CN107994562A - A kind of stability Design method of meter and the bavin storage type Vehicular power system of load characteristic - Google Patents

A kind of stability Design method of meter and the bavin storage type Vehicular power system of load characteristic Download PDF

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CN107994562A
CN107994562A CN201810038999.7A CN201810038999A CN107994562A CN 107994562 A CN107994562 A CN 107994562A CN 201810038999 A CN201810038999 A CN 201810038999A CN 107994562 A CN107994562 A CN 107994562A
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power
formula
load
storage type
power system
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CN107994562B (en
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徐海亮
赵仁德
马文忠
陈路明
高强
马晓军
魏曙光
廖自力
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China University of Petroleum East China
Academy of Armored Forces of PLA
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Academy of Armored Forces of PLA
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J1/00Circuit arrangements for dc mains or dc distribution networks
    • H02J1/10Parallel operation of dc sources
    • H02J1/102Parallel operation of dc sources being switching converters
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J1/00Circuit arrangements for dc mains or dc distribution networks
    • H02J1/10Parallel operation of dc sources
    • H02J1/12Parallel operation of dc generators with converters, e.g. with mercury-arc rectifier

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Charge And Discharge Circuits For Batteries Or The Like (AREA)

Abstract

The present invention discloses a kind of stability Design method of meter and the bavin storage type Vehicular power system of load characteristic, the Vehicular power system includes diesel generating set, storage battery group, dc bus, and converter plant, this method is the stability Design method of the Vehicular power system in the case where constant power load and resistive load coexist, fully meter and influences of the two class load characteristics to system stability, including three flows, one is to establish the average circuit model of bavin storage type Vehicular power system, estimating system scleronomic constraint condition;Two be to establish the power balance equation of bavin storage type Vehicular power system, estimating system power-balance condition;Three be the unified stability Design foundation that system is obtained according to one, two obtained scleronomic constraint conditions and power-balance condition.The foundation discloses the restriction relation between bearing power, voltage class, current protection threshold value, control parameter, is that those skilled in the art provide parts selection and parameter designing reference at the beginning of Vehicular power system designs.

Description

A kind of stability Design method of meter and the bavin storage type Vehicular power system of load characteristic
Technical field
Stability analysis and appraisal procedure the present invention relates to a kind of distributed power supply system, especially meter and load characteristic Bavin storage type Vehicular power system stability Design method.
Background technology
Diesel generating set (hereinafter referred to as " oil machine ") is as a kind of relatively reliable and stable power generation (power supply) system, in car Carry and be used widely in mobile power station (automobile power station).But since the rotary inertia of oil machine is smaller, to avoid load impact from dashing forward The fluctuation for the system terminal voltage that may cause hair is unloaded, energy storage device is usually used to as energy buffer, and coordinating with oil machine makes With composition bavin storage type Vehicular power system.Topology and control on bavin storage type Vehicular power system, have correlation and grind at present Study carefully.Patent of invention " a kind of military exchange mobile power station of bavin storage type and its electric energy quality control method (ZL201510689526.X) " A kind of topological structure in bavin storage type vehicle-mounted mobile power station is disclosed, analyzes shadow of the nonlinear load to power station output power quality Ring, it is proposed that improve the countermeasure of power quality;Patent of invention " a kind of vehicular DC micro power grid system and its control method (ZL201510958644.6) " a kind of DC micro-electric rack comprising including photovoltaic, diesel generating set, energy storage device is proposed Structure, and detailed design has been carried out to its grid-connected, off-grid operation control.
