CN110516327A - A method of judging more power interface numerical model analysis analogue system stability - Google Patents
A method of judging more power interface numerical model analysis analogue system stability Download PDFInfo
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Abstract
The invention discloses a kind of methods for judging more power interface numerical model analysis analogue system stability, it is related to power-type Hybrid Real-Time Simulator field, by to each Digital Simulation subsystem, physical simulation subsystem and power interface establish time-domain equivalent mathematical model respectively, and the time-domain equivalent mathematical model of more power interface numerical model analysis analogue systems is formed according to these time-domain equivalent mathematical models, after being transformed to Frequency Domain Mathematical Model from time domain using Laplace transform, solve the characteristic equation of more power interface numerical model analysis analogue systems, and characteristic root is solved according to characteristic equation, the case where passing through characteristic root judges the stability of more power interface numerical model analysis analogue systems, it solves the problems, such as to lack at present and judges more power interface numerical model analysis analogue system stability, without being accounted for respectively to each interface, because of the method reality It is more convenient to apply, and realizes to the design of more power interface numerical model analysis analogue systems and improves application with important directive significance.
Description
Technical field
The present invention relates to power-type Hybrid Real-Time Simulator field more particularly to a kind of more power interface numbers of judgement
The method of mould hybrid simulation system stability.
Background technique
Although numerical model analysis emulation technology has received widespread attention and studies, and many power-type numerical model analysis emulate
System has all successfully been built and has been run, but these systems usually only include a power interface, this allow for its application by
To many restrictions, can only by original system to be emulated, decoupling elements are decoupled at a node or at by one, be divided into one
A number simulation subsystem and a physical simulation subsystem.And more power interface numerical model analysis analogue systems can then choose it is more
A system decoupling node, carries out signal and power interaction by multiple power interfaces, and original system is resolved into multiple numbers and object
Simulation subsystem is managed, Digital Simulation and physical analogy is carried out respectively, electric system scale can be better adapted to and go from strength to strength, join
It is development trend even closer, that the method for operation is complicated and changeable.
System stabilization is to carry out the precondition of numerical model analysis emulation.Numerical model analysis analogue system is by Digital Simulation subsystem
System, physical simulation subsystem and system interface three parts composition.Due to the introducing of system interface, digital-to-analogue mixes analogue system and exists
Be different from original system to be emulated in structure, original system can stable operation do not ensure that the stabilization of numerical model analysis analogue system
Operation, therefore before implementing numerical model analysis emulation, it is necessary to the stability of system is analyzed.
Existing numerical model analysis analogue system stability judging method is substantially emulated in single power interface numerical model analysis
Obtained on the basis of system modeling analysis, conclusion be mostly need to meet Digital Simulation subsystem equivalent impedance be less than physics
Simulation subsystem just can guarantee hybrid simulation system stable operation, the situation for more power interface numerical model analysis analogue systems
It will become complicated very much, therefore existing numerical model analysis analogue system stability judging method is not able to satisfy more power interface numbers
The demand of mould hybrid simulation system, it is necessary to be analyzed and researched for the case where more power interfaces and obtain corresponding stabilization
Property judgment method.
Summary of the invention
The purpose of the present invention is to provide a kind of method for judging more power interface numerical model analysis analogue system stability, from
And overcome the problem of existing shortage judges more power interface numerical model analysis analogue system stability.
To achieve the above object, more power interface numerical model analysis analogue system stability are judged the present invention provides a kind of
Method, comprising the following steps:
Step 1 establishes time-domain equivalent mathematical model to each Digital Simulation subsystem and each physical simulation subsystem respectively；
Step 2 establishes time-domain equivalent mathematical model to each power interface；
Step 3, the time-domain equivalent mathematical model according to Digital Simulation subsystem, physical simulation subsystem and power interface,
Obtain the time-domain equivalent mathematical model of more power interface numerical model analysis analogue systems；
Step 4, by Laplace transform by the time-domain equivalent mathematics of more power interface numerical model analysis analogue systems
Model is transformed to Frequency Domain Mathematical Model, and obtains the characteristic equation of more power interface numerical model analysis analogue systems；
Step 5 solves to obtain more power interfaces according to the characteristic equation of more power interface numerical model analysis analogue systems
The characteristic root of numerical model analysis analogue system judges the stabilization of more power interface numerical model analysis analogue systems by the characteristic root
Property.
