CN114398761B - Synchronous machine system frequency response analysis calculation method considering speed regulator reinforced dead zone - Google Patents

Synchronous machine system frequency response analysis calculation method considering speed regulator reinforced dead zone Download PDF

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CN114398761B
CN114398761B CN202111566050.2A CN202111566050A CN114398761B CN 114398761 B CN114398761 B CN 114398761B CN 202111566050 A CN202111566050 A CN 202111566050A CN 114398761 B CN114398761 B CN 114398761B
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synchronous machine
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王程
杨牧青
毕天姝
胥国毅
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North China Electric Power University
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    • G06—COMPUTING; CALCULATING OR COUNTING
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    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • 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
    • H02J3/40—Synchronising a generator for connection to a network or to another generator
    • 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
    • H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
    • H02J3/48—Controlling the sharing of the in-phase component
    • G—PHYSICS
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    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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Abstract

The invention discloses a frequency response analysis calculation method considering a speed regulator strengthening dead zone, which comprises the following steps: acquiring frequency modulation parameters including a dead zone, inertia, a difference adjustment coefficient and a reheating time constant of the whole network synchronous machine; performing equivalent aggregation on the frequency modulation parameters according to the installed capacity of each synchronous machine in the whole network to obtain a single-machine equivalent model; on the basis of the single-machine equivalent model, the influence of a speed regulator reinforced dead zone is considered, a piecewise linearization method is used for obtaining a piecewise transfer function of the inertia center frequency, and a non-zero initial state analysis method is used for carrying out inverse Laplace transform on the piecewise transfer function to obtain a frequency response piecewise time domain analysis model of the whole network inertia center. The invention can more accurately analyze and calculate the frequency response of the inertia center of the whole network, and simultaneously, the calculation effect of the invention is closer to the real power network, thereby better establishing day-ahead scheduling plan service for the power network.

