CN112398140B - Power equivalent simulation method for static synchronous series compensator of power grid - Google Patents
Power equivalent simulation method for static synchronous series compensator of power grid 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
- H02J3/18—Arrangements for adjusting, eliminating or compensating reactive power in networks
- H02J3/1807—Arrangements for adjusting, eliminating or compensating reactive power in networks using series compensators
- H02J3/1814—Arrangements for adjusting, eliminating or compensating reactive power in networks using series compensators wherein al least one reactive element is actively controlled by a bridge converter, e.g. unified power flow controllers [UPFC]
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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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- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
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Abstract
The invention discloses a power equivalent simulation method of a static synchronous series compensator of a power grid, which comprises the following steps: calculating the complex power of the head end and the tail end of an alternating current line where the static synchronous series compensator is located according to the output voltage of the static synchronous series compensator and the related parameters of the series transmission line
(ii) a The method comprises the steps of regarding the head ends and the tail ends of series transmission lines of all static synchronous series compensators in a power grid as power flow nodes, and simulating the static synchronous series compensators and the series transmission lines thereof by using equivalent active power and reactive power for analyzing or calculating the power grid. The substantial effects of the invention are as follows: in the analysis of the alternating current system, only two PQ nodes are needed to simulate the static synchronous series compensator of the power grid and the series transmission line thereof, so that the corresponding analysis and calculation are facilitated.
Description
Technical Field
The patent relates to the technical field of static synchronous series compensators, in particular to a power equivalent simulation method of a static synchronous series compensator of a power grid.
Background
Because factors such as a power grid power supply, a net rack, a load and the like have the characteristic of unbalanced distribution, the tide distribution of the alternating current transmission line is generally unbalanced. Part of the transmission lines are in a power heavy-load operation state, and the other part of the transmission lines are in a power light-load operation state. Part of the transmission lines are in a heavy-load operation state for a long time and become weak links of the power grid, and once the transmission lines break down, the safety and stability of the power grid are seriously influenced. In order to solve the above problems, an effective method is to actively control the transmission power of the transmission line by building and applying devices such as a power grid tidal current controller, etc., and transfer part of the power of the heavy-load line to the light-load line, so as to realize line transmission power balance. The modularized static synchronous series compensator based on the H-bridge cascade can meet the requirement of high-voltage output through the H-bridge module cascade, does not need a step-up transformer, and can be directly connected into a high-voltage transmission line in series. The line delivered power can be actively regulated by controlling the output voltage of the static synchronous series compensator.
Since the static synchronous series compensator is connected with an ac voltage in series in an ac line, the ac voltage is inconvenient for system analysis application.
Chinese patent publication No. CN104052073B, publication date 2017, 02/01, discloses a line power control method and system for a unified power flow controller, which includes outer loop line power control, inner loop valve side current control and converter valve control; calculating to obtain reference values Isedref and Iseqref of the current at the valve side of the converter at the series side according to the input line power commands Pref and Qref, the actually measured line voltage UL and the actually measured line powers Pline and Qline by the outer loop line power control; the inner ring valve side current control calculates a converter output voltage reference value Ucref according to a valve side current reference value output by the outer ring power control, the actually measured valve side current and the actually measured valve side voltage; and finally, the converter outputs corresponding voltage according to the voltage reference value, and the power of the circuit is controlled to reach the reference value. The control method is simple and practical, has high reliability, can quickly and accurately control the power of the line, and can realize the independent and decoupling control of the active power and the reactive power of the line.
Disclosure of Invention
The technical problem to be solved by the invention is as follows: the static synchronous series compensator has the problem of inconvenience in system analysis application. The method simplifies the simulation of the static synchronous series compensator in the analysis or calculation of the power grid and improves the analysis or calculation efficiency of the power grid.
The technical scheme adopted by the invention for solving the technical problems is as follows:
a power equivalent simulation method for a static synchronous series compensator of a power grid comprises the following steps:
A) calculating the complex power of the head end and the tail end of an alternating current line where the static synchronous series compensator is located according to the output voltage of the static synchronous series compensator and the related parameters of the series transmission line
B) The method comprises the steps of regarding the head ends and the tail ends of series transmission lines of all static synchronous series compensators in a power grid as power flow PQ nodes, and simulating the static synchronous series compensators and the series transmission lines thereof by using equivalent active power and reactive power for analyzing or calculating the power grid.
And calculating to obtain equivalent active power and reactive power of the static synchronous series compensator by taking all the static synchronous series compensators in the power grid as power flow nodes. Two power flow nodes are used for equivalently simulating the static synchronous series compensator and the series transmission line thereof, so that the specific analysis of the power system is facilitated.