Further, the judgment method in the step 5 are as follows: if the real part of all characteristic roots, which is respectively less than, is equal to zero,
More power interface numerical model analysis analogue systems are stablized；The real part of characteristic root is greater than zero if it exists, then more power interface numerical model analysis
Analogue system is unstable.
Further, more power interface numerical model analysis analogue systems include: one or more Digital Simulation subsystems, 1
A or multiple physical simulation subsystems and one or more power interfaces, the Digital Simulation subsystem pass through one or more function
Rate interface is connected with physical simulation subsystem.
Further, in the step 1, if the Digital Simulation subsystem is imitative by a power interface and physics
True subsystem is connected, then equivalent at concatenated ideal voltage source and equivalent using the Digital Simulation subsystem of single power interface
The time-domain equivalent mathematical model of impedance, the Digital Simulation subsystem using single power interface indicates are as follows:
ed(t)=zd[id(t)+ydud(t)]+ud(t) (1)
In formula (1), edIt (t) is Digital Simulation subsystem equivalent voltage source, idIt (t) is digital side interface controlled current source electricity
Stream, udIt (t) is digital side interface voltage, ydFor digital side interface admittance, zdFor Digital Simulation subsystem equivalent impedance；
If the Digital Simulation subsystem is connected by multiple power interfaces with physical simulation subsystem, use
The equivalent Cheng Hanyuan multiport system of the Digital Simulation subsystem of multiple power interfaces, the number using multiple power interfaces are imitative
The time-domain equivalent mathematical model of true subsystem indicates are as follows:
Further, as a whole by the Digital Simulation subsystem using multiple power interfaces, then the number
Word simulation subsystem time-domain equivalent mathematical model is unified are as follows:
Ed(t)=ZdId(t)+(ZdYd+I)Ud(t) (3)
In formula (3), EdIt (t) is Digital Simulation subsystem equivalent voltage source column vector, ZdFor the equivalent resistance of Digital Simulation subsystem
Anti- matrix, IdIt (t) is digital side interface controlled current source electric current column vector, YdFor digital side interface admittance matrix, I is unit pair
Angular moment battle array, UdIt (t) is digital side interface voltage column vector.
Further, in the step 1, if the physical simulation subsystem passes through a power interface and Digital Simulation
System is connected, then equivalent at concatenated ideal voltage source and equivalent resistance using the physical simulation subsystem of single power interface
Anti-, the time-domain equivalent mathematical model of the physical simulation subsystem of the single power interface indicates are as follows:
up(t)=zpip(t)+ep(t) (4)
In formula (4), upIt (t) is physical side interface voltage, zpFor physical simulation subsystem equivalent impedance, ipIt (t) is physical side
Interface current, epIt (t) is physical simulation subsystem equivalent voltage source；
If the physical simulation subsystem is connected by multiple interfaces with Digital Simulation subsystem, multiple power are used
The equivalent Cheng Hanyuan multiport system of the physical simulation subsystem of interface, the physical simulation subsystem using multiple power interfaces
Time-domain equivalent mathematical model indicate are as follows:
Further, as a whole by the physical simulation subsystem using multiple power interfaces, then time domain etc.
Imitate mathematical model unified representation are as follows:
Up(t)=ZpIp(t)+Ep(t) (6)
In formula (6), UpIt (t) is physical side interface voltage column vector, ZpFor physical simulation subsystem equivalent impedance matrix, Ip
It (t) is physical side interface current column vector, EpIt (t) is physical simulation subsystem equivalent voltage source column vector.
