CN109659930A - The method of transient stability analysis of power system containing VSG-IIDG based on energy function - Google Patents
The method of transient stability analysis of power system containing VSG-IIDG based on energy function Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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Abstract
The method of transient stability analysis of power system containing VSG-IIDG based on energy function that the invention discloses a kind of, by inverter, virtual power-angle curve is fitted under different working condition, under the premise of not changing virtual load angle characteristic, the output electromagnetic power of inverter and virtual generator rotor angle is set to have a unified model to indicate, inverter is enabled to carry out power output by the virtual power-angle curve after fitting, finally will be in strict conformity with Liapunov condition by the system capacity function of the electromagnetic power building after the Fitting Calculation, and can correctly judge whether system is stable.The system capacity function that the present invention constructs has negative definiteness and can correctly judge that system is stablized, and this method is of great significance for analyzing the power system transient stability of the inverter of strategy containing VSG.
Description
Technical field
The present invention relates to inverter Transient Stability Analysis technologies, and in particular to a kind of energy function containing VSG-IIDG electricity
Force system transient stability analysis method.
Background technique
Distributed generation resource (DG) is mainly incorporated to bulk power grid by electronic power convertors such as inverters, and conventional inverter
Necessary voltage support, frequency support and the damping action needed for system can not be provided for power grid, and virtual synchronous generates electricity
The introducing of machine (VSG) technology makes the above problem be well solved, but this kind of inverter usually has current limit control
Link, under big interference, when inverter current is up to saturation state, inverter, which can take off, at this time becomes a current source, this is not
Only the transient process of inverter can be made to become more complicated, the virtual load angle characteristic of inverter can also change, and then to being
The energy function of system impacts.
Therefore, it is necessary to study the transient stability of inverter under VSG strategy.
Summary of the invention
The purpose of the present invention is to provide a kind of transient stability analysis of power system containing VSG-IIDG based on energy function
Method, solves under VSG strategy that inverter current is when reaching saturation, the system magnetism gesture due to caused by the change of virtual load angle characteristic
Can mutation, and then system total energy function is caused to be mutated, the problem of not meeting Liapunov condition.
Realize the technical solution of the object of the invention are as follows: a kind of electrical power system transient containing VSG-IIDG based on energy function is steady
Setting analysis method, comprising the following steps:
Step 1, the virtual load angle characteristic of inverter is modeled, determines that system is full in electric current unsaturation and electric current respectively
With the virtual power-angle curve of inverter under two kinds of working conditions；
Step 2, the virtual power-angle curve by inverter under two kinds of working conditions is fitted, and utilizes the Fitting Calculation
Virtual power-angle curve afterwards replaces the virtual power-angle curve under original two states, before not changing virtual load angle characteristic
It puts, so that characteristic curve of the inverter after the Fitting Calculation is carried out power output, then find out the corresponding inverter function of matched curve
Rate output equation；
Step 3, using the inverter electromagnetic power equation after the Fitting Calculation, the magnetic potential energy of system is found out, is calculated virtual
Rotor-position potential energy, hypothetical rotor kinetic energy, load bus potential energy and depletion potential energy, and then find out the gross energy of system；
Step 4, the energy function equation after being fitted using power finds out system capacity of the system in failure removal respectively
With the transition energy of system, the two is compared, and judges whether system can be stablized after applying disturbance.
Compared with prior art, remarkable advantage of the invention are as follows: the present invention by by inverter in transient process in difference
Virtual load angle characteristic under working condition is fitted, and so that the power output of inverter is had a unified functional equation, in turn
Make the system capacity function of building that there is negative definiteness and can correctly judge the stable method of system, this method contains analysis
The power system transient stability of VSG strategy inverter is of great significance.
Detailed description of the invention
Fig. 1 is inverter transient stability analysis flow chart under VSG strategy.
Fig. 2 is the virtual power-angle curve figure of inverter.
Fig. 3 is that virtual power-angle curve is fitted front and back comparison diagram.
Fig. 4 is system capacity comparison diagram before and after inverter power the Fitting Calculation.
Fig. 5 is stability criterion comparison diagram before and after inverter power the Fitting Calculation.