Preferably, in step a), the complex power at the head end of the ac line is calculated by directing the positive direction of the power from the head end of the line to the tail end of the line
The method comprises the following steps:
complex power at the end of an ac line
Wherein z is the line impedance amplitude, V 1 Is the effective value of the voltage of the head end of the transmission line, V 2 Is the effective value of the voltage of the end phase of the transmission line, V 0 Is the effective value of the voltage drop of the self phase of the transmission line, alpha is the impedance angle of the transmission line, and gamma is the phasor of the voltage drop of the self phase of the transmission line
Lagging transmission line head and tail end voltage drop phasor
Delta is the phase voltage phasor of the head end of the transmission line
Leading transmission line end phase voltage phasor
Beta is the voltage component at the head end of the transmission line
Lagging line head and tail end voltage drop phasor
Angle of (D) for use at the head end and tail end of the transmission line, respectively (P) 1 ，Q 1 ) And (P) 2 ，Q 2 ) Two PQ nodes are shown to simulate a static synchronous series compensator and its series transmission line.
The equivalent power of the static synchronous series compensator can be represented by the transmission line parameters and the output voltage of the static synchronous series compensator.
Preferably, the active power P of the head end of the transmission line 1 And reactive power Q 1 Comprises the following steps:
active power P at the end of the transmission line 2 And reactive power Q 2 Comprises the following steps:
wherein,
wherein, V 1 Is the effective value of the voltage of the head end of the transmission line, V 2 Is the effective value of the voltage of the end phase of the transmission line, V p Phase voltage output by the static synchronous series compensator device, z is the amplitude of line impedance, alpha is the angle of line impedance, and beta is
Hysteresis
The phase angle of δ is
Advance in
Phase angle of gamma is
Hysteresis
The phase angle of (c).
As a preference, the first and second liquid crystal compositions are,
calculating phasor of phase voltage drop of transmission line
Wherein,
the phasor of the phase voltage drop at the head and tail ends of the line,
the phasor of the phase voltage output by the static synchronous series compensator apparatus, gamma being
Hysteresis
The angle of (a) is determined,
calculating line phase current
Neglecting the loss of the static synchronous series compensator, the static synchronous series compensator only exchanges reactive power with the AC line and does not exchange active power, so
And
and is vertical. Due to the fact that
And
viewed as directions perpendicular to each other, will
Advance in
The direction of 90 degrees is denoted as scalar V p Positive direction of (1), V p Is the output phase voltage of the static synchronous series compensator, the value of which is equal to the effective value of the voltage, and the positive and negative of which are determined by the direction of the voltage.
The self complex impedance of the power transmission line is Z & ltz & gt alpha & ltR & gt + jX & lt & gt, the impedance amplitude and the impedance angle of the power transmission line are Z and alpha respectively, and R and X are a resistance value and a reactance value of the power transmission line respectively. The output phase voltage phasor of the static synchronous series compensator device is
The phase current phasor of the line is
Advance in
Is equal to the line impedance angle a. Under the condition of an inductive working condition,
advance in
Is 90 degrees, V p If the value is more than 0, the equivalent value of the static synchronous series compensator is inductive reactance,
and
the included angle therebetween is (a +90 °). Under the condition of a capacitive working condition,
hysteresis
Is 90 degrees, V p Less than 0, the equivalent value of the static synchronous series compensator is capacitive reactance,
and
the included angle between the two is (90-a).
Preferably, V 0 The calculating method comprises the following steps:
wherein, V p The output phase voltage of the static synchronous series compensator has the value equal to the effective value of the voltage, and the positive and negative values are determined by the direction of the voltage.
The substantial effects of the invention are as follows: the power equivalent modeling method of the static synchronous series compensator of the power grid can use one active power node and one reactive power node to equivalently simulate the static synchronous series compensator, so that system analysis can be conveniently carried out.
Drawings
Fig. 1 is a schematic structural diagram of a static synchronous series compensator of a power grid.
Fig. 2 is a voltage and current phasor diagram of the static synchronous series compensator system according to the first embodiment.
FIG. 3 is a comparison graph of the calculated value and the simulated value of the static synchronous series compensator in the first embodiment.
Wherein: 1. static synchronous series compensator, 2, alternating current transmission line.
Detailed Description
The technical solution of the present invention will be further specifically described below by way of specific examples.
