Putting a light on bulbs

By Knoxville News Sentinel


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Not all sources of illumination are made equal... or cost the same.

Sometimes the best part of the day is coming home after a hard day's work, retiring to the den, getting comfortable in your favorite chair and curling up with your favorite book or newspaper.

But, alas, on this particular evening, the bulb in your lamp has gone out. A simple matter to replace it, right?

Wrong.

Light bulbs are now available in a variety of types, and they are not all created equal. Let's take the time to learn more about the science behind what makes the different light bulbs work and consider which one is the most cost-efficient to operate.

But first we need to consider something much more basic: the atom.

There are three major types of light bulbs available today: incandescent, halogen and fluorescent. While there are differences in the mechanics and economics of these bulbs, they all operate on the same basic principle: exciting atoms.

The most basic and fundamental model of the atom describes a positively charged nucleus of protons and neutrons surrounded by negatively charged electrons that travel in distinct orbital shells around the nucleus.

Conceptually, it is similar to a model of the planets of the solar system orbiting the sun, but electrostatic forces, not gravity, are at work in the realm of the atom.

While modern physics now describes a very different and exotic subatomic world, this basic model will serve our purposes.

Electrons with greater energy "orbit" farther from the nucleus of an atom. When atoms gain or lose energy, it is often expressed by the movement of electrons from one orbital shell to another.

When an atom gains energy, an electron may be temporarily bumped to a higher orbit. It then almost immediately returns to its original shell, releasing energy in the form of a photon - light.

This is the basic mechanism behind all light sources. What differs is how and to what extreme the electrons are excited.

In the 19th century, Sir Joseph Swan (1878) and Thomas Edison (1879) were independently able to take the relatively new science of electricity and use it to generate artificial light. Within 25 years, millions of people around the world had installed electric lighting.

Surprisingly, its basic design has not changed drastically during the past 130 years.

A light bulb has two metal contacts, called the foot contact and the thread-screw contact, at its base, connecting the bulb to an electric circuit. The metal contacts are connected via two stiff wires to the filament. This is all housed within a glass bulb filled with an inert (inactive) gas, typically argon.

When the electric circuit is activated, the current flows from one contact to the other through the wires and filament. This heats the atoms in the filament, causing the bound (noncurrent) electrons to jump to higher energy levels, and then back to their normal levels, releasing photons of light in the process.

In order for a light bulb to generate photons in the visible range, the filament must be heated to 2,200 degrees Celsius (4,000 degrees Fahrenheit).

The filament is made of tungsten metal, averaging 2 meters (6.5 feet) in length wrapped in a double coil. Yet it is only 1/100th of an inch thick. Tungsten is used because it has a high melting point; that is, most metals would simply melt before reaching the temperatures necessary to produce visible light.

However, tungsten combusts at high temperatures, so the chamber of a light bulb is devoid of oxygen. And while the first light bulbs simply surrounded the filament with a vacuum, today the chamber is filled with an inert gas to slow down the evaporation of the tungsten filament.

When a heated tungsten atom vibrates fast enough to actually leave the filament, it collides with the argon atoms and bounces back toward the filament, rejoining the solid structure.

Bulbs burn out when the evaporation of the tungsten eventually creates a weak spot in the filament.

Incandescent bulbs are very inefficient, with most of the energy being lost in the form of heat (infrared photons). Only about 10 percent of the light produced is actually in the visible spectrum.

Halogen bulbs also utilize a tungsten filament, but it is encased in a smaller quartz envelope. Quartz is used because the closer proximity to the filament would actually melt the housing were it made of glass.

It is the type of gas that surrounds the filament that really makes halogen bulbs different. Instead of an inert gas, halogens (reactive, nonmetallic elements) are used. They actually combine with the tungsten vapor as it evaporates and redeposit the tungsten on the filament.

This recycling allows the filament to last longer.

Halogen bulbs also run hotter, allowing them to give off more visible light per unit of energy, making them more efficient than incandescent bulbs.

Warning: Because the quartz envelope is so close to the hotter-burning filament, halogen bulbs are very hot during and immediately after use. Great care should be used in handling them.

Fluorescent bulbs do not have a filament. Rather, they are composed of a sealed glass tube containing a little mercury and an inert gas, usually argon, under very low pressure. The inside of the tube itself is coated with a fluorescent powder (a blend of metallic and rare-earth phosphor salts). Electrodes are located at each end of the tube, connecting the apparatus to an electric circuit.