Specific embodiment
The present invention will be considered as a power generation using the inverter of VSG strategy using inverter-Infinite bus system as research object
Machine, rotor angle are referred to as virtual generator rotor angle, according to inverter respectively under electric current unsaturation and two kinds of working conditions of current saturation
Operation characteristic models the virtual load angle characteristic of system, finds out the load angle characteristic equation under two kinds of working conditions；Then will
Virtual power-angle curve under two kinds of working conditions is fitted, and inverter is made to carry out function according to the power-angle curve of fitting
Rate output, obtains the fit equation of inverter output power；The magnetic potential-energy function of equation computing system is recycled, and is found out
The total energy function of system；Finally using the energy function of building calculate separately interfere cut off when the energy of system and critical
Energy, to judge whether system is stable.
As shown in Figure 1, a kind of method of transient stability analysis of power system containing VSG-IIDG based on energy function, including with
Lower step:
Step 1, the virtual load angle characteristic of inverter is modeled, determines that system is full in electric current unsaturation and electric current respectively
With the virtual power-angle curve of inverter under two kinds of working conditions；
Step 2, the virtual power-angle curve by inverter under two kinds of working conditions is fitted, and utilizes the Fitting Calculation
Virtual power-angle curve afterwards replaces the virtual power-angle curve under original two states, before not changing virtual load angle characteristic
It puts, so that characteristic curve of the inverter after the Fitting Calculation is carried out power output, then find out the corresponding inverter function of matched curve
Rate output equation；
Step 3, using the inverter electromagnetic power equation after the Fitting Calculation, the magnetic potential energy of system is found out, void is calculated
Quasi- rotor-position potential energy, hypothetical rotor kinetic energy, load bus potential energy and depletion potential energy, and then find out the gross energy of system；
Step 4, the energy function equation after being fitted using power finds out system capacity of the system in failure removal respectively
With the transition energy of system, the two is compared, and judges whether system can be stablized after applying large disturbances.
Further, in step 1, by modeling to the virtual load angle characteristic of inverter, obtain inverter in electric current unsaturation
With the load angle characteristic equation in the case of two kinds of saturation；
When electric current unsaturation, inverter load angle characteristic equation are as follows:
In formula, inverter output voltage when V is inverter current unsaturation, U is the voltage of infinitely great grid side, and δ ' is
The virtual generator rotor angle of inverter, X∑For the reactance between inverter and infinite bulk power grid, PumFor electromagnetic work maximum under electric current unsaturated state
Rate, PEFor inverter electromagnetic power；
When current saturation, inverter load angle characteristic equation are as follows:
In formula, ImaxElectric current, P are limited for inverter maximumsmFor electromagnetic power maximum under current saturation state；
In current saturation and unsaturated separation, system has a corresponding virtual generator rotor angle δ 'm, when inverter is virtual
Generator rotor angle is less than δ 'mWhen, inverter is along the virtual power-angle curve work of unsaturation；When the virtual generator rotor angle of inverter is greater than δ 'mWhen, it is inverse
Become device and works along virtual power-angle curve is saturated；Accordingly, it is considered to when current limit link, inverter electromagnetic torque equation
Are as follows:
Further, in step 2, virtual power-angle curve of the inverter under two kinds of working conditions is fitted,
That is: the operating point of system is in unsaturated virtual power-angle curve and to be saturated in virtual power-angle curve in rocking process
It switches over, two power-angle curves is fitted to a smooth characteristic curve in the case where not changing former characteristic substantially, benefit
The virtual power-angle curve for replacing system original with the curve only has small change in the point of intersection performance number of two curves
Change, at other points, the electromagnetic power of system is basically unchanged before and after fitting.
Enabling the corresponding functional equation of matched curve is 16 functions about virtual generator rotor angle δ ', the electromagnetic work after fitting
Rate equation are as follows:
Pp(δ ')=k16δ′16+...knδ′n+...k1δ′+k0(n=1,2...16) (4)
In formula, knFor PpThe n times term coefficient of (δ ').