Description

Synchronous machine system frequency response analysis calculation method considering speed regulator reinforced dead zone
Technical Field
The invention belongs to the field of power system frequency modulation, and particularly relates to a synchronous machine system frequency response analysis calculation method considering a speed regulator reinforced dead zone.
Background
With the gradual exploitation of fossil energy and the gradual increase of the demand for energy, the relationship between human beings and the nature is increasingly tense. Under the background, to construct a new power system mainly based on new energy, considering new energy grid connection and related technologies thereof has become an important direction for future power technology development.
The new energy occupation ratio of China increases year by year, but due to the characteristics of the fluctuation and weak inertia of the new energy, the new energy has poor supporting effect on the system frequency after the regional power grid generates load disturbance, and therefore the synchronous machine still plays a main role in frequency modulation.
Although the frequency response of the synchronous machine system is deeply researched at present, the influence of a speed regulator strengthening dead zone cannot be considered by the mainstream frequency response calculation method at present, the modeling of the nonlinear link of the speed regulator is still to be perfected, and how to better establish day-ahead scheduling plan service with strong disturbance rejection capability for a power grid is still to be researched.
Object of the Invention
The invention aims to solve the problems and provides a synchronous machine system frequency response analysis and calculation method considering a speed regulator reinforced dead zone, which can accurately analyze and calculate the frequency response of the whole network inertia center under the premise of considering the speed regulator reinforced dead zone and simultaneously ensure that the calculation effect of the frequency response is closer to a real power grid, thereby better establishing day-ahead scheduling plan service for the power grid.
Disclosure of Invention
The invention provides a synchronous machine system frequency response analysis calculation method considering a speed regulator reinforced dead zone, which comprises the following steps:
step 1, before the frequency response analysis calculation of the speed regulator reinforced dead zone is applied, obtaining key frequency modulation parameters of the whole network synchronous machine by measurement calculation of a PMU (power management unit) device, wherein the key frequency modulation parameters comprise the speed regulator dead zone delta omega of each synchronous machine in the whole network synchronous machine dz Inertia H, difference adjustment coefficient R and reheating time constant T R High pressure turbine power fraction F H Damping coefficient xi and mechanical gain coefficient K m And disturbance power P Step ；
Step 2, setting a mechanical gain coefficient according to the installed capacity and the total system capacity of each synchronous machine in the whole network synchronous machine, and utilizing the set mechanical gain coefficient K of each synchronous machine m Setting inertia H, difference adjustment coefficient R and reheating time constant T R High pressure turbine power fraction F H Finally, the key frequency modulation parameters are aggregated to obtain a single-machine equivalent model;
step 3, simplifying a structure diagram according to the single-machine equivalent model, considering the influence of a speed regulator strengthening dead zone, and obtaining a piecewise transfer function of the inertia center frequency by a piecewise linearization method;
and 4, obtaining a frequency response segmented time domain analysis model of the whole network inertia center by using a non-zero initial state analysis method for the second-stage transfer function after the intervention of the speed regulator.
Preferably, step 4 further comprises: and (3) carrying out inverse Laplace transform on the segmented transfer function of the inertia center frequency obtained in the step (3) by a non-zero initial state analysis method, so as to obtain a frequency response segmented time domain analysis model of the whole network inertia center.
Preferably, in step 1, the key frequency modulation parameters of the whole network synchronizer are acquired by a human-computer interface according to the operation requirements of the whole network synchronizer.
Preferably, in the step 2, the mechanical gain coefficient K of each synchronous machine after setting mg Calculated from equation (1):
Figure GDA0004104484120000031
wherein S is g The installed capacity of each synchronous machine;
the equivalent frequency modulation parameters of the single-machine equivalent model are calculated by the formulas (2) to (6):
Figure GDA0004104484120000032
Figure GDA0004104484120000033
Figure GDA0004104484120000034
Figure GDA0004104484120000035
Figure GDA0004104484120000036
wherein R is g 、F Hg 、T Rg 、H g Respectively is the difference adjustment coefficient, the power fraction of the high-pressure turbine, the reheating time constant, the inertia and lambda after the setting of the synchronous machine g Are intermediate variables that assist in the computation.
Preferably, the piecewise transfer function of the inertia center frequency obtained by the piecewise linearization method in step 3 is expressed as shown in formula (7):
Figure GDA0004104484120000041
wherein, t dz 、R、F H 、T R 、H、K m 、P Step The moment crossing the dead zone of the speed regulator, the difference adjustment coefficient, the power fraction of the high-pressure turbine, the reheating time constant, the inertia, the mechanical gain coefficient and the unbalanced power of the single-machine equivalent model are respectively, xi is a damping ratio, omega n Is the natural frequency of the second order model.
Preferably, the derivation process of the frequency response segmented time domain analytic model of the whole network inertia center obtained in step 4 is as shown in formula (8):
Figure GDA0004104484120000042
wherein, delta omega (0), R, F H 、T R 、H、K m 、P Step The zero initial state rotating speed deviation, the difference adjustment coefficient, the high-pressure turbine power fraction, the reheating time constant, the inertia, the mechanical gain coefficient and the unbalanced power of the single-machine equivalent model are respectively, xi is a damping ratio, and omega is n And the natural frequency of the second-order model, s is a Laplace operator, and D is a damping coefficient of the synchronous machine.
Transforming the formula (8) into a time domain model, which is expressed as shown in formula (9):
Figure GDA0004104484120000043
extracting a formula from the formula (9) and combining the same terms to simplify the formula (10):
Figure GDA0004104484120000051
therefore, a frequency response segmented time domain analytical model of the whole network inertia center is obtained as shown in formulas (11) to (14):