When the circuit is turned on, the current flows to the electrodes, yielding a voltage (electrical potential difference) across the two electrodes. As a result, electrons migrate from one end of the tube to the other. This energy causes some of the mercury in the tube to become a gas.

Electrons traveling through the tube then collide with the mercury vapor, exciting the atoms and bumping electrons to a higher energy level.

With mercury, however, photons are released in the ultraviolet range when the electrons return to their original states. This is beyond the sensitivity of our eyes.

So how does a fluorescent bulb generate visible light?

When ultraviolet photons from the mercury atoms strike the tube's phosphor coating, those atoms become excited, and they release photons in the lower-energy visible range. The remainder of the energy is lost as heat.

The color of the emitted light is controlled by the mixture of phosphors.

Therefore, unlike incandescent and halogen bulbs that operate by heating a tungsten filament, fluorescent bulbs require a multi-step process to generate visible light.

Because they are not using heat to generate light, a typical fluorescent bulb is much more efficient than an incandescent bulb, which loses so much of its energy to heat.

However, note that because of the mercury and phosphor, fluorescent bulbs cannot be discarded with regular household waste. Recycling of the tubes is highly recommended.

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Ontario confronts reality of being short of electricity in the coming years

Ontario electricity shortage is looming, RBC and IESO warn, as EV electrification surges, Pickering nuclear faces delays, and gas plants backstop expiring renewables, raising GHG emissions and grid reliability concerns across the province.

 

Key Points

A projected supply shortfall as demand rises from electrification, expiring contracts, and delayed nuclear capacity.

✅ RBC warns shortages as early as 2026, significant by 2030

✅ IESO sees EV-driven demand; 5,000-15,000 MW by 2035

✅ Gas reliance boosts GHGs; Pickering life extension assessed

 

In a fit of ideological pique, Doug Ford’s government spent more than $200 million to scrap more than 700 green energy projects soon after winning the 2018 election, amid calls to make clean, affordable power a central issue, portraying them as “unnecessary and expensive energy schemes.”

A year later, then Associate Energy Minister Bill Walker defended the decision, declaring, “Ontario has an adequate supply of power right now.”

Well, life moves fast. At the time, scrapping the renewable energy projects was criticized as short-sighted and wasteful, raising doubts about whether Ontario was embracing clean power in a meaningful way. It seems especially so now as Ontario confronts the reality of being short of electricity in the coming years.

How short? A recent report by RBC calls the situation “urgent,” saying that Canada’s most populous province could face energy shortages as early as 2026. As contracts for non-hydro renewables and gas plants expire, the shortages could be “significant” by 2030, the bank report said, with grid greening costs adding to the challenge.

The Independent Electricity System Operator (IESO), which manages the electrical supply in Ontario, says demand for electricity could rise at rates not seen in many years, as the government moves to add new gas plants to boost capacity. “Economic growth coming out of the pandemic, along with electrification in many sectors, is driving energy use up,” the agency said in a December assessment.

The good news is that demand is being driven, in part, by the transition to “green” power – carbon-emission-free electricity – by sectors such as transportation and manufacturing. That will help reduce emissions. Yet meeting that demand presents some challenges, prompting the province to outline a plan to address growing needs across the system. The shift to electric vehicles alone is expected to cause a spike in demand starting in 2030. By 2035, the province could need an additional 5,000 to 15,000 megawatts of electricity, the IESO estimates.

It was perhaps no surprise then to see the province announce last week that it wants to delay the long-planned closing of the Pickering nuclear plant by a year to 2026, even as others note the station is slated to close as planned. Operations beyond that would require refurbishing the facility. The province said it’s taking a fresh look at whether that would make sense to extend its life by another 30 years.

In the interim, the province will be forced to dramatically ramp up its reliance on natural gas plants for electricity generation – and, as analysts warn, Ontario’s power mix could get dirtier even before new non-emitting capacity is built, and in the process, increase greenhouse gas emissions from the energy grid by 400 per cent. Broader electrification is expected to produce “significant” GHG emissions reductions in Ontario over the next two decades, according to the IESO. Still, it’s working at cross-purposes if your electric car is charged by electricity generated by fossil fuels.

