CN108011372B - Electromechanical transient modeling method and device for static synchronous series compensator - Google Patents

Electromechanical transient modeling method and device for static synchronous series compensator Download PDF

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CN108011372B
CN108011372B CN201711324227.1A CN201711324227A CN108011372B CN 108011372 B CN108011372 B CN 108011372B CN 201711324227 A CN201711324227 A CN 201711324227A CN 108011372 B CN108011372 B CN 108011372B
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sssc
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static synchronous
series compensator
synchronous series
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CN108011372A (en
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宋洁莹
尉志勇
陆振纲
邓占锋
赵国亮
蔡林海
闫卫国
蒋菱
庄剑
张健
赵坚鹏
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State Grid Corp of China SGCC
State Grid Tianjin Electric Power Co Ltd
Global Energy Interconnection Research Institute
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State Grid Corp of China SGCC
State Grid Tianjin Electric Power Co Ltd
Global Energy Interconnection Research Institute
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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
    • H02J3/04—Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
    • H02J3/06—Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
    • 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]
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • 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
    • Y02E40/10—Flexible AC transmission systems [FACTS]

Abstract

The invention relates to an electromechanical transient modeling method and device of a static synchronous series compensator, wherein the method comprises the following steps: respectively constructing an alternating current side model and a direct current side model of the static synchronous series compensator; constructing a control scheme of the static synchronous series compensator and a system model of the static synchronous series compensator according to the alternating current side model and the direct current side model of the static synchronous series compensator; according to the technical scheme provided by the invention, the electromagnetic transient model of the static synchronous series compensator is simplified, and the dynamic process of the direct-current voltage of the static synchronous series compensator is considered to construct the overall control model of the static synchronous series compensator.

Description

Electromechanical transient modeling method and device for static synchronous series compensator
Technical Field
The invention relates to the field of modeling of static synchronous series compensators, in particular to an electromechanical transient modeling method and device of a static synchronous series compensator.
Background
The SSSC is a device used in series on a transmission line and its principle is to inject a voltage on the line connected in series, whose magnitude is independent of the line current and whose phase is perpendicular to the line current phase, and changing the magnitude of this voltage is equivalent to changing the effective impedance of the line, thereby controlling the system power flow. Because it directly controls the power flow of the power transmission system by changing the impedance of the power transmission line, the control effect is better than that of the STATCOM indirect control. And because the compensation device is based on a power electronic device, the device does not have subsynchronous resonance (SSR) caused by too high compensation degree like the TCSC. Finally, the main circuit of SSSC is only equivalent to the series side of UPFC, the power electronic device used by it is half of UPFC, and its control system is much simpler than UPFC, so its cost is much lower than that of UPFC with same capacity, but its effect in power flow control and system stability enhancement is not much different from that of UPFC[1][2][3]。
The SSSC has superior operating characteristics and application flexibility which other series compensation devices do not have at present, has important significance for improving the stability of a power grid and enhancing transmission capacity, and is an advanced FACTS device for building a modern power grid and ensuring the robustness of the power grid.
At present, most documents about SSSC are based on mathematical models thereof to construct an electromagnetic transient model of SSSC. The simulation modeling based on the electromagnetic transient model is complex, slow in calculation speed and poor in numerical convergence when used for analysis and calculation of SSSC (switched-in large-scale power system). And the stability simulation calculation of the large power grid puts higher requirements on an SSSC model, the simulation step is long, the calculation speed is high, and meanwhile, the stability and the convergence of the numerical value are required to be good. Therefore, there is a need to simplify the fast dynamic process of the SSSC and its controller on the basis of the SSSC electromagnetic transient model, while not affecting the external characteristics of the SSSC.
Disclosure of Invention
The invention provides an electromechanical transient modeling method and device of a static synchronous series compensator, aiming at simplifying an electromagnetic transient model of the static synchronous series compensator and constructing an integral control model of the static synchronous series compensator by considering the dynamic process of direct-current voltage of the static synchronous series compensator.
The purpose of the invention is realized by adopting the following technical scheme:
in a method of modeling an electromechanical transient for a static synchronous series compensator, the improvement comprising:
respectively constructing an alternating current side model and a direct current side model of the static synchronous series compensator;
and constructing a control scheme of the static synchronous series compensator and a system model of the static synchronous series compensator according to the alternating current side model and the direct current side model of the static synchronous series compensator.
Preferably, the alternating current side model for constructing the static synchronous series compensator comprises:
the input of the alternating current side model of the static synchronous series compensator is SSSC injection voltage amplitude, SSSC phase angle shift and SSSC installation line current;
and the output of the alternating-current side model of the static synchronous series compensator is a real part reference value and an imaginary part reference value of the current of the SSSC equivalent injection system.
