Energy and Power Engineering, 2013, 5, 608-611
doi:10.4236/epe.2013.54B117 Published Online July 2013 (http://www.scirp.org/journal/epe)
Optimal Dispatching Model Considering the Pumped Sto-
rage Power Plant in Hunan
Xinfan Jiang1, Dunnan Liu2, Siyuan Zhang1, Wenlei Zhang1
1Dispatching Control Center, Hunan Electric Power Company, Changsha, China
2School of Economics and Management, North China Electric Power University
Email: jiangxinfan@hotmail.com, liudunnan@163.com, Zhangsiyuan@hnepc.com.cn
Received January, 2013
ABSTRACT
This paper made a research on the Intelligent Optimization Operating Modeling of Pumped Storage Power Station in
Hunan Power Grid. First it introduces the characteristics of Hunan power grid and analysis the practical requirement of
dispatching. Then it brings forward the intelligent optimization model and set up running model for pumped storage
power station of Hei Mi-feng. At last, it introduces the application of pumped storage power station in Hunan power
grid and proves the effectiveness of the optimization models.
Keywords: Intelligent Optimization; Dispatching Model; Pumped Storage Power Station
1. Introduction
With the large capacity, high parameters coal-fired power
plants are put into operation, especially the development
of nuclear power plants, peak shaving, safe and stable
operation and reliable power supply face more severe
situation. Fully realizing the status and the function of
the pumped-storage power stations in the safe and stable
operation of the power system[1], researching the
pumped storage power plants’ related problems of bene-
fits and development and, further researching the
pumped storage power plants optimal operation model,
have important realistic meaning and theoretical research
value to promote the development of the pumped-storage
power station and to maintain the safe and stable opera-
tion of the grid[2].
This paper combining with the characteristics and ac-
tual needs in scheduling of Hunan power grid, studies the
intelligent optimization strategy which the Hei Mi-feng
pumped storage power plant is in scheduling, and estab-
lishes corresponding optimal operation model.
2. The Methods and Problems of
Dispatching Peak Shaving in Hunan Grid
At present, to satisfy the peak power demand, Hunan grid
system solves the peak[3] shaving problem mainly
through the following means:
a) Thermal power: small units such as 50,125,200 MW
can pitch peak through start-stop, large units such as 300
MW can output variable load.
b) Hydraulic power: it is very ideal to pitch peak at de-
livery period, but most of the hydropower plants can only
guarantee the output operation at that time.
c) DSM: take measures of lime price to some big us-
ers.
Based on the specific characteristics of Hunan power
grid, and existing load methods, it can be concluded that
there are several problems in Hunan grid as following:
a) The peak shaving capacity of hydraulic power is
easily limited in rainy season.
b) Thermal power load does have some disadvantages.
c) The big difference between peak and valley puts
forward higher request to power load performance.
The starting of Hei Mi-feng pumped storage power
plants will naturally help to solve the problem of Hunan
network load. The power station, which is rapid and flexi-
ble to start and stop, energy efficiency, economic, envi-
ronmental protection characteristics, will bring huge
benefits for grid. It also helps the power grid to make
load of electric decisions of pumped storage units, ther-
mal power unit, and the coexistence of hydro turbine
more scientific and reasonable.
3. Hei Mi-feng Pumped Storage Power Plant
Profile
Hei Mi-feng pumped storage power station is located in
the Qiaoyi town, Wangcheng County, Hunan province. It
is close to Hunan grid electricity load center Changsha,
Zhuzhou and Xiangtan area, south from Changsha city
just 25 km, from Zhuzhou and Xiangtan less than 50 km,
the geographical position is superior.
Copyright © 2013 SciRes. EPE
X. F. JIANG ET AL. 609
Engineering hub mainly consists by three big building
supper reservoir, water power generation system and
lower reservoir, which installing four 300 MW each re-
versible hydraulic pump unit, gross installed capacity is
1200 MW. It is designed to generate peak power, 1.606
billion kW·h, and to consume 2.141 billion kW·h by
pumping each year.
4. The Scheduling Strategy of Pumped
Storage Power Plant
4.1. Considering the Basic Idea of Pumped
Storage Power Plant Grid Dispatching Mod-
el
The basic idea of the scheduling model is: start from the
whole power system and the reality, fully consider of the
technical and economic characteristics of all kinds of
power station in the system[4] (including hydropower
and thermal power, nuclear power and pumped storage
power station, etc.) and relevant operation system con-
straints under the situation that the load, the installed
capacity of power station and hydropower station’s hy-
drological data known. Arrange the working position and
capacity of each power station in system typical day
(week) month after month in load curves; make full use
of hydropower, to reduce the system conventional ther-
mal power unit boot capacity. Make work position and
work capacity of pumped storage, thermal power, nuclear
power stations and their start-stop by economical effi-
ciency, to meet operation system load demand on the
best ways.
The goal is to make the entire units operation cost
minimum in the system, and also to make the conven-
tional thermal power unit capacity and the electricity
generation least, to achieve the purpose of section coal.
Operation simulation calculation process and proce-
dure roughly as follows:
1) Look for the work position of hydropower, accord-
ing to the adjustable output and expected power in hy-
drological years,
2) Get the work position pumped storage power plant,
3) Calculate the generation process, storage capacity,
electricity and operation cost, etc., according to the work
position.
4.2. The Mathematics Model of the Pumped
Storage Power Station’s Scheduling
Planning
4.2.1. The Objective Function
The objective function of operation simulation of pumped
storage power plant is the minimized operation cost in
research period
1
min ()
T
tt t
t
CFR