 

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Ontario Extends Off-Peak Electricity Rates to Provide Relief for Families, Small Businesses and Farms

Ontario Off-Peak Electricity Rate Relief extends 8.5 cents/kWh pricing 24/7 for residential, small business, and farm customers, covering Time-Of-Use and tiered plans to stabilize utility bills during COVID-19 Stay-at-Home measures across Ontario.

 

Key Points

A province-wide 8.5 cents/kWh price applied 24/7 until Feb 22, 2021 for TOU and tiered users to reduce electricity bills

✅ 8.5 cents/kWh, applied 24/7 through Feb 22, 2021

✅ Available to TOU and tiered OEB-regulated customers

✅ Automatic on bills for homes, small businesses, farms

 

The Ontario government is once again extending electricity rate relief for families, small businesses and farms to support those spending more time at home while the province maintains the Stay-at-Home Order in the majority of public health regions. The government will continue to hold electricity prices to the off-peak rate of 8.5 cents per kilowatt-hour, compared with higher peak rates elsewhere in the day, until February 22, 2021. This lower rate is available 24 hours per day, seven days a week for Time-Of-Use and tiered customers.

"We know staying at home means using more electricity during the day when electricity prices are higher, that's why we are once again extending the off-peak electricity rate to provide households, small businesses and farms with stable and predictable electricity bills when they need it most," said Greg Rickford, Minister of Energy, Northern Development and Mines, Minister of Indigenous Affairs. "We thank Ontarians for continuing to follow regional Stay-at-Home orders to help stop the spread of COVID-19."

The off-peak rate came into effect January 1, 2021, providing families, farms and small businesses with immediate electricity rate relief, and for industrial and commercial companies, stable pricing initiatives have provided additional certainty. The off-peak rate will now be extended until the end of day February 22, 2021, for a total of 53 days of emergency rate relief. During this period, and alongside temporary disconnect moratoriums for residential customers, the off-peak price will continue to be automatically applied to electricity bills of all residential, small business, and farm customers who pay regulated rates set by the Ontario Energy Board and get a bill from a utility.

"We extend our thanks to the Ontario Energy Board and local distribution companies across the province, including Hydro One, for implementing this extended emergency rate relief and supporting Ontarians as they continue to work and learn from home," said Bill Walker, Associate Minister of Energy.

 

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Egypt Plans Power Link to Saudis in $1.6 Billion Project

Egypt-Saudi Electricity Interconnection enables cross-border power trading, 3,000 MW capacity, and peak-demand balancing across the Middle East, boosting grid stability, reliability, and energy security through an advanced electricity network, interconnector infrastructure, and GCC grid integration.

 

Key Points

A 3,000 MW grid link letting Egypt and Saudi Arabia trade power, balance peak demand, and boost regional reliability.

✅ $1.6B project; Egypt invests ~$600M; 2-year construction timeline

✅ 3,000 MW capacity; peak-load shifting; cross-border reliability

✅ Links GCC grid; complements Jordan and Libya interconnectors

 

Egypt will connect its electricity network to Saudi Arabia, joining a system in the Middle East that has allowed neighbors to share power, similar to the Scotland-England subsea project that will bring renewable power south.

The link will cost about $1.6 billion, with Egypt paying about $600 million, Egypt’s Electricity Minister Mohamed Shaker said Monday at a conference in Cairo, as the country pursues a smart grid transformation to modernize its network. Contracts to build the network will be signed in March or April, and construction is expected to take about two years, he said. In times of surplus, Egypt can export electricity and then import power during shortages.

"It will enable us to benefit from the difference in peak consumption,” Shaker said. “The reliability of the network will also increase.”

Transmissions of electricity across borders in the Gulf became possible in 2009, when a power grid connected Qatar, Kuwait, Saudi Arabia and Bahrain, a dynamic also seen when Ukraine joined Europe's grid under emergency conditions. The aim of the grid is to ensure that member countries of the Gulf Cooperation Council can import power in an emergency. Egypt, which is not in the GCC, may have been able to avert an electricity shortage it suffered in 2014 if the link with Saudi Arabia existed at the time, Shaker said.

The link with Saudi Arabia should have a capacity of 3,000 megawatts, he said. Egypt has a 450-megawatt link with Jordan and one with Libya at 200 megawatts, the minister said. Egypt will seek to use its strategic location to connect power grids in Asia, where the Philippines power grid efforts are raising standards, and elsewhere in Africa, he said.

