CN113690893A - Load flow calculation method and system of microgrid with voltage regulator - Google Patents

Load flow calculation method and system of microgrid with voltage regulator Download PDF

Info

Publication number
CN113690893A
CN113690893A CN202110990763.5A CN202110990763A CN113690893A CN 113690893 A CN113690893 A CN 113690893A CN 202110990763 A CN202110990763 A CN 202110990763A CN 113690893 A CN113690893 A CN 113690893A
Authority
CN
China
Prior art keywords
voltage regulator
voltage
transformer
admittance matrix
microgrid
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN202110990763.5A
Other languages
Chinese (zh)
Other versions
CN113690893B (en
Inventor
彭和平
栾乐
许中
莫文雄
王勇
马智远
王海靖
范伟男
肖天为
刘田
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Guangzhou Power Supply Bureau of Guangdong Power Grid Co Ltd
Original Assignee
Guangzhou Power Supply Bureau of Guangdong Power Grid Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Guangzhou Power Supply Bureau of Guangdong Power Grid Co Ltd filed Critical Guangzhou Power Supply Bureau of Guangdong Power Grid Co Ltd
Priority to CN202110990763.5A priority Critical patent/CN113690893B/en
Publication of CN113690893A publication Critical patent/CN113690893A/en
Application granted granted Critical
Publication of CN113690893B publication Critical patent/CN113690893B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/04Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
    • H02J3/06Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/16Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/10Power transmission or distribution systems management focussing at grid-level, e.g. load flow analysis, node profile computation, meshed network optimisation, active network management or spinning reserve management
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Data Mining & Analysis (AREA)
  • Theoretical Computer Science (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computing Systems (AREA)
  • Algebra (AREA)
  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Supply And Distribution Of Alternating Current (AREA)

Abstract

The invention discloses a load flow calculation method and a system of a microgrid with a voltage regulator, wherein three-phase asymmetric load flow of a microgrid model is calculated according to a system node admittance matrix, and then the control voltage deviation of the voltage regulator is calculated, the variable quantity of the system node admittance matrix after the tap joint of the voltage regulator acts is determined according to the relation between the voltage regulator node admittance matrix and the tap joint, so that the position of the tap joint of the voltage regulator is calculated each time by utilizing a gradual iteration and correction mode, then the system node admittance matrix is updated according to the tap joint position, next load flow calculation is carried out by utilizing a hidden Zbus Gauss method, when the control voltage deviation of the voltage regulator is smaller than a preset bandwidth, the iteration is stopped, the three-phase asymmetric load flow is output, and the calculation speed of the three-phase asymmetric load flow has better convergence effect and high efficiency compared with a Newton algorithm.