Further, an alternating-current side model of the static synchronous series compensator is constructed by adopting an additional node equivalent current method, and then the alternating-current side model of the static synchronous series compensator is as follows:
Figure GDA0002883103530000021
in the above formula, the first and second carbon atoms are,
Figure GDA0002883103530000022
for the real reference value of the current injected into the system for SSSC equivalent,
Figure GDA0002883103530000023
is the imaginary reference value of the current of the SSSC equivalent injection system, K is the injection voltage amplitude of the SSSC, xssIs the equivalent reactance of SSSC, rssIs the equivalent resistance of SSSC, Il(I)Mounting the imaginary part of the line current, I, for SSSCl(R)Mounting the real part of the line current, | I, for the SSSClAnd | is the amplitude of the line current.
Preferably, the direct current side model for constructing the static synchronous series compensator comprises:
the input of the direct current side model of the static synchronous series compensator is SSSC injection voltage amplitude, SSSC phase angle shift and SSSC installation line current;
and the output of the direct current side model of the static synchronous series compensator is the direct current side voltage of the SSSC.
Further, a direct current side model of the static synchronous series compensator is constructed according to the following formula:
Figure GDA0002883103530000024
in the above formula, C is SSSC DC side capacitance value udcFor SSSC direct-current side capacitive electricityPressure value, Delta theta is the phase angle shift of SSSC, RdcIs the equivalent loss resistance of the SSSC, K is the injection voltage amplitude of the SSSC, | IlAnd | is the line current amplitude.
Preferably, the constructing a control scheme of the static synchronous series compensator and a system model of the static synchronous series compensator according to the alternating current side model and the direct current side model of the static synchronous series compensator includes:
the system model of the static synchronous series compensator comprises: the control method comprises the following steps of (1) carrying out an alternating-current side control model of a static synchronous series compensator, a direct-current side control model of the static synchronous series compensator and a modulation link model;
the input of an alternating-current side control model of the static synchronous series compensator is active power and an active power reference value flowing through an installation line, and the output is SSSC injection voltage amplitude;
the input of the direct current side control model of the static synchronous series compensator is the direct current side voltage of the SSSC and the direct current side voltage reference value, and the output is the phase angle deviation of the SSSC;
the input of the modulation link model is a real part reference value and an imaginary part reference value of current of an SSSC equivalent injection system, and the output is a real part and an imaginary part of additional injection current of the SSSC.
Further, an alternating-current side control model of the static synchronous series compensator is constructed according to the following formula:
K＝kp1(Pref-P)+ki1∫(Pref-P)dt
constructing a direct current side control model of the static synchronous series compensator according to the following formula:
Δθ＝kp2(udcref-udc)+ki2∫(udcref-udc)dt
constructing the modulation link model according to the following formula:
Figure GDA0002883103530000031
in the above-mentioned formula,
Figure GDA0002883103530000032
for the real reference value of the current injected into the system for SSSC equivalent,
Figure GDA0002883103530000033
is the imaginary reference value of the current of the SSSC equivalent injection system, K is the injection voltage amplitude of the SSSC, Delta theta is the phase angle shift of the SSSC, udcIs the value of capacitor voltage u on the direct current side of SSSCdcrefIs a DC voltage reference value, kp1、ki1、kp2And ki2To control the proportional-integral coefficient of the system, PrefThe method comprises the steps of setting an active power reference value for an SSSC installation line to flow through, setting P to be the active power for the SSSC installation line to flow through, setting s to be a complex variable and setting T to be delay time of time lag.
In an electromechanical transient modeling apparatus for a static synchronous series compensator, the improvement comprising:
the first construction module is used for respectively constructing an alternating current side model and a direct current side model of the static synchronous series compensator;
and the second construction module is used for constructing a control scheme of the static synchronous series compensator and constructing a system model of the static synchronous series compensator according to the alternating current side model and the direct current side model of the static synchronous series compensator.
Preferably, the first building block includes: the alternating current construction unit is used for constructing an alternating current side model of the static synchronous series compensator, wherein the input of the alternating current side model of the static synchronous series compensator is SSSC injection voltage amplitude, SSSC phase angle shift and SSSC installation line current;
and the output of the alternating-current side model of the static synchronous series compensator is a real part reference value and an imaginary part reference value of the current of the SSSC equivalent injection system.
Further, an alternating-current side model of the static synchronous series compensator is constructed by adopting an additional node equivalent current method, and then the alternating-current side model of the static synchronous series compensator is as follows:
Figure GDA0002883103530000041
in the above formula, the first and second carbon atoms are,
Figure GDA0002883103530000042
for the real reference value of the current injected into the system for SSSC equivalent,
Figure GDA0002883103530000043
is the imaginary reference value of the current of the SSSC equivalent injection system, K is the injection voltage amplitude of the SSSC, xssIs the equivalent reactance of SSSC, rssIs the equivalent resistance of SSSC, Il(I)Mounting the imaginary part of the line current, I, for SSSCl(R)Mounting the real part of the line current, | I, for the SSSClAnd | is the amplitude of the line current.
