVs) have gained attention, especially in the context of growing concerns about global warming and energy security aspects associated with road transport.
The main characteristic of EDVs is that the torque is supplied to the wheels by an electric motor that is powered either solely by a battery or in combination with an internal combustion engine (ICE). This covers hybrid electric vehicles (HEVs), battery electric vehicles (BEVs), and plug-in hybrid electric vehicles (PHEVs), but also photovoltaic electric vehicles (PVEVs) and fuelcell vehicles (FCVs). [1]
So we initiated research work with a view to assess the economic impacts,engineering constraints and user needs of a future market penetration of those car technologies, with a focus on PHEVs.
As a starting step, we reviewed the literature and prepared this paper which provides a summary description of the technology aspects, the current
state of the research and development in the field. It also elaborates consistent sets of data about the vehicle technologies in view of the subsequent modeling work to undertake the assessment. The paper also identifies a series of areas where more data and assessment are needed.
General definitions
Battery Electric Vehicles refer to vehicles propelled solely by electric motors. The source of power stems from the chemical energy stored in battery packs which can be recharged on the electricity grid. The future of such vehicles strongly depends on the battery developments (performance and cost).
Plug-in Hybrid Electric Vehicles refer to vehicles that can use, independently or not, fuel and electricity, both of them rechargeable from external sources. PHEVs can be seen as an intermediate technology between BEVs and HEVs. It can indeed be considered as either a BEV supplemented with an internal combustion engine (ICE) to increase the
Fig. 1. Simplified representation of HEV/PHEV configuration (dash line: series; full line: parallel).
driving range, or as a conventional HEV where the all-electric range is extended as a result of larger battery packs that can be recharged from the grid. As an example, the IEEE defines a PHEV as ‘’any hybrid electric vehicle which contains at least: (1) a battery storage system of 4 kWh or more, used to power the motion of the vehicle; (2) a means of recharging that battery system from an external source of electricity; and (3) an ability to drive at least ten miles in all-electric mode, and consume no gasoline. These are distinguished from hybrid cars mass-marketed today, which do not use any electricity from the grid.’’ [2]
Figure 1 provides an illustration of the HEV and PHEV configuration.
A large range of options are currently developed that vary in terms of power train architecture, energy mode management, battery type, that can influence the energy performance and costs.
Hybrid vehicles are generally classified as series hybrids andparallel hybrids. In a series hybrid vehicle, the engine drivesthe generator, which, in turn, powers the electric motor. In aparallel hybrid vehicle, the engine and the electric motor arecoupled to drive the vehicle. A series hybrid vehicle can offerlower fuel consumption in a city driving cycle by making theICE consistently operate at the highest efficiency point duringfrequent stops/
starts. A parallel hybrid vehicle can have lowerfuel consumption in the highway driving cycle, in which theICE is at the highest efficient point while the vehicle is runningat constant speed.
Hybrid vehicles are also divided into mildhybrids, power hybrids, and energy hybrids, according to therole performed by the engine and the electric motor and themission that the system is designed to achieve . A pluginhybrid vehicle can also be a series or parallel hybrid, with the batterybeing charged onboard the vehicle and being externally chargedby the utility grid, thus increasing the range when operating inpure electric mode.
Power electronics requirements The power switching devices, electric motors, and associatedcontrol systems and components play a key role in bringinghybrid and fuel-cell vehicles to market with reliability andaffordability. The power electronic system should be efficient toimprove the range of the electric vehicles and fuel economy inhybrid vehicles. The selection of power semiconductor devices,converters/inverters, control and switching strategies, the packagingof the individual units, and the system integration are verycru-cial to the development of efficient and high-per-formancevehicles. In addition to power devices and controllers, thereare several other components such as capacitors, inductors, busbars, thermal systems, etc., that form a major portion of a powerelectronic unit. The packaging of all these units as one sys-temhas significant challenges. The U.S. Department of Energy, theU.S. Navy, and other organizations have funded the developmentof power electronics building blocks (PEBBs) to developmodular power electronic systems that ranges from 10 kW toseveral megawatts of power. Fig. 2 shows a “Power ControlUnit” similarly functioning as a PEBB, which is mounted on aToyota Hybrid Synergy Drive II system and is composed of aninverter for the air conditioner, an inverter for the starter and thegenerator, an
Fig. 2. Power control unit inverter for the traction motor, a dc-dc converterfor the auxiliary battery, and a dc-dc bidirectional converter forthe high voltage battery. The goals of the U.S. Partnership for aNew Generation of Vehicles for power electronics and electricmachinery are quite challenging and are given in Table I.
