How it should work
Problem: Most people face a single price
I pay the same price per unit regardless of when I use it.
This is economically inefficient
Reminder: Consumption at peak hours is very costly
- some plants only operate a few hours
- if consumers faced these costs during those hours, could we avoid needing some of these “peaker” plants?
- answer depends on how elastic demand really is
If D inelastic, avg price won’t distort Q much
Are consumers really that inelastic?
- Most consumers face a flat price (no sure how responsive they are)
- Some utilities charge higher prices during peak-pricing events … But even then, people don’t change their behavior much
- Is this people’s true preference?
- Think of when you lived off campus? Did you know how much electricity you used?
- If you got a big bill, would you know what to change?
Hypothesis: People are not even aware of how much they use
Jessoe and Rapson (2014)
Explain the experimental setup in your own words
What is the research question in this paper?
- How much will people conserve if we impose higher prices during peak events?
- Will they respond more if they have real-time information on their electricity use?
Here are the pricing events
What does the display really tell users?
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Customers view in real time the quantity of power being consumed, the price of electricity, and their estimated monthly bill-to-date.
What do we learn relative to the price only group?
Since treatment groups randomly assigned, can see they are the same
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We know this isn’t all the \(X\)’s that matter, but if these are “balanced”, we infer that randomization worked.
[Note this paper also has some attrition that they have to deal with.]
JR compare usage across groups on event days
Largest effects were on day 5 and 6
What might be going on there?
With an RCT, can just compare means
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- Price-only group usage declines by 0 to 7 percent.
- IHD group usage declines by 8 to 22 percent.
Having established a difference, authors then explore the mechanism
- Doesn’t seem to be “salience” (ie people just more aware an event is happening)
- People seem to plan more for day ahead event (usage changes in hours before / after)
- Some evidence of habit formation. A result they emphasize is that usage declines in non-event hours more among this group as well.
Overview of power system
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- What are marginal costs here?
- What are fixed costs?
Cost breakdown
Marginal costs:
- cost of production
- plus line losses (approx 7%)
Basically everything else is a fixed cost.
How should we setup electricity prices and bills to recover these fixed costs?
How much should your utility charge you per kWh?
Most utilities recover fixed costs volumetrically
This leads to inefficiently high prices
More than half of the marginal price I pay (per unit of electricity consumed) covers non-marginal costs.
Problem: If the only price consumers face is volumetric, then efficient prices cannot recover fixed costs.
- Total costs (Q) = Fixed costs + Variable costs(Q)
- Marginal cost = d Variable costs / dQ
- For now, assume MC = constant
- Efficient price = MC
- What will the firm’s revenue be if they charge this price?
- Problem: If price = MC, profits are negative
- this is a problem because the firm will go bankrupt and exit the market.
Problem setting Price = AC generates DWL
Average cost = Total costs / Q = Fixed costs / Q + MC
So these are declining in Q (Natural monopoly) Natural monopoly: LRAC declining.
Efficient solution: Recover fixed costs with fixed charges
- Imagine I had to pay $50 each month just to get any electricity.
- But then only paid the true marginal cost for each kWh.
- That would restore efficiency on the margin, and avoid structural losses.
What are some concerns with this?
Problems with fixed charges
- Some consumers might leave the market
- ie if I get less then $50 surplus (draw this)
- Not equitable
- Why should customers who use very little electricity pay an equal share of the system costs?
- Income concerns, conditional on usage
Example: Two households
- Monthly costs: $100 fixed costs; marginal cost = 10¢/kWh.
- Usage (held fixed): A uses 200 kWh/month; B uses 800 kWh/month.
- Average-cost pricing: Spread $100 over 1,000 kWh, adding 10¢/kWh. Charge 20¢/kWh.
- Fixed charge: Charge each household $50/month + 10¢/kWh.
| Average-cost pricing |
$40 |
$160 |
$200 |
| Fixed charge + marginal cost |
$70 |
$130 |
$200 |
Both recover $100 variable costs + $100 fixed costs at these quantities.
Who pays the fixed costs? A pays $20 and B pays $80 under average-cost pricing; each pays $50 with the fixed charge.
Incentive: An extra kWh costs the utility 10¢, but households pay 20¢ vs. 10¢.
Decreasing block prices rarely observed. But increasing prices often are
Example from SoCal Gas & Electric.
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Why do you think some utilities setup prices this way?
Are consumer prices really too high?
- Previous section discussed marginal cost as if it was social marginal cost.
- Electricity production causes large external costs (on the margin) as well.
- Local air pollution: PM, ozone, etc
- Climate change: CO2
- Since these are generally unpriced, simply setting price equal to private marginal cost would mean consumer prices would be too low
What is the net effect? Are prices too low or too high?