Preferably, the first building block includes:
the direct current construction unit is used for constructing a direct current side model of the static synchronous series compensator, wherein the input of the direct current side model of the static synchronous series compensator is SSSC injection voltage amplitude, SSSC phase angle shift and SSSC installation line current;
and the output of the direct current side model of the static synchronous series compensator is the direct current side voltage of the SSSC.
Further, a direct current side model of the static synchronous series compensator is constructed according to the following formula:
Figure GDA0002883103530000044
in the above formula, C is SSSC DC side capacitance value udcIs the capacitor voltage value at the direct current side of the SSSC, delta theta is the phase angle shift of the SSSC, RdcIs the equivalent loss resistance of the SSSC, K is the injection voltage amplitude of the SSSC, | IlAnd | is the line current amplitude.
Preferably, the second building block includes:
a system building unit, configured to build a system model of a static synchronous series compensator, where the system model of the static synchronous series compensator includes: the control method comprises the following steps of (1) carrying out an alternating-current side control model of a static synchronous series compensator, a direct-current side control model of the static synchronous series compensator and a modulation link model;
the input of an alternating-current side control model of the static synchronous series compensator is active power and an active power reference value flowing through an installation line, and the output is SSSC injection voltage amplitude;
the input of the direct current side control model of the static synchronous series compensator is the direct current side voltage of the SSSC and the direct current side voltage reference value, and the output is the phase angle deviation of the SSSC;
the input of the modulation link model is a real part reference value and an imaginary part reference value of current of an SSSC equivalent injection system, and the output is a real part and an imaginary part of additional injection current of the SSSC.
Further, an alternating-current side control model of the static synchronous series compensator is constructed according to the following formula:
K＝kp1(Pref-P)+ki1∫(Pref-P)dt
constructing a direct current side control model of the static synchronous series compensator according to the following formula:
Δθ＝kp2(udcref-udc)+ki2∫(udcref-udc)dt
constructing the modulation link model according to the following formula:
Figure GDA0002883103530000051
in the above-mentioned formula,
Figure GDA0002883103530000052
for the real reference value of the current injected into the system for SSSC equivalent,
Figure GDA0002883103530000053
is the imaginary reference value of the current of the SSSC equivalent injection system, K is the injection voltage amplitude of the SSSC, Delta theta is the phase angle shift of the SSSC, udcFor SSSC straightCurrent side capacitance voltage value, udcrefIs a DC voltage reference value, kp1、ki1、kp2And ki2To control the proportional-integral coefficient of the system, PrefThe method comprises the steps of setting an active power reference value for an SSSC installation line to flow through, setting P to be the active power for the SSSC installation line to flow through, setting s to be a complex variable and setting T to be delay time of time lag.
The invention has the beneficial effects that:
according to the technical scheme provided by the invention, an alternating current side model and a direct current side model of the static synchronous series compensator are established based on an electromagnetic transient model of the static synchronous series compensator by reasonable assumption, an overall control scheme of the static synchronous series compensator is designed based on the alternating current side model and the direct current side model of the static synchronous series compensator, the electromagnetic transient model of the static synchronous series compensator is simplified, a dynamic process of direct current voltage of the static synchronous series compensator is considered, research on the aspect of a domestic SSSC transient electromechanical model can be enriched, and the scheme is applied to analyze the influence of SSSC on the transient stability of a power system when the SSSC is connected into a large-scale power grid.
Drawings
FIG. 1 is a flow chart of a method of electromechanical transient modeling of a static synchronous series compensator of the present invention;
FIG. 2 is a general structure diagram of an SSSC electromechanical transient model in an embodiment of the invention;
FIG. 3 is a schematic diagram of an equivalent current method for an additional node in an embodiment of the invention;
FIG. 4 is a direct current equivalent circuit diagram of an SSSC according to an embodiment of the present invention;
FIG. 5 is a model block diagram of an SSSC closed-loop controller according to an embodiment of the present invention;
FIG. 6 is an equivalent power grid diagram of a certain area in China in the embodiment of the invention;
FIG. 7 is a line active current diagram for SSSC capacitive compensation in an embodiment of the present invention;
FIG. 8 is a graph of injection voltage for SSSC capacitive compensation in an embodiment of the present invention;
FIG. 9 is a graph of voltage offset angle for SSSC capacitive compensation in an embodiment of the present invention;
FIG. 10 is a line active current diagram for SSSC inductive compensation in an embodiment of the present invention;
FIG. 11 is a graph of injection voltage for SSSC inductive compensation in an embodiment of the present invention;
FIG. 12 is a graph of voltage offset angle for inductive compensation of SSSC in an embodiment of the present invention;
FIG. 13 is a schematic structural diagram of an electromechanical transient modeling apparatus of a static synchronous series compensator according to the present invention.
Detailed Description
The following detailed description of embodiments of the invention refers to the accompanying drawings.
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, 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 some, but not all, embodiments of the present invention. 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.