Table 1. Technical Targets of Electric Machines (a) and Power Electronics (b)
(Including Active Materials, Motor Gears and Housing)
О)
Characteristics
Peak Power to Weight Ratio [kW/kg] >1.3
Peak Power to Volume Ratio [kW/liter] >5
Cost/Peak [$/kW] <7
Efficiency (@10% to 100% of max. speed) >93
Nominal Voltage [V] 325
Maximum Current [Arms] 400
(b)
Characteristics
Peak Power to Weight Ratio [kW/kg] >12
Peak Power to Volume Ratio [kW/liter] >12
Cost [$/kW] <5
Efficiency [%] 97
Coolant Inlet Temperature [0C] 105
Lifetime [years] 15
(Toyota Hybrid Synergy II).
To meet the requirements of the automotive environment,several technical challenges need to be overcome, and newdevelopments are necessary, from the device level to thesystem level. [3,4]
A. Development and Research on Switches
forHigh-Switching-Frequency,_______High-Power,
andHigh-Temperature Applications
In [5] a liquid-cooled soft-switch module has been developed. The module integratesmain IGBTs, MOSFETs, auxiliary IGBTs, and diodes with a capability of 400-A continuous current operation. The integration of these chips allows significant parasitic inductance and thermal resistance reduction. Using such a highly integrated liquid-cooled soft-switch module, a 55-kW three-phase soft-switching inverter was designed and assembled. The inverter efficiency was evaluated under both inductive load and motor-dynamometer load tests with coolant temperatures ranging from 25 °C to 90 °C. A double-chamber differential calorimeter was introduced for precision inverter efficiency measurement. The soft-switching inverter was successfully operated at various temperature and test conditions. The power meter measurementfrom 20% to 100% output consistently
Fig. 3. Circuit Diagram of three-phase soft-switching-module-based inverter.
shows efficiency higher than 98% under different temperature conditions, and the peak efficiency with calorimeter measurement exceeds 99%.
The three-phase soft-switching inverter consisted of three identical soft-switching modules, which are shown in shaded area in Fig. 3. S1 to S6 are the hybrid main switches composed of paralleled IGBT and MOSFET devices. Sx1 to Sx6 are auxiliary IGBT switches. In each module, there are also four auxiliary diodes. All the devices have the voltage rating of 600 V. Lr1 to Lr6 are coupled magnetics with turns ratio of 1 : 1.35. C1 to C6 are resonant capacitors with a value of 100 nF
B. Energy Storage System Technologies
Power electronics have revolutionized motor drives, bringing within the realm of possibility electric drive-trains with extremely high
performance. The motors themselves have been improved, offering higher reliability and better performance with reduced cost. Unfortunately, the weak link in the electric drivetrain development chain remains-energy storage. There are some advancements in energy storage device development which offer good promise in terms of energy density and power density, but none has the desired combination of all the following features: fast charging/discharging (high power density), large storage capacity (high energy density), low cost, and long life.
There are many potential methods of pairing a battery and ultra-capacitors (UC). Researchers [6] have considered a direct parallel connection of the two sources (Fig. 4a). Thissetup keeps the same voltage over both sources, which in turn limits the power delivered from the UC.
Fig. 4. Topology of the (a) passive parallel connection, (b) bidirectional dc/dc converter, (c) two-input bidirectional dc/dc converter.
Alternatively, a bidirectional dc/dc converter placed between the batteries and the UCs may be used (Fig. 4b). Buck-boost 1 controls the current output of the battery, whilethe UC supplies the remaining power requirement to the load. This system allows decoupling of the battery and UC voltages. However, there is a large voltage swing on the input to Buck-Boost 2, which reduces efficiency due to larger IR losses at low UC voltages.
