CN110165664B - Decision method for segmented investment construction of distributed power flow controller - Google Patents
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Abstract
The invention relates to a decision method for sectional investment construction of a distributed power flow controller, which considers the regulation and control capacity of the distributed power flow controller on a power grid, respectively provides an investment cost function considering the regulation and control variable of a distributed converter, an economic profit function caused by the improvement of transmission capacity, an economic profit function caused by the expansion of a voltage safety stable range and an economic profit function caused by the expansion of a power angle stable range, provides an objective function Z with the maximum difference between investment profit and investment cost under the condition of considering the operation safety constraint of the power grid, solves an equation with constraint, can obtain the device capacity number of the distributed power flow controller constructed in batches in periods with the maximum profit, and avoids fund idling and equipment depreciation loss caused by one-time construction.
Description
Technical Field
The invention belongs to the field of electric power technology and electric power economy, and particularly relates to a decision method for sectional investment construction of a distributed power flow controller.
Background
The distributed power flow controller consists of a plurality of groups of converters and can be installed along a power transmission line, as shown in figure 1.
The power flow controller is composed of low-cost power electronic devices, can be installed and detached in an electrified mode, is composed of single-phase converters, is economically superior to a centralized power flow controller, and has stronger regulation and control capacity on a power system, so that more and more attention of power workers is attracted in recent years.
The centralized power flow controller is constructed once, but the requirements for power supply delivery and load requirements are not large at the initial stage and the middle stage of the construction, so that the capacity of the centralized power flow controller is idle, additional devices are damaged, and the investment benefit is influenced. Due to the advantages of the components and the installation mode of the distributed power flow control, investment construction can be carried out in batches in stages according to the requirements of power supplies and loads at two ends of a line.
Disclosure of Invention
The invention mainly solves the technical problems of the prior art and the like; the decision method for batch and stage investment construction of the distributed power flow controller unit is provided according to dynamic changes of power supply delivery power and load power demand, and meanwhile, the distributed power flow control capacity is considered, so that the investment income of power facilities is expanded on the basis of ensuring safe and stable operation of a power grid and normal power trading.
The technical problem of the invention is mainly solved by the following technical scheme:
a decision method for the sectional investment construction of a distributed power flow controller is characterized in that the distributed power flow controller is subjected to circuit equivalence and definedIs a power supply voltage,Respectively, the line end voltages;for the voltage of the head-end bus,Is the terminal bus voltage;is an equivalent voltage source of the DPFC group 1 series-side converter,is an equivalent voltage source of the DPFC group 2 series-side converter,an equivalent voltage source of the DPFC nth group of series-side converters; x 1 、X 2 、X n Respectively equivalent reactance, X, of each series side of DPFC s 、X r Respectively a first end reactance and a second end reactance of the circuit; i is L Is the line current; p L 、Q L Is the line power; based on the following definitions and an objective function;
defining in sequence:
defining one, investment cost;
defining the transmission capacity of the required line in a future year as P Lref(i) 、Q Lref(i) Line initial transmission power is P Lref(0) 、Q Lref(0) The capacity of the installed distributed power flow controller isWherein n is the number of stages of construction;
because the designed capacity of the line is not variable, the transmission capacity can be improved only by means of the regulation and control capacity of the distributed power flow controller, then the distributed power flow controller which requires investment in the i stage can completely bear the load requirement, and the power flow regulation and control capacity of the distributed power flow controller on the transmission line is mainly changed by variablesTo function, the invention proposes to embody the control variable in the installed capacity S se(i) In, i.e.
Then, considering the discount rate, the present invention proposes that the investment cost of the i-th stage is described by the following formula:
wherein r is the discount rate, and C is the investment amount of unit volume;
defining two, investment income;
after the distributed power flow controller is arranged, the power transmission capacity of the power transmission line can be improved, and the safe and stable range of the voltage of a power grid and the stable range of a power angle can be expanded;
after the current rate is considered, the invention provides a variable-containing method for improving the income caused by the transmission capacityFunction F of 1 Specifically, the method comprises the following steps:
after the distributed power flow controller is arranged, the reactive component Q of the distributed power flow controller can be arranged se(i) Regulating and controlling the bus voltage of the line to reach the target valueTherefore, the safety and stability range of the line voltage is improved, and the improvement of the power transmission capacity is finally reflected; therefore, the invention provides an economic gain function caused by the expansion of the safe stability range of the power grid voltage as follows:
wherein,and P is se(i) Installing an active power part of the capacity of the distributed power flow controller device for the ith stage;
the distributed power flow compensator changes the electrical parameters of the line by sending reactive power to the installed power line, the change of the electrical parameters changes the power angle stability margin of the power grid, and the improvement of the power angle stability margin further improves the power transmission capacity of the power line, so the invention proposes to take the part into the economic benefit, and proposes the economic benefit description function caused by the improvement of the power angle stability range after considering the current rate as follows:
defining an objective function Z as the maximum difference between the investment income and the investment cost; namely, it is
And satisfy circuit thermal stability limit, merit angle stability limit and busbar voltage safety limit, promptly:
s.t.