The invention provides an electromechanical transient modeling method of a static synchronous series compensator, as shown in figure 1, comprising the following steps:
101. respectively constructing an alternating current side model and a direct current side model of the static synchronous series compensator;
102. and designing a control scheme of the static synchronous series compensator according to the alternating current side model and the direct current side model of the static synchronous series compensator, and constructing a system model of the static synchronous series compensator.
Further, an overall structure of the SSSC electromechanical transient model provided by the present invention is shown in fig. 2, and includes: the SSSC control system model comprises an SSSC AC side model, an SSSC DC side model and an SSSC control system model, wherein the SSSC control system model comprises: the control method comprises the following steps of (1) carrying out an alternating-current side control model of a static synchronous series compensator, a direct-current side control model of the static synchronous series compensator and a modulation link model;
specifically, the step 101 includes:
designing an alternating current side model of the static synchronous series compensator, wherein the input of the alternating current side model of the static synchronous series compensator is SSSC injection voltage amplitude, SSSC phase angle shift and SSSC installation line current;
and the output of the alternating-current side model of the static synchronous series compensator is a real part reference value and an imaginary part reference value of the current of the SSSC equivalent injection system.
It is noted that the SSSC electromechanical transient model is an external equivalent model. Because all physical quantities in the electromechanical transient simulation program are expressed by three-sequence phasors of fundamental frequency, three-phase voltage and current of an AC interface node of the converter cannot be obtained, the topological structure of a valve bank inside the converter and the switching-on and switching-off control process of the valve bank do not need to be considered or cannot be considered in modeling.
The SSSC alternating-current side model is modeled by adopting an additional node equivalent current method, and a schematic diagram of the additional node equivalent current method is shown in FIG. 3. The method actually utilizes a method of interchanging equivalent values of a voltage source and a current source in a circuit theory to equalize injection voltage into injection current of nodes on two sides, and the mathematical expression of the method is shown as the following formula:
Figure GDA0002883103530000071
wherein:
Figure GDA0002883103530000072
injecting a voltage phasor for the SSSC; bss＝1/xssThe power factor is the susceptance of a series transformer and an SSSC direct current loop;
Figure GDA0002883103530000078
the current phasor of the SSSC line is divided by the modulus value to ensure that the injected voltage can follow the current phase angle of the line without being influenced by the magnitude of the current; k represents a variable for injection voltage amplitude control; + -represents capacitive compensation or inductive compensation.
Considering SSSC resistance, the AC side model of the static synchronous series compensator is as follows:
Figure GDA0002883103530000073
in the above formula, the first and second carbon atoms are,
Figure GDA0002883103530000074
for the real reference value of the current injected into the system for SSSC equivalent,
Figure GDA0002883103530000075
is the imaginary reference value of the current of the SSSC equivalent injection system, K is the injection voltage amplitude of the SSSC, xssIs the equivalent reactance of SSSC, rssIs the equivalent resistance of SSSC, Il(I)Mounting the imaginary part of the line current, I, for SSSCl(R)Mounting the real part of the line current, | I, for the SSSClAnd | is the amplitude of the line current.
The circuit on the direct current side of the SSSC is composed of a capacitor and an equivalent resistor simulating the loss of the converter, the equivalent circuit is shown in figure 4, and the direct current side model for constructing the static synchronous series compensator comprises the following components:
designing a direct current side model of the static synchronous series compensator, wherein the direct current side model of the static synchronous series compensator has inputs of SSSC injection voltage amplitude, SSSC phase angle shift and SSSC installation line current;
the output of the direct current side model of the static synchronous series compensator is the direct current side voltage of the SSSC;
the direct current side equation is shown below:
Figure GDA0002883103530000076
during normal operation of the SSSC, power P injected into the converter from the AC side of the SSSCacEqual to the power P of the converter injected on the DC sidedcThen, there are:
Figure GDA0002883103530000077
the dc side model of the static synchronous series compensator can be constructed as follows:
Figure GDA0002883103530000081
in the above formula, C is SSSC DC side capacitance value udcIs the capacitor voltage value at the direct current side of the SSSC, delta theta is the phase angle shift of the SSSC, RdcIs the equivalent loss resistance of the SSSC, K is the injection voltage amplitude of the SSSC, | IlAnd | is the line current amplitude.
Further, a control scheme of the static synchronous series compensator needs to be designed according to the ac-side model and the dc-side model of the static synchronous series compensator, and a system model of the static synchronous series compensator is constructed, so that the step 102 includes:
designing a system model of a static synchronous series compensator, wherein the system model of the static synchronous series compensator comprises: the control method comprises the following steps of (1) carrying out an alternating-current side control model of a static synchronous series compensator, a direct-current side control model of the static synchronous series compensator and a modulation link model;
the input of an alternating-current side control model of the static synchronous series compensator is active power and an active power reference value flowing through an installation line, and the output is SSSC injection voltage amplitude;
the input of the direct current side control model of the static synchronous series compensator is the direct current side voltage of the SSSC and the direct current side voltage reference value, and the output is the phase angle deviation of the SSSC;
the input of the modulation link model is a real part reference value and an imaginary part reference value of current of an SSSC equivalent injection system, and the output is a real part and an imaginary part of additional injection current of the SSSC.