Description

Load flow calculation method and system of microgrid with voltage regulator
Technical Field
The invention relates to the technical field of power grid load flow calculation, in particular to a load flow calculation method and system of a micro-power grid with a voltage regulator.
Background
With the continuous development of the micro-grid, a large number of distributed power supplies and control systems are connected to the grid, and the large number of distributed power supplies connected to the grid can improve the power supply reliability of the system, reduce the grid loss of the system, improve the economy of the system, but also improve the difficulty of system analysis. The distributed power supply can enable the power flow of a system circuit to flow reversely, so that the system is changed from a single power supply mode to a multi-power supply mode, and in order to ensure the voltage stability of a grid-connected point of the distributed power supply, a control element (such as a voltage regulator) is required to control the voltage of the grid-connected point.
Load flow calculation is the basis of distribution network system analysis, and is to solve the steady-state voltage of each node under the condition of a given set of power generation and load conditions. Due to the existence of asymmetric elements in the microgrid, such as three-phase transmission lines and three-phase asymmetric loads, three-phase voltage and currents of the microgrid are not symmetric any more, so that the load flow of only one phase can not be calculated, and the three-phase load flow needs to be calculated. The Newton algorithm is one of three-phase asymmetric power flow algorithms at present, and when solving the micro-grid power flow containing a distributed power supply and a voltage regulator, the Newton algorithm needs to continuously update a Jacobian matrix, so that the calculation speed is low, and the problem of low efficiency exists.
Disclosure of Invention
The invention provides a method and a system for calculating the power flow of a microgrid with a voltage regulator, which are used for solving the technical problems of low convergence speed and low efficiency when a Newton algorithm is used for solving the power flow of the microgrid with a distributed power supply and the voltage regulator in the prior art.
In view of this, the first aspect of the present invention provides a method for calculating a power flow of a microgrid with a voltage regulator, including the following steps:
s1, acquiring a microgrid model containing a voltage regulator;
s2, calculating a system node admittance matrix of the microgrid model;
s3, calculating the three-phase asymmetric power flow of the microgrid model by adopting an implicit Zbus Gaussian method according to the system node admittance matrix;
s4, calculating the control voltage deviation of the voltage regulator according to the result of the three-phase asymmetric power flow;
s5, judging whether the control voltage deviation of the voltage regulator is smaller than a preset bandwidth, if so, jumping to S9, and if not, executing S6;
s6, adjusting the tap joint of the voltage regulator according to the control voltage deviation of the voltage regulator, and updating the transformer node admittance matrix;
s7, updating the system node admittance matrix according to the updated transformer node admittance matrix;
s8, returning to the step S3 to recalculate the three-phase asymmetric power flow of the microgrid model according to the updated system node admittance matrix;
and S9, outputting the three-phase asymmetric power flow of the microgrid model.
Optionally, step S2 specifically includes:
s21, calculating an admittance matrix of each element node of the microgrid model;
and S22, calculating a system node admittance matrix of the microgrid model according to the element node admittance matrixes.
Optionally, in step S4, the formula for calculating the control voltage deviation of the voltage regulator is:
ΔVreg=u/ptratio-Vdrrop-Vreg
wherein u is the node voltage of three-phase asymmetric load flow calculation, ptratioFor regulating the pressureVoltage transformer transformation ratio of transformerdrropFor compensating circuit voltage drop, V, of voltage regulatorsregIs the control voltage of the voltage regulator.
Optionally, step S6 specifically includes:
s61, if the control voltage deviation of the voltage regulator is larger than the preset bandwidth and the control voltage deviation of the voltage regulator is larger than zero, controlling a tap joint of the voltage regulator to move downwards by one position, and updating a transformer node admittance matrix;
s62, if the control voltage deviation of the voltage regulator is larger than the preset bandwidth and the control voltage deviation of the voltage regulator is smaller than zero, controlling a tap joint of the voltage regulator to move upwards by one position, and updating a transformer node admittance matrix;
and S63, if the control voltage deviation of the voltage regulator is smaller than the preset bandwidth, the position of a tap of the voltage regulator is not moved, and the transformer node admittance matrix is not updated.
Optionally, in step S6, the formula for updating the transformer node admittance matrix is:
Figure BDA0003232222250000021
Figure BDA0003232222250000022
wherein Z isBIs a transformer impedance matrix, B is a matrix representing the relation between current at two sides in the 1V equivalent transformer and equivalent impedance current, N is a matrix representing the relation between current at two ends of the transformer and an equivalent 1V transformer model, A is a matrix representing the relation between node current and branch current, and T is a matrix representing the relation between node current and branch currentagregIs the tap position of the transformer, is KV1Primary side voltage, KV2Is the secondary side voltage.
The invention provides a power flow calculation system with a voltage regulator microgrid, which comprises the following modules:
the model acquisition module is used for acquiring a microgrid model containing a voltage regulator;
the system node admittance matrix calculation module is used for calculating a system node admittance matrix of the microgrid model;
the three-phase asymmetric power flow calculation module is used for calculating the three-phase asymmetric power flow of the micro-grid model by adopting an implicit Zbus Gaussian method according to the system node admittance matrix;
the voltage regulator control voltage deviation calculation module is used for calculating the control voltage deviation of the voltage regulator according to the result of the three-phase asymmetric power flow;
the judging module is used for judging whether the control voltage deviation of the voltage regulator is smaller than a preset bandwidth, if so, the three-phase asymmetric power flow output module is triggered, and if not, the tap joint adjusting module of the voltage regulator is triggered;
the voltage regulator tap adjusting module is used for adjusting the voltage regulator tap according to the control voltage deviation of the voltage regulator and updating the transformer node admittance matrix;
the admittance matrix updating module is used for updating the system node admittance matrix according to the updated transformer node admittance matrix;
the three-phase asymmetric power flow updating module is used for returning to the three-phase asymmetric power flow calculating module to recalculate the three-phase asymmetric power flow of the microgrid model according to the updated system node admittance matrix;
and the three-phase asymmetric power flow output module is used for outputting the three-phase asymmetric power flow of the micro-grid model.
Optionally, the system node admittance matrix calculation module is specifically configured to:
calculating an admittance matrix of each element node of the microgrid model;
and calculating a system node admittance matrix of the microgrid model according to the element node admittance matrixes.
Optionally, the formula for calculating the control voltage deviation of the voltage regulator is:
ΔVreg=u/ptratio-Vdrrop-Vreg
wherein u is the node voltage of three-phase asymmetric load flow calculation,ptratioIs the voltage transformer transformation ratio of a voltage regulator, VdrropFor compensating circuit voltage drop, V, of voltage regulatorsregIs the control voltage of the voltage regulator.
Optionally, the regulator tap adjustment module is specifically configured to:
if the control voltage deviation of the voltage regulator is larger than the preset bandwidth and the control voltage deviation of the voltage regulator is larger than zero, controlling a tap joint of the voltage regulator to move downwards by one position, and updating a transformer node admittance matrix;
if the control voltage deviation of the voltage regulator is larger than the preset bandwidth and the control voltage deviation of the voltage regulator is smaller than zero, controlling a tap joint of the voltage regulator to move upwards by one position, and updating a transformer node admittance matrix;
and if the control voltage deviation of the voltage regulator is smaller than the preset bandwidth, the position of a tap joint of the voltage regulator is not moved, and the transformer node admittance matrix is not updated.
Optionally, the formula for updating the transformer node admittance matrix is as follows:
Figure BDA0003232222250000041
Figure BDA0003232222250000042
wherein Z isBIs a transformer impedance matrix, B is a matrix representing the relation between current at two sides in the 1V equivalent transformer and equivalent impedance current, N is a matrix representing the relation between current at two ends of the transformer and an equivalent 1V transformer model, A is a matrix representing the relation between node current and branch current, and T is a matrix representing the relation between node current and branch currentagregIs the tap position of the transformer, is KV1Primary side voltage, KV2Is the secondary side voltage.
According to the technical scheme, the embodiment of the invention has the following advantages:
the invention provides a load flow calculation method of a microgrid with a voltage regulator, which is characterized in that three-phase asymmetric load flow of a microgrid model is calculated according to a system node admittance matrix, further, the control voltage deviation of the voltage regulator is calculated, the variable quantity of the system node admittance matrix after the tap joint of the voltage regulator acts is determined according to the relation between the voltage regulator node admittance matrix and the tap joint, therefore, the position of the tap joint of the voltage regulator is calculated each time by utilizing a gradual iteration and correction mode, then the system node admittance matrix is updated according to the tap joint position, next load flow calculation is carried out by utilizing a hidden Zbus Gaussian method, when the control voltage deviation of the voltage regulator is smaller than a preset bandwidth, the iteration is stopped, the three-phase asymmetric load flow is output, and the calculation speed of the three-phase asymmetric load flow has better convergence effect and high efficiency compared with the former Newton algorithm, and the problem that when the load flow of the microgrid with a distributed power supply and the voltage regulator is solved by using the Newton algorithm in the prior art, slow convergence speed and low efficiency.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other related drawings can be obtained according to the drawings without creative efforts.
Fig. 1 is a schematic flow chart of a method for calculating a power flow of a microgrid with a voltage regulator according to an embodiment of the present invention;
FIG. 2 is a diagram of a three-phase transformer model provided in an embodiment of the present invention;
fig. 3 is a topology diagram of a voltage regulator model provided in an embodiment of the present invention;
fig. 4 is a schematic structural diagram of a line buck compensator of a voltage regulator according to an embodiment of the present invention;
fig. 5 is a schematic diagram of a tap position of a voltage regulator provided in an embodiment of the present invention;
FIG. 6 is a modified IEEE13 node system topology provided in embodiments of the present invention;
fig. 7 is a schematic structural diagram of a power flow calculation system including a voltage regulator microgrid provided in an embodiment of the present invention.
Detailed Description
In order to make the technical solutions of the present invention better understood, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, 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 given herein without making any creative effort, shall fall within the protection scope of the present invention.
For easy understanding, referring to fig. 1, an embodiment of a method for calculating a power flow of a microgrid with a voltage regulator according to the present invention includes:
step 101, obtaining a microgrid model containing a voltage regulator.
It should be noted that, in the embodiment of the present invention, a microgrid model including a voltage regulator needs to be obtained first, where the microgrid model includes component models, such as a transmission line model and a transformer model. The model of the transformer with the Y-D connection mode is shown in FIG. 2. The transformer model according to fig. 2 has:
Figure BDA0003232222250000061
wherein, YprimThe node admittance matrix of the transformer is calculated by the following steps:
Figure BDA0003232222250000062
in the formula, ZBThe short-circuit impedance matrix of the transformer is a 3 x 3 matrix, B represents a relation matrix of equivalent impedance current and current on two sides of the 1V equivalent transformer, is a 6 x 3 matrix, N represents a relation matrix of current on two sides of the transformer and a 1V equivalent transformer model, is a 4 x 2 matrix, and A is related to a transformer wiring mode and represents a matrix of relation between node current and branch current.
And 102, calculating a system node admittance matrix of the microgrid model.
It should be noted that the system node admittance matrix of the microgrid model can be obtained by calculation according to the node admittance matrix of each element, for example, the node admittance matrix of the transmission line, the transformer, the parallel compensation and the series compensation is calculated first, then the connection relationship between the elements is determined through the system topology, and the node admittance matrices of each element are combined through the connection relationship, so as to obtain the system node admittance matrix. This process is prior art and will not be described herein.
And 103, calculating the three-phase asymmetric power flow of the microgrid model by adopting an implicit Zbus Gaussian method according to the system node admittance matrix.
The implicit Zbus Gaussian method is an effective algorithm for three-phase load flow calculation of the power distribution network, iterative calculation is performed on the basis of a node voltage equation, and node injection current in the load flow calculation is obtained by dividing node injection power and node voltage. The network equation of the microgrid system can be expressed as:
I=YbusV
where vector V is the node voltage, vector I is the node injection current, YbusIs a node admittance matrix of the microgrid.