The first embodiment is as follows:
fig. 1 is a system structure diagram of a static synchronous series compensator 1 of a power grid, wherein a static synchronous series compensator 1 device is connected in series with an alternating current transmission line 2, and each phase of static synchronous series compensator 1 device is formed by connecting n H-bridge modules and a connecting reactor in series. The phase voltage phasors at the head end and the tail end of the alternating current circuit are respectively as follows:
wherein the amplitude and phase angle of the voltage of the head end of the line are respectively V 1 And 0, the amplitude and phase angle of the phase voltage at the tail end of the line are respectively V 2 And (- δ). The self complex impedance of the power transmission line is Z & ltz & gt & lt alpha & gt R & ltx & gt, wherein the amplitude and the impedance angle of the line impedance are Z and a respectively, R and X are a line resistance value and a reactance value respectively, and the impedance of the power transmission line is counted by a connecting reactor of the static synchronous series compensator 1. The output voltage phasor of the static synchronous series compensator 1 device is
The phase current phasor of the line is
As shown in FIG. 2, the voltage drop at the head and tail ends of the AC line is
Wherein beta is
And
the included angle therebetween. Voltage drop of transmission line
Is equal to
And
the difference between:
wherein gamma is
Hysteresis
The angle of (c). Phase current phasor of line
Equal to the phase voltage phase drop of the line itself divided by the line impedance:
As shown in fig. 2, under inductive conditions,
advance in
The angle of (a) is 90 degrees,
and
the included angle therebetween is (a +90 °). Under the condition of a capacitive working condition,
hysteresis
The angle of (a) is 90 degrees,
and
the included angle between the two is (90-a). To reduce the scalar operation to a scalar operation, the scalar operation is reduced to
Advance in
The 90 degree direction is denoted as scalar V p The positive direction of (1) can be expressed as
Wherein I is phasor
Effective value of (V) p Is the output phase voltage of the static synchronous series compensator, the value of which is equal to the effective value of the voltage, and the positive and negative of which are determined by the direction of the voltage.
The static synchronous series compensator 1 arrangement causes a change in the reactance value in the total equivalent complex impedance of the series line. Thus, the static synchronous series compensator 1 can use a variable reactance X p To equal the value:
wherein V 0 Is phasor
Is determined. Under inductive conditions, V p If the value is more than 0, the equivalent value of the static synchronous series compensator 1 is inductive reactance; in capacitive mode, V p And when the value is less than 0, the equivalent value of the static synchronous series compensator 1 is capacitive reactance. Voltage drop amplitude of the transmission line:
wherein V p The output phase voltage of the static synchronous series compensator has the value equal to the effective value of the voltage, and the positive and negative of the voltage are determined by the direction of the voltage. Neglecting the active loss of the static synchronous series compensator 1, the complex power of the head end of the alternating current line is:
wherein V 0 Is phasor
Is determined. The active power and the reactive power at the head end of the line are expressed by the transmission line parameters and the output voltage of the static synchronous series compensator 1:
during system analysis, the head end and the tail end of a series transmission line of all static synchronous series compensators in the power grid are both regarded as load flow nodes and are respectively used at the head end and the tail end of the transmission line (P) 1 ，Q 1 ) And (P) 2 ，Q 2 ) Two PQ nodes are shown to simulate a static synchronous series compensator and its series transmission line for grid analysis or calculation.
In order to verify the accuracy of power equivalent modeling of the static synchronous series compensator 1 in detail, a static synchronous series compensator 1 system with three H-bridge modules in each phase is constructed.
Under the working condition of the embodiment, the phasor angular difference of the voltages at the first end and the last end of the transmission line is 20 degrees, and the effective values of the voltages at the first end and the last end of the transmission line are all 220 kV. The inductance and the resistance of the alternating current transmission line are 60mH and 1 omega respectively. The dc voltage of each H-bridge module is 1.8 kV. The modulation strategy of the static synchronous series compensator adopts carrier phase shift pulse width modulation, and the carrier frequency is 1150 Hz. As shown in fig. 3, when the output voltage of the static synchronous series compensator 1 is gradually increased from-3.6 kV to 3.6kV, the calculated active power at the head end of the line is reduced accordingly; the output voltage of the static synchronous series compensator 1 is from-3.6 kV to 3.6kV, a simulation point is set when every 1.2kV is added, and the calculated value of the active power of the head end of the line is verified to be consistent with the electromagnetic transient simulation value. As shown in fig. 3, when the output voltage of the static synchronous series compensator 1 is gradually increased from-3.6 kV to 3.6kV, the calculated reactive power at the head end of the line is reduced; the output voltage of the static synchronous series compensator 1 is from-3.6 kV to 3.6kV, a simulation point is set every time 1.2kV is added, and the calculated value of the reactive power at the head end of the line is verified to be consistent with the electromagnetic transient simulation value.