However, the studies above when being controlled system design to Vehicular power system, usually assumes that system is steady in itself Fixed, do not account for system unstability phenomenon and its Retraining Measures that load characteristic may trigger.In fact, in recent years, electrician The significant changes that journey field is presented are electric system " power electronics ", i.e., no matter power supply or load, usually all need To pass through the quadratic transformation of device for power switching, then access whole supply network.In terms of mains side angle, these loads show Typically " constant power load " (Constant Power Loads, CPLs) characteristic, and constant power load has " negative damping " spy Property, serious threat can be produced to the stability of whole electric system.Therefore, Vehicular power system just should be examined fully in place of design Loadtype, load characteristic are considered to the adverse effect of system stability, and the head using stability Design as overall system design Will and key content.At the same time, in the period of modern the latter is longer, constant power load and resistive load will deposit at the same time In, both accounting differences which can bring influence on Vehicular power system stability, there is no quantitative analysis at present.Therefore, deeply Study under constant power load, resistive load synchronization access, the stability Design method of bavin storage type Vehicular power system, for lifting Stability, the reliability level of such vehicle-mounted mobile power-supply system are of great significance.And this also be exactly the invention solves Key technical problem.
The content of the invention
In view of the deficiencies of the prior art, it is an object of the present invention to provide a kind of meter and the bavin storage type vehicle power supply of load characteristic The stability Design method of system, to improve operation of such power-supply system under constant power load, resistive load synchronously access Stability and reliability.
The purpose of the present invention is what is be achieved through the following technical solutions:
A kind of stability Design method of meter and the bavin storage type Vehicular power system of load characteristic, it is characterised in that described Vehicular power system include diesel generating set, storage battery group, dc bus, and converter plant;Wherein, the unsteady flow Device includes rectifier and DC/DC converters, and the diesel generating set is connected in parallel on described straight by the rectifier Flow on busbar, the storage battery group is connected in parallel on by the DC/DC converters on the dc bus;The stabilization Property design method include three flows, flow one is to establish the average circuit model of bavin storage type Vehicular power system, and estimates and be The scleronomic constraint condition I of system;Flow two is to establish the power balance equation of bavin storage type Vehicular power system, and estimating system is steady Determine constraints II;Flow three is scleronomic constraint condition I, II obtained according to flow one, flow two, obtains bavin storage type vehicle mounted electric Source system is to ensure that system stablizes the constraints that need to meet.
Further, the flow one is specially:
S1.1 establishes the average circuit model of bavin storage type Vehicular power system;Wherein, storage battery group and its DC/DC converters It is equivalent to voltage controlled current source Iout, diesel generating set and its rectifier are equivalent to current source Ig;Voltage controlled current source IoutWith current source IgUsing the form of being connected in parallel, wherein voltage controlled current source IoutExpression formula be specially:
In formula, UbatFor the positive and negative voltage across poles of storage battery group, UdcFor dc bus average voltage or DC/DC converter high pressures The average voltage of side, UrefFor dc bus command voltage, udcFor dc bus measurement voltage, uc1For pi controller mould Intend the terminal voltage of capacitance, R1、R2Respectively the prime artifical resistance of pi controller, rear class artifical resistance;G accumulates for ratio The output of sub-controller, and have
The current source IgExpression formula be:
In formulaRepresent the average value of dc bus leading-out terminal actual measurement load current;
S1.2 calculates the electric current I for flowing through dc-link capacitanceC, i.e.,:
In formula, C be dc-link capacitance capacitance, RLFor the equivalent resistance of resistive load, PCPLFor the work(of constant power load Rate;
S1.3 calculates the electric current for flowing through pi controller artificial capacitorI.e.:
In formula, C1For the capacitance of pi controller artificial capacitor;
S1.4 makes x1=udc, x2=uc1, simultaneous formula (1.1)~(1.5), obtain:
S1.5 sets system work Mr. Yu steady-state operation point X (X1, X2), it can be obtained by formula (1.6):
According to formula (1.7), the Jacobian matrix of computing system is:
The Jacobian matrix that S1.6 is obtained according to step S1.5, obtains the latent root equation of system:
In formula, λ represents characteristic root, and E represents unit matrix;
The latent root equation that S1.7 is obtained according to step S1.6, the characteristic root of solving system are:
In formula, Kp=R2/R1, for the proportionality coefficient of pi controller;τ=R1C1, for the product of pi controller Divide constant;RCPLFor the equivalent resistance of constant power load, and haveThe following table " 1,2 " of λ represents the sequence of characteristic root Number;
S1.8 then has since the value of τ in formula (1.10) is often Millisecond:
From formula (1.10) and (1.11), system has two complex roots;According to Liapunov stability analysis theories, To ensure that system is stablized, the real part of root is necessarily less than zero in formula (1.10), that is, has
Solution formula (1.12), obtains
Inequality shown in formula (1.13) is the scleronomic constraint condition I of system;In formula, YLFor the admittance of resistive load, and There is YL=1/RL;PCPLmax1The maximum power or the upper limit of the power of constant power load during to consider scleronomic constraint condition I.