The node types of the microgrid may be divided into: the source point, the P-V nodes (e.g., generators and distributed power sources), and the remaining nodes, and thus, the above equation can be expressed as:
Figure BDA0003232222250000071
wherein, I1Injecting a current into the node of the source point, I2Injecting a current into a node of the P-V node3Injecting current for nodes of the rest nodes.
The ability of the P-V node type to maintain the reactive power variation has an allowable range, and if the required reactive power is outside this range, the P-V node needs to be converted to a P-Q node in order to maintain a constant voltage. The model of PV-PQ conversion can be used in a power flow meterAnd strengthening in the calculation method. If there is no constant power device in the system, as in the grid load flow calculation method, then I3Is a known constant injection current, V3Can be found according to the following formula:
V3=Y33 -1(I3(V3)-Y31V1-Y32V2)
v on the right side of the equation2Estimate V from the latest value of3Voltage value of, when in an iterative process V3Is smaller than the prescribed error value, a solution to the equation is obtained.
And 104, calculating the control voltage deviation of the voltage regulator according to the result of the three-phase asymmetric power flow.
It should be noted that, in the embodiment of the present invention, a topology diagram of a voltage regulator model is shown in fig. 3, and a topology diagram of a line step-down compensator in the voltage regulator model is shown in fig. 4. In the regulator model, each time the tap is adjusted, the voltage change amount corresponding to 0.00625, i.e. the voltage transformation ratio, can be calculated by the following formula:
TR=1±0.00625·Tap
wherein, TRFor the regulator ratio, Tap is the Tap (gear) position.
The voltage drop of the compensation circuit can be expressed as:
Figure BDA0003232222250000072
wherein, VdropTo compensate for voltage drop of the circuit; rcompΩAnd XcompΩTo compensate for the impedance of the circuit; rlineΩAnd XlineΩIs the impedance of a linear equivalent circuit; CTPIs the current of a linear equivalent circuit; n is a radical ofPTIs the transformation ratio of the voltage transformer.
The voltage regulator typically has 32 taps, 16 taps above neutral and 16 taps below neutral, and the output voltage of the transformer varies by 0.00625 units each time the taps are moved, as shown in fig. 5. The node admittance matrix of the transformer changes with the position of the tap, so the node admittance matrix can be used for reflecting the action of the voltage regulator. Taking a single-phase transformer as an example, when a tap is at a neutral point position, a node admittance matrix of the transformer is:
Figure BDA0003232222250000081
in the formula, ZBThe method is characterized in that the method is a transformer impedance matrix, B is a matrix representing the relation between currents on two sides in a 1V equivalent transformer and equivalent impedance currents, N is a matrix representing the relation between the currents on two ends of the transformer and an equivalent 1V transformer model, and A is a matrix representing the relation between node currents and branch currents.
Wherein:
Figure BDA0003232222250000082
with the adjustment of the secondary side tap of the transformer, the N matrix of the transformer is adjusted as follows:
Figure BDA0003232222250000083
in the formula, TagregIs the tap position of the transformer, is KV1Primary side voltage, KV2Is the secondary side voltage. The calculation formula of the control voltage deviation of the voltage regulator is as follows:
ΔVreg=u/ptratio-Vdrrop-Vreg
in the formula, u is the node voltage of three-phase asymmetric load flow calculation, ptratioIs the voltage transformer transformation ratio of a voltage regulator, VdrropFor compensating circuit voltage drop, V, of voltage regulatorsregIs the control voltage of the voltage regulator.
And 105, judging whether the control voltage deviation of the voltage regulator is smaller than the preset bandwidth, if so, jumping to step 109, and if not, executing step 106.
And 106, adjusting a tap joint of the voltage regulator according to the control voltage deviation of the voltage regulator, and updating the transformer node admittance matrix.
It should be noted that, when the deviation of the control voltage of the voltage regulator is not less than the preset bandwidth, the position of the tap of the voltage regulator needs to be adjusted, so as to update the node admittance matrix of the transformer according to the position of the tap of the voltage regulator, that is, the node admittance matrix Y of the transformer is updated by changing the N matrixprim
Specifically, if the control voltage deviation of the voltage regulator is greater than the preset bandwidth and the control voltage deviation of the voltage regulator is greater than zero, the tap joint of the voltage regulator is controlled to move downwards by one position, and the transformer node admittance matrix is updated. And if the control voltage deviation of the voltage regulator is greater than the preset bandwidth and the control voltage deviation of the voltage regulator is less than zero, controlling a tap joint of the voltage regulator to move upwards by one position, and updating the transformer node admittance matrix. And if the control voltage deviation of the voltage regulator is smaller than the preset bandwidth, the position of a tap joint of the voltage regulator is not moved, the transformer node admittance matrix is not updated, and the step 109 is directly skipped to output the three-phase asymmetric power flow of the microgrid model.
And step 107, updating the system node admittance matrix according to the updated transformer node admittance matrix.
It should be noted that the system node admittance matrix is formed by the node admittance matrices of the respective elements, and therefore, when the transformer node admittance matrix is updated, the system node admittance matrix also needs to be updated accordingly.
And 108, returning to the step 103 to recalculate the three-phase asymmetric power flow of the microgrid model according to the updated system node admittance matrix.
And step 109, outputting the three-phase asymmetric power flow of the microgrid model.
In the embodiment of the invention, when the three-phase asymmetric load flow calculation containing the voltage regulator is calculated, the voltage of a bus where the voltage regulator is located is updated by using an implicit Zbus Gaussian method every time, then the control voltage deviation of the voltage regulator is calculated, the position of a tap is determined according to the relation between the control voltage deviation and the bandwidth, a new node admittance matrix of the transformer is determined according to the position of the tap, so that the node admittance matrix of the system is updated, and then the next implicit Zbus Gaussian load flow calculation is carried out until the positions of the taps of all the voltage regulators do not act any more.
The load flow calculation method of the microgrid with the voltage regulator, provided by the embodiment of the invention, is characterized in that the three-phase asymmetric load flow of a microgrid model is calculated according to a system node admittance matrix, further the control voltage deviation of the voltage regulator is calculated, the variable quantity of the system node admittance matrix after the tap joint of the voltage regulator acts is determined according to the relation between the voltage regulator node admittance matrix and the tap joint, so that the position of the tap joint of the voltage regulator is calculated each time by utilizing a gradual iteration and correction mode, then the system node admittance matrix is updated according to the tap joint position, next load flow calculation is carried out by utilizing a hidden Zbus Gaussian method, when the control voltage deviation of the voltage regulator is smaller than a preset bandwidth, the iteration is stopped, the three-phase asymmetric load flow is output, and the calculation speed of the three-phase asymmetric load flow has better convergence effect and high efficiency compared with a Newton algorithm, and the problem that when the load flow of the microgrid with a distributed power supply and the voltage regulator is solved by using the Newton algorithm in the prior art, slow convergence speed and low efficiency.