Further, each power interface using interface algorithm to more power interface numerical model analysis analogue systems into
Row decoupling, obtains digital side interface and physics side interface, and the number side interface is equivalent at promise equivalent circuit, the physical side
Interface is equivalent at controlled voltage source, and the power interface includes forward path and feedback channel.
Further, the interface algorithm includes: that ideal transformer modelling, time-varying first approximation method, partial circuit are multiple
Preparation method and damped impedance method.
Further, for the single power interface, time domain equivalent mathematical model is indicated are as follows:
up(t)=f (t) * ud(t-τ1)
id(t)=α ip(t-τ2)+βup(t-τ2) (7)
In formula (7), f (t) indicates the characteristic of physics side interface physical device, and α and β take different according to distinct interface algorithm
Value, τ1And τ2The respectively delay of forward path and feedback channel；
As a whole by each power interface, the power interface indicates are as follows:
Up(t)=F (t) * Ud(t-τ1)
Id(t)=AIp(t-τ2)+BUp(t-τ2) (8)
In formula (8), F (t) is diagonal matrix composed by each interface f (t), and A and B are respectively each interface α and β value institute group
At diagonal matrix.
Compared with prior art, the invention has the following beneficial effects: a kind of more power of judgement provided by the present invention
The method of interface digital-to-analogue hybrid simulation system stability, by each Digital Simulation subsystem, physical simulation subsystem and power
Interface establishes time-domain equivalent mathematical model respectively, and forms more power interface numerical model analysis according to these time-domain equivalent mathematical models
The time-domain equivalent mathematical model of analogue system after being transformed to Frequency Domain Mathematical Model from time domain using Laplace transform, solves more
The characteristic equation of power interface numerical model analysis analogue system, and characteristic root, the case where passing through characteristic root, are solved according to characteristic equation
The stability for judging more power interface numerical model analysis analogue systems solves shortage at present and judges that more power interface numerical model analysis are imitative
The problem of true system stability, without being accounted for respectively to each interface, because the method implementation is more convenient, to more power
The design of interface digital-to-analogue hybrid simulation system is realized and improves application with important directive significance.
Detailed description of the invention
It, below will be to attached drawing needed in embodiment description in order to illustrate more clearly of technical solution of the present invention
It is briefly described, it should be apparent that, the accompanying drawings in the following description is only one embodiment of the present of invention, general for this field
For logical technical staff, without creative efforts, it is also possible to obtain other drawings based on these drawings.
Fig. 1 is the structure principle chart of single digital list physics numerical model analysis analogue system of the invention；
Fig. 2 is the structure principle chart of multiple digital list physics numerical model analysis analogue system of the invention；
Fig. 3 is the structure principle chart of the more physics numerical model analysis analogue systems of single digital of the invention；
Fig. 4 is the structure principle chart of the more physics numerical model analysis analogue systems of multiple digital of the invention；
Fig. 5 is numerical model analysis analogue system interface algorithm equivalent model of the invention；
Fig. 6 is a kind of flow chart for the method for judging more power interface numerical model analysis analogue system stability of the present invention；
Fig. 7 is a kind of structure principle chart of more power interface numerical model analysis analogue systems provided in an embodiment of the present invention.
Specific embodiment
With reference to the attached drawing in the embodiment of the present invention, the technical solution in the present invention is clearly and completely described,
Obviously, described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.Based in the present invention
Embodiment, those of ordinary skill in the art's every other embodiment obtained without creative labor,
It shall fall within the protection scope of the present invention.