And when a closed-loop controller model is constructed, the SSSC adopts fixed active power flow control, and the SSSC controller generates an equivalent voltage source amplitude K and a phase offset delta theta of the SSSC according to the line active offset and the direct-current side voltage offset. A block diagram of the SSSC closed-loop controller model is shown in fig. 5.
Additional injection current I of SSSCss(R)refAnd Iss(I)refActually, the on-off of the turn-off device is controlled by influencing the modulation link, so that the SSSC plays a role. The invention considers the universality of a modulation link, and considers the additional injection current I of the SSSCss(R)And Iss(I)Tracing Iss(R)refAnd Iss(I)refAnd if a certain time lag exists, constructing an alternating-current side control model of the static synchronous series compensator according to the following formula:
K＝kp1(Pref-P)+ki1∫(Pref-P)dt
constructing a direct current side control model of the static synchronous series compensator according to the following formula:
Δθ＝kp2(udcref-udc)+ki2∫(udcref-udc)dt
constructing the modulation link model according to the following formula:
Figure GDA0002883103530000091
in the above-mentioned formula,
Figure GDA0002883103530000092
for the real reference value of the current injected into the system for SSSC equivalent,
Figure GDA0002883103530000093
is the imaginary reference value of the current of the SSSC equivalent injection system, K is the injection voltage amplitude of the SSSC, Delta theta is the phase angle shift of the SSSC, udcIs the value of capacitor voltage u on the direct current side of SSSCdcrefIs a DC voltage reference value, kp1、ki1、kp2And ki2To control the proportional-integral coefficient of the system, PrefThe method comprises the steps of setting an active power reference value for an SSSC installation line to flow through, setting P to be the active power for the SSSC installation line to flow through, setting s to be a complex variable and setting T to be delay time of time lag.
In order to verify the correctness of the established model, the electromechanical transient model of the SSSC is established in the power system simulation software PSASP UD environment. The equivalent power grid of a certain region in China is set up in a PSASP simulation program of power system simulation software, and various operation conditions of the SSSC are simulated and analyzed. The equivalent grid is shown in figure 6.
The working condition I is as follows: at the moment, the active power flow of the two lines controlled by the SSSC is 100MW (reference capacity 1000MVA), the SSSC is put into the two lines at 5s, and the initial values of the active power of the two lines are 85.73MW and 96.93 MW. Therefore, the SSSC is now operating in a capacitive compensation state. The line active power flow is shown in figure 7, the injection voltage of the SSSC is shown in figure 8, and the voltage deviation angle of the SSSC is shown in figure 9.
As can be seen from the figure, the active power control of the compensation line by the SSSC is fast and accurate. When the SSSCs are arranged on the two lines, the active power flows of the two lines can be controlled to reach 100MW simultaneously. The SSSC injection voltage amplitude Vss at this time is 0.00267 and 0.00551 per unit, and the voltage offset angle Δ θ is 0.00722 and 0.00350 (radians), respectively.
Working conditions are as follows: at the moment, the active power flow of the two lines controlled by the SSSC is 80MW (reference capacity 1000MVA), the SSSC is put into the two lines at 5s, and the initial values of the active power of the two lines are 85.73MW and 96.93 MW. Therefore, the SSSC is now operating in an inductive compensation state. The line active power flow is shown in figure 10, the injection voltage of the SSSC is shown in figure 11, and the voltage deviation angle of the SSSC is shown in figure 12.
As can be seen from the figure, the control goal of the SSSC inductive compensation is to reduce the active power flow of the two lines to 80 MW. At this time, the SSSC inductive output voltage per unit values are 0.00627 and 0.00399, respectively, and the voltage offset angle Δ θ is 0.00383 and 0.00601 (radians), respectively.
Therefore, under different operation conditions of the SSSC, the electromechanical transient model of the SSSC can well control the active power flow of the line installed on the power grid, and the accuracy and the reliability of the established model are demonstrated.
The invention provides an electromechanical transient modeling device of a static synchronous series compensator, as shown in fig. 13, the device comprises:
the first construction module is used for respectively constructing an alternating current side model and a direct current side model of the static synchronous series compensator;
and the second construction module is used for designing a control scheme of the static synchronous series compensator according to the alternating current side model and the direct current side model of the static synchronous series compensator and constructing a system model of the static synchronous series compensator.
The first building block comprising: the alternating current construction unit is used for designing an alternating current side model of the static synchronous series compensator, wherein the input of the alternating current side model of the static synchronous series compensator is SSSC injection voltage amplitude, SSSC phase angle shift and SSSC installation line current;
and the output of the alternating-current side model of the static synchronous series compensator is a real part reference value and an imaginary part reference value of the current of the SSSC equivalent injection system.
An additional node equivalent current method is adopted to construct an alternating current side model of the static synchronous series compensator, namely the injected voltage of the SSSC is equivalent to the injected current of nodes on two sides, and the alternating current side model of the static synchronous series compensator is as follows:
Figure GDA0002883103530000101
in the above formula, the first and second carbon atoms are,
Figure GDA0002883103530000102
for the real reference value of the current injected into the system for SSSC equivalent,
Figure GDA0002883103530000103
is the imaginary reference value of the current of the SSSC equivalent injection system, K is the injection voltage amplitude of the SSSC, xssIs the equivalent reactance of SSSC, rssIs the equivalent resistance of SSSC, Il(I)Mounting the imaginary part of the line current, I, for SSSCl(R)Mounting the real part of the line current, | I, for the SSSClAnd | is the amplitude of the line current.
The first building block comprising:
the direct current construction unit is used for designing a direct current side model of the static synchronous series compensator, wherein the input of the direct current side model of the static synchronous series compensator is SSSC injection voltage amplitude, SSSC phase angle deviation and SSSC installation line current;
the output of the direct current side model of the static synchronous series compensator is the direct current side voltage of the SSSC;
constructing a direct-current side model of the static synchronous series compensator according to the following formula:
Figure GDA0002883103530000104
in the above formula, C is SSSC DC side capacitance value udcIs the capacitor voltage value at the direct current side of the SSSC, delta theta is the phase angle shift of the SSSC, RdcIs the equivalent loss resistance of the SSSC, K is the injection voltage amplitude of the SSSC, | IlAnd | is the line current amplitude.
The second building block comprising:
a system building unit, configured to design a system model of a static synchronous series compensator, where the system model of the static synchronous series compensator includes: the control method comprises the following steps of (1) carrying out an alternating-current side control model of a static synchronous series compensator, a direct-current side control model of the static synchronous series compensator and a modulation link model;
the input of an alternating-current side control model of the static synchronous series compensator is active power and an active power reference value flowing through an installation line, and the output is SSSC injection voltage amplitude;
the input of the direct current side control model of the static synchronous series compensator is the direct current side voltage of the SSSC and the direct current side voltage reference value, and the output is the phase angle deviation of the SSSC;
the input of the modulation link model is a real part reference value and an imaginary part reference value of current of an SSSC equivalent injection system, and the output is a real part and an imaginary part of additional injection current of the SSSC.
Constructing an alternating-current side control model of the static synchronous series compensator according to the following formula:
K＝kp1(Pref-P)+ki1∫(Pref-P)dt
constructing a direct current side control model of the static synchronous series compensator according to the following formula:
Δθ＝kp2(udcref-udc)+ki2∫(udcref-udc)dt
constructing the modulation link model according to the following formula:
Figure GDA0002883103530000111
in the above-mentioned formula,
Figure GDA0002883103530000112
for the real reference value of the current injected into the system for SSSC equivalent,
Figure GDA0002883103530000113
is the imaginary reference value of the current of the SSSC equivalent injection system, K is the injection voltage amplitude of the SSSC, Delta theta is the phase angle shift of the SSSC, udcIs the value of capacitor voltage u on the direct current side of SSSCdcrefIs a DC voltage reference value, kp1、ki1、kp2And ki2To control the proportional-integral coefficient of the system, PrefThe method comprises the steps of setting an active power reference value for an SSSC installation line to flow through, setting P to be the active power for the SSSC installation line to flow through, setting s to be a complex variable and setting T to be delay time of time lag.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solutions of the present invention and not for limiting the same, and although the present invention is described in detail with reference to the above embodiments, those of ordinary skill in the art should understand that: modifications and equivalents may be made to the embodiments of the invention without departing from the spirit and scope of the invention, which is to be covered by the claims.

Claims (4)

1. A method of electromechanical transient modeling of a static synchronous series compensator, the method comprising:
respectively constructing an alternating current side model and a direct current side model of a static synchronous series compensator SSSC;
constructing a control scheme of the static synchronous series compensator and a system model of the static synchronous series compensator according to the alternating current side model and the direct current side model of the static synchronous series compensator;
the alternating current side model for constructing the static synchronous series compensator comprises:
the input of the alternating current side model of the static synchronous series compensator is SSSC injection voltage amplitude, SSSC phase angle shift and SSSC installation line current;
the output of the alternating current side model of the static synchronous series compensator is a real part reference value and an imaginary part reference value of current of the SSSC equivalent injection system;
constructing an alternating-current side model of the static synchronous series compensator by adopting an additional node equivalent current method, wherein the alternating-current side model of the static synchronous series compensator is as follows:
Figure FDA0002903181720000011
in the above formula, the first and second carbon atoms are,
Figure FDA0002903181720000012
for the real reference value of the current injected into the system for SSSC equivalent,
Figure FDA0002903181720000013
is the imaginary reference value of the current of the SSSC equivalent injection system, K is the injection voltage amplitude of the SSSC, xssIs the equivalent reactance of SSSC, rssIs the equivalent resistance of SSSC, Il(I)Mounting the imaginary part of the line current, I, for SSSCl(R)Mounting the real part of the line current, | I, for the SSSClL is the amplitude of the line current;
the direct-current side model for constructing the static synchronous series compensator comprises:
the input of the direct current side model of the static synchronous series compensator is SSSC injection voltage amplitude, SSSC phase angle shift and SSSC installation line current;
the output of the direct current side model of the static synchronous series compensator is the direct current side voltage of the SSSC;
constructing a direct-current side model of the static synchronous series compensator according to the following formula:
Figure FDA0002903181720000014
in the above formula, C is SSSC DC side capacitance value udcIs the direct-current side voltage of SSSC, Delta theta is the phase angle shift of SSSC, RdcIs the equivalent loss resistance of the SSSC, K is the injection voltage amplitude of the SSSC, | IlL is the line current amplitude;
the constructing a control scheme of the static synchronous series compensator and a system model of the static synchronous series compensator according to the alternating current side model and the direct current side model of the static synchronous series compensator comprises the following steps:
the system model of the static synchronous series compensator comprises: the control method comprises the following steps of (1) carrying out an alternating-current side control model of a static synchronous series compensator, a direct-current side control model of the static synchronous series compensator and a modulation link model;
the input of an alternating-current side control model of the static synchronous series compensator is active power and an active power reference value flowing through an installation line, and the output is SSSC injection voltage amplitude;
the input of the direct current side control model of the static synchronous series compensator is the direct current side voltage of the SSSC and the direct current side voltage reference value, and the output is the phase angle deviation of the SSSC;
the input of the modulation link model is a real part reference value and an imaginary part reference value of current of an SSSC equivalent injection system, and the output is a real part and an imaginary part of additional injection current of the SSSC.
2. The method of claim 1, wherein an ac-side control model of the static synchronous series compensator is constructed as follows:
K＝kp1(Pref-P)+ki1∫(Pref-P)dt
constructing a direct current side control model of the static synchronous series compensator according to the following formula:
Δθ＝kp2(udcref-udc)+ki2∫(udcref-udc)dt
constructing the modulation link model according to the following formula:
Figure FDA0002903181720000021
in the above-mentioned formula,
Figure FDA0002903181720000022
for the real reference value of the current injected into the system for SSSC equivalent,
Figure FDA0002903181720000023
is the imaginary reference value of the current of the SSSC equivalent injection system, K is the injection voltage amplitude of the SSSC, Delta theta is the phase angle shift of the SSSC, udcIs the direct-current side voltage of SSSC udcrefIs a DC side voltage reference value, kp1、ki1、kp2And ki2To control the proportional-integral coefficient of the system, PrefThe method comprises the steps of setting an active power reference value for an SSSC installation line to flow through, setting P to be the active power for the SSSC installation line to flow through, setting s to be a complex variable and setting T to be delay time of time lag.
3. An electromechanical transient modeling apparatus of a static synchronous series compensator, the apparatus comprising:
the device comprises a first construction module, a second construction module and a third construction module, wherein the first construction module is used for respectively constructing an alternating current side model and a direct current side model of a static synchronous series compensator SSSC;
the second construction module is used for constructing a control scheme of the static synchronous series compensator and constructing a system model of the static synchronous series compensator according to the alternating current side model and the direct current side model of the static synchronous series compensator;
the first building block comprising: the alternating current construction unit is used for constructing an alternating current side model of the static synchronous series compensator, wherein the input of the alternating current side model of the static synchronous series compensator is SSSC injection voltage amplitude, SSSC phase angle shift and SSSC installation line current;
the output of the alternating current side model of the static synchronous series compensator is a real part reference value and an imaginary part reference value of current of the SSSC equivalent injection system;
constructing an alternating-current side model of the static synchronous series compensator by adopting an additional node equivalent current method, wherein the alternating-current side model of the static synchronous series compensator is as follows:
Figure FDA0002903181720000031
in the above formula, the first and second carbon atoms are,
Figure FDA0002903181720000032
for the real reference value of the current injected into the system for SSSC equivalent,
Figure FDA0002903181720000033
is the imaginary reference value of the current of the SSSC equivalent injection system, K is the injection voltage amplitude of the SSSC, xssIs the equivalent reactance of SSSC, rssIs the equivalent resistance of SSSC, Il(I)Mounting the imaginary part of the line current, I, for SSSCl(R)Mounting the real part of the line current, | I, for the SSSClL is the amplitude of the line current;
the first building block comprising:
the direct current construction unit is used for constructing a direct current side model of the static synchronous series compensator, wherein the input of the direct current side model of the static synchronous series compensator is SSSC injection voltage amplitude, SSSC phase angle shift and SSSC installation line current;
the output of the direct current side model of the static synchronous series compensator is the direct current side voltage of the SSSC;
constructing a direct-current side model of the static synchronous series compensator according to the following formula:
Figure FDA0002903181720000034
in the above formula, C is SSSC DC side capacitance value udcIs the direct-current side voltage of SSSC, Delta theta is the phase angle shift of SSSC, RdcIs the equivalent loss resistance of the SSSC, K is the injection voltage amplitude of the SSSC, | IlL is the line current amplitude;
the second building block comprising:
a system building unit, configured to build a system model of a static synchronous series compensator, where the system model of the static synchronous series compensator includes: the control method comprises the following steps of (1) carrying out an alternating-current side control model of a static synchronous series compensator, a direct-current side control model of the static synchronous series compensator and a modulation link model;
the input of an alternating-current side control model of the static synchronous series compensator is active power and an active power reference value flowing through an installation line, and the output is SSSC injection voltage amplitude;
the input of the direct current side control model of the static synchronous series compensator is the direct current side voltage of the SSSC and the direct current side voltage reference value, and the output is the phase angle deviation of the SSSC;
the input of the modulation link model is a real part reference value and an imaginary part reference value of current of an SSSC equivalent injection system, and the output is a real part and an imaginary part of additional injection current of the SSSC.
4. The apparatus of claim 3, wherein an AC-side control model of the static synchronous series compensator is constructed as follows:
K＝kp1(Pref-P)+ki1∫(Pref-P)dt
constructing a direct current side control model of the static synchronous series compensator according to the following formula:
Δθ＝kp2(udcref-udc)+ki2∫(udcref-udc)dt
constructing the modulation link model according to the following formula:
Figure FDA0002903181720000041
in the above-mentioned formula,
Figure FDA0002903181720000042
for the real reference value of the current injected into the system for SSSC equivalent,
Figure FDA0002903181720000043
is the imaginary reference value of the current of the SSSC equivalent injection system, K is the injection voltage amplitude of the SSSC, Delta theta is the phase angle shift of the SSSC, udcIs the direct-current side voltage of SSSC udcrefIs a DC side voltage reference value, kp1、ki1、kp2And ki2To control the proportional-integral coefficient of the system, PrefThe method comprises the steps of setting an active power reference value for an SSSC installation line to flow through, setting P to be the active power for the SSSC installation line to flow through, setting s to be a complex variable and setting T to be delay time of time lag.
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Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104917195A (en) * 2015-07-01 2015-09-16 国网智能电网研究院 Static synchronous series compensation device and control method thereof
WO2017000224A1 (en) * 2015-06-30 2017-01-05 Abb Technology Ltd Transformer-less static synchronous series compensator and protection method thereof
CN106329520A (en) * 2016-09-21 2017-01-11 河海大学 PSASP (Power System Analysis Software Package)-based UPFC (Unified Power Flow Controller) modeling method
CN106877363A (en) * 2017-02-23 2017-06-20 全球能源互联网研究院 A kind of SSSC suppression system sub-synchronous oscillation method and device
CN107069741A (en) * 2017-04-20 2017-08-18 河海大学 A kind of novel linear tidal current computing method
CN107093901A (en) * 2016-12-19 2017-08-25 国家电网公司 The machine-electricity transient model and emulation mode of a kind of Distributed Power Flow controller
CN107123981A (en) * 2017-03-31 2017-09-01 全球能源互联网研究院 Flexible direct current and direct current network electromechanical transient simulation method and system based on MMC

Patent Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2017000224A1 (en) * 2015-06-30 2017-01-05 Abb Technology Ltd Transformer-less static synchronous series compensator and protection method thereof
CN104917195A (en) * 2015-07-01 2015-09-16 国网智能电网研究院 Static synchronous series compensation device and control method thereof
CN106329520A (en) * 2016-09-21 2017-01-11 河海大学 PSASP (Power System Analysis Software Package)-based UPFC (Unified Power Flow Controller) modeling method
CN107093901A (en) * 2016-12-19 2017-08-25 国家电网公司 The machine-electricity transient model and emulation mode of a kind of Distributed Power Flow controller
CN106877363A (en) * 2017-02-23 2017-06-20 全球能源互联网研究院 A kind of SSSC suppression system sub-synchronous oscillation method and device
CN107123981A (en) * 2017-03-31 2017-09-01 全球能源互联网研究院 Flexible direct current and direct current network electromechanical transient simulation method and system based on MMC
CN107069741A (en) * 2017-04-20 2017-08-18 河海大学 A kind of novel linear tidal current computing method

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
静态同步串联补偿器机电暂态及电磁暂态特性研究;赵建军;《中国博士学位论文全文数据库 工程科技II辑》;20070430;第1-116页 *

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