In order to test and verify the load flow calculation method of the microgrid with the voltage regulator, provided by the embodiment of the invention, the test is carried out by using a modified IEEE13 node system. A modified IEEE13 node system topology is shown in fig. 6. The topology comprises 1 three-phase voltage source, 3 transformers, 3 voltage regulators, 36 distribution network transmission lines and 12 loads, wherein the loads connected with buses 9 and 13 are distributed power supplies, and the control parameters of a main voltage regulator are shown in table 1.
TABLE 1 Main Voltage regulator control parameters
vregReg1/V bandReg1/V Ptratio Rcomp/V Xcomp/V
110 3.6/2 20 2.2 9.5
The system is subjected to three-phase asymmetric load flow calculation by using an implicit Zbus Gaussian method, and partial calculation results are shown in Table 2.
Table 2 IEEE13 node system example partial load flow calculation results
Figure BDA0003232222250000101
The resulting voltage regulator transformation ratio calculation results are shown in table 3:
TABLE 3
Voltage regulator Transformation ratio
Reg1 0.95625
Reg2 1.05
Reg3 1.04375
The voltage regulator reaches a stable state after 10 actions, only 1.1s is needed for the whole calculation process by using matlab, and 2.2s is needed for the calculation by using a Newton method, so that the method has a better convergence effect and a higher calculation speed of the three-phase asymmetric power flow compared with the prior art.
For easy understanding, referring to fig. 7, an embodiment of a power flow calculation system including a voltage regulator microgrid is provided in the present invention, including:
a model obtaining module 201, configured to obtain a microgrid model including a voltage regulator;
a system node admittance matrix calculation module 202, configured to calculate a system node admittance matrix of the microgrid model;
the three-phase asymmetric power flow calculation module 203 is used for calculating the three-phase asymmetric power flow of the microgrid model by adopting an implicit Zbus Gaussian method according to the system node admittance matrix;
the voltage regulator control voltage deviation calculation module 204 is used for calculating the control voltage deviation of the voltage regulator according to the result of the three-phase asymmetric power flow;
a judging module 205, configured to judge whether a control voltage deviation of the voltage regulator is smaller than a preset bandwidth, if so, trigger the three-phase asymmetric power flow output module 209, and if not, trigger the voltage regulator tap adjusting module 206;
the voltage regulator tap adjusting module 206 is configured to adjust the voltage regulator tap according to the control voltage deviation of the voltage regulator, and update the transformer node admittance matrix;
an admittance matrix updating module 207, configured to update the system node admittance matrix according to the updated transformer node admittance matrix;
the three-phase asymmetric power flow updating module 208 is configured to return to the three-phase asymmetric power flow calculation module 203 to recalculate the three-phase asymmetric power flow of the microgrid model according to the updated system node admittance matrix;
and the three-phase asymmetric power flow output module 209 is configured to output a three-phase asymmetric power flow of the microgrid model.
The system node admittance matrix calculation module 202 is specifically configured to:
calculating an admittance matrix of each element node of the microgrid model;
and calculating a system node admittance matrix of the microgrid model according to the element node admittance matrixes.
The formula for calculating the control voltage deviation of the voltage regulator is as follows:
ΔVreg=u/ptratio-Vdrrop-Vreg
wherein u is the node voltage of three-phase asymmetric load flow calculation, ptratioIs the voltage transformer transformation ratio of a voltage regulator, VdrropFor compensating circuit voltage drop, V, of voltage regulatorsregIs the control voltage of the voltage regulator.
The regulator tap adjustment module 206 is specifically configured to:
if the control voltage deviation of the voltage regulator is larger than the preset bandwidth and the control voltage deviation of the voltage regulator is larger than zero, controlling a tap joint of the voltage regulator to move downwards by one position, and updating a transformer node admittance matrix;
if the control voltage deviation of the voltage regulator is larger than the preset bandwidth and the control voltage deviation of the voltage regulator is smaller than zero, controlling a tap joint of the voltage regulator to move upwards by one position, and updating a transformer node admittance matrix;
and if the control voltage deviation of the voltage regulator is smaller than the preset bandwidth, the position of a tap joint of the voltage regulator is not moved, and the transformer node admittance matrix is not updated.
The formula for updating the transformer node admittance matrix is as follows:
Figure BDA0003232222250000121
Figure BDA0003232222250000122
wherein,ZBIs a transformer impedance matrix, B is a matrix representing the relation between current at two sides in the 1V equivalent transformer and equivalent impedance current, N is a matrix representing the relation between current at two ends of the transformer and an equivalent 1V transformer model, A is a matrix representing the relation between node current and branch current, and T is a matrix representing the relation between node current and branch currentagregIs the tap position of the transformer, is KV1Primary side voltage, KV2Is the secondary side voltage.
The load flow calculation system containing the micro-grid of the voltage regulator, provided by the embodiment of the invention, calculates the three-phase asymmetric load flow of a micro-grid model according to the system node admittance matrix, further calculates the control voltage deviation of the voltage regulator, determines the variation of the system node admittance matrix after the tap joint of the voltage regulator acts according to the relation between the voltage regulator node admittance matrix and the tap joint, thereby calculating the position of the tap joint of the voltage regulator each time by utilizing a gradual iteration and correction mode, then updates the system node admittance matrix according to the tap joint position, then performs the next load flow calculation by utilizing a hidden Zbus Gaussian method, stops iteration and outputs the three-phase asymmetric load flow when the control voltage deviation of the voltage regulator is less than a preset bandwidth, has better convergence effect and high efficiency in the calculation speed of the three-phase asymmetric load flow compared with a Newton algorithm, and solves the problem that when the current technology uses the Newton algorithm to solve the load flow of the micro-grid containing the distributed power supply and the voltage regulator, slow convergence speed and low efficiency.
The above-mentioned embodiments are only used for illustrating the technical solutions of the present invention, and not for limiting the same; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.