It can be seen that by adopting the control method of the embodiment, the active power node and the reactive power node can be used for carrying out accurate equivalent simulation on the static synchronous series compensator 1 of the power grid. In the analysis of the alternating current system, only two PQ nodes are needed to simulate the static synchronous series compensator 1 of the power grid and the series transmission line thereof, so that the corresponding analysis and calculation are facilitated.
The above-described embodiment is a preferred embodiment of the present invention, and is not intended to limit the present invention in any way, and other variations and modifications may be made without departing from the spirit and scope of the invention as defined in the appended claims.
Claims (5)
1. A power equivalent simulation method of a static synchronous series compensator of a power grid is characterized in that,
the method comprises the following steps:
A) calculating the complex power of the head and tail ends of the AC line where the static synchronous series compensator is located according to the output voltage of the static synchronous series compensator and the related parameters of the series transmission line thereof
B) The method comprises the following steps that the head ends and the tail ends of series transmission lines of all static synchronous series compensators in a power grid are regarded as power flow PQ nodes, equivalent active power and reactive power are used for simulating the static synchronous series compensators and the series transmission lines thereof and are used for power grid analysis or calculation;
in step A), the positive direction of the power is from the head end of the line to the tail end of the line, and the complex power of the head end of the alternating current line is calculated
The method comprises the following steps:
terminal of AC lineComplex power of
Wherein z is the line impedance amplitude, V 1 Is an effective value of the voltage of the head end of the transmission line, V 2 Is the effective value of the voltage of the tail end of the transmission line, V 0 Is the effective value of the voltage drop of the own phase of the transmission line, alpha is the impedance angle of the line, and gamma is the voltage drop phasor of the own phase of the transmission line
Lagging transmission line head and tail end voltage drop phasor
Delta is the phase voltage phasor of the head end of the transmission line
Leading transmission line end phase voltage phasor
Beta is the voltage component at the head end of the transmission line
Voltage drop phasor at head and tail ends of lagging line
Angle of (P) at the head end and tail end of the transmission line respectively 1 ，Q 1 ) And (P) 2 ，Q 2 ) Two PQ nodes are shown to simulate a static synchronous series compensator and its series transmission line.
2. The power equivalent simulation method of the grid static synchronous series compensator according to claim 1, wherein the active power P of the head end of the transmission line 1 And reactive power Q 1 Comprises the following steps:
active power P at the end of the transmission line 2 And reactive power Q 2 Comprises the following steps:
wherein,
wherein, V 1 Is an effective value of the voltage of the head end of the transmission line, V 2 Is the effective value of the voltage of the tail end of the transmission line, V p Phase voltage output by the static synchronous series compensator device, z is the amplitude of line impedance, alpha is the angle of line impedance, and beta is
Hysteresis
The phase angle of δ is
Advance in
Phase angle of gamma is
Hysteresis
The phase angle of (c).
3. The power equivalent simulation method of the grid static synchronous series compensator according to claim 1, wherein the self complex impedance of the transmission line is as follows: z & lt alpha & gt R & lt + jX,
wherein z and alpha are respectively the amplitude and the angle of the line impedance, R and X are respectively the resistance value and the reactance value of the line,
calculating phasor of phase voltage drop of transmission line
Wherein,
the phasor of the phase voltage drop at the line head and tail ends,
the phasor of the phase voltage output by the static synchronous series compensator apparatus, gamma being
Hysteresis
The angle of (a) is determined,
calculating line phase current
Due to the fact that
And
viewed as directions perpendicular to each other, will
Advance in
The direction of the degree is marked as scalar V p Positive direction of (1), V p The output phase voltage of the static synchronous series compensator has the value equal to the effective value of the voltage, and the positive and negative values are determined by the direction of the voltage.
4. The power equivalent simulation method of the grid static synchronous series compensator according to claim 3,
the calculating method comprises the following steps:
wherein,
the phasor of the phase voltage at the head end of the alternating current line,
is the phasor of the terminal phase voltage of the ac line.
5. The power equivalent simulation method of the grid static synchronous series compensator as claimed in claim 1, wherein V 0 The calculation method comprises
Wherein, V p Is the output phase voltage of the static synchronous series compensator, the value of which is equal to the effective value of the voltage, and the positive and negative of which are determined by the direction of the voltage.
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| US7813884B2 (en) * | 2008-01-14 | 2010-10-12 | Chang Gung University | Method of calculating power flow solution of a power grid that includes generalized power flow controllers |
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