Further, the flow two is specially:
S2.1 lists the power balance equation of system, i.e.,:
PCPL+PL<Ubat×ILmax+Udc×Ig (2.1)
I in formulaLmaxExpression flows through the maximum or rotection thresholds of DC/DC converter inductive currents, PLFor the work(of resistive load Rate, and have
S2.2 is calculated by inequality (2.1)
PCPL<Ubat×ILmax+Udc×Ig-PL=PCPLmax2 (2.2)
Formula (2.2) is to consider the stabilization that need to meet when bavin storage type Vehicular power system source, load end power-balance about Beam condition II;P in formulaCPLmax2The maximum power or Upper Bound Power of constant power load during to consider scleronomic constraint condition II;
Further, the flow three is specially:
Composite type (1.10) and (2.2), take the maximum power of the corresponding constant power load of scleronomic constraint condition I, II to express The intersection of formula, that is, have:
Min represents to take the smaller value in braces in two values in formula;PCPLmaxRepresent that two constraintss meet at the same time When constant power load maximum power, i.e. Upper Bound Power.
Further, stability enhancing approach includes four kinds:Increase the ratio of Voltage loop pi controller Coefficient, the grade for increasing DC bus-bar voltage, the power for increasing resistive load and the protection for increasing DC/DC converter inductive currents Threshold value.
Compared with prior art, the beneficial effects of the invention are as follows:
The present invention has taken into full account load characteristic pair during the stability Design of bavin storage type vehicle power supply power-supply system The influence of system stability, it is proposed that under constant power load and resistive load concurrent conditions, the stability Design foundation of system.Should According to being solved in terms of two, first, being based on Liapunov stability analysis theories, the stable constraint of solving system Condition, second, being based on energy conservation principle, solution meets source, the power constraints of load end power-balance.Above-mentioned two Condition takes intersection, is finally obtained the design considerations for meeting that system is stablized.The foundation can be those skilled in the art in vehicle mounted electric Parts selection and parameter designing reference are provided at the beginning of the system design of source.
Brief description of the drawings
Fig. 1 is the equivalent-circuit model figure of the bavin storage type Vehicular power system of the present invention;
Fig. 2 is the simulation circuit structure figure of the pi controller of the present invention;
Fig. 3 is the oscillogram obtained using the equivalent-circuit model and actual circuit model emulation of the present invention;
Fig. 4 is the maximum power of constant power load when only considering scleronomic constraint condition I with Proportional coefficient Kp, resistive load work( Rate PLChange trend curve figure;
Fig. 5 is the maximum power of constant power load when only considering scleronomic constraint condition II with Proportional coefficient Kp, resistive load Power PLChange trend curve figure;
Invariable power is born when Fig. 6 is considers the unified stability Design foundation of scleronomic constraint condition I, II, the i.e. present invention at the same time The maximum power of load is with Proportional coefficient Kp, resistive load power PLChange trend curve figure.
Embodiment
The invention will be further described with case study on implementation below in conjunction with the accompanying drawings.
The stability Design method of a kind of meter of the present invention and the bavin storage type Vehicular power system of load characteristic, the car Carrying power-supply system includes diesel generating set, storage battery group, dc bus, and converter plant;Wherein, converter plant includes: Diesel generating set side three-phase fully-controlled rectifier (referred to as " rectifier ") and the two-way non-isolation type DC/DC converters in storage battery group side (referred to as " DC/DC converters ");Further, the diesel generating set is connected in parallel on the dc bus by rectifier On, the storage battery group is connected in parallel on by DC/DC converters on the dc bus.
Diesel generating set rectification is to realize the self-starting of oil machine using the purpose of three-phase fully-controlled rectifier;Storage battery Group side converter using two-way non-isolation type DC/DC converters purpose be realize battery charging, discharge condition it is flexible Switching and control.Under normal mode of operation, rectifier works in current control (or power) control model, DC/DC converter works Make in voltage mode control.
The stability Design method of the meter of the present invention and the bavin storage type Vehicular power system of load characteristic, including three streams Journey, flow one are to establish the average circuit model of bavin storage type Vehicular power system, the scleronomic constraint condition I of estimating system;Flow Two be to establish the power balance equation of bavin storage type Vehicular power system, the scleronomic constraint condition II of estimating system;Flow three is root Scleronomic constraint condition I, II obtained according to flow one, flow two, obtains the unified stability Design foundation of system;
Further, the flow one is specially:
S1.1 is as shown in Figure 1, establish the average circuit model of bavin storage type Vehicular power system, I in figureinFor storage battery group The input current of output current or DC/DC converter low-pressure sides;Wherein, storage battery group and its DC/DC converters are equivalent to voltage Control current source Iout, diesel generating set and its rectifier are equivalent to current source Ig;Voltage controlled current source IoutWith current source Ig Using the form of being connected in parallel;
The average circuit model of bavin storage type Vehicular power system is using the equivalent foundation of aforesaid way:Diesel generating set Rotary inertia it is smaller, the instantaneity of power output is poor (or power step response speed is slow), is mainly responsible for needed for output loading Mean power, therefore current source IgOne is can be considered with the slowly varying amount of load average power;And storage battery group possesses wink When high-power fan-out capability, play a decisive role to the Large disturbance stability of system, therefore voltage controlled current source IoutIt can be considered one It is a with the fast-changing amount of busbar voltage fluctuation.
Wherein, the voltage controlled current source IoutExpression formula be specially:
In formula, UbatFor the positive and negative voltage across poles of storage battery group, UdcFor dc bus average voltage (or DC/DC converter high pressures The average voltage of side);As shown in Fig. 2, UrefFor dc bus command voltage, udcFor dc bus measurement voltage, uc1For ratio The terminal voltage of integral controller (PI controllers) artificial capacitor, R1、R2Respectively the prime artifical resistance of pi controller, Rear class artifical resistance;G is the output of pi controller, and has
Formula (1.1) is that DC/DC converter voltages ring is obtained using common pi controller, such as using other controls Expression formula will be different during device processed;At the same time it is noted that voltage controlled current source IoutActually and DC/DC is converted The on high-tension side output current of device.
The current source IgExpression formula be specially:
In formulaRepresent the average value of dc bus leading-out terminal actual measurement load current;
S1.2 calculates the electric current I for flowing through dc-link capacitanceC, i.e.,:
In formula, C be dc-link capacitance capacitance, RLFor the equivalent resistance of resistive load, PCPLFor the work(of constant power load Rate;
S1.3 calculates the electric current for flowing through pi controller artificial capacitorI.e.:
In formula, C1For the capacitance of pi controller artificial capacitor;
S1.4 makes x1=udc, x2=uc1, simultaneous formula (1.1)~(1.5), can obtain:
S1.5 sets system work Mr. Yu steady-state operation point X (X1, X2), then it can be obtained by formula (1.6):
According to formula (1.7), the Jacobian matrix of computing system is:
The Jacobian matrix that S1.6 is obtained according to step S1.5, obtains the latent root equation of system:
In formula, λ represents characteristic root, and E represents unit matrix;
The latent root equation that S1.7 is obtained according to step S1.6, the characteristic root of solving system are:
In formula, Kp=R2/R1, for the proportionality coefficient of pi controller;τ=R1C1, for the product of pi controller Divide constant;RCPLFor the equivalent resistance of constant power load, and haveThe following table " 1,2 " of λ represents the sequence of characteristic root Number, it is clear that the characteristic root of system has two.
The stability criteria I of S1.8 solving systems, is specially:
Since the value of τ in formula (1.10) is often Millisecond, then have:
From formula (1.10) and (1.11), system has two complex roots.According to Liapunov stability analysis theories, To ensure that system is stablized, the real part of root is necessarily less than zero in formula (1.10), that is, has
Solution formula (1.12), obtains
Inequality shown in formula (1.13) is the scleronomic constraint condition I of system;In formula, YLFor the admittance of resistive load, and There is YL=1/RL;PCPLmax1The maximum power (or upper limit of the power) of constant power load during to consider scleronomic constraint condition I;
From scleronomic constraint condition I, to ensure that system is stablized, the power of constant power load is necessarily less than some restriction Numerical value, i.e. PCPLmax1, and PCPLmax1Size and pi controller Proportional coefficient KpAnd the admittance Y of resistive loadLInto Positive correlation;In other words, the Proportional coefficient K of pi controller is suitably increasedp, or the admittance Y of increase resistive loadL, favorably In the ability that the stability or raising system of strengthening system are run with constant power load;
The flow two is specially:
S2.1 lists the power balance equation of system, i.e.,:
PCPL+PL<Ubat×ILmax+Udc×Ig (2.1)
I in formulaLmaxExpression flows through the current maxima or protection value of DC/DC converter inductance, PLFor the work(of resistive load Rate, and have
Inequality (2.1) left-half represents the sum of the power of constant power load and the power of resistive load, right half part Represent the sum of storage battery group output power and diesel generating set output power;
S2.2 is calculated by inequality (2.1)
PCPL<Ubat×ILmax+Udc×Ig-PL=PCPLmax2 (2.2)
Formula (2.2) is to consider the stabilization that need to meet when bavin storage type Vehicular power system source, load end power-balance about Beam condition II;P in formulaCPLmax2The maximum power (or Upper Bound Power) of constant power load during to consider scleronomic constraint condition II;
The flow three is specially:
Composite type (1.13) and (2.2), take the maximum power of the corresponding constant power load of scleronomic constraint condition I, II to express The intersection (or one relatively conservative in two constraintss) of formula, that is, have:
Min represents to take the smaller value in braces in two values in formula;PCPLmaxRepresent permanent during comprehensive two constraints The maximum power (Upper Bound Power) of power termination;Formula (3.1) is the unification for the bavin storage type Vehicular power system that the present invention provides Stability Design foundation.The Vehicular power system for meeting the foundation is stable in principle.
The stability Design is to ensure that system stablizes the constraint bar that need to meet according to bavin storage type Vehicular power system is given Part;According to the constraints, designer be easily calculated constant power load under available circuit parameter maximum power value (on Limit), and to improve the measure that the power maximum may be taken, such as the Proportional coefficient K of scaling up integral controllerp, increase Add resistive load power, increase the grade of DC bus-bar voltage, increase current maxima (or the protection of DC/DC converter inductance Threshold value) etc..Obviously, PCPLmaxIt is bigger, represent that ability of the system with constant power load is stronger, the stability of system is also better.