Claims (10)

1. A load flow calculation method of a microgrid with a voltage regulator is characterized by comprising the following steps:
s1, acquiring a microgrid model containing a voltage regulator;
s2, calculating a system node admittance matrix of the microgrid model;
s3, calculating the three-phase asymmetric power flow of the microgrid model by adopting an implicit Zbus Gaussian method according to the system node admittance matrix;
s4, calculating the control voltage deviation of the voltage regulator according to the result of the three-phase asymmetric power flow;
s5, judging whether the control voltage deviation of the voltage regulator is smaller than a preset bandwidth, if so, jumping to S9, and if not, executing S6;
s6, adjusting the tap joint of the voltage regulator according to the control voltage deviation of the voltage regulator, and updating the transformer node admittance matrix;
s7, updating the system node admittance matrix according to the updated transformer node admittance matrix;
s8, returning to the step S3 to recalculate the three-phase asymmetric power flow of the microgrid model according to the updated system node admittance matrix;
and S9, outputting the three-phase asymmetric power flow of the microgrid model.
2. The method for calculating the power flow of the microgrid with a voltage regulator according to claim 1, wherein the step S2 specifically comprises:
s21, calculating an admittance matrix of each element node of the microgrid model;
and S22, calculating a system node admittance matrix of the microgrid model according to the element node admittance matrixes.
3. The method for calculating the power flow of the microgrid with a voltage regulator, as claimed in claim 1, wherein in step S4, the formula for calculating the deviation of the control voltage of the voltage regulator is as follows:
ΔVreg=u/ptratio-Vdrrop-Vreg
wherein u is the node voltage of three-phase asymmetric load flow calculation, ptratioIs the voltage transformer transformation ratio of a voltage regulator, VdrropFor compensating circuit voltage drop, V, of voltage regulatorsregIs the control voltage of the voltage regulator.
4. The method for calculating the power flow of the microgrid with a voltage regulator according to claim 1, wherein the step S6 specifically comprises:
s61, if the control voltage deviation of the voltage regulator is larger than the preset bandwidth and the control voltage deviation of the voltage regulator is larger than zero, controlling a tap joint of the voltage regulator to move downwards by one position, and updating a transformer node admittance matrix;
s62, if the control voltage deviation of the voltage regulator is larger than the preset bandwidth and the control voltage deviation of the voltage regulator is smaller than zero, controlling a tap joint of the voltage regulator to move upwards by one position, and updating a transformer node admittance matrix;
and S63, if the control voltage deviation of the voltage regulator is smaller than the preset bandwidth, the position of a tap of the voltage regulator is not moved, and the transformer node admittance matrix is not updated.
5. The method for calculating the power flow of the microgrid with a voltage regulator according to claim 4, wherein in the step S6, the formula for updating the transformer node admittance matrix is as follows:
Figure FDA0003232222240000021
Figure FDA0003232222240000022
wherein Z isBIs a transformer impedance matrix, B is a matrix representing the relation between current at two sides in the 1V equivalent transformer and equivalent impedance current, N is a matrix representing the relation between current at two ends of the transformer and an equivalent 1V transformer model, A is a matrix representing the relation between node current and branch current, and T is a matrix representing the relation between node current and branch currentagregIs the tap position of the transformer, is KV1Primary side voltage, KV2Is the secondary side voltage.
6. A load flow calculation system containing a voltage regulator microgrid is characterized by comprising the following modules:
the model acquisition module is used for acquiring a microgrid model containing a voltage regulator;
the system node admittance matrix calculation module is used for calculating a system node admittance matrix of the microgrid model;
the three-phase asymmetric power flow calculation module is used for calculating the three-phase asymmetric power flow of the micro-grid model by adopting an implicit Zbus Gaussian method according to the system node admittance matrix;
the voltage regulator control voltage deviation calculation module is used for calculating the control voltage deviation of the voltage regulator according to the result of the three-phase asymmetric power flow;
the judging module is used for judging whether the control voltage deviation of the voltage regulator is smaller than a preset bandwidth, if so, the three-phase asymmetric power flow output module is triggered, and if not, the tap joint adjusting module of the voltage regulator is triggered;
the voltage regulator tap adjusting module is used for adjusting the voltage regulator tap according to the control voltage deviation of the voltage regulator and updating the transformer node admittance matrix;
the admittance matrix updating module is used for updating the system node admittance matrix according to the updated transformer node admittance matrix;
the three-phase asymmetric power flow updating module is used for returning to the three-phase asymmetric power flow calculating module to recalculate the three-phase asymmetric power flow of the microgrid model according to the updated system node admittance matrix;
and the three-phase asymmetric power flow output module is used for outputting the three-phase asymmetric power flow of the micro-grid model.
7. The power flow calculation system of the microgrid with a voltage regulator of claim 6, wherein the system node admittance matrix calculation module is specifically configured to:
calculating an admittance matrix of each element node of the microgrid model;
and calculating a system node admittance matrix of the microgrid model according to the element node admittance matrixes.
8. The power flow calculation system of the microgrid with a voltage regulator of claim 6, wherein a formula for calculating the control voltage deviation of the voltage regulator is as follows:
ΔVreg=u/ptratio-Vdrrop-Vreg
wherein u is the node voltage of three-phase asymmetric load flow calculation, ptratioIs the voltage transformer transformation ratio of a voltage regulator, VdrropFor compensating circuit voltage drop, V, of voltage regulatorsregIs the control voltage of the voltage regulator.
9. The power flow calculation system of the regulator-included microgrid of claim 6, wherein the regulator tap adjustment module is specifically configured to:
if the control voltage deviation of the voltage regulator is larger than the preset bandwidth and the control voltage deviation of the voltage regulator is larger than zero, controlling a tap joint of the voltage regulator to move downwards by one position, and updating a transformer node admittance matrix;
if the control voltage deviation of the voltage regulator is larger than the preset bandwidth and the control voltage deviation of the voltage regulator is smaller than zero, controlling a tap joint of the voltage regulator to move upwards by one position, and updating a transformer node admittance matrix;
and if the control voltage deviation of the voltage regulator is smaller than the preset bandwidth, the position of a tap joint of the voltage regulator is not moved, and the transformer node admittance matrix is not updated.
10. The power flow calculation system of the microgrid with a voltage regulator of claim 9, wherein the formula for updating the transformer node admittance matrix is as follows:
Figure FDA0003232222240000031
Figure FDA0003232222240000032
wherein Z isBIs a transformer impedance matrix, B is a matrix representing the relation between current at two sides in the 1V equivalent transformer and equivalent impedance current, N is a matrix representing the relation between current at two ends of the transformer and an equivalent 1V transformer model, A is a matrix representing the relation between node current and branch current, and T is a matrix representing the relation between node current and branch currentagregIs the tap position of the transformer, is KV1Primary side voltage, KV2Is the secondary side voltage.
CN202110990763.5A 2021-08-26 2021-08-26 Load flow calculation method and system of microgrid with voltage regulator Active CN113690893B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202110990763.5A CN113690893B (en) 2021-08-26 2021-08-26 Load flow calculation method and system of microgrid with voltage regulator

