Presentation on theme: "How the Power Grid Behaves"— Presentation transcript:
1How the Power Grid Behaves Tom OverbyeDepartment of Electrical and Computer EngineeringUniversity of Illinois at Urbana-Champaign
2Presentation Overview Goal is to demonstrate operation of large scale power grid.Emphasis on the impact of the transmission syste.Introduce basic power flow concepts through small system examples.Finish with simulation of Eastern U.S. System.
3PowerWorld SimulatorPowerWorld Simulator is an interactive, Windows based simulation program, originally designed at University of Illinois for teaching basics of power system operations to non-power engineers.PowerWorld Simulator can now study systems of just about any size.
4Eastern Interconnect Operating Areas Ovals represent operating areasArrows indicate power flow in MW between areas
6Power System BasicsAll power systems have three major components: Generation, Load and Transmission.Generation: Creates electric power.Load: Consumes electric power.Transmission: Transmits electric power from generation to load.
7One-line Diagram Most power systems are balanced three phase systems. A balanced three phase system can be modeled as a single (or one) line.One-lines show the major power system components, such as generators, loads, transmission lines.Components join together at a bus.
8Eastern North American High Voltage Transmission Grid Figure shows transmission lines at 345 kV or above in Eastern U.S.
9Zoomed View of MidwestArrows indicate MW flow on the lines; piecharts show percentage loading of lines
10Example Three Bus System Pie charts show percentage loading of linesGeneratorLoadBusCircuit Breaker
11Generation Large plants predominate, with sizes up to about 1500 MW. Coal is most common source, followed by hydro, nuclear and gas.Gas is now most economical.Generated at about 20 kV.
12Loads Can range in size from less than a single watt to 10’s of MW. Loads are usually aggregated.The aggregate load changes with time, with strong daily, weekly and seasonal cycles.
13TransmissionGoal is to move electric power from generation to load with as low of losses and cost as possible.P = V I or P/V = ILosses are I2 RLess losses at higher voltages, but more costly to construct and insulate.
14Transmission and Distribution Typical high voltage transmission voltages are 500, 345, 230, 161, 138 and 69 kV.Transmission tends to be a grid system, so each bus is supplied from two or more directions.Lower voltage lines are used for distribution, with a typical voltage of 12.4 kV.Distribution systems tend to be radial.Transformers are used to change the voltage.
15Other One-line Objects Circuit Breakers - Used to open/close devices; red is closed, green is open.Pie Charts - Show percentage loading of transmission lines.Up/down arrows - Used to control devices.Values - Show current values for different quantities.
16Power Balance Constraints Power flow refers to how the power is moving through the system.At all times the total power flowing into any bus MUST be zero!This is know as Kirchhoff’s law. And it can not be repealed or modified.Power is lost in the transmission system.
17Basic Power ControlOpening a circuit breaker causes the power flow to instantaneously(nearly) change.No other way to directly control power flow in a transmission line.By changing generation we can indirectly change this flow.
18Flow Redistribution Following Opening Line Circuit Breaker No flow onopen linePower Balance mustbe satisfied at each bus
19Indirect Control of Line Flow Generator change indirectly changes line flowGenerator MWoutput changed
20Transmission Line Limits Power flow in transmission line is limited by a number of considerations.Losses (I2 R) can heat up the line, causing it to sag. This gives line an upper thermal limit.Thermal limits depend upon ambient conditions. Many utilities use winter/summer limits.
21Overloaded Transmission Line Thermal limitof 150 MVA
22Interconnected Operation Power systems are interconnected across large distances. For example most of North American east of the Rockies is one system, with most of Texas and Quebec being major exceptionsIndividual utilities only own and operate a small portion of the system, which is referred to an operating area (or an area).
23Operating Areas Areas constitute a structure imposed on grid. Transmission lines that join two areas are known as tie-lines.The net power out of an area is the sum of the flow on its tie-lines.The flow out of an area is equal to total gen - total load - total losses = tie-flow
24Three Bus System Split into Two Areas Initially area flowis notcontrolledNet tie flowis NOT zero
25Area Control Error (ACE) The area control error mostly the difference between the actual flow out of area, and scheduled flow.ACE also includes a frequency component.Ideally the ACE should always be zero.Because the load is constantly changing, each utility must constantly change its generation to “chase” the ACE.
26Home Area ACE ACE changes with time 06:30 AM 06:15 AM Time -20.0 -10.0 Area Control Error (MW)ACE changes with time
27Inadvertent Interchange ACE can never be held exactly at zero.Integrating the ACE gives the inadvertent interchange, expressed in MWh.Utilities keep track of this value. If it gets sufficiently negative they will “pay back” the accumulated energy.In extreme cases inadvertent energy is purchased at a negotiated price.
28Automatic Generation Control Most utilities use automatic generation control (AGC) to automatically change their generation to keep their ACE close to zero.Usually the utility control center calculates ACE based upon tie-line flows; then the AGC module sends control signals out to the generators every couple seconds.
29Three Bus Case on AGC With AGC on, net tie flow is zero, but individual line flowsare not zero
30Generator CostsThere are many fixed and variable costs associated with power system operation.Generation is major variable cost.For some types of units (such as hydro and nuclear) it is difficult to quantify.For thermal units it is much easier. There are four major curves, each expressing a quantity as a function of the MW output of the unit.