Fig. 3 is the emulation using the equivalent-circuit model and actual circuit model of the bavin storage type Vehicular power system of the present invention Wavy curve figure is run, I in figureloadFor total load current, with subscript " ' " variable correspond to the waveform of actual circuit model, no Take the waveform that target corresponds to average circuit model.Emulation is initial, and bearing power 200kW, 0.1s, 0.15s moment dashes forward respectively Add, the prominent 200kW that unloads is loaded.From simulation result as can be seen that the average circuit model that the present invention provides can be relatively accurately pre- Stable state, the dynamic behaviour of actual circuit system are surveyed, the average circuit model hypothesis of the present invention and the accuracy of modeling is illustrated, has Effect property.
Fig. 4 is the maximum power of constant power load when only considering scleronomic constraint condition I with Proportional coefficient Kp, resistive load work( Rate PLChange trend curve figure, wherein shadow region be system stable region.It can be seen from the figure that with proportionality coefficient With the increase of resistive load power, system allows the CPL power of access to be in increase tendency, and the effect of scaling up coefficient is more Substantially.
Fig. 5 is the maximum power of constant power load when only considering scleronomic constraint condition II with Proportional coefficient Kp, resistive load Power PLVariation tendency, wherein shadow region be system stable region.It can be seen from the figure that with resistive load power Increase, limited by DC/DC Converter Capacities, system allow access CPL power be in reduction trend.
Fig. 6 to consider scleronomic constraint condition I and power constraints II at the same time, i.e., the unified stability Design of the present invention according to According to when constant power load maximum power with Proportional coefficient Kp, resistive load power PLVariation tendency, wherein shadow region is is The stable region of system.As shown in the figure, after proportionality coefficient is higher than certain value (being 0.3 in this example), scleronomic constraint condition II Influence to system stable operation section becomes more prominent, continues scaling up coefficient, PCPLmaxIncrease amplitude do not show Write.
To sum up, the present invention proposes a kind of stability Design method of meter and the Vehicular power system of load characteristic, the party Method has taken into full account load characteristic to system stability during the stability Design of bavin storage type vehicle power supply power-supply system Influence, it is proposed that under constant power load and resistive load concurrent conditions, the stability Design foundation of system.The foundation is from two sides Face is solved, first, being based on Liapunov stability analysis theories, the stable constraint condition of solving system, second, being based on Energy conservation principle, solution meet source, the power constraints of load end power-balance.Above-mentioned two condition takes intersection, most The design considerations for meeting that system is stablized is obtained eventually.The foundation can be those skilled in the art at the beginning of Vehicular power system designs Parts selection and parameter designing reference are provided.

Claims (5)

1. a kind of stability Design method of meter and the bavin storage type Vehicular power system of load characteristic, it is characterised in that described Vehicular power system includes diesel generating set, storage battery group, dc bus, and converter plant;Wherein, unsteady flow dress Put and the direct current is connected in parallel on by the rectifier including rectifier and DC/DC converters, the diesel generating set On busbar, the storage battery group is connected in parallel on by the DC/DC converters on the dc bus;The stability Design method includes three flows, and flow one is to establish the average circuit model of bavin storage type Vehicular power system, and estimating system Scleronomic constraint condition I;Flow two is to establish the power balance equation of bavin storage type Vehicular power system, and the stabilization of estimating system Constraints II;Flow three is scleronomic constraint condition I, II obtained according to flow one, flow two, obtains bavin storage type vehicle power supply System is to ensure that system stablizes the constraints that need to meet.