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202110990763.5A CN113690893B (en) 2021-08-26 2021-08-26 Load flow calculation method and system of microgrid with voltage regulator

Publications (2)

Publication Number Publication Date
CN113690893A true CN113690893A (en) 2021-11-23
CN113690893B CN113690893B (en) 2022-08-02

Family

ID=78583104

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202110990763.5A Active CN113690893B (en) 2021-08-26 2021-08-26 Load flow calculation method and system of microgrid with voltage regulator

Country Status (1)

Country Link
CN (1) CN113690893B (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114188948A (en) * 2021-12-14 2022-03-15 国网福建省电力有限公司 Load flow calculation method considering asymmetric triangular constant-power load

Citations (12)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20110213606A1 (en) * 2009-09-01 2011-09-01 Aden Seaman Apparatus, methods and systems for parallel power flow calculation and power system simulation
WO2012103904A2 (en) * 2011-02-05 2012-08-09 Maschinenfabrik Reinhausen Gmbh Method and device for determining the load flow in a power supply network
CN102780220A (en) * 2012-07-27 2012-11-14 上海电力学院 Power flow calculation method for electric distribution network comprising PV constant distributed generation
CN102842908A (en) * 2012-09-11 2012-12-26 河海大学 Three-phase decoupling power flow calculation method for power distribution network containing multiple transformer branches
CN103683284A (en) * 2013-12-26 2014-03-26 国家电网公司 Three-phase imbalance three-phase imbalance method for power distribution network with distributed power supplies
CN103984822A (en) * 2014-05-16 2014-08-13 国家电网公司 Three phase flow implementation method based on advanced digital power system simulator
CN106099940A (en) * 2016-08-19 2016-11-09 云南电网有限责任公司电力科学研究院 The computational methods that in transformer station, busbar voltage is affected by load tap changer gear
CN107732918A (en) * 2017-11-10 2018-02-23 国网福建省电力有限公司 A kind of power distribution network three-phase optimal load flow computational methods based on permanent Hessian matrix
CN109510209A (en) * 2019-01-14 2019-03-22 广东电网有限责任公司 Consider the serial-parallel power grid probability load flow calculation method of the high n-dimensional random variable n containing correlation
CN110707701A (en) * 2019-09-19 2020-01-17 东北电力大学 Power flow calculation method for power system
CA3081430A1 (en) * 2019-06-05 2020-12-05 Sureshchandra B. Patel Methods of patel loadflow computation for electrical power system
CN112670987A (en) * 2020-12-30 2021-04-16 国网福建省电力有限公司 Power grid three-phase harmonic flow phasor matrix calculation method