D (1)
C: the total cost of operation every week in the system,
ten thousand;
t
F
is the fixed operation cost at t period in the system;
t is the fuel cost at t period in the system; t is the
variable cost at t period in the system, including the start-
stop losses and the operation cost of the hydropower and
pumped-storage units, ten thousand; T is the number of
operation cycle time, this paper take T = 168 h.
R D
Hydropower units with no coal consumption, so fuel
costs can be neglected[5]; the pumped-storage units re-
place other units to generate power in power generation
condition, its power benefit is the operating costs of the
replaced units, when the pumped-storage unit in pumping
condition, the pumping cost equals the increased supply
of pumping thermal power unit of power operation costs.
So the objective function for the plan is practical calcula-
tion and pumped storage power station in valley of
pumping after thermal power unit system operation cost
and the pumped-storage unit to substitute other unit’s
load the fixed cost saving the minimum sum.
4.2.2. Constra i nt Con d i tion
a) The related constraints of pumped storage
1) Pumped storage capacity constraints
Power generation capacity constraint
,max
0()
gg
Pt P
(2)
Pumping capacity constraint
,max
0()
pu pu
Pt P
(3)
Without other restrictions, to make full use of the unit
capacity, generally think,maxg, equal to the
pumped storage power plant capacity.
P,maxpu
P
2) Power balance constraints
Under the restricted constraints , get week pumping
power:
7 168
11
() ()
pu
it
Epu iPt


(4)
The biggest generating capacity constraints on i day:
1
11
0()() (
ii
Eg iEpuiEgi


)
(5)
Eg (0) = 0.
3) Capacity constraints
Set pumped storage power station as a reference for
processing agricultural products on power C, then
max(( ))Es iC (6)
4) Work position constraints
To avoid the position overlap of pumped storage posi-
tion and generation position, it must satisfy the follow:
Copyright © 2013 SciRes. EPE
X. F. JIANG ET AL.
610
,,
p
u upgdown
PP
(7)
Pumping work position also can’t overlap with hy-
dropower work position, it must satisfy the follow:
,,
p
u upHdown
PP (8)
5) Water balance constraints
168 0
S
WWS
(9)
()( 1)()()
SS
WiWiWpuiWgi (10)
while
is the power generation capacity of pumped
storage power station at t period; is
the pumping
capacity at t period; ,maxg is the max power generation
capacity; ,maxpu is the max pumping capacity; ,
()
g
Pt
P
( )
pu
Pt
P
p
uup
is the upper pumping limit of pumped storage power sta-
tion, ,
P
down is the lower; ,
P
H
down is the lower limit of
hydropower; Eg (i) is the day power generation of
pumped storage power station;
P
Epu (i): the day pumping power consumption of pumped
storage power station, MWh;
Η: the pumped-storage unit pumping-power efficiency;
Wg: he power generation water consumption;
Wpu:the quantity of pumping, m3.
b) The related constraints of thermal power units
1) Thermal power unit output constraint
min max
() 1,2,,168
iii
PPtPt  (11)
In it : the output of the i thermal power unit at t
period, MW;
()
i
Pt
mini: The minimum technological output of the I
thermal power unit at t period, MW;
P
maxi: The maximum technological output of the i
thermal power unit at t period, MW.
P
2) Unit climbing constraint
The climbing constraint should be decided based on
the units’ output at t moment, the units’ output upper and
lower limit and the allowable adjustment step length,
shown below:
min max
()( 1)
iii i
PPtPtP  (12)
When the output is increasing:
max
max
min
min(( ),)
0
iii
i
PPPt
P
 

ui
r
di
r
t
(13)
When the output is decreasing:
max
min
min
0
max(( ),)
i
iii
P
PPPt