More power interface numerical model analysis analogue systems include several Digital Simulation subsystems, several physical simulation subsystems
System and multiple power interfaces, Digital Simulation subsystem are connected by multiple power interfaces with physical simulation subsystem.According to
Digital Simulation subsystem, physical simulation subsystem and power interface connection type and the difference for configuring quantity, more power interface numbers
It is more that mould hybrid simulation system is divided into single digital physical system, multiple digital list physical system, the more physical systems of single digital and multiple digital
The structure principle chart of physical system, single digital list physics numerical model analysis analogue system is as shown in Figure 1；Multiple digital list physics digital-to-analogue is mixed
The structure principle chart for closing analogue system is as shown in Figure 2；Structure principle chart such as Fig. 3 of the more physics numerical model analysis analogue systems of single digital
It is shown；The structure principle chart of the more physics numerical model analysis analogue systems of multiple digital is as shown in Figure 4.
As shown in fig. 6, the method packet of the more power interface numerical model analysis analogue system stability of judgement provided by the present invention
Include following steps:
Step 1 establishes time-domain equivalent mathematical model to each Digital Simulation subsystem and each physical simulation subsystem respectively.
If Digital Simulation subsystem is connected by a power interface with physical simulation subsystem, single function is used
The Digital Simulation subsystem of rate interface is equivalent at concatenated ideal voltage source and equivalent impedance, using the number of single power interface
The time-domain equivalent mathematical model of simulation subsystem indicates are as follows:
ed(t)=zd[id(t)+ydud(t)]+ud(t) (1)
In formula (1), edIt (t) is Digital Simulation subsystem equivalent voltage source, idIt (t) is digital side interface controlled current source electricity
Stream, udIt (t) is digital side interface voltage, ydFor digital side interface admittance, zdFor Digital Simulation subsystem equivalent impedance；
If Digital Simulation subsystem is connected by multiple power interfaces with physical simulation subsystem, multiple function are used
The Digital Simulation subsystem of rate interface equivalent Cheng Hanyuan multiport system, using the Digital Simulation subsystem of multiple power interfaces
Time-domain equivalent mathematical model indicates are as follows:
By using the Digital Simulation subsystem of multiple power interfaces as a whole, then the time domain of Digital Simulation subsystem
Equivalent mathematical model unified representation are as follows:
Ed(t)=ZdId(t)+(ZdYd+I)Ud(t) (3)
In formula (3), EdIt (t) is Digital Simulation subsystem equivalent voltage source column vector, ZdFor the equivalent resistance of Digital Simulation subsystem
Anti- matrix, IdIt (t) is digital side interface controlled current source electric current column vector, YdFor digital side interface admittance matrix, I is unit pair
Angular moment battle array, UdIt (t) is digital side interface voltage column vector.
If physical simulation subsystem is connected by a power interface with Digital Simulation subsystem, single function is used
The physical simulation subsystem of rate interface is equivalent at concatenated ideal voltage source and equivalent impedance, corresponding time-domain equivalent mathematical model
It indicates are as follows:
up(t)=zpip(t)+ep(t) (4)
In formula (4), upIt (t) is physical side interface voltage, zpFor physical simulation subsystem equivalent impedance, ipIt (t) is physical side
Interface current, epIt (t) is physical simulation subsystem equivalent voltage source；
If physical simulation subsystem is connected by multiple interfaces with Digital Simulation subsystem, connect using multiple power
The equivalent Cheng Hanyuan multiport system of physical simulation subsystem of mouth, using the time domain of the physical simulation subsystem of multiple power interfaces
Equivalent mathematical model indicates are as follows:
By using the physical simulation subsystem of multiple power interfaces as a whole, then the time domain of physical simulation subsystem
Equivalent mathematical model unified representation are as follows:
Up(t)=ZpIp(t)+Ep(t) (6)
In formula (6), UpIt (t) is physical side interface voltage column vector, ZpFor physical simulation subsystem equivalent impedance matrix, Ip
It (t) is physical side interface current column vector, EpIt (t) is physical simulation subsystem equivalent voltage source column vector.
One numerical value of character representation of formula (1) is so with small letter, the character representation vector or matrix of formula (3), so with big
It writes.But vector or matrix can also only include a numerical value, so both expression (1) also illustrates that formula (2) to formula (3).