Further, in step 3, using the corresponding electromagnetic power equation of matched curve, the magnetic potential energy of computing system, and
Find out the other energy of system；
After power the Fitting Calculation, the calculation formula of magnetic potential energy are as follows:
Due to Pp(δ ') is 16 functions about δ ', it is clear that Pp(δ ') can be accumulated in arbitrary point, then utilizing formula (5)
The system magnetism potential energy being calculated will become a continuous function, will not because of electric current be saturated and mutate；
So total energy expression of system are as follows:
In above formula, Ta.iFor the inertia time constant of i-th hypothetical rotor, ωnFor specified angular frequency, ω 'iFor i-th void
The rotor angular frequency of quasi- synchronous generator, δ 'iIndicate the virtual generator rotor angle of i-th virtual synchronous generator, δ 'i.sI-th, table virtual
Virtual generator rotor angle, P when synchronous generator stable state0.iOutput power (the mechanical work corresponding to synchronous generator when for inverter stable state
Rate), λiFor the damping effect factor of i-th virtual synchronous generator, kP(correspond to and synchronize for the sagging control coefrficient of inverter
The damped coefficient of generator), Vk、Vrp、VDRespectively the hypothetical rotor kinetic energy, hypothetical rotor position potential energy of system and due to resistance
The depletion potential energy that Buddhist nun generates.
Further, in step 4, respectively by system in the parameter for cutting off parameter and system unstable equilibrium point when interfering
Substitution formula (6) finds out system capacity and transition energy of the system when interfering excision, and the two is compared is with judgement system
No stabilization；Specifically:
System capacity and transition energy of the system when interfering excision are found out, the two is compared and judges that system is
No stabilization；System capacity V when interference excisionclCalculation method be by parameter(system parameter when i.e. interference is cut off)
Substitution formula (6), and transition energy VcrCalculation method be by parameter(it is corresponding unstable to be saturated virtual power-angle curve
Equalization point) substitute into formula (6).If Vcl> VcrThen system is unstable；If Vcl≤VcrThen system will be stablized.
The method of transient stability analysis of power system containing VSG-IIDG based on energy function that the invention discloses a kind of, for
Virtual load angle characteristic of the inverter in electric current unsaturation and two kinds of saturation, discusses current saturation link under VSG strategy
Influence to system capacity function, and propose the method that inverter output power is fitted calculating under two kinds of operating statuses,
After making power the Fitting Calculation, system capacity function meets liapunov function.And it is found out according to the energy function rebuild
System capacity and transition energy of the system in big interference excision, and then accurately judge the stability of system.
For the inverter using VSG strategy, although having the transient characterisitics of similar synchronous generator, since electric current is full
With the introducing of link, so that system has the virtual load angle characteristic different from synchronous generator under big interference, this leads to system
Energy function do not have negative definiteness, and likely result in and whether stable for system in transient process make erroneous judgement.For this
Problem, set forth herein the methods that inverter output power is fitted calculating, i.e., inverter is empty under different working condition
Quasi- power-angle curve is fitted, and under the premise of not changing virtual load angle characteristic substantially, makes the output electromagnetic work of inverter
Rate and virtual generator rotor angle have a unified model to indicate, enable inverter defeated by the virtual power-angle curve progress power after fitting
Out, finally will be in strict conformity with Liapunov condition by the system capacity function of the electromagnetic power building after the Fitting Calculation, and it can
Correctly to judge whether system is stable.
Below with reference to embodiment and attached drawing, the present invention is described in detail.
Embodiment
A kind of method of transient stability analysis of power system containing VSG-IIDG based on energy function, comprising the following steps:
The first step models the virtual load angle characteristic of inverter, obtains inverter in two kinds of situations of electric current unsaturation and saturation
Under load angle characteristic equation, expression formula is as follows:
In formula, inverter output voltage when V is inverter current unsaturation, U is the voltage of infinitely great grid side, X∑For
Reactance between inverter and infinite bulk power grid, ImaxAfter current saturation, inverter takes off the maximum of the Norton equivalent current source become
Export electric current.
In current saturation and unsaturated separation, system has a corresponding virtual generator rotor angle δ 'm, when inverter is virtual
Generator rotor angle is less than δ 'mWhen, inverter is along the virtual power-angle curve work of unsaturation；When the virtual generator rotor angle of inverter is greater than δ 'mWhen, it is inverse
Become device and works along virtual power-angle curve is saturated.