(14)
ui : The maximum climbing speed allowed by output
in the unit time of the i kind thermal power unit, MW;
r
di : The minimum climbing speed allowed by output
in the unit time of the i kind thermal power units, MW;
r
min
i
P: The lower limit of the i kind thermal units’
power, MW
max
i
Pui: The maximum climbing speed allowed by
output in the unit time of the i kind thermal power unit,
MW;
r
di : The minimum climbing speed allowed by output
in the unit time of the i kind thermal power units, MW;
r
min
i
P: The lower limit of the i kind thermal units'
power, MW
max
i
P: The upper limit of the i kind thermal units'
power, MW.
3) Related constraints to the system
1) Balance constraints of electric system capacity
() ()
() ()()()
DLOSE
iiH o
iG
Pt Pt
UtPtPSt PtP

(15)
2) System spares constraints
max
()() ()
iiDR
iG
UtPPt Pt

(16)
In it : system load at t moment, MW;
()
D
Pt
()t
LOSE
P
()Ut
: network loss at t moment, MW;
i: 0,1 integer variable,0 means stop,1 means start,
at t moment ;
()PS t: boot capacity of pumped storage power plant
at t moment, MW;
()
H
Pt: generated output of hydropower at t moment,
MW;
ot : The total boot capacity of other types of units,
except thermal, storage units, MW
P
()
R
Pt: spins reserve of the electric system at t moment,
MW.
5. Pumped Storage Power Plant Operation
Mode
5.1. Model State
According to load characteristics, the system may stay at
a low load for several days in a week there, and increase
to a high load for other days, so the weekly regulation
pumped storage power station may adjust the focus on
the continuously pumping without power in a few days
and adjust the focus on the continuously power without
pumping in other few days. In this way, the weekly reg-
ulation pumped storage power station has stricter demand
of the storage capacity than the diurnal one. Differently
from the diurnal one, the storage capacity of the weekly
regulation pumped storage power station is based on the
weekly capacity. Thus there are many differences be-
tween the weekly one and the diurnal one no matter in
power plant capacity, water capacity or even the role the
weekly one played on and the benefit it gained.
From consideration of the operational model pumped
storage power station characteristic, it can not only take
the minimum running costs of its economic indicators as
Copyright © 2013 SciRes. EPE
X. F. JIANG ET AL.
Copyright © 2013 SciRes. EPE
611
ax
the objective function to run the simulation, but also take
into account the peak of its good performance. The de-
termining of the location of utilities should be arranged
after the cramps working position, and it should reduce
coal consumption as much as possible when filling the
valley to meet the peaking needs of the system. The goal
is to make full use of pumped storage power plant capac-
ity, and to meet weekly cycle power plant operating cha-
racteristics.
5.2. Mathematical Model
This paper, based on the work of the output after deduct-
ing hydropower station system fixed weeks load curve,
establish pumped storage power plant operation simula-
tion objective.
Function is as follows:
,, ,max
168 168
11
,, ,m
() ()
g upg downg
gpu
tt
pu uppu downpu
PP P
PtP t
PP P



 (17)
,
g
up , ,
P
down : top and bottom limitation of power po-
sition of the pumped-storage power station in fixed
weeks load curve , MW;
P
,
p
uup, ,
P
p
u down : top and bottom limitation of pumping
position in pumped-storage power station, MW
P
,maxg: The maximum capacity of pumped-storage
power station, MW;
P
,maxpu : The maximum pumping power capacity of
pumped-storage power station, MW;
P
168
1
()
g
t
Pt
: week power generation of pumped-storage
power station, MWh;
168
1
()
pu
t
Pt
: week pumping power consumption of
pumped-storage power station, MWh;
η: pumping-generation efficiency of pumped-storage
power units.
6. The Role of Synchronize and Close
Hei Mi-feng pumped storage power station mainly use
low power consumption or the amount of abandoned
water pumping to pump water in the lower reservoir into
the reservoir on the store. When the peak comes, water
drive turbine power generation will be run in the poten-
tial energy of the water flow from high reservoir to the
low. The way of making the abandoned or low reservoir
water volume become high quality of peak processing
power, reduce and avoid energy waste effectively. Con-
struction of the Hei Mi-feng power plant optimized the
structure of power in Hunan Province greatly, solving the
load imbalance season problems. Especially in the flood
season, the pumped storage hydroelectric power plants
take advantage of other diarrhea flood of abandoned wa-
ter pumped storage power generation, in the summer
peak period, and then water to generate electricity, in
order to address the province’s electricity “excess flood,
lack Xuzhou’s situation.
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