Finally, some researchers [6], [7] have looked at using a two-input bidirectional dc/ dc converter (Fig. 4c). This gives the highest flexibility and provides the same functionalityas the bidirectional dc/dc converter. The two-input bidirectional converter topology is superior from both a stability and efficiency point of view due to the decoupling of the powersupplying paths. The stability is also improved since a failure of one source still allows the operation of the other.
Since no existing device is able to achieve all of the requirements of various vehicular applications, the concept of combining devices to obtain their best traits is considered.
D. Fault-Tolerant Topology
In [8] authors have reviewed the fault tolerant three-phase ac motor drive topologies that have been presented in the literature. An approach based on the fundamental inverter output space in terms of axis limits has been adopted as a basis to identify the potential performance limits of each of the topologies. From these limits, a fault power rating factor(FPRF) has been defined which normalizes the faulted system capacity to a standard three-phase inverter during normal unfaulted operation.
max. kVA output of std. unt'aulted inverter'
To compare the relative cost of adding the fault tolerant capacity in each of the topologies, this paper has defined a SOCF which relates each circuit’s weighted switch capacity to that of a standard three-phase inverter.
^ kVA rating of standard inverter switches
After review of the alternative topologies and control methods makes it clear that there is significant cost associated with providing fault tolerant operation. All of the topologies require additional components in the form of silicon switches and/or fuses to provide this capacity in the presence of a fault that would otherwise not be present in a standard three-phase inverter drive.
Among the topologies and faults considered, key results include the following.
1) The switch-redundant topology provides the full post-fault current rating for both a singleswitch short or single switch open fault at a modest cost increase (approximately 50%) and is a good candidate provided the midpoint of the dc link is available for use. Furthermore, this topology can be adapted to accommodate open phase faults with an additional TRIAC.
2) The double switch-redundant topology with a four terminal motor is fault tolerant to all four inverterfaults considered: Single switch short-circuit, phase-leg short-circuit, single switch open-circuit, and single-phase open-circuit. It has a postfault kVA delivery factor (FPRF) of 0.58.
3) The phase-redundant topology with a three terminal motor is fault tolerant to all four of the considered faults and has a FPRF value of 1.0. This superior solution also has the highest component cost of any fault tolerant topology at 233% of that of a standard inverter.
4) The use of single-phase units or cascaded inverters has the smallest cost penalty factor (SOCF) at 115% of the cost of a standard inverter but only provides fault tolerance to open phase faults. With the addition of TRIAC in each phase, this system is fault tolerant to single switch open, and short faults, and single-phase open-circuits. This increases the SOCF cost factor to 144% for a FPRF value of 0.58.
5) Four-leg inverters provide fault tolerance only to open phase or open switch faults at a
relatively high cost.
In conclusion, a careful assessment of the likelihood of each type of fault and the required post-fault capacity is necessary to determine which topology is best suited for each application.
E. Robust Sensorless Control and Low-CostHigh-Temperature Magnets of Electric Propulsion Machine
Hybrid Vehicle Control System: The Hybrid Vehicle Control Unit (HV ECU) optimizes the power output and the torque of driving forces to reduce the fuel consumption and the pollutant of the exhaust gas. The optimal required driving power of the Internal Combustion Engine (ICE), motor-generators MG1 and MG2 is based on its inputs signals which are the gas pedal position, rotation speed of the drive shaft and gear shift lever position. Also the state of charge (SOC) of the battery pack and the temperature of the motorgenerators have influence on the optimal driving power. Figure 5 shows a schematic diagram of the communication between the HV ECU and the other Hybrid Synergy Drive (HSD) devices. [9]
Induction Motor Dynamic Model:
(Vtp) rf-axi s (<j-axis) stator vol tages,
Wiq*) d-axis (tf-axis) stator currents,
A(k(A(ir) rf-axis (ij-axis) rotor flux linkages.
Л.(Л() L*(L r)
£4э(шг)
О
uii)
D
Stator (rotor) resistance.