the method specifically comprises the following steps:
step 1, assuming that a construction stage is i;
step 2, providing the corresponding line transmission power P meeting the power supply transmission and load power consumption requirements in the ith stage Lref(i) ,Q Lref(i) ;
Step 3, finding out the current pasting rate;
step 4, providing original transmission capacity of the line, considering the regulation and control capacity of the distributed power flow controller which is put into the previous (i-1) stage, and combining the regulation and control capacity of the distributed power flow controller device capacity of the ith stage and the current discount rate, obtaining the investment cost of the ith stage through the bulletin (2)
Step 5, obtaining a revenue function caused by improving the power transmission capacity according to the formula (3)
Step 6, obtaining an economic profit function caused by the expansion of the voltage safety and stability range according to the formula (4)
And 7, obtaining an economic benefit function caused by the expansion of the stable range of the power angle according to the formula (5)
Step 8, forming a planning model of the optimal installation capacity of the multi-stage distributed power flow controller formed by the formulas (6) and (7);
and 9, solving the multi-stage planning model formed by the formulas (6) and (7) by adopting a universal dynamic planning solving method to obtain the optimal installation capacity of the distributed power flow controller in stages.
Therefore, the invention has the following advantages: the invention considers the regulation and control capability of the distributed power flow controller to the power grid, respectively provides an investment cost function considering the regulation and control variable of the distributed converter, an economic profit function caused by the improvement of the transmission capability, an economic profit function caused by the expansion of the voltage safety and stability range and an economic profit function caused by the expansion of the power angle stability range, provides an objective function Z with the maximum difference between the investment profit and the investment cost under the condition of considering the operation safety constraint of the power grid, solves the equation with the constraint, can obtain the capacity number of devices for constructing the distributed power flow controller in batches in stages with the maximum profit, and avoids the fund idle and equipment depreciation loss caused by one-time construction.
Drawings
Fig. 1 is a schematic diagram of the installation of the distributed power flow controller of the invention.
Figure 2 is an equivalent circuit of the distributed power flow controller of the present invention.
Detailed Description
The technical scheme of the invention is further specifically described by the following embodiments and the accompanying drawings.
Example (b):
1. target value determination requiring distributed power flow controller regulation and control in the ith stage
For the distributed power flow controller shown in fig. 1, an equivalent circuit can be used as shown in fig. 2.
Fig. 2 equivalent circuit of distributed power flow controller
In the figure, the position of the upper end of the main shaft,is a power supply voltage,Respectively, the line end voltages;is the voltage of the head-end bus,Is the terminal bus voltage;is an equivalent voltage source of the DPFC group 1 series-side converter,is an equivalent voltage source of the DPFC group 2 series-side converter,an equivalent voltage source of the converter at the nth group of the DPFC; x 1 、X 2 、X n Respectively equivalent reactance, X, of each series side of DPFC s 、X r Respectively a first end reactance and a second end reactance of the circuit; i is L Is the line current; p L 、Q L Is the line power.
2. Investment cost
Let P be the transmission capacity of the line required in the future Lref(i) 、Q Lref(i) The transmission capacity of the line design is P Lref(0) 、Q Lref(0) The capacity of the installed distributed power flow controller isWherein n is the number of stages of construction.
Since the designed capacity of the line is not variable, the transmission capacity can be improved only by means of the regulation and control capacity of the distributed power flow controller, and then, the i-th stage requiresThe distributed power flow controller for investment can completely bear the load requirement, and the power flow regulation and control capability of the distributed power flow controller on the transmission line is mainly controlled by variablesTo function, the invention proposes to embody the control variable in the installed capacity S se(i) In, i.e.
Then, considering the discount rate, the investment cost of the i stage of the invention is:
wherein r is the discount rate and C is the investment amount of unit volume.
3. Return on investment
After the distributed power flow controller is arranged, the power transmission capacity of the power transmission line can be improved, and the safe stability range and the power angle stability range of the power grid voltage can be enlarged.
After the current rate is considered, the invention provides a variable-containing method for improving the income caused by the transmission capacityFunction F of 1 Specifically, the method comprises the following steps:
after the distributed power flow controller is arranged, the reactive component Q of the distributed power flow controller can be arranged se(i) Regulating and controlling the bus voltage of the line to reach the target valueThereby increasing the voltage of the lineThe full stability range and finally the improvement of the transmission capacity. Therefore, the present invention proposes that the economic benefit function caused by the expansion of the safety and stability range of the grid voltage is:
wherein,and P is sei() And installing the active power part of the capacity of the distributed power flow controller device for the ith stage.
The distributed power flow compensator changes the electrical parameters of the line by sending reactive power to the installed power line, the change of the electrical parameters changes the power angle stability margin of the power grid, and the improvement of the power angle stability margin further improves the power transmission capacity of the power line, so that the invention provides the power flow compensation method caused by the improvement of the power angle stability range after considering the current rate
The economic gain function is:
4. objective function
The invention proposes that the difference between the investment profit and the investment cost is the largest as the objective function Z. Namely, it is
And satisfy circuit thermal stability limit, merit angle stability limit and busbar voltage safety limit, promptly:
s.t.