2. the stability Design method of meter according to claim 1 and the bavin storage type Vehicular power system of load characteristic, institute The flow one stated is specially:
S1.1 establishes the average circuit model of bavin storage type Vehicular power system;Wherein, storage battery group and its DC/DC converters etc. Imitate as voltage controlled current source Iout, diesel generating set and its rectifier are equivalent to current source Ig;Voltage controlled current source Iout With current source IgUsing the form of being connected in parallel, wherein voltage controlled current source IoutExpression formula be specially:
In formula, UbatFor the positive and negative voltage across poles of storage battery group, UdcIt is on high-tension side for dc bus average voltage or DC/DC converters Average voltage, UrefFor dc bus command voltage, udcFor dc bus measurement voltage, uc1Electricity is simulated for pi controller The terminal voltage of appearance, R1、R2Respectively the prime artifical resistance of pi controller, rear class artifical resistance;G is proportional integration control The output of device processed, and have
The current source IgExpression formula be:
In formulaRepresent the average value of dc bus leading-out terminal actual measurement load current;
S1.2 calculates the electric current I for flowing through dc-link capacitanceC, i.e.,:
In formula, C be dc-link capacitance capacitance, RLFor the equivalent resistance of resistive load, PCPLFor the power of constant power load;
S1.3 calculates the electric current for flowing through pi controller artificial capacitorI.e.:
In formula, C1For the capacitance of pi controller artificial capacitor;
S1.4 makes x1=udc, x2=uc1, simultaneous formula (1.1)~(1.5), obtain:
S1.5 sets system work Mr. Yu steady-state operation point X (X1, X2), it can be obtained by formula (1.6):
According to formula (1.7), the Jacobian matrix of computing system is:
The Jacobian matrix that S1.6 is obtained according to step S1.5, obtains the latent root equation of system:
In formula, λ represents characteristic root, and E represents unit matrix;
The latent root equation that S1.7 is obtained according to step S1.6, the characteristic root of solving system are:
In formula, Kp=R2/R1, for the proportionality coefficient of pi controller;τ=R1C1, it is that the integration of pi controller is normal Number;RCPLFor the equivalent resistance of constant power load, and haveThe following table " 1,2 " of λ represents the sequence number of characteristic root.
S1.8 then has since the value of τ in formula (1.10) is often Millisecond:
From formula (1.10) and (1.11), system has two complex roots;It is true according to Liapunov stability analysis theories Insurance system is stablized, and the real part of root is necessarily less than zero in formula (1.10), that is, has
Solution formula (1.12), obtains
Inequality shown in formula (1.13) is the scleronomic constraint condition I of system;In formula, YLFor the admittance of resistive load, and there is YL= 1/RL;PCPLmax1The maximum power or the upper limit of the power of constant power load during to consider scleronomic constraint condition I.
3. the stability Design method of meter according to claim 1 or 2 and the bavin storage type Vehicular power system of load characteristic, The flow two is specially:
S2.1 lists the power balance equation of system, i.e.,:
PCPL+PL<Ubat×ILmax+Udc×Ig (2.1)
I in formulaLmaxExpression flows through the maximum or rotection thresholds of DC/DC converter inductive currents, PLFor the power of resistive load, And have
S2.2 is calculated by inequality (2.1)
PCPL<Ubat×ILmax+Udc×Ig-PL=PCPLmax2 (2.2)
Formula (2.2) is the scleronomic constraint bar for considering to meet when bavin storage type Vehicular power system source, load end power-balance Part II;P in formulaCPLmax2The maximum power or Upper Bound Power of constant power load during to consider scleronomic constraint condition II.
4. the stability Design method of meter according to claim 3 and the bavin storage type Vehicular power system of load characteristic, institute The flow three stated is specially:
Composite type (1.10) and (2.2), take the maximum power expression formula of the corresponding constant power load of scleronomic constraint condition I, II Intersection, that is, have:
Min represents to take the smaller value in braces in two values in formula;PCPLmaxRepresent permanent when two constraintss meet at the same time The maximum power of power termination, i.e. Upper Bound Power.
5. the stability Design method of meter according to claim 4 and the bavin storage type Vehicular power system of load characteristic, institute The stability enhancing approach stated includes four kinds:Increase proportionality coefficient, the increase dc bus electricity of Voltage loop pi controller The grade of pressure, the power for increasing resistive load and the rotection thresholds for increasing DC/DC converter inductive currents.
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CN112909915A (en) * 2019-12-04 2021-06-04 中车株洲电力机车研究所有限公司 Stability analysis method and system for direct-current voltage control system

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