In 2009, a power grid linked Qatar, Kuwait, Saudi Arabia and Bahrain, allowing the GCC states to transmit electricity across borders, much like proposals for a western Canadian grid that aim to improve regional reliability. 

 

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Ukraine Helps Spain Amid Blackouts

Ukraine-Spain Power Aid highlights swift international solidarity as Kyiv offers grid restoration expertise to Spain after unprecedented blackouts, aiding energy infrastructure recovery, interconnectors, and emergency response while operators restore power across Spain and Portugal.

 

Key Points

Ukraine sends grid experts to help Spain recover from blackouts, restore power, and reinforce energy infrastructure.

✅ Ukraine offers grid restoration expertise and emergency support.

✅ Partial power restored; cause of blackouts under investigation.

✅ EU funding and Ukrenergo bolster infrastructure resilience.

 

In a remarkable display of international solidarity, Ukraine has extended assistance to Spain as the country grapples with widespread power outages. On April 28, 2025, Spain and neighboring Portugal experienced unprecedented blackouts that disrupted daily life, including internet connectivity and subway operations. The two nations declared a state of emergency as they worked to restore power.

Ukraine's Offer of Assistance

In response to the crisis, Ukrainian President Volodymyr Zelensky reached out to Spanish Prime Minister Pedro Sánchez, offering support to help restore Spain's power grid. Zelensky emphasized Ukraine's extensive experience in managing energy challenges, particularly in fighting to keep the lights on during sustained Russian attacks on its energy infrastructure. He instructed Ukraine’s Energy Minister, Herman Haluschchenko, to mobilize technical experts to assist Spain swiftly. As of April 29, grid operators in both Spain and Portugal reported partial restoration of power, with recovery efforts ongoing. Authorities continue to investigate the cause of the outages. 

Ukraine's Energy Crisis: A Background

Ukraine's offer of assistance is particularly poignant given its own recent struggles with energy security. Throughout 2024, Russia launched numerous aerial strikes targeting Ukraine's energy infrastructure, including strikes on western Ukraine that severely damaged power generation facilities and transmission networks. These attacks led to significant challenges during the winter season, including widespread blackouts and difficulties in heating households, prompting efforts to keep the lights on this winter across the country. Despite these adversities, Ukraine managed to navigate the winter without major power shortages, thanks to rapid repairs and the resilience of its energy sector. 

International Support for Ukraine

The international community has played a crucial role in supporting Ukraine's energy sector, even as U.S. support for grid restoration has shifted, with continued aid from European partners. In July 2024, the European Union allocated nearly $110 million through the KfW Development Bank to modernize high-voltage substations and develop interconnectors with continental Europe's power system. This funding has been instrumental in repairing and restoring equipment damaged by Russian attacks and enhancing the protection of Ukraine's substations. Since the onset of the conflict, Ukraine's energy grid operator, Ukrenergo, has received international assistance totaling approximately €1.5 billion. 

A Gesture of Solidarity

Ukraine's offer to assist Spain underscores the deepening ties between the two nations and reflects a broader spirit of international cooperation. While Spain continues its recovery efforts, the support from Ukraine serves as a reminder of the importance of solidarity, and of Ukraine's electricity reserves that help prevent further outages in times of crisis. As both countries work towards restoring and securing their energy infrastructures, their collaboration highlights the shared challenges and mutual support that define the European community.

Ukraine's proactive stance in offering assistance to Spain amidst the recent blackouts exemplifies the strength of international partnerships and the shared commitment to new energy solutions that overcome energy challenges. As the situation develops, the continued cooperation between nations will be pivotal in ensuring energy security and resilience as winter looms over Ukraine once more.

 

 

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Can the Electricity Industry Seize Its Resilience Moment?

Hurricane Grid Resilience examines how utilities manage outages with renewables, microgrids, and robust transmission and distribution systems, balancing solar, wind, and batteries to restore service, harden infrastructure, and improve storm response and recovery.

 

Key Points

Hurricane grid resilience is a utility approach to withstand storms, reduce outages, and speed safe power restoration.