5. carrying out the steps
Step 1, assuming that a construction stage is i;
step 2, providing the corresponding line transmission power P meeting the power supply transmission and load power consumption requirements in the ith stage Lref(i) ,Q Lref(i) ;
Step 3, finding out the current pasting rate;
step 4, giving the original transmission capability of the line, considering the regulation and control capability of the distributed power flow controller which is put into the previous (i-1) stage, combining the regulation and control capability of the device capacity of the distributed power flow controller in the ith stage and the current discount rate, and giving the investment cost in the ith stage through a bulletin (2)
Step 5, obtaining a revenue function caused by improving the power transmission capacity according to the formula (3)
Step 6, obtaining an economic profit function caused by the expansion of the voltage safety and stability range according to the formula (4)
And 7, obtaining an economic gain function caused by the expansion of the stable range of the power angle from the formula (5)
Step 8, forming a planning model of the optimal installation capacity of the multi-stage distributed power flow controller formed by the formulas (6) and (7);
and 9, solving the multi-stage planning model formed by the formulas (6) and (7) by adopting a universal dynamic planning solving method to obtain the optimal installation capacity of the distributed power flow controller in stages.
The specific embodiments described herein are merely illustrative of the spirit of the invention. Various modifications or additions may be made to the described embodiments or alternatives may be employed by those skilled in the art without departing from the spirit or ambit of the invention as defined in the appended claims.
Claims (1)
1. A decision method for the sectional investment construction of a distributed power flow controller is characterized in that the distributed power flow controller is subjected to circuit equivalence and definedIs a power supply voltage,Respectively the line end voltages;is the voltage of the head-end bus,Is the terminal bus voltage;is an equivalent voltage source of the DPFC group 1 series-side converter,is an equivalent voltage source of the DPFC group 2 series-side converter,an equivalent voltage source of the converter at the nth group of the DPFC; x 1 、X 2 、X n Respectively equivalent reactance, X, of each series side of DPFC s 、X r Respectively a first end reactance and a second end reactance of the circuit; i is L Is the line current; p L 、Q L Is the line power; based on the following definitions and an objective function;
defining in sequence:
defining one, investment cost;
define the future year requirement lineHas a transport capacity of P Lref(i) 、Q Lref(i) Line initial transmission power is P Lref(0) 、Q Lref(0) Installed distributed power flow controllers of capacityWherein n is the number of stages of construction;
the distributed power flow controller requiring investment in the i stage can completely bear the load requirement, and the power flow regulation and control capability of the distributed power flow controller on the power transmission line is mainly controlled by variablesTo act to reflect the control variable in the installed capacity S se(i) In, i.e.
Then, considering the discount rate, the investment cost of the i stage of the invention is:
wherein r is the discount rate, and C is the investment amount of unit volume;
defining two, investment income;
after consideration of the discount rate, the variable is used for improving the income caused by the transmission capacityFunction F of 1 Specifically, the method comprises the following steps:
after the distributed power flow controller is installed, the distributed power flow controller can be installedReactive component Q of distributed power flow controller se(i) Regulating the bus voltage of the line to its target valueTherefore, the safety and stability range of the voltage of the line is enlarged, and the increase of the power transmission capacity is finally reflected; the economic gain function caused by the expansion of the safe stability range of the power grid voltage is as follows:
wherein,and P is se(i) Installing an active power part of the capacity of the distributed power flow controller device for the ith stage;
the distributed power flow compensator changes the electrical parameters of the line by sending reactive power to the installed power line, and the change of the electrical parameters changes the power angle stability margin of the power grid, and the improvement of the power angle stability margin further improves the power transmission capacity of the power line, so that after the current rate is considered, the economic benefit function caused by the improvement of the power angle stability range is as follows:
defining an objective function Z as the maximum difference between the investment income and the investment cost; namely that
And satisfy circuit thermal stability limit, merit angle stability limit and busbar voltage safety limit, promptly:
the method specifically comprises the following steps:
step 1, assuming that a construction stage is i;
step 2, providing the corresponding line transmission power P meeting the power supply transmission and load power consumption requirements in the ith stage Lref(i) ,Q Lref(i) ;
Step 3, finding out the current pasting rate;
step 4, providing original transmission capacity of the line, considering the regulation and control capacity of the distributed power flow controller which is put into the previous (i-1) stage, and combining the regulation and control capacity of the distributed power flow controller device capacity of the ith stage and the current discount rate, obtaining the investment cost of the ith stage through the bulletin (2)
Step 5, obtaining a revenue function caused by improving the power transmission capacity according to the formula (3)
Step 6, obtaining an economic gain function caused by the expansion of the voltage safety and stability range through the formula (4)
And 7, obtaining an economic benefit function caused by the expansion of the stable range of the power angle according to the formula (5)
Step 8, forming a planning model of the optimal installation capacity of the multi-stage distributed power flow controller formed by the formulas (6) and (7);
and 9, solving the multi-stage planning model consisting of the formula (6) and the formula (7) by adopting a general dynamic planning solving method to obtain the optimal installation capacity of the distributed power flow controller in stages.
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