Figure GDA0004104484120000052
Figure GDA0004104484120000053
Figure GDA0004104484120000054
Figure GDA0004104484120000055
wherein, ω is 1 、ω 2 、A 1 、A 2 、A 5 、A 6 All are intermediate variables of convenient column writing formulas, and have no specific physical significance.
Drawings
FIG. 1 is a topology diagram of a 3-machine 9-node power system according to an embodiment of the present invention;
FIG. 2 is a comparison graph of the effectiveness of the verification algorithm;
Detailed Description
The technical solutions in the embodiments of the present invention are clearly and completely described below with reference to the accompanying drawings, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments of the present invention without making any creative effort, shall fall within the protection scope of the present invention.
The invention provides a synchronous machine system frequency response analysis calculation method considering a speed regulator reinforced dead zone, which specifically comprises the following steps:
step 1: and acquiring key frequency modulation parameters.
According to specific operation requirements, key frequency modulation parameters are obtained through a human-computer interface, such as: dead zone delta omega of speed regulator dz Inertia H, difference adjustment coefficient R and reheating time constant T R High pressure turbine power fraction F H Damping coefficient xi and mechanical gain coefficient K m Disturbance power P Step And entering the step 2 after the completion.
Step 2: and aggregating the multi-machine systems.
Setting a mechanical gain coefficient through installed capacity and total system capacity of each synchronous machine in the whole network synchronous machine, wherein the mechanical gain coefficient of each synchronous machine after setting is calculated by the formula (1):
Figure GDA0004104484120000061
wherein S is g The installed capacity of each synchronous machine;
finally, aggregating the frequency modulation parameters to obtain a single-machine equivalent model according to the set inertia, the set difference coefficient, the reheating time constant and the high-pressure turbine power fraction of the mechanical gain coefficient of the set synchronous machine, wherein the equivalent frequency modulation parameters of the single-machine equivalent model are calculated by the following formulas (2) to (6):
Figure GDA0004104484120000062
Figure GDA0004104484120000071
Figure GDA0004104484120000072
Figure GDA0004104484120000073
Figure GDA0004104484120000074
wherein R is g 、F Hg 、T Rg 、H g Respectively is the difference adjustment coefficient, the power fraction of the high-pressure turbine, the reheating time constant, the inertia and lambda of the synchronous machine g And 3, entering step 3 after the intermediate variables are used for auxiliary calculation.
And step 3: simplifying the structure chart to obtain a sectional transfer function of the inertia center frequency;
simplifying the structure diagram according to a single-machine equivalent model, considering the influence of a speed regulator strengthening dead zone, and obtaining a piecewise transfer function of the inertia center frequency by a piecewise linearization method as shown in the formula (7):
Figure GDA0004104484120000075
wherein t is dz 、R、F H 、T R 、H、K m 、P Step The moment crossing the dead zone of the speed regulator, the difference adjustment coefficient, the power fraction of the high-pressure turbine, the reheating time constant, the inertia, the mechanical gain coefficient and the unbalanced power of the single-machine equivalent model are respectively, xi is a damping ratio, omega n Is the natural frequency of the second order model.
And 4, step 4: cross dead time determination and non-zero initial state analysis
And (3) obtaining a frequency response segmented time domain analysis model of the whole network inertia center by using a non-zero initial state analysis method for a second-stage transfer function after the intervention of the speed regulator, wherein the derivation process of the time domain analysis model is shown as the formula (8):
Figure GDA0004104484120000076
Figure GDA0004104484120000081
/>
wherein, delta omega (0), R, F H 、T R 、H、K m 、P Step The zero initial state rotating speed deviation, the difference adjustment coefficient, the high-pressure turbine power fraction, the reheating time constant, the inertia, the mechanical gain coefficient and the unbalanced power of the single-machine equivalent model are respectively, xi is a damping ratio, and omega is n And the natural frequency of the second-order model, s is a Laplace operator, and D is a damping coefficient of the synchronous machine.
Converting the time domain model into a time domain model, and expressing the time domain model as shown in a formula (9):
Figure GDA0004104484120000082
extracting a formula from the formula (9) and combining the same terms to simplify the formula (10):
Figure GDA0004104484120000083
the frequency response segmented time domain analysis model of the whole network inertia center is obtained as shown in formulas (11) to (14):
Figure GDA0004104484120000084
Figure GDA0004104484120000085
Figure GDA0004104484120000091
Figure GDA0004104484120000092
wherein, ω is 1 、ω 2 、A 1 、A 2 、A 5 、A 6 All are intermediate variables of a convenient column writing formula, and have no specific physical significance.
The process of the invention is illustrated below by means of a specific example.
Examples
Fig. 1 is a topological diagram of a 3-machine 9-node power system, which includes three synchronizers G1, G2, and G3, and 9 nodes 1 to 9. The voltage class of a system in the region is 220kV, the total capacity of a generator is 402MW, the total load is 350MW, and key frequency modulation parameters of the system are aggregated as follows:
Figure GDA0004104484120000093
the dead zone of the regional synchronous machine speed regulator is set to be 0.15Hz and 0.003 after per unit, and the frequency response of the system after disturbance is obtained by substituting the key frequency modulation parameters into the existing method and the calculation method disclosed by the invention, as shown in FIG. 2.
Through comparison, the method can calculate the frequency response of the disturbed system on the basis of considering the intensified dead zone of the speed regulator.
The invention has the following beneficial effects:
the method can carry out multi-machine aggregation according to the installed capacity of a synchronous machine and the total system capacity on the basis of the known key frequency modulation parameters of the power grid, the influence of a speed regulator strengthening dead zone is considered in a single-machine equivalent model, a frequency response time domain analysis model of a whole-network inertia center is obtained by calculation through a non-zero initial state analysis method, and the time domain analysis model can calculate the frequency response of the power grid after disturbance of the speed regulator strengthening dead zone is considered.