Patent Citations (12)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20110213606A1 (en) * 2009-09-01 2011-09-01 Aden Seaman Apparatus, methods and systems for parallel power flow calculation and power system simulation
WO2012103904A2 (en) * 2011-02-05 2012-08-09 Maschinenfabrik Reinhausen Gmbh Method and device for determining the load flow in a power supply network
CN102780220A (en) * 2012-07-27 2012-11-14 上海电力学院 Power flow calculation method for electric distribution network comprising PV constant distributed generation
CN102842908A (en) * 2012-09-11 2012-12-26 河海大学 Three-phase decoupling power flow calculation method for power distribution network containing multiple transformer branches
CN103683284A (en) * 2013-12-26 2014-03-26 国家电网公司 Three-phase imbalance three-phase imbalance method for power distribution network with distributed power supplies
CN103984822A (en) * 2014-05-16 2014-08-13 国家电网公司 Three phase flow implementation method based on advanced digital power system simulator
CN106099940A (en) * 2016-08-19 2016-11-09 云南电网有限责任公司电力科学研究院 The computational methods that in transformer station, busbar voltage is affected by load tap changer gear
CN107732918A (en) * 2017-11-10 2018-02-23 国网福建省电力有限公司 A kind of power distribution network three-phase optimal load flow computational methods based on permanent Hessian matrix
CN109510209A (en) * 2019-01-14 2019-03-22 广东电网有限责任公司 Consider the serial-parallel power grid probability load flow calculation method of the high n-dimensional random variable n containing correlation
CA3081430A1 (en) * 2019-06-05 2020-12-05 Sureshchandra B. Patel Methods of patel loadflow computation for electrical power system
CN110707701A (en) * 2019-09-19 2020-01-17 东北电力大学 Power flow calculation method for power system
CN112670987A (en) * 2020-12-30 2021-04-16 国网福建省电力有限公司 Power grid three-phase harmonic flow phasor matrix calculation method

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
张春阳等: "基于隐式Zbus高斯法的配电网潮流计算", 《通信电源技术》 *

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114188948A (en) * 2021-12-14 2022-03-15 国网福建省电力有限公司 Load flow calculation method considering asymmetric triangular constant-power load
CN114188948B (en) * 2021-12-14 2023-06-23 国网福建省电力有限公司 Load flow calculation method considering asymmetric triangle constant power load

Also Published As

Publication number Publication date
CN113690893B (en) 2022-08-02

Similar Documents

Publication Publication Date Title
Beerten et al. Analysis of power sharing and voltage deviations in droop-controlled DC grids
CN110277789B (en) Multi-period reactive power optimization method and device for power grid
Zhao et al. Droop setting design for multi-terminal HVDC grids considering voltage deviation impacts
Lin et al. An improved proportional load-sharing strategy for meshed parallel inverters system with complex impedances
Wang et al. Distributed control of VSC-MTDC systems considering tradeoff between voltage regulation and power sharing
CN103236702A (en) Microgrid reactive power balanced allocation method based on impedance composite control
Mahdavi et al. Coordinated voltage regulator control in systems with high-level penetration of distributed energy resources
CN112234646A (en) Micro-grid-connected inverter control method adopting droop dynamic coefficient
CN113690893B (en) Load flow calculation method and system of microgrid with voltage regulator
Ni et al. Fuzzy logic-based virtual capacitor adaptive control for multiple HESSs in a DC microgrid system
Sánchez-Sánchez et al. Systematic and optimal design of droop-controlled MMCs in MT-HVDC networks
Gómez-Aleixandre et al. Adaptive droop controller for a hybrid 375 Vdc/48 Vdc/400 Vac AC/DC microgrid
CN112152268B (en) AC/DC sub-microgrid control method and inter-sub-microgrid group control method
CN113890039A (en) Multi-end flexible direct-current power distribution network power flow scheduling optimization method
CN111985066A (en) Average dynamic phasor model suitable for multi-voltage-level direct-current power distribution system
Moutevelis et al. Recursive secondary controller for voltage profile improvement based on primary virtual admittance control
CN108173272B (en) Distributed voltage control method based on-line sensitivity
CN116632918A (en) Method for increasing photovoltaic bearing capacity through closed loop reconstruction and voltage reactive power control
CN108306306A (en) A method of carrying out electric distribution network reactive-voltage control using distributed photovoltaic
CN109861311B (en) Micro-grid control method based on communication network
CN107465213A (en) A kind of power station AVC systems and its idle regulated quantity computational methods in real time
Martynyuk et al. Voltage regulation of a linear section of an extended distribution network with thyristor regulators of booster voltage (TRBV)
CN113346503A (en) Method and system for optimally controlling layered distributed voltage of power distribution network
CN111313430A (en) Distributed voltage control method based on local sensitivity information
Saralaya et al. An improved voltage controller for distribution static compensator

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant