Title: Wide Open Load Following: Mark Lively
1Wide Open Load FollowingMark Livelys Approach
toPricing Reactive Power
- 2004 December 2
- CEIC Luncheon Seminar
- Carnegie Mellon University
- Electric Industry Center
2Reactive Power Payments
- Mandatory Reliability Standards
- NERC imposes fines each time it identifies
problem - Offender pays NERC fund
- Counter-party ???
- Market for Unscheduled Flows
- FERC sets mechanism for metered amounts
- Offender pays counter-party
- Counter-party earns revenue
3Reactive Power PricingList of Approaches
- Cost of service for generation
- Competitive bidding among generators
- Tie to providing active power generation
- WOLF for unscheduled amounts
- Generation
- Load
- Independent reactive sources
- Inter-control area flows
4Reactive Power Pricing Cost of Service Method
- AEP Method (Opinion 440, 1999 July 30)
- Annual revenue requirement
- Used recently by several IPPs
- Big Sandy Peaker Plant, LLC ER04-1103
- Hills Energy, LLC ER04-1102
- PJM has a performance requirement, or else
payment is withheld
5Reactive Power Pricing Competitive Bidding
- Ancillary service
- Bid for capacity availability
- Dispatched by system operator
- Performance requirement (?)
6Reactive Power Pricing Tie to Providing Active
Power
- Reactive Capability Related to Active Capability
- Perhaps 5 KVAR for 100 KW
- .9 Leading (48 kvar) or .95 Lagging (-33 kvar)
- Most generators able to produce some reactive
under normal conditions - Actual reactive power dispatched centrally
- Nonperformance charge (?)
7Reactive Power PricingWOLF for Unscheduled
Amounts
- Mortar for the brick wall of contracts
- Payment for non-performance
- Payment for over-performance
- Non-participating IPPs, including DG
- Loads
- Standalone reactive devices
- Inter-control area flows
8Wide Open Load Following
- People worked harder for a reward, especially
one that coincided with patriotism. Tom Clancy,
Without Remorse.
- Producers work harder for a reward, especially
one that coincides with reliability. Mark
Lively, in explaining WOLF.
9Wide Open Load FollowingBasic Concept
- Use the quantification of the quality of public
goods to set the simultaneous prices of the
unscheduled portion of related commodities whose
usage impacts the public goods. Note that the
unscheduled portion of the commodity can be
positive or negative.
10Wide Open Load FollowingPublic Goods
- Non-excludabilityIt is difficult to keep people
outFireworks display - Non-rivalrous consumptionMy usage does not
interfere with your usageFireworks display - For electricity, electric potential meets this
description of a public good - Measured as voltage
11Wide Open Load FollowingReactive Power
- Power provided and maintained for the explicit
purpose of insuring continuous, steady voltage on
transmission networks. Reactive power is energy
which must be produced for maintenance of the
system and is not produced for end-use
consumption. Electric motors, electromagnetic
generators and alternators used for creating
alternating current are all components of the
energy delivery chain which require reactive
power. Losses incurred in transmission from heat
and electromagnetic emissions are included in
total reactive power. This power is supplied for
many purposes by condensers, capacitors and
similar devices which can react to changes in
current flow by releasing energy to normalize the
flow, and regulating generators may also have
this capability.
12Wide Open Load FollowingReactive Power
- Power merely absorbed and returned in load due to
its reactive properties - Symbolized by the letter Q and is measured in the
unit of Volt-Amps-Reactive (VAR) - Mathematical construct
13Wide Open Load FollowingReactive Power
- In an alternating current circuit both the
current and voltage are sinusoidal. If there is a
phase separation between the two quantities, the
instantaneous power will have to 'work' harder to
produce the equivalent power if they were in
phase. - Reactive power is described as the amount of
power required to overcome the phase shift
between the current and voltage. It is generally
regarded as waste power as it is used to
'energize' the circuit to allow it do useful
work. - In an alternating current circuit both the
current and voltage are sinusoidal and power is
expressed as the product of current and voltage.
In a simple resistive circuit the voltage and
current are in phase, the real power is equal to
the apparent power and no reactive power flows. - However when the voltage and current pass through
certain types of circuits (inductive or
capacitive) the voltage and current become out of
phase. This phase separation is usually called
the Power factor and the current is said to lag
or lead the voltage. - Capacitive circuits generate reactive power and
inductive circuits absorb reactive power. If
large quantities of reactive power (positive or
negative) are present then the overall power
factor will be low.
14Wide Open Load FollowingReactive Power
- In alternating current power transmission and
distribution, reactive power is an abstract
quantity used to describe the effects of a load
which on the average neither supplies nor
consumes power. It is defined as the product of
the rms voltage, current, and the sine of the
difference in phase angle between the two.
Compare to other definitions of power (effective
power, apparent power, complex power). Reactive
power is usually denoted Q and expressed in
volt-amperes reactive, or var (not watts). This
is to avoid confusion when specifying the power
of a load (var automatically refers to reactive
power). - Reactive power is associated with the
reactance of a load, and unlike effective power,
can be positive or negative. A purely
capacitive load is associated with a positive
reactive power, whereas a purely inductive load
is associated with a negative reactive power. To
maintain efficient transmission, it is often
necessary to reduce the magnitude of the reactive
power in a system. This is known as power
factor correction
15Wide Open Load FollowingVoltage and Reactive
Power
- Leading reactive power raises local voltageAdd
capacitors to counteract low voltage conditions - Lagging reactive power lowers local voltage
- Add reactors to counteract high voltage
conditions - Turn off capacitors
16Wide Open Load FollowingReactive Power
Voltage Low High Voltage Low High
Leading Good Bad
Lagging Bad Good
17Wide Open Load FollowingReactive Power
Low Voltage Reward Leading Punish Lagging
High Voltage Reward Lagging Punish Leading
18Wide Open Load FollowingReactive Power
Low Voltage Reward Leading Punish Lagging
Q Pricing (/KVARH)
India UI
High limit
Lower Than Normal Voltages
Higher Than Normal Voltages
Low limit
India UI
NOTE Q is defined to be positive for leading
reactive power
High Voltage Reward Lagging Punish Leading
19Wide Open Load FollowingReactive Power
Low Voltage Reward Leading Punish Lagging
Q Pricing (/KVARH)
High limit
Lower Than Normal Voltages
Higher Than Normal Voltages
Low limit
NOTE Q is defined to be positive for leading
reactive power
High Voltage Reward Lagging Punish Leading
20Wide Open Load FollowingMarginal Cost Pricing
- Each participant has incentive to increase
production until its marginal cost is equal to
the WOLF price - The WOLF price decreases as participants increase
production - The WOLF price thus provides an indirect measure
of marginal cost
21Wide Open Load Following Dynamic Economic Theory
Supply
Demand
Price (/MVARH)
Equilibrium Price
Formula
Price Pressure
Nominal Price
Shortage
Reactive Power (MVAR)
22Wide Open Load FollowingAdjusting the Curve
- For small voltage excursions, no harm, no foul
- Low voltage excursions are more serious than high
voltage excursions
Voltage
Severity of problem
23Wide Open Load FollowingControl Theory
target
Quantify Power Quality
-
cost
24Wide Open Load FollowingVariance from Marginal
Cost
- Large participants can optimize income by
producing such that their marginal cost is less
than the WOLF price - Set production level so that marginal cost is
equal to marginal revenue - Marginal revenue is price plus production times
the derivative (which is negative) of price with
respect to production
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30Wide Open Load FollowingVariance from Marginal
Cost
- Incremental cost
- Need better definition of cost shape
- Integrate under the curve
- Price varies with amount of reactive produced
31Wide Open Load FollowingControl Theory
target
Quantify Power Quality
frequency
Voltage
-
cost
32Wide Open Load FollowingSimultaneous Pricing
Working in India
- Infamous for low frequency
33Wide Open Load FollowingSimultaneous Pricing
Working in India
- Introduced Reliability Tariff 2003 January 1
- Raised all UI prices about 40 2004 April 1
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35Wide Open Load FollowingSimultaneous Pricing
Working in India
- Average frequency dramatically improved
UI Price 0.0
Max Price 420.0
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36Wide Open Load FollowingSimultaneous Pricing
Working in India
- Improved Frequency Distribution
37WOLF Negotiated Contracts
- WOLF Pricing provides
- Alternative price
- Way to determine penalty
- Way to determine reward
- Assessment of successful contract negotiations
- Pricing for affiliates
38WOLF Versus Negotiated Contract
WOLF Pricing
/KVAR-Year
Negotiated Contract
Annual Hours of Operation
39Wide Open Load Following
- Provides price for unscheduled reactive power
- Leads to marginal cost price discovery
- Feedback corrects the price
- Works with partial VAR obligation
- Related concept a success in India
- Supports contract negotiations