Stator (rotor) inductance. Magnetizing inductance. Leakage inductance (L„ —
= l9-l2jl^
Stator (rotor) clcctrical speed. Rotor speed (^v/p).
Slip frequency, = j/e — j/r. Motor damping ratio.
Pblc-pair number
- ik _ La
RrLm
кк =
&2
Ex.
Lr
- RrL,
LiL,
k6=^..kt = +
k3 kt
— L,
IpM
Generally, dynamic modeling of an induction motor drive is based on rotating reference-frame theory and a linear technique. This motor drive consists of an induction motor, a bang-bang current-controlled pulse-width modulated inverter, a field-orientationmechanism, a coordinate translator and a speed controller. The electrical dynamics of an induction motor in the synchronously rotating reference frame (d-q axis) can be expressed by equations:
d,
dt
' ¿da '
îqa
-h
—it^e k4 0
•jje
—hi
0
fc4
*2 4*1
— —^5 -I
k2
-Utikÿ
-A*
' *ds ‘
îqe
A(Jr
- Aqr .
Fig.5. Diagram of the HSD communication system.
In paper[10] the permanent magnets brushless (PM BL) drives for EVs and HEVs has been presented, with emphasis on machine topologies, drive operations, and control strategies. Then, three emerging research directions of the PM BL drive systems have been identified and discussed, namely, the magnetic-geared PM BL drive system for EVs, the PM BL ISG (integrated starter-generator) system for micro- and
1
Fig. 6. Integrated PM BL EVT system.
mild HEVs, and the PM BL EVT (electric variable transmission) system for full HEVs. It is anticipated that the “totally brushless” configuration of the PM BL EVT systems will be a major research direction in thefield of HEVs.
Modeling
MATLAB is widely used in academic and research institutions as well as industrial enterprises for complex systems simulation [11]. Mathematical model of PHEV was created on the base of official Matlab example [12,13]. Developed model shows a multi-domain simulation of a PHEV power train based on SimPowerSystems and SimDriveline. The PHEV power train is of the series-parallel type (split type), such as the one found in the Toyota Prius car. This PHEV has two kinds of motive power sources: an electric motor and an internal combustion engine (ICE), in order to increase the drive train efficiency and reduce air pollution. It combines the advantages of the electric motor drive (no pollution and high available power at low speed) and the advantages of an internal combustion engine (high dynamic performance and low pollution at high speeds).
The Electrical Subsystem is composed of five parts: The electrical motor, the generator, the battery, the electricity grid connector and the DC/ DC converter.
The electrical motor is a 500 Vdc, 50 kW interior Permanent Magnet Synchronous Machine (PMSM) with the associated drive (based on AC6 blocks of the SimPowerSystems Electric Drives library).
This motor has 8 pole and the magnets are buried (salient rotor’s type). A flux weakening vector control is used to achieve a maximum motor speed of 6 000 rpm.
The generator is a 500 Vdc, 2 pole, 30 kW PMSM with the associated drive (based on AC6 blocks of the SimPowerSystems Electric Drives library). A vector control is used to achieve a maximum motor speed of 13000 rpm.
The battery is a 6.5 Ah, 200 Vdc, 21 kW Nickel-Metal-Hydride battery.
The DC/DC converter (boost type) is voltage-regulated. The DC/DC converter adapts the low voltage of the battery (200 V) to the DC bus which feeds the AC motor at a voltage of 500 V.
The Planetary Differential models the power split device. It uses a double planetary device, which transmits the mechanical motive force from the engine, the motor and the generator by allocating and combining them. [14]
The Internal Combustion Engine (ICE) subsystem models a 73 kW @ 5200 rpm gasoline fuel engine with speed governor. The throttle input signal lies between zero and one and specifies the torque demanded from the engine as a fraction of the maximum possible torque. This signal also indirectly controls the engine speed. The engine model does not include air-fuel combustion dynamics.
The Vehicle Dynamics subsystem models all the mechanical parts of the vehicle:
- The single reduction gear reduces the motor’s speed and increases the torque.
- The differential splits the input torque in two equal torques for wheels.
- The tires dynamics represent the force applied to the ground.