Step 2 establishes time-domain equivalent mathematical model to each power interface.
As shown in figure 5, Fig. 5 is numerical model analysis analogue system interface algorithm equivalent model.
Ideal transformer modelling, time-varying first approximation method, partial circuit replica method and resistance is respectively adopted in each power interface
The interface algorithms such as damped impedance method decouple more power interface numerical model analysis analogue systems, are divided into digital side interface and physical side
Interface, digital side interface is equivalent, and at promise equivalent circuit, physics side interface is equivalent at controlled voltage source, power interface include it is preceding to
Channel and feedback channel.For single power interface, the time-domain equivalent mathematical model of single power interface is indicated are as follows:
up(t)=f (t) * ud(t-τ1)
id(t)=α ip(t-τ2)+βup(t-τ2) (7)
In formula (7), f (t) indicates the characteristic of physics side interface physical device, and α and β take different according to distinct interface algorithm
Value, τ1And τ2The respectively delay of forward path and feedback channel；
As a whole by each power interface, power interface indicates are as follows:
Up(t)=F (t) * Ud(t-τ1)
Id(t)=AIp(t-τ2)+BUp(t-τ2) (8)
In formula (8), F (t) is diagonal matrix composed by each interface f (t), and A and B are respectively each interface α and β value institute group
At diagonal matrix.
Step 3, the time-domain equivalent mathematical modulo by integrating Digital Simulation subsystem, physical simulation subsystem and power interface
Type obtains the time-domain equivalent mathematical model of more power interface numerical model analysis analogue systems are as follows:
Zp(ZdYd+I)Ip(t)+F(t)*Zd(A+BZp)Ip(t-τ)
=F (t) * Ed(t-τ1)-(ZdYd+I)Ep(t)-F(t)*BZdEp(t-τ) (9)
In formula (9), τ=τ1+τ2It is always delayed for interface.
Step 4, by Laplace transform by the time-domain equivalent mathematical model of more power interface numerical model analysis analogue systems
It is transformed to Frequency Domain Mathematical Model, and obtains the characteristic equation of more power interface numerical model analysis analogue systems are as follows:
D (s)=det { Zp(s)[Zd(s)Yd(s)+I]+F(s)Zd(s)[A+BZp(s)]e-sτ}=0 (10)
Step 5 solves to obtain more power interface digital-to-analogues according to the characteristic equation of more power interface numerical model analysis analogue systems
The characteristic root of hybrid simulation system judges more power interface digital-to-analogues by the characteristic root of more power interface numerical model analysis analogue systems
The stability of hybrid simulation system.If the real part of each characteristic root, which is respectively less than, is equal to zero, more power interface numerical model analysis emulation system
System is stablized；The real part of characteristic root is greater than zero if it exists, then more power interface numerical model analysis analogue systems are unstable.
Linear system judges system stability, characteristic root in the distribution of complex plane according to the root of system closed loop transform function
The left-half i.e. real part of characteristic root of complex plane is entirely located in both less than when being equal to zero, system is stablized；Characteristic root position if it exists
It is greater than zero in right half plane, that is, existing characteristics root real part, then system dissipates.Therefore the steady of system can be judged by characteristic root
It is qualitative.
The embodiment of the method for more power interface numerical model analysis analogue system stability, which carries out specifically, to be judged to the present invention
It is bright, so that those skilled in the art know more about the present invention:
As shown in fig. 7, Fig. 7 is a kind of structure of more power interface numerical model analysis analogue systems provided in an embodiment of the present invention
Schematic diagram, each parameter is as shown in table 1 in system.
Table 1
By above-mentioned parameter by judging that the method for more power interface numerical model analysis analogue system stability is calculated:
Interface model algorithm uses voltage-source type ideal transformer model, and power interface is carried out using step low-pass link
Simulation, corner frequency take 24400 π, and damping ratio takes 0.61, then has:
It is s=-466.7 < 0 that substitution formula (10), which can be calculated system features root, then judges more power interface numerical model analysis
Analogue system is being capable of stable operation.