✅ Focus on T&D hardening, vegetation management, remote switching

✅ Balance generation mix; integrate solar, wind, batteries, microgrids

✅ Plan 12-hour shifts; automate forecasting and outage restoration

 

When operators of Duke Energy's control room in Raleigh, North Carolina wait for a hurricane, the mood is often calm in the hours leading up to the storm.

“Things are usually fairly quiet before the activity starts,” said Mark Goettsch, the systems operations manager at Duke. “We’re anxiously awaiting the first operation and the first event. Once that begins, you get into storm mode.”

Then begins a “frenzied pace” that can last for days — like when Hurricane Florence parked over Duke’s service territory in September.

When an event like Florence hits, all eyes are on transmission and distribution. Where it’s available, Duke uses remote switching to reconnect customers quickly. As outages mount, the utility forecasts and balances its generation with electricity demand.

The control center’s four to six operators work 12-hour shifts, while nearby staff members field thousands of calls and alarms on the system. After it’s over, “we still hold our breath a little bit to make sure we’ve operated everything correctly,” said Goettsch. Damage assessment and rebuilding can only begin once a storm passes.

That cycle is becoming increasingly common in utility service areas like Duke's.

A slate of natural disasters that reads like a roll call — Willa, Michael, Harvey, Irma, Maria, Florence and Thomas — has forced a serious conversation about resiliency. And though Goettsch has heard a lot about resiliency as a “hot topic” at industry events and meetings, those conversations are only now entering Duke’s control room.

Resilience discussions come and go in the energy industry. Storms like Hurricane Sandy and Matthew can spur a nationwide focus on resiliency, but change is largely concentrated in local areas that experienced the disaster. After a few news cycles, the topic fades into the background.

However, experts agree that resilience is becoming much more important to year-round utility planning and operations as utilities pursue decarbonization goals across their fleets. It's not a fad.

“If you look at the whole ecosystem of utilities and vendors, there’s a sense that there needs to be a more resilient grid,” said Miki Deric, Accenture’s managing director of utilities, transmission and distribution for North America. “Even if they don’t necessarily agree on everything, they are all working with the same objective.”

Can renewables meet the challenge?

After Hurricane Florence, The Intercept reported on coal ash basins washed out by the storm’s overwhelming waters. In advance of that storm, Duke shut down one nuclear plant to protect it from high winds. The Washington Post also recently reported on a slowly leaking oil spill, which could surpass Deepwater Horizon in size, caused by Hurricane Ivan in 2004.

Clean energy boosters have seized on those vulnerabilities.They say solar and wind, which don’t rely on access to fuel and can often generate power immediately after a storm, provide resilience that other electricity sources do not.

“Clearly, logistics becomes a big issue on fossil plants, much more than renewable,” said Bruce Levy, CEO and president at BMR Energy, which owns and operates clean energy projects in the Caribbean and Latin America. “The ancillaries around it — the fuel delivery, fuel storage, water in, water out — are all as susceptible to damage as a renewable plant.”

Duke, however, dismissed the notion that one generation type could beat out another in a serious storm.

“I don’t think any generation source is immune,” said Duke spokesperson Randy Wheeless. “We’ve always been a big supporter of a balanced energy mix, reflecting why the grid isn't 100% renewable in practice today. That’s going to include nuclear and natural gas and solar and renewables as well. We do that because not every day is a good day for each generation source.”

In regard to performance, Wade Schauer, director of Americas Power & Renewables Research at Wood Mackenzie, said the situation is “complex.” According to him, output of solar and wind during a storm depends heavily on the event and its location.

While comprehensive data on generation performance is sparse, Schauer said coal and gas generators could experience outages at 25 percent while stormy weather might cut 95 percent of output from renewables, underscoring clean energy's dirty secret about variability under stress. Ahead of last year’s “bomb cyclone” in New England, WoodMac data shows that wind dropped to less than 1 percent of the supply mix.

“When it comes to resiliency, ‘average performance’ doesn't cut it,” said Schauer.

In the future, he said high winds could impact all U.S. offshore wind farms, since projects are slated for a small geographic area in the Northeast. He also pointed to anecdotal instances of solar arrays in New England taken out by feet of snow. During Florence, North Carolina’s wind farms escaped the highest winds and continued producing electricity throughout. Cloud cover, on the other hand, pushed solar production below average levels.