Claims (3)

1. A synchronous machine system frequency response analysis calculation method considering a speed regulator strengthening dead zone is characterized by comprising the following steps:
step 1, before the frequency response analysis calculation of the speed regulator reinforced dead zone is applied, obtaining key frequency modulation parameters of the whole network synchronous machine by measurement calculation of a PMU (power management unit) device, wherein the key frequency modulation parameters comprise the speed regulator dead zone delta omega of each synchronous machine in the whole network synchronous machine dz Inertia H, difference adjustment coefficient R and reheating time constant T R High pressure turbine power fraction F H Damping coefficient xi and mechanical gain coefficient K m And disturbance power P Step ；
Step 2, setting a mechanical gain coefficient according to the installed capacity and the total system capacity of each synchronous machine in the whole network synchronous machine, and utilizing the set mechanical gain coefficient K of each synchronous machine mg Setting inertia H, difference adjustment coefficient R and reheating time constant T R High pressure turbine power fraction F H Finally, aggregating the key frequency modulation parameters to obtain a single-machine equivalent model; the mechanical gain coefficient K of each set synchronous machine mg Calculated from equation (1):
Figure QLYQS_1
wherein S is g The installed capacity of each synchronous machine;
the equivalent frequency modulation parameters of the single-machine equivalent model are calculated by the formulas (2) to (6):
Figure QLYQS_2
Figure QLYQS_3
Figure QLYQS_4
Figure QLYQS_5
Figure QLYQS_6
wherein R is g 、F Hg 、T Rg 、H g Respectively is the difference adjustment coefficient, the power fraction of the high-pressure turbine, the reheating time constant, the inertia and lambda after the setting of the synchronous machine g Intermediate variables for auxiliary calculation;
step 3, simplifying a structure diagram according to the single-machine equivalent model, considering the influence of a speed regulator strengthening dead zone, and obtaining a piecewise transfer function of inertia center frequency by a piecewise linearization method; the piecewise transfer function of the inertia center frequency obtained by the piecewise linearization method is expressed as shown in formula (7):
Figure QLYQS_7
wherein, t dz 、R、F H 、T R 、H、K m 、P Step The moment crossing the dead zone of the speed regulator, the difference adjustment coefficient, the power fraction of the high-pressure turbine, the reheating time constant, the inertia, the mechanical gain coefficient and the disturbance power of the single-machine equivalent model are respectively, xi is a damping coefficient, omega n Natural frequency of the second order model;
step 4, obtaining a frequency response segmented time domain analysis model of the whole network inertia center by using a non-zero initial state analysis method for a second-stage transfer function after the intervention of the speed regulator, wherein the derivation process is shown as a formula (8):
Figure QLYQS_8
/>
Figure QLYQS_9
wherein, delta omega (0), R, F H 、T R 、H、K m 、P Step The zero initial state rotating speed deviation, the difference adjustment coefficient, the high-pressure turbine power fraction, the reheating time constant, the inertia, the mechanical gain coefficient and the disturbance power of the single-machine equivalent model are respectively, xi is a damping coefficient, omega is n The natural frequency of the second-order model is shown, s is a Laplace operator, and D is a damping coefficient of the whole-network synchronous machine;
transforming the formula (8) into a time domain model, which is expressed as shown in formula (9):
Figure QLYQS_10
extracting a common factor from the formula (9) and combining the same terms, and simplifying the common factor into a formula (10):
Figure QLYQS_11
therefore, a frequency response segmented time domain analytical model of the whole network inertia center is obtained as shown in formulas (11) to (14):
Figure QLYQS_12
Figure QLYQS_13
Figure QLYQS_14
Figure QLYQS_15
wherein, ω is 1 、ω 2 、A 1 、A 2 、A 5 、A 6 All are intermediate variables of convenient column-writing formula without specific physical meaningAnd meaning, s is a Laplace operator, and D is a damping coefficient of the whole network synchronous machine.
2. The method for analyzing and calculating the frequency response of the synchronous machine system considering the dead zone of the speed regulator strengthening type according to claim 1, wherein the step 4 further comprises the following steps: and (3) carrying out inverse Laplace transform on the segmented transfer function of the inertia center frequency obtained in the step (3) by a non-zero initial state analysis method, so as to obtain a frequency response segmented time domain analysis model of the whole network inertia center.
3. The method for analyzing and calculating the frequency response of the synchronous machine system considering the speed regulator strengthening dead zone according to claim 1, wherein the key frequency modulation parameters of the whole-network synchronous machine obtained in the step 1 are obtained by a human-computer interface according to the operation requirements of the whole-network synchronous machine.
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