- The vehicle dynamics represent the motion influence on the overall system.
- The viscous friction models all the losses of the mechanical system.
The Energy Management Subsystem (EMS) determines the reference signals for the electric motor drive, the electric generator and the internal
combustion engine in order to distribute accurately the power from these three sources. These signals are calculated using mainly the position of the accelerator, which is between -100% and 100%, and the measured PHEV speed. Note that a negative accelerator position represents a positive brake position.
The Battery management system maintains the State-Of-Charge (SOC) between 40 and 80% and “to electricity grid” connection. It prevents against voltage collapse by controlling the power required from the battery. [15]
The Hybrid Management System controls the reference power of the electrical motor by splitting the power demand as a function of the available power of the battery and the generator. The required generator power is achieved by controlling the generator torque and the ICE speed. [16]
There are five main scopes in the model:
- The scope in the Main System named Car shows the accelerator position, the car speed, the drive torque and the power flow.
- The scope in the Drive Electrical Subsystem named PMSM Motor shows the results for the motor drive. You can observe the stator currents ia, the rotor speed and the motor torque (electromagnetic and reference).
- The scope in the Electrical Subsystem named PMSM Generator shows the results for the generator drive. You can observe the stator
currents ia, the rotor speed and the motor torque (electromagnetic and reference).
- The scope in the Electrical Subsystem/ Electrical measurements shows the voltages (DC/DC converter, DC bus and battery), the currents (motor, generator and battery) and the battery SOC.
- The scope in the Energy Management Subsystem/Power Management System shows the power references applied to the electrical components.
The general view of the model is shown on Figure 6: Main System, Electrical Subsystem named Motor PMSM, Electrical Subsystem named PMSM Generator DriveElectrical Subsystem/Electrical measurements
Mathematical model of PHEV was developed on the base of MatlabSimulink with the main scopes: Main System, Electrical Subsystem
named Motor,Electrical Subsystem, Generator DriveElectrical Subsystem and DataMeasurements and Acquisition Subsystem.
User satisfaction criteria Performances include maximal vehicle velocity, acceleration performances and gradeability. They can be evaluated by simulation in Matlab by following standard approaches described in classical vehicle theory [17, 18].
Maximum speed is evaluated when solving equilibrium equation between propulsion
Fig. 6. Matlab based PHEV model.
power and dissipated power by resistance forces (rolling resistance, aerodynamic resistance...)
= C0v - L'jV2 - c2v2 (1)
Where© is engine speed while v is the vehicle ground speed, n is the transmission efficiency, c0, cl, c2 - coefficients of a general expression of the driving resistance forces.
Acceleration time (from V1 to V2 kph) can be evaluated by solving integration of equation of motion of the vehicle
Where meff is the equivalent or effective mass and Fnet , the net force between propulsion force and driving resistance forces.
Gradeability: is estimated by solving the equation limiting the propulsion force that can be transmitted to the ground while taking care of mass transfer during climbing in steady sate motion:
Wf and Wr are respectively the front and rear weight under front or rear wheels.
conclusion
Internal Combustion Engine (ICE) Vehicles need a major change to significantly improve the fuel economy and reduce the emissions. Electric vehicles (EVs) and hybrid EVs (HEVs) havebeen identified to be the most viable solutions to deal with theproblems of ICEfundamentally.Electric drives are the core technology for EVs and HEVs. Among different types of electric drives, there are two major emerging research directions - PM BL
and Induction Motor drive systems. They have been identified and discussed in the paper.
The Energy Management Subsystem (EMS) determines the reference signals for the electric motor drive, the electric generator, the internal combustion engine and battery in order to distribute the power from these sources. Mathematical model of PHEV was developed on the base of Matlab/ Simulink with the main scopes: 1) Car - shows the accelerator position, the car speed, the drive torque and the power flow; 2)PMSM Motor and PMSM Generator - for stator currents ia, rotor speeds and motors torque; 3) Electrical measurements - for the voltages (DC/DC converter, DC bus and battery), the currents (motor, generator and battery) and the battery SOC; 4) Power Management - shows the power references applied to the electrical components.
LITERATURE
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