Virtual power-angle curve of the inverter under two kinds of working conditions is fitted, such as institute in Fig. 2 by second step
Show: curve OABCD is the virtual power-angle curve under two kinds of different working conditions, and curve OAB is that unsaturated virtual generator rotor angle is special
Linearity curve, curve BCD is that the virtual power-angle curve of saturation is composed of two kinds of curves, in the feelings for not changing former characteristic substantially
Curve OABCD is fitted to a smooth characteristic curve under condition, the virtual load angle characteristic for replacing system original using the curve
Curve, only the electromagnetic power of system has minor change at B point, at other points, the electromagnetic power of system base before and after fitting
This is constant.
For guarantee have it is enough fit precision, can enable the corresponding functional equation of matched curve be one about virtual generator rotor angle δ '
16 functions.Electromagnetic power equation after being so fitted are as follows:
Pp(δ ')=k16δ′16+...knδ′n+...k1δ′+k0(n=1,2...16) (8)
In formula, knFor PpThe n times term coefficient of (δ ').
Third step utilizes the magnetic potential energy for the inverter output power equation calculation system that the Fitting Calculation obtains.Formula are as follows:
Due to Pp(δ ') can all accumulate any δ ', therefore will be a company using the system magnetism potential energy that formula (9) obtain
Continuous function, will not because of virtual power-angle curve change and mutate.So system can by function will are as follows:
In above formula, TaFor the inertia time constant of hypothetical rotor, ωnFor specified angular frequency, P0It is defeated when for inverter stable state
Power (mechanical output corresponding to synchronous generator) out, λ are the damping effect factor of inverter, kPFor the sagging control of inverter
Coefficient (damped coefficient corresponding to synchronous generator) processed, Vk、Vrp、VDRespectively hypothetical rotor kinetic energy, the hypothetical rotor of system
Position potential energy and the depletion potential energy due to damping generation.
4th step finds out system capacity and transition energy of the system in big interference excision, the two is compared and sentenced
Whether disconnected system is stable.
System capacity V when big interference excisionclCalculation method be by parameter(i.e. δ 'c、ω′cTo interfere excision greatly
When virtual generator rotor angle and rotor angular acceleration) substitute into formula (10), and transition energy VcrCalculation method be by parameter
(δ′uIt is saturated the corresponding unstable equilibrium angle of virtual power-angle curve) substitute into formula (10).If Vcl> VcrThen system is unstable；If
Vcl≤VcrThen system will be stablized.
The virtual generator rotor angle transient energy function analysis method according to the present invention, the Fitting Calculation of inverter power, substantially
Do not change original virtual power-angle curve, it is original subsection curve drafting is smooth at one, continuous virtual instead
Power-angle curve, as shown in figure 3, the magnetic potential energy and total energy of the power equation computing system obtained according to the Fitting Calculation
Amount.From fig. 4, it can be seen that significant difference is distributed in the energy function of system, is being fitted before and after inverter output power fitting
Before calculating, system magnetism potential energy can mutate with gross energy, and the system capacity distribution map acquired after the Fitting Calculation is then
Strictly monotone decreasing meets Liapunov condition.According to Fig. 5, before carrying out power the Fitting Calculation, it may appear that system is stablized
Erroneous judgement, and after power the Fitting Calculation, then whether stable can be accurately judged to system.
Therefore, the power output equation model by inverter under electric current unsaturation and two kinds of working conditions of current saturation at
One equation is of great significance to Transient Stability Analysis is carried out to system using energy function method.
Claims (5)
1. a kind of method of transient stability analysis of power system containing VSG-IIDG based on energy function, which is characterized in that including with
Lower step:
Step 1, the virtual load angle characteristic of inverter is modeled, determines system respectively in electric current unsaturation and current saturation two
The virtual power-angle curve of inverter under kind working condition；
Step 2, the virtual power-angle curve by inverter under two kinds of working conditions is fitted, after the Fitting Calculation
Virtual power-angle curve replaces the virtual power-angle curve under original two states, in the premise for not changing virtual load angle characteristic
Under, so that characteristic curve of the inverter after the Fitting Calculation is carried out power output, then find out the corresponding inverter power of matched curve
Output equation；
Step 3, using the inverter electromagnetic power equation after the Fitting Calculation, the magnetic potential energy of system is found out, calculates hypothetical rotor
Position potential energy, hypothetical rotor kinetic energy, load bus potential energy and depletion potential energy, and then find out the gross energy of system；
Step 4, the energy function equation after being fitted using power is found out system capacity of the system in failure removal respectively and is
The transition energy of system, the two is compared, and judges whether system can be stablized after applying disturbance.