B&B look at data from 2014-2016
Summarize wholesale prices at NERC region
Avg wholesale prices much lower than avg retail rates
Avg line losses \(\sim\) 7%; Marginal losses are larger
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- external MC ~ 2X private MC ..
- but on average prices are too high (\(\sim\) 8%)
- still many places they are far too low
Distributed Solar Power and Retail Pricing
What happens when consumers can produce their own electricity?
- To combat climate change, need to transition to renewables asap
- Solar will probably be the dominant source of electrictiy generation in the future
- Solar energy hitting earth > 10,000 X total energy use
- A large share of this solar is actually distributed on rooftops of homes and businesses
- How efficient will this approach be?
Grid scale vs distributed solar
What are some pros and cons of distributed relative to grid scale?
Pros of distributed generation
- No line losses (7-9%)
- Cheap real estate
- your roof is unused space anyways (may even provide shade)
- May reduce need for new transmission /distribution lines
- Spreading panels around reduces ‘risk’ of clouds
- “Freedom” / independence from the grid etc
- strange coalition of environmentalists and anti-government types has emerged to support PV
Source: Severin Borenstein
Cons of distributed generation
- Design and maintenance is MUCH more expensive
- Lose all economies of scale
- GS panels often move throughout the day to track sun
- DG installed where consumers choose, not grid operators
- Also a lot of controversy over the true cost of DG and how it should be promoted
Source: Severin Borenstein
Where should we put solar?
If you were a social planner, where would you put solar panels? and Why?
- Sunny places (low LCOE)
- High demand places (high value)
- Places with lots of polluting plants
Where will solar actually be installed if it’s up to individual consumers?
What factors will make some consumers more likely to install solar panels than others?
- High (marginal) electricity prices
- Subsidies
- Environmental preferences
The private economics of solar PV adoption
- Consumers have utility from electricity consumption \[U=\sum_{h}(u_{h}-p_{h})e_{h}\]
- \(u\), \(p\), \(e\) represent utility and electricity consumption in hour \(h\)
- most consumers face a flat price for electricity (\(p_h=p\))
Installing solar panels reduces the need to buy electricity from the grid by the output of the panels (\(s\)).
\[U_{s}=\sum_{h}(u_{h}e_{h})-\sum_{h}p(e_h - s_h) +\omega-F\]
- \(\omega\) represents the “green glow” of going solar and \(F\) is the fixed cost of the installation.
- Ignore discounting for now.
- Then it makes sense to adopt if: \(\sum s_{h}p+\omega>F\)
Who adopts in this model?
Adopt if, \(\sum s_{h}p+\omega>F\)
- consumers with high \(p\) and \(s\)
- if can’t sell back, consumers with high usage too
- “environmentally conscious” consumers (high \(\omega\) )
- consumers that face low fixed costs (\(F\))
- possibly due to subsidies
- These factors explain the patterns in following map.
- They also reflect policy options
Reminder: High marginal prices due to recovering fixed costs volumetrically
CA has steep increasing block pricing
- Goal: Recover fixed costs equitably.
- Result: Large consumers have a huge incentive to reduce marginal consumption.
- This put CA on top of PV, and also made adoption highly correlated with income.
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Source: Severin Borenstein
Major problem
As PV owners buy less electricity, the burden of those fixed costs will be shifted onto other households
- That increase in prices will incentivize even more households to install PV…..
- This is the utility “death spiral”
One solution is to charge consumers a large fixed cost just for being connected to the grid
- What do people think about this?
What if you produce more than you consume?
Common policy: net energy metering (NEM)
- NEM allows PV owners to sell power back to the grid
- This breaks the temporal cap on solar (\(s_{h}<e_{h}\))
- Most places in the US still require \(\sum_{h}s_{h}<\sum_{h}e_{h}\)
Solar production and consumption generally not aligned
Wholesale cost avoided varies over time
In CA we often have too much solar mid-day
The price on your bill includes fixed costs
- I paid $0.217/kWh, but only half of that was for generation.
- Fixed charges \(\approx\) total system cost independent of quantity consumed, divided by anticipated sales.
So what’s the answer?
How should we compensate / encourage solar PV?
- efficient solution would
- charge a fixed fee for everyone that uses (or may use) the grid
- incentivize people to reduce consumption at times when it is more valuable
- but that value is the wholesale price
- pricing externalities makes subsidizing solar irrelevant
Summary on Solar
- Solar value proposition closely related to subsidies, sun, and the price you pay for electricity.
- Subsidies have been generous, not obviously correlated with social value, and very volatile.
- Letting people sell back to the grid makes sense, but at what price?
- When large parts of the population install solar, we need to rethink how we cover the fixed costs of a reliable power system.