To sum up, a kind of method for judging more power interface numerical model analysis analogue system stability of the present invention, by each number
Word simulation subsystem, physical simulation subsystem and power interface establish time-domain equivalent mathematical model respectively, and according to these time domains
Equivalent mathematical model forms the time-domain equivalent mathematical model of more power interface numerical model analysis analogue systems, using Laplace transform
After Frequency Domain Mathematical Model is transformed to from time domain, the characteristic equation of more power interface numerical model analysis analogue systems is solved, and according to spy
The case where levying equation solution characteristic root, passing through characteristic root judges the stability of more power interface numerical model analysis analogue systems, solves
The problem of current shortage judges more power interface numerical model analysis analogue system stability emulates more power interface numerical model analysis
The design of system is realized and improves application with important directive significance.
Above disclosed is only a specific embodiment of the invention, but scope of protection of the present invention is not limited thereto,
Anyone skilled in the art in the technical scope disclosed by the present invention, can readily occur in variation or modification,
It is covered by the protection scope of the present invention.
Claims (10)
1. a kind of method for judging more power interface numerical model analysis analogue system stability, it is characterised in that: the following steps are included:
Step 1 establishes time-domain equivalent mathematical model to each Digital Simulation subsystem and each physical simulation subsystem respectively；
Step 2 establishes time-domain equivalent mathematical model to each power interface；
Step 3, the time-domain equivalent mathematical model according to Digital Simulation subsystem, physical simulation subsystem and power interface, obtain
The time-domain equivalent mathematical model of more power interface numerical model analysis analogue systems；
Step 4, by Laplace transform by the time-domain equivalent mathematical model of more power interface numerical model analysis analogue systems
It is transformed to Frequency Domain Mathematical Model, and obtains the characteristic equation of more power interface numerical model analysis analogue systems；
Step 5 solves to obtain more power interface digital-to-analogues according to the characteristic equation of more power interface numerical model analysis analogue systems
The characteristic root of hybrid simulation system judges the stability of more power interface numerical model analysis analogue systems by the characteristic root.
2. the method for the more power interface numerical model analysis analogue system stability of judgement according to claim 1, feature exist
In: the judgment method in the step 5 are as follows: if the real part of all characteristic roots, which is respectively less than, is equal to zero, more power interface digital-to-analogues
Hybrid simulation system is stablized；The real part of characteristic root is greater than zero if it exists, then more power interface numerical model analysis analogue systems are unstable.
3. the method for the more power interface numerical model analysis analogue system stability of judgement according to claim 1, feature exist
It include: that one or more Digital Simulation subsystems, one or more physics are imitative in: more power interface numerical model analysis analogue systems
True subsystem and one or more power interfaces, the Digital Simulation subsystem are imitative by one or more power interfaces and physics
True subsystem is connected.