31Generator Cost CurvesInput-output (IO) curve: Shows relationship between MW output and energy input in Mbtu/hr.Fuel-cost curve: Input-output curve scaled by a fuel cost expressed in $ / Mbtu.Heat-rate curve: shows relationship between MW output and energy input (Mbtu / MWhr).Incremental (marginal) cost curve shows the cost to produce the next MWhr.
32Example Generator Fuel-Cost Curve 150300450600Generator Power (MW)25005000750010000Fuel-cost ($/hr)Y-axis tellscost toproduce specified power (MW) in $/hrCurrent generatoroperating point
33Example Generator Marginal Cost Curve 150300450600Generator Power (MW)0.05.010.015.020.0Incremental cost ($/MWH)Y-axis tellsmarginal cost toproduce one more MWhr in $/MWhrCurrent generatoroperating point
34Economic DispatchEconomic dispatch (ED) determines the least cost dispatch of generation for an area.For a lossless system, the ED occurs when all the generators have equal marginal costs. IC1(PG,1) = IC2(PG,2) = … = ICm(PG,m)
35Power TransactionsPower transactions are contracts between areas to do power transactions.Contracts can be for any amount of time at any price for any amount of power.Scheduled power transactions are implemented by modifying the area ACE: ACE = Pactual,tie-flow - Psched
36Implementation of 100 MW Transaction OverloadedlineNet tie flow isnow 100 MW fromleft to rightScheduled Transaction
37Security Constrained ED Transmission constraints often limit system economics.Such limits required a constrained dispatch in order to maintain system security.In three bus case the generation at bus 3 must be constrained to avoid overloading the line from bus 2 to bus 3.
38Security Constrained Dispatch Gens 2 &3changed to removeoverloadNet tie flow isstill 100 MW fromleft to right
39Multi-Area OperationThe electrons are not concerned with area boundaries. Actual power flows through the entire network according to impedance of the transmission lines.If Areas have direct interconnections, then they can directly transact up their tie-line capacity.Flow through other areas is known as “parallel path” or “loop flows.”
40Seven Bus, Thee Area Case One-line Area “Top”has 5 busesACE foreach areais zeroArea “Left” has one busArea “Right” has one bus
41Seven Bus Case: Area View Actual flow between areasScheduled flow between areas
42Seven Bus Case with 100 MW Transfer Losseswent upfrom7.09 MW100 MW Scheduled Transfer from Left to Right
43Seven Bus Case One-line Transfer also overloadsline in Top
44Transmission ServiceFERC Order No. 888 requires utilities provide non-discriminatory open transmission access through tariffs of general applicability.FERC Order No. 889 requires transmission providers set up OASIS (Open Access Same-Time Information System) to show available transmission.
45Transmission ServiceIf areas (or pools) are not directly interconnected, they must first obtain a contiguous “contract path.”This is NOT a physical requirement.Utilities on the contract path are compensated for wheeling the power.
46Eastern Interconnect Example Arrows indicate the basecase flow between areas
47Power Transfer Distribution Factors (PTDFs) PTDFs are used to show how a particular transaction will affect the system.Power transfers through the system according to the impedances of the lines, without respect to ownership.All transmission players in network could be impacted, to a greater or lesser extent.
48PTDFs for Transfer from Wisconsin Electric to TVA Piecharts indicate percentage of transfer that will flow between specified areas
49PTDF for Transfer from WE to TVA 100% of transfer leaves Wisconsin Electric (WE)
50PTDFs for Transfer from WE to TVA About 100% of transfer arrives at TVABut flow does NOT follow contract path
51ContingenciesContingencies are the unexpected loss of a significant device, such as a transmission line or a generator.No power system can survive a large number of contingencies.First contingency refers to loss of any one device.Contingencies can have major impact on Power Transfer Distribution Factors (PTDFs).
52Available Transfer Capability Determines the amount of transmission capability available to transfer power from point A to point B without causing any overloads in basecase and first contingencies.Depends upon assumed system loading, transmission configuration and existing transactions.
53Reactive Power Reactive power is supplied by generatorscapacitorstransmission linesloadsReactive power is consumed bytransmission lines and transformers (very high losses
54Reactive PowerReactive power doesn’t travel well - must be supplied locally.Reactive must also satisfy Kirchhoff’s law - total reactive power into a bus MUST be zero.
55Reactive Power Example Reactive power must also sum to zero at each busNote reactive line losses are about 13 Mvar
56Voltage MagnitudePower systems must supply electric power within a narrow voltage range, typically with 5% of a nominal value.For example, wall outlet should supply 120 volts, with an acceptable range from 114 to 126 volts.Voltage regulation is a vital part of system operations.
57Reactive Power and Voltage Reactive power and voltage magnitude are tightly coupled.Greater reactive demand decreases the bus voltage, while reactive generation increases the bus voltage.
58Voltage RegulationA number of different types of devices participate in system voltage regulationgenerators: reactive power output is automatically changed to keep terminal voltage within range.capacitors: switched either manually or automatically to keep the voltage within a range.Load-tap-changing (LTC) transformers: vary their off-nominal tap ratio to keep a voltage within a specified range.
59Five Bus Reactive Power Example Voltage magnitude is controlled bycapacitorLTC Transformer is controlling load voltage
60Voltage ControlVoltage control is necessary to keep system voltages within an acceptable range.Because reactive power does not travel well, it would be difficult for it to be supplied by a third party.It is very difficult to assign reactive power and voltage control to particular transactions.
61ConclusionTalk has provided brief overview of how power grid operates.Educational Version of PowerWorld Simulator, capable of solving systems with up to 12 buses, can be downloaded for free at60,000 bus commercial version is also available.