2. transient stability analysis of power system containing the VSG-IIDG method according to claim 1 based on energy function,
It is characterized in that, in step 1, by modeling to the virtual load angle characteristic of inverter, obtains inverter in electric current unsaturation and saturation two
Load angle characteristic equation in the case of kind；
When electric current unsaturation, inverter load angle characteristic equation are as follows:
In formula, inverter output voltage when V is inverter current unsaturation, U is the voltage of infinitely great grid side, and δ ' is inversion
The virtual generator rotor angle of device, X∑For the reactance between inverter and infinite bulk power grid, PumFor electromagnetic power maximum under electric current unsaturated state, PE
For inverter electromagnetic power；
When current saturation, inverter load angle characteristic equation are as follows:
In formula, ImaxElectric current, P are limited for inverter maximumsmFor electromagnetic power maximum under current saturation state；
In current saturation and unsaturated separation, system has a corresponding virtual generator rotor angle δm', when the virtual generator rotor angle of inverter
Less than δm' when, inverter is along the virtual power-angle curve work of unsaturation；When the virtual generator rotor angle of inverter is greater than δm' when, inverter
It works along virtual power-angle curve is saturated；Accordingly, it is considered to when current limit link, inverter electromagnetic torque equation are as follows:
。
3. transient stability analysis of power system containing the VSG-IIDG method according to claim 1 based on energy function,
It is characterized in that, in step 2, enabling the corresponding functional equation of matched curve is 16 functions about virtual generator rotor angle δ ', fitting
Electromagnetic power equation afterwards are as follows:
Pp(δ ')=k16δ′16+...knδ′n+...k1δ′+k0 (4)
In formula, knFor PpThe n times term coefficient of (δ '), n=1,2...16.
4. transient stability analysis of power system containing the VSG-IIDG method according to claim 1 based on energy function,
It is characterized in that, in step 3, using the corresponding electromagnetic power equation of matched curve, the magnetic potential energy of computing system, and finds out system
Other energy；
After power the Fitting Calculation, the calculation formula of magnetic potential energy are as follows:
Due to Pp(δ ') is 16 functions about δ ', Pp(δ ') can be accumulated in arbitrary point, then be calculated using formula (5)
System magnetism potential energy will become a continuous function, will not because of electric current be saturated and mutate；The gross energy of system is public
Formula are as follows:
In above formula, Ta.iFor the inertia time constant of i-th hypothetical rotor, ωnFor specified angular frequency, ω 'iIt is virtual same for i-th
Walk the rotor angular frequency of generator, δiThe virtual generator rotor angle of i-th virtual synchronous generator of ' expression, δ 'i.sI-th virtual synchronous of table
Virtual generator rotor angle, P when Generator Stable0.iOutput power when for inverter stable state, λiFor the resistance of i-th virtual synchronous generator
Buddhist nun's impact factor, kPFor the sagging control coefrficient of inverter, Vk、Vrp、VDRespectively hypothetical rotor kinetic energy, the hypothetical rotor of system
Position potential energy and the depletion potential energy due to damping generation.
5. transient stability analysis of power system containing the VSG-IIDG method according to claim 4 based on energy function,
It is characterized in that, in step 4, respectively by system in the parameter substitution formula for cutting off parameter and system unstable equilibrium point when interfering
(6), system capacity and transition energy of the system when interfering excision are found out, the two is compared to judge whether system is steady
It is fixed.
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| CN113552430A (en) * | 2021-06-22 | 2021-10-26 | 南方电网科学研究院有限责任公司 | Converter transient stability determination method and device based on critical indexes |
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| CN112952896A (en) * | 2020-10-26 | 2021-06-11 | 浙江运达风电股份有限公司 | Power angle stability enhancement control method for voltage source type double-fed fan |
| CN113552430A (en) * | 2021-06-22 | 2021-10-26 | 南方电网科学研究院有限责任公司 | Converter transient stability determination method and device based on critical indexes |
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