4. the method for the more power interface numerical model analysis analogue system stability of judgement according to claim 1, feature exist
In: in the step 1, if the Digital Simulation subsystem is connected by a power interface with physical simulation subsystem
It connects, then it is equivalent at concatenated ideal voltage source and equivalent impedance using the Digital Simulation subsystem of single power interface, it is described to adopt
It is indicated with the time-domain equivalent mathematical model of the Digital Simulation subsystem of single power interface are as follows:
ed(t)=zd[id(t)+ydud(t)]+ud(t) (1)
In formula (1), edIt (t) is Digital Simulation subsystem equivalent voltage source, idIt (t) is digital side interface controlled current source electric current, ud
It (t) is digital side interface voltage, ydFor digital side interface admittance, zdFor Digital Simulation subsystem equivalent impedance；
If the Digital Simulation subsystem is connected by multiple power interfaces with physical simulation subsystem, using multiple
The equivalent Cheng Hanyuan multiport system of the Digital Simulation subsystem of power interface, Digital Simulation using multiple power interfaces
The time-domain equivalent mathematical model of system indicates are as follows:
5. the method for the more power interface numerical model analysis analogue system stability of judgement according to claim 4, feature exist
In: as a whole by the Digital Simulation subsystem using multiple power interfaces, then when the Digital Simulation subsystem
Domain equivalent mathematical model is unified are as follows:
Ed(t)=ZdId(t)+(ZdYd+I)Ud(t) (3)
In formula (3), EdIt (t) is Digital Simulation subsystem equivalent voltage source column vector, ZdFor Digital Simulation subsystem equivalent impedance square
Battle array, IdIt (t) is digital side interface controlled current source electric current column vector, YdFor digital side interface admittance matrix, I is unit to angular moment
Battle array, UdIt (t) is digital side interface voltage column vector.
6. the method for the more power interface numerical model analysis analogue system stability of judgement according to claim 1, feature exist
In: in the step 1, if the physical simulation subsystem is connected by a power interface with Digital Simulation subsystem,
It is equivalent at concatenated ideal voltage source and equivalent impedance, the single power using the physical simulation subsystem of single power interface
The time-domain equivalent mathematical model of the physical simulation subsystem of interface indicates are as follows:
up(t)=zpip(t)+ep(t) (4)
In formula (4), upIt (t) is physical side interface voltage, zpFor physical simulation subsystem equivalent impedance, ipIt (t) is physics side interface
Electric current, epIt (t) is physical simulation subsystem equivalent voltage source；
If the physical simulation subsystem is connected by multiple interfaces with Digital Simulation subsystem, multiple power interfaces are used
The equivalent Cheng Hanyuan multiport system of physical simulation subsystem, the physical simulation subsystem using multiple power interfaces when
Domain equivalent mathematical model indicates are as follows:
7. the method for the more power interface numerical model analysis analogue system stability of judgement according to claim 6, feature exist
In: as a whole by the physical simulation subsystem using multiple power interfaces, then time-domain equivalent mathematical model is unified
It indicates are as follows:
Up(t)=ZpIp(t)+Ep(t) (6)
In formula (6), UpIt (t) is physical side interface voltage column vector, ZpFor physical simulation subsystem equivalent impedance matrix, Ip(t) it is
Physical side interface current column vector, EpIt (t) is physical simulation subsystem equivalent voltage source column vector.
8. the method for the more power interface numerical model analysis analogue system stability of judgement according to claim 1, feature exist
In: each power interface decouples more power interface numerical model analysis analogue systems using interface algorithm, is counted
Word side interface and physics side interface, the number side interface is equivalent at promise equivalent circuit, the physics side interface it is equivalent at by
Voltage source is controlled, the power interface includes forward path and feedback channel.
9. the method for the more power interface numerical model analysis analogue system stability of judgement according to claim 1, feature exist
In: the interface algorithm includes: ideal transformer modelling, time-varying first approximation method, partial circuit replica method and damped impedance
Method.
10. the method for the more power interface numerical model analysis analogue system stability of judgement according to claim 1, feature exist
In: for the single power interface, time domain equivalent mathematical model is indicated are as follows:
up(t)=f (t) * ud(t-τ1)
id(t)=α ip(t-τ2)+βup(t-τ2) (7)
In formula (7), f (t) indicates the characteristic of physics side interface physical device, and α and β take different values, τ according to distinct interface algorithm1
And τ2The respectively delay of forward path and feedback channel；
As a whole by each power interface, the power interface indicates are as follows:
Up(t)=F (t) * Ud(t-τ1)
Id(t)=AIp(t-τ2)+BUp(t-τ2) (8)
In formula (8), F (t) is diagonal matrix composed by each interface f (t), and A and B are respectively composed by each interface α and β value
Diagonal matrix.
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