After Florence passed, Duke reported that most of its solar came online quickly, although four of its utility-owned facilities remained offline for weeks afterward. Only one was because of damage; the other three remained offline due to substation interconnection issues.

“Solar performed pretty well,” said Wheeless. “But did it come out unscathed? No.”

According to installer reports, solar systems fared relatively well in recent storms, even as the Covid-19 impact on renewables constrained projects worldwide. But the industry has also highlighted potential improvements. Following Hurricanes Maria and Irma, the Federal Emergency Management Agency published guidelines for installing and maintaining storm-resistant solar arrays. The document recommended steps such as annual checks for bolt tightness and using microinverters rather than string inverters.

Rocky Mountain Institute (RMI) also assembled a guide for retrofitting and constructing new installations. It described attributes of solar systems that survived storms, like lateral racking supports, and those that failed, like undersized and under-torqued bolts.

“The hurricanes, as much as no one liked them, [were] a real learning experience for folks in our industry,” said BMR’s Levy. “We saw what worked, and what didn’t.”          

Facing the "800-pound gorilla" on the grid

Advocates believe wind, solar, batteries and microgrids offer the most promise because they often rely less on transmitting electricity long distances and could support peer-to-peer energy models within communities.

Most extreme weather outages arise from transmission and distribution problems, not generation issues. Schauer at WoodMac called storm damage to T&D the “800-pound gorilla.”

“I'd be surprised if a single customer power outage was due to generators being offline, especially since loads where so low due to mild temperatures and people leaving the area ahead of the storm,” he said of Hurricane Florence. “Instead, it was wind [and] tree damage to power lines and blown transformers.”

 

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Coal demand dropped in Europe over winter despite energy crisis

EU Winter Energy Mix 2022-2023 shows renewables, wind, solar, and hydro overtaking coal and gas, as demand fell amid high prices; Ember and IEA confirm lower emissions across Europe during the energy crisis.

 

Key Points

It describes Europe's winter power mix: reduced coal and gas, and record wind, solar, and hydro output.

✅ Coal generation fell 11% YoY; gas output declined even more.

✅ Renewables supplied 40%: wind, solar, and hydro outpaced fossil fuels.

✅ Ember and IEA confirm trends; mild winter tempered demand.

 

The EU burned less coal this winter during the energy crisis than in previous years, according to an analysis, quashing fears that consumption of the most polluting fossil fuel would soar as countries scrambled to find substitutes for lost supplies of Russian gas.

The study from energy think-tank Ember shows that between October 2022 and March 2023 coal generation fell 27 terawatt hours, or almost 11 per cent year on year, while gas generation fell 38 terawatt hours, as renewables crowded out gas and consumers cut electricity consumption in response to soaring prices.

Renewable energy supplies also rose, with combined wind and solar power and hydroelectric output outstripping fossil fuel generation for the first time, providing 40 per cent of all electricity supplies. The Financial Times checked Ember’s findings with the International Energy Agency, which said they broadly matched its own preliminary analysis of Europe’s electricity generation over the winter.

The study demonstrates that fears of a steep rebound in coal usage in Europe’s power mix were overstated, despite the continent’s worst energy crisis in 40 years following Russia’s full-scale invasion of Ukraine, even as stunted hydro and nuclear output in parts of Europe posed challenges.

While Russia slashed gas supplies to Europe and succeeded in boosting energy prices for consumers to record levels, the push by governments to rejuvenate old coal plants, including Germany's coal generation, to ensure the lights stayed on ultimately did not lead to increased consumption.

“With Europe successfully on the other side of this winter and major supply disruptions avoided, it is clear the threatened coal comeback did not materialise,” analysts at Ember said in the report.

“With fossil fuel generation down, EU power sector emissions during winter were the lowest they have ever been.”

Ember cautioned, however, that Europe had been assisted by a mild winter that helped cut electricity demand for heating and there was no guarantee of such weather next winter. Companies and households had also endured a lot of pain as a result of the higher prices that had led them to cut consumption, even though in some periods, such as the latest lockdown, power demand held firm in parts of Europe.

Total electricity consumption between October and March declined 94 terawatt hours, or 7 per cent, compared with the same period in winter 2021/22, continuing post-Covid transition dynamics across Europe.

“For a lot of people this winter was really hard with electricity prices that were extraordinarily high and we shouldn’t lose sight of that,” said Ember analyst Harriet Fox.

 

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