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Wednesday, October 7, 2020

Immanence

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https://en.wikipedia.org/wiki/Immanence

The doctrine or theory of immanence holds that the divine encompasses or is manifested in the material world. It is held by some philosophical and metaphysical theories of divine presence. Immanence is usually applied in monotheistic, pantheistic, pandeistic, or panentheistic faiths to suggest that the spiritual world permeates the mundane. It is often contrasted with theories of transcendence, in which the divine is seen to be outside the material world.

Major faiths commonly devote significant philosophical efforts to explaining the relationship between immanence and transcendence but do so in different ways, such as:

  • casting immanence as a characteristic of a transcendent God (common in Abrahamic religions),
  • subsuming immanent personal gods in a greater transcendent being (such as with Brahman in Hinduism), or
  • approaching the question of transcendence as something which can only be answered through an appraisal of immanence.

Ancient Greek philosophy

Another meaning of immanence is the quality of being contained within, or remaining within the boundaries of a person, of the world, or of the mind. This meaning is more common within Christian and other monotheist theology, in which the one God is considered to transcend his creation.

Pythagoreanism says that the nous is an intelligent principle of the world acting with a specific intention. This is the divine reason regarded in Neoplatonism as the first emanation of the divine. From the nous emerges the world soul, which gives rise to the manifest realm. Pythagoreanism goes on to say the Godhead is the Father, Mother, and Son (Zeus). In the mind of Zeus, the ideas are distinctly articulated and become the Logos by which he creates the world. These ideas become active in the Mind (nous) of Zeus. With him is the Power and from him is the nous. This theology further explains that Zeus is called Demiurge (Dêmiourgos, Creator), Maker (Poiêtês), and Craftsman (Technitês). The nous of the demiurge proceeds outward into manifestation becoming living ideas. They give rise to a lineage of mortal human souls. The components of the soul are:  the higher soul, seat of the intuitive mind (divine nous); 2) the rational soul (logistikon) (seat of discursive reason / dianoia); 3) the nonrational soul (alogia), responsible for the senses, appetites, and motion. Zeus thinks the articulated ideas (Logos). The idea of ideas (Eidos - Eidôn), provides a model of the Paradigm of the Universe, which the Demiurge contemplates in his articulation of the ideas and his creation of the world according to the Logos.

Tantric Buddhism and Dzogchen posit a non-dual basis for both experience and reality that could be considered an exposition of a philosophy of immanence that has a history on the subcontinent of India from early CE to the present. A paradoxical non-dual awareness or rigpa (Tibetanvidya in Sanskrit) — is said to be the 'self perfected state' of all beings. Scholarly works differentiate these traditions from monism. The non-dual is said to be not immanent and not transcendent, not neither, nor both. One classical exposition is the Madhyamaka refutation of extremes that the philosopher-adept Nagarjuna propounded.

Exponents of this non-dual tradition emphasize the importance of a direct experience of non-duality through both meditative practice and philosophical investigation. In one version, one maintains awareness as thoughts arise and dissolve within the 'field' of mind, one does not accept or reject them, rather one lets the mind wander as it will until a subtle sense of immanence dawns. Vipassana or insight is the integration of one's 'presence of awareness' with that which arises in mind. Non-duality or rigpa is said to be the recognition that both the quiet, calm abiding state as found in samatha and the movement or arising of phenomena as found in vipassana are not separate. In this way it could be stated that Dzogchen is a method for the recognition of a 'pure immanence' analogous to what Deleuze theorized about.

Christianity

Catholicism, Protestantism, and Eastern Christianity

According to Christian theology, the transcendent God, who cannot be approached or seen in essence or being, becomes immanent primarily in the God-man Jesus the Christ, who is the incarnate Second Person of the Trinity. In Byzantine Rite theology the immanence of God is expressed as the hypostases or energies of God, who in his essence is incomprehensible and transcendent. In Catholic theology, Christ and the Holy Spirit immanently reveal themselves; God the Father only reveals himself immanently vicariously through the Son and Spirit, and the divine nature, the Godhead is wholly transcendent and unable to be comprehended.

This is expressed in St. Paul's letter to the Philippians, where he writes:

who, although He existed in the form of God, did not regard equality with God a thing to be grasped,

but emptied Himself, taking the form of a bond-servant, and being made in the likeness of men.

Being found in appearance as a man, He humbled Himself by becoming obedient to the point of death, even death on a cross.

The Holy Spirit is also expressed as an immanence of God.

and the Holy Spirit descended on him in bodily form like a dove. And a voice came from heaven: "You are my Son, whom I love; with you I am well pleased."

The immanence of the triune God is celebrated in the Catholic Church, traditional Protestant Churches, and Eastern Churches during the liturgical feast of the Theophany of God, known in Western Christianity as the Epiphany.

Pope Pius X wrote at length about philosophical-theological controversies over immanence in his encyclical Pascendi dominici gregis.

Mormonism

According to Latter Day Saint theology, all of material creation is filled with immanence, known as the light of Christ. It is also responsible for the intuitive conscience born into man. The Light of Christ is the source of intellectual and spiritual enlightenment, and is the means by which God is in and through all things. LDS scriptures identify the divine Light with the mind of God, the source of all truth and conveyor of the characteristics of the divine nature through God’s goodness. The experienced brilliance of God reflects the “fullness” of this spirit within God’s being. Similarly, mankind can incorporate this spiritual light or divine mind and thus become one with God. This immanent spirit of light bridges the scientific and spiritual conceptualizations of the universe.

Judaism

Traditional Jewish religious thought can be divided into Nigleh ("Revealed") and Nistar ("Hidden") dimensions. Hebrew Scripture is, in the Kabbalistic tradition, explained using the four level exegesis method of Pardes. In this system, the first three approaches, Simple, Hinted and Homiletical interpretations, characterise the revealed aspects. The fourth approach, the Secret meaning, characterises a hidden aspect. Among the classic texts of Jewish tradition, some Jewish Bible commentators, the Midrash, the Talmud, and mainstream Jewish philosophy use revealed approaches. Other Bible commentators, the Kabbalah, and Hasidic philosophy, use hidden approaches. Both dimensions are seen by adherents as united and complementary. In this way, ideas in Jewish thought are given a variety of ascending meanings. Explanations of a concept in Nigleh, are given inherent, inner, mystical contexts from Nistar.

Descriptions of divine immanence can be seen in Nigleh, from the Bible to Rabbinic Judaism. In Genesis, God makes a personal covenant with the forefathers Abraham, Isaac and Jacob. Daily Jewish prayers refer to this inherited closeness and personal relationship with the divine, for their descendants, as "the God of Abraham, Isaac and Jacob". To Moses, God reveals his Tetragrammaton name, that more fully captures divine descriptions of transcendence. Each of the Biblical names for God, describe different divine manifestations. The most important prayer in Judaism, that forms part of the Scriptural narrative to Moses, says "Hear O Israel, the Lord is our God, the Lord is One." This declaration combines different divine names, and themes of immanence and transcendence. Perhaps the most personal example of a Jewish prayer that combines both themes is the invocation repeatedly voiced during the time in the Jewish calendar devoted to Teshuva (Return, often inaccurately translated as Repentance), Avinu Malkeinu ("Our Father, Our King"). Much of the later Hebrew Biblical narrative recounts the reciprocal relationship and national drama of the unfolding of themes of immanence and transcendence. Kabbalistic, or Hasidic Jewish thought and philosophy describe and articulate these interconnected aspects of the divine-human relationship.

Jewish mysticism gives explanations of greater depth and spirituality to the interconnected aspects of God's immanence and transcendence. The main expression of mysticism, the Kabbalah, began to be taught in 12th Century Europe, and reached a new systemisation in 16th Century Israel. The Kabbalah gives the full, subtle, traditional system of Jewish metaphysics. In the Medieval Kabbalah, new doctrines described the 10 Sephirot (divine emanations) through which the Infinite, unknowable divine essence reveals, emanates, and continuously creates existence. The Kabbalists identified the final, feminine Sefirah with the earlier, traditional Jewish concept of the Shekhinah (immanent divine presence). This gave great spirituality to earlier ideas in Jewish thought, such as the theological explanations of suffering (theodicy). In this example, the Kabbalists described the Shekhinah accompanying the children of Israel in their exile, being exiled alongside them, and yearning for Her redemption. Such a concept derives from the Kabbalistic theology that the physical World, and also the Upper spiritual Worlds, are continuously recreated from nothing by the Shefa (flow) of divine will, which emanates through the Sefirot. As a result, within all creations are divine sparks of vitality that sustain them. Medieval Kabbalah describes two forms of divine emanation, a "light that fills all worlds", representing this immanent divine creative power, and a "light that surrounds all worlds", representing transcendent expressions of Divinity.

The new doctrines of Isaac Luria in the 16th Century completed the Kabbalistic system of explanation. Lurianic Kabbalah describes the process of Tzimtzum (צמצום meaning "Contraction" or "Constriction") in the Kabbalistic theory of creation, where God "contracted" his infinite essence in order to allow for a "conceptual space" in which a finite, independent world could exist. This has received different later interpretations in Jewish mysticism, from the literal to the metaphorical. In this process, creation unfolds within the divine reality. Luria offered a daring cosmic theology that explained the reasons for the Tzimtzum, the primordial catastrophe of Shevirat Hakelim (the "Breaking of the Vessels" of the Sefirot in the first existence), and the messianic Tikkun ("Fixing") of this by every individual through their sanctification of physicality. The concept of Tzimtzum contains a built-in paradox, as it requires that God be simultaneously transcendent and immanent:

  • On the one hand, if the Infinite did not "restrict itself", then nothing could exist. There would be no limits, as the infinite essence of God, and also His primordial infinite light (Kabbalistic sources discuss God being able to reign alone, a revealed "light" of the Sefirah of Kingship, "before" creation) would comprise all reality. Any existence would be nullified into the divine infinity. Therefore, we could not have the variety of limited, finite things that comprise the creations in the Universe that we inhabit. (The number of such creations could still be potentially limitless, if the physical Universe, or Multiverse had no end). Because each limited thing results from a restriction of God's completeness, God Himself must transcend (exist beyond) these various limited things. This idea can be interpreted in various ways. In its ultimate articulation, by the Hasidic leader Shneur Zalman of Liadi, in the intellectual Hasidic method of Chabad, the Tzimtzum is only metaphorical, an illusion from the perspective of man. Creation is panentheistic (taking place fully "within God"), and acosmic (Illusionary) from the divine perspective. God himself, and even his light, is unrestricted by Tzimtzum, from God's perspective. The Tzimtzum is merely the hiding of this unchanged reality from creation. Shneur Zalman distinguishes between the "Upper Level Unity" of God's existence from the divine perspective, with the "Lower Level Unity" of God's existence as creation perceives him. Because God can be above logic, both perspectives of this paradox are true, from their alternative views. The dimension of the Tzimtzum, which implies divine transcendence, corresponds to the Upper Level Unity. In this perspective, because God is the true, ultimate infinity, then creation (even if its physical and spiritual realms should extend without limit) is completely nullified into literal non-existence by the divine. There is no change in the complete unity of God as all Reality, before or after creation. This is the ultimate level of divine transcendence.
  • On the other hand, in Lurianic Kabbalah, the Tzimtzum has an immanent divine dimension. The Tzimtzum formed a "space" (in Lurianic terminology, the Halal, "Vacuum") in which to allow creation to take place. The first act of creation was the emanation of a new light (Kav, "Ray") into the vacated space, from the ultimate divine reality "outside", or unaffected, by the space. The purpose of the Tzimtzum was that the vacated space allowed this new light to be suited to the needs and capacities of the new creations, without their being subsumed in the primordial divine infinity. Kabbalistic theology offers metaphysical explanations of how divine and spiritual processes unfold. In earlier, mainstream Jewish philosophy, logical descriptions of creation ex nihilo (from nothing) describe the new existence of creation, compared to the preceding absence. Kabbalah, however, seeks to explain how the spiritual, metaphysical processes unfold. Therefore, in the Kabbalistic system, God is the ultimate reality, so that creation only exists because it is continuously sustained by the will of God. Creation is formed from the emanated "light" of the divine Will, as it unfolds through the later Sefirot. The light that originated with the Kav later underwent further contractions that diminished it, so that this immanent expression of Divinity could itself create the various levels of Spiritual, and ultimately, Physical existence. The terms of "light" and temporal descriptions of time are metaphorical, in a language accessible to grasp. In this immanent divine dimension, God continuously maintains the existence of, and is thus not absent from, the created universe. In Shneur Zalman's explanation, this corresponds to the conscious perception by Creation of "Lower Level Unity" of God. In this perspective, Creation is real, and not an illusion, but is utterly nullified to the immanent divine life force that continuously sustains and recreates it. It may not perceive its complete dependence on Divinity, as in our present World, that feels its own existence as independent reality. However, this derives from the great concealments of Godliness in our present World. "The Divine life-force which brings all creatures into existence must constantly be present within them ... were this life-force to forsake any created being for even one brief moment, it would revert to a state of utter nothingness, as before the creation ...". (Tanya, Shaar Hayichud, Chapter 2-3. Shneur Zalman of Liadi).

Continental philosophy

Giordano Bruno, Baruch Spinoza and possibly Georg Wilhelm Friedrich Hegel espoused philosophies of immanence versus philosophies of transcendence such as Thomism or Aristotelian tradition. Kant's "transcendental" critique can be contrasted to Hegel's "immanent dialectics."

Gilles Deleuze qualified Spinoza as the "prince of philosophers" for his theory of immanence, which Spinoza resumed by "Deus sive Natura" ("God or Nature"). Such a theory considers that there is no transcendent principle or external cause to the world, and that the process of life production is contained in life itself. When compounded with Idealism, the immanence theory qualifies itself away from "the world" to there being no external cause to one's mind.

Giovanni Gentile's actual idealism, sometimes called "philosophy of immanence" and the metaphysics of the "I", "affirms the organic synthesis of dialectical opposites that are immanent within actual or present awareness". His so-called method of immanence "attempted to avoid: (1) the postulate of an independently existing world or a Kantian Ding-an-sich (thing-in-itself), and (2) the tendency of neo-Hegelian philosophy to lose the particular self in an Absolute that amounts to a kind of mystical reality without distinctions."

Political theorist Carl Schmitt used the term in his book Politische Theologie (1922), meaning a power within some thought, which makes it obvious for the people to accept it, without needing to claim being justified. The immanence of some political system or a part of it comes from the reigning contemporary definer of Weltanschauung, namely religion (or any similar system of beliefs, such as rationalistic or relativistic world-view). The Nazis took advantage of this theory creating, or resurrecting, basically religious mythology of race, its heroes, and its destiny to motivate people and to make their reign unquestionable, which it became.

The French 20th-century philosopher Gilles Deleuze used the term immanence to refer to his "empiricist philosophy", which was obliged to create action and results rather than establish transcendents. His final text was titled Immanence: a life... and spoke of a plane of immanence.

Furthermore, the Russian Formalist film theorists perceived immanence as a specific method of discussing the limits of ability for a technological object. Specifically, this is the scope of potential uses of an object outside of the limits prescribed by culture or convention, and is instead simply the empirical spectrum of function for a technological artifact.

Transcendentalism

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Transcendentalism is a philosophical movement that developed in the late 1820s and 1830s in the eastern United States. A core belief is in the inherent goodness of people and nature, and while society and its institutions have corrupted the purity of the individual, people are at their best when truly "self-reliant" and independent.

Transcendentalism emphasizes subjective intuition over objective empiricism. Adherents believe that individuals are capable of generating completely original insights with little attention and deference to past masters. It arose as a reaction, to protest against the general state of intellectualism and spirituality at the time. The doctrine of the Unitarian church as taught at Harvard Divinity School was closely related.

Transcendentalism emerged from "English and German Romanticism, the Biblical criticism of Johann Gottfried Herder and Friedrich Schleiermacher, the skepticism of David Hume", and the transcendental philosophy of Immanuel Kant and German Idealism. Miller and Versluis regard Emanuel Swedenborg and Jakob Böhme as pervasive influences on transcendentalism. It was also strongly influenced by Hindu texts on philosophy of the mind and spirituality, especially the Upanishads.

Origin

Transcendentalism is closely related to Unitarianism, the dominant religious movement in Boston in the early nineteenth century. It started to develop after Unitarianism took hold at Harvard University, following the elections of Henry Ware as the Hollis Professor of Divinity in 1805 and of John Thornton Kirkland as President in 1810. Transcendentalism was not a rejection of Unitarianism; rather, it developed as an organic consequence of the Unitarian emphasis on free conscience and the value of intellectual reason. The transcendentalists were not content with the sobriety, mildness, and calm rationalism of Unitarianism. Instead, they longed for a more intense spiritual experience. Thus, transcendentalism was not born as a counter-movement to Unitarianism, but as a parallel movement to the very ideas introduced by the Unitarians.

Transcendental Club

Transcendentalism became a coherent movement and a sacred organization with the founding of the Transcendental Club in Cambridge, Massachusetts, on September 8, 1836, by prominent New England intellectuals, including George Putnam (Unitarian minister), Ralph Waldo Emerson, and Frederic Henry Hedge. Other members of the club included Amos Bronson Alcott, Orestes Brownson, Theodore Parker, Henry David Thoreau, William Henry Channing, James Freeman Clarke, Christopher Pearse Cranch, Convers Francis, Sylvester Judd, and Jones Very. Female members included Sophia Ripley, Margaret Fuller, Elizabeth Peabody, Ellen Sturgis Hooper, and Caroline Sturgis Tappan. From 1840, the group frequently published in their journal The Dial, along with other venues.

Second wave of transcendentalists

By the late 1840s, Emerson believed that the movement was dying out, and even more so after the death of Margaret Fuller in 1850. "All that can be said," Emerson wrote, "is that she represents an interesting hour and group in American cultivation." There was, however, a second wave of transcendentalists, including Moncure Conway, Octavius Brooks Frothingham, Samuel Longfellow and Franklin Benjamin Sanborn. Notably, the transcendence of the spirit, most often evoked by the poet's prosaic voice, is said to endow in the reader a sense of purposefulness. This is the underlying theme in the majority of transcendentalist essays and papers—all of which are centered on subjects which assert a love for individual expression. Though the group was mostly made up of struggling aesthetes, the wealthiest among them was Samuel Gray Ward, who, after a few contributions to The Dial, focused on his banking career.

Beliefs

Transcendentalists are strong believers in the power of the individual. It is primarily concerned with personal freedom. Their beliefs are closely linked with those of the Romantics, but differ by an attempt to embrace or, at least, to not oppose the empiricism of science.

Transcendental knowledge

Transcendentalists desire to ground their religion and philosophy in principles based upon the German Romanticism of Johann Gottfried Herder and Friedrich Schleiermacher. Transcendentalism merged "English and German Romanticism, the Biblical criticism of Herder and Schleiermacher, the skepticism of Hume", and the transcendental philosophy of Immanuel Kant (and of German Idealism more generally), interpreting Kant's a priori categories as a priori knowledge. Early transcendentalists were largely unacquainted with German philosophy in the original and relied primarily on the writings of Thomas Carlyle, Samuel Taylor Coleridge, Victor Cousin, Germaine de Staël, and other English and French commentators for their knowledge of it. The transcendental movement can be described as an American outgrowth of English Romanticism.

Individualism

Transcendentalists believe that society and its institutions—particularly organized religion and political parties—corrupt the purity of the individual. They have faith that people are at their best when truly "self-reliant" and independent. It is only from such real individuals that true community can form. Even with this necessary individuality, transcendentalists also believe that all people are outlets for the "Over-Soul." Because the Over-Soul is one, this unites all people as one being.  Emerson alludes to this concept in the introduction of the American Scholar address, "that there is One Man, - present to all particular men only partially, or through one faculty; and that you must take the whole society to find the whole man." Such an ideal is in harmony with Transcendentalist individualism, as each person is empowered to behold within him or herself a piece of the divine Over-Soul.

Indian religions

Transcendentalism has been directly influenced by Indian religions. Thoreau in Walden spoke of the Transcendentalists' debt to Indian religions directly:

In the morning I bathe my intellect in the stupendous and cosmogonal philosophy of the Bhagavat Geeta, since whose composition years of the gods have elapsed, and in comparison with which our modern world and its literature seem puny and trivial; and I doubt if that philosophy is not to be referred to a previous state of existence, so remote is its sublimity from our conceptions. I lay down the book and go to my well for water, and lo! there I meet the servant of the Brahmin, priest of Brahma, and Vishnu and Indra, who still sits in his temple on the Ganges reading the Vedas, or dwells at the root of a tree with his crust and water-jug. I meet his servant come to draw water for his master, and our buckets as it were grate together in the same well. The pure Walden water is mingled with the sacred water of the Ganges.

In 1844, the first English translation of the Lotus Sutra was included in The Dial, a publication of the New England Transcendentalists, translated from French by Elizabeth Palmer Peabody.

Idealism

Transcendentalists differ in their interpretations of the practical aims of will. Some adherents link it with utopian social change; Brownson, for example, connected it with early socialism, but others consider it an exclusively individualist and idealist project. Emerson believed the latter. In his 1842 lecture "The Transcendentalist", he suggested that the goal of a purely transcendental outlook on life was impossible to attain in practice:

You will see by this sketch that there is no such thing as a transcendental party; that there is no pure transcendentalist; that we know of no one but prophets and heralds of such a philosophy; that all who by strong bias of nature have leaned to the spiritual side in doctrine, have stopped short of their goal. We have had many harbingers and forerunners; but of a purely spiritual life, history has afforded no example. I mean, we have yet no man who has leaned entirely on his character, and eaten angels' food; who, trusting to his sentiments, found life made of miracles; who, working for universal aims, found himself fed, he knew not how; clothed, sheltered, and weaponed, he knew not how, and yet it was done by his own hands. ...Shall we say, then, that transcendentalism is the Saturnalia or excess of Faith; the presentiment of a faith proper to man in his integrity, excessive only when his imperfect obedience hinders the satisfaction of his wish.

Importance of nature

Transcendentalists have a deep gratitude and appreciation for nature, not only for aesthetic purposes, but also as a tool to observe and understand the structured inner workings of the natural world. Emerson emphasizes the Transcendental beliefs in the holistic power of the natural landscape in Nature:

In the woods, we return to reason and faith. There I feel that nothing can befall me in life, — no disgrace, no calamity, (leaving me my eyes,) which nature cannot repair. Standing on the bare ground, — my head bathed by the blithe air, and uplifted into infinite space, — all mean egotism vanishes. I become a transparent eye-ball; I am nothing; I see all; the currents of the Universal Being circulate through me; I am part or particle of God.

The conservation of an undisturbed natural world is also extremely important to the Transcendentalists. The idealism that is a core belief of Transcendentalism results in an inherent skepticism of capitalism, westward expansion, and industrialization. As early as 1843, in Summer on the Lakes, Margaret Fuller noted that "the noble trees are gone already from this island to feed this caldron," and in 1854, in Walden, Thoreau regards the trains which are beginning to spread across America's landscape as a "winged horse or fiery dragon" that "sprinkle[s] all the restless men and floating merchandise in the country for seed."

Influence on other movements

Transcendentalism is, in many aspects, the first notable American intellectual movement. It has inspired succeeding generations of American intellectuals, as well as some literary movements.

Transcendentalism influenced the growing movement of "Mental Sciences" of the mid-19th century, which would later become known as the New Thought movement. New Thought considers Emerson its intellectual father. Emma Curtis Hopkins ("the teacher of teachers"), Ernest Holmes (founder of Religious Science), Charles and Myrtle Fillmore (founders of Unity), and Malinda Cramer and Nona L. Brooks (founders of Divine Science) were all greatly influenced by Transcendentalism.

Transcendentalism also influenced Hinduism. Ram Mohan Roy (1772–1833), the founder of the Brahmo Samaj, rejected Hindu mythology, but also the Christian trinity. He found that Unitarianism came closest to true Christianity, and had a strong sympathy for the Unitarians, who were closely connected to the Transcendentalists. Ram Mohan Roy founded a missionary committee in Calcutta, and in 1828 asked for support for missionary activities from the American Unitarians. By 1829, Roy had abandoned the Unitarian Committee, but after Roy's death, the Brahmo Samaj kept close ties to the Unitarian Church, who strived towards a rational faith, social reform, and the joining of these two in a renewed religion. Its theology was called "neo-Vedanta" by Christian commentators, and has been highly influential in the modern popular understanding of Hinduism, but also of modern western spirituality, which re-imported the Unitarian influences in the disguise of the seemingly age-old Neo-Vedanta.

Major figures

Major figures in the transcendentalist movement were Ralph Waldo Emerson, Henry David Thoreau, Margaret Fuller, and Amos Bronson Alcott. Some other prominent transcendentalists included Louisa May Alcott, Charles Timothy Brooks, Orestes Brownson, William Ellery Channing, William Henry Channing, James Freeman Clarke, Christopher Pearse Cranch, John Sullivan Dwight, Convers Francis, William Henry Furness, Frederic Henry Hedge, Sylvester Judd, Theodore Parker, Elizabeth Palmer Peabody, George Ripley, Thomas Treadwell Stone, Jones Very, Christopher McCandless and Walt Whitman.

Criticism

Early in the movement's history, the term "Transcendentalists" was used as a pejorative term by critics, who were suggesting their position was beyond sanity and reason. Nathaniel Hawthorne wrote a novel, The Blithedale Romance (1852), satirizing the movement, and based it on his experiences at Brook Farm, a short-lived utopian community founded on transcendental principles.

Edgar Allan Poe wrote a story, "Never Bet the Devil Your Head" (1841), in which he embedded elements of deep dislike for transcendentalism, calling its followers "Frogpondians" after the pond on Boston Common. The narrator ridiculed their writings by calling them "metaphor-run" lapsing into "mysticism for mysticism's sake", and called it a "disease." The story specifically mentions the movement and its flagship journal The Dial, though Poe denied that he had any specific targets. In Poe's essay "The Philosophy of Composition" (1846), he offers criticism denouncing "the excess of the suggested meaning... which turns into prose (and that of the very flattest kind) the so-called poetry of the so-called transcendentalists."

Cogeneration

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Diagram comparing losses from conventional generation vs. cogeneration

Cogeneration or combined heat and power (CHP) is the use of a heat engine or power station to generate electricity and useful heat at the same time. Trigeneration or combined cooling, heat and power (CCHP) refers to the simultaneous generation of electricity and useful heating and cooling from the combustion of a fuel or a solar heat collector. The terms cogeneration and trigeneration can also be applied to the power systems simultaneously generating electricity, heat, and industrial chemicals (e.g., syngas).

Cogeneration is a more efficient use of fuel because otherwise-wasted heat from electricity generation is put to some productive use. Combined heat and power (CHP) plants recover otherwise wasted thermal energy for heating. This is also called combined heat and power district heating. Small CHP plants are an example of decentralized energy. By-product heat at moderate temperatures (100–180 °C, 212–356 °F) can also be used in absorption refrigerators for cooling.

The supply of high-temperature heat first drives a gas or steam turbine-powered generator. The resulting low-temperature waste heat is then used for water or space heating. At smaller scales (typically below 1 MW), a gas engine or diesel engine may be used. Trigeneration differs from cogeneration in that the waste heat is used for both heating and cooling, typically in an absorption refrigerator. Combined cooling, heat, and power systems can attain higher overall efficiencies than cogeneration or traditional power plants. In the United States, the application of trigeneration in buildings is called building cooling, heating, and power. Heating and cooling output may operate concurrently or alternately depending on need and system construction.

Cogeneration was practiced in some of the earliest installations of electrical generation. Before central stations distributed power, industries generating their own power used exhaust steam for process heating. Large office and apartment buildings, hotels, and stores commonly generated their own power and used waste steam for building heat. Due to the high cost of early purchased power, these CHP operations continued for many years after utility electricity became available.

Overview

Masnedø CHP power station in Denmark. This station burns straw as fuel. The adjacent greenhouses are heated by district heating from the plant.

Many process industries, such as chemical plants, oil refineries and pulp and paper mills, require large amounts of process heat for such operations as chemical reactors, distillation columns, steam driers and other uses. This heat, which is usually used in the form of steam, can be generated at the typically low pressures used in heating, or can be generated at much higher pressure and passed through a turbine first to generate electricity. In the turbine the steam pressure and temperature is lowered as the internal energy of the steam is converted to work. The lower-pressure steam leaving the turbine can then be used for process heat.

Steam turbines at thermal power stations are normally designed to be fed high-pressure steam, which exits the turbine at a condenser operating a few degrees above ambient temperature and at a few millimeters of mercury absolute pressure. (This is called a condensing turbine.) For all practical purposes this steam has negligible useful energy before it is condensed. Steam turbines for cogeneration are designed for extraction of some steam at lower pressures after it has passed through a number of turbine stages, with the un-extracted steam going on through the turbine to a condenser. In this case, the extracted steam causes a mechanical power loss in the downstream stages of the turbine. Or they are designed, with or without extraction, for final exhaust at back pressure (non-condensing). The extracted or exhaust steam is used for process heating. Steam at ordinary process heating conditions still has a considerable amount of enthalpy that could be used for power generation, so cogeneration has an opportunity cost.

A typical power generation turbine in a paper mill may have extraction pressures of 160 psig (1.103 MPa) and 60 psig (0.41 MPa). A typical back pressure may be 60 psig (0.41 MPa). In practice these pressures are custom designed for each facility. Conversely, simply generating process steam for industrial purposes instead of high enough pressure to generate power at the top end also has an opportunity cost. The capital and operating cost of high-pressure boilers, turbines, and generators is substantial. This equipment is normally operated continuously, which usually limits self-generated power to large-scale operations.

A cogeneration plant in Metz, France. The 45MW boiler uses waste wood biomass as an energy source, providing electricity and heat for 30,000 dwellings.

A combined cycle (in which several thermodynamic cycles produce electricity), may also be used to extract heat using a heating system as condenser of the power plant's bottoming cycle. For example, the RU-25 MHD generator in Moscow heated a boiler for a conventional steam powerplant, whose condensate was then used for space heat. A more modern system might use a gas turbine powered by natural gas, whose exhaust powers a steam plant, whose condensate provides heat. Cogeneration plants based on a combined cycle power unit can have thermal efficiencies above 80%.

The viability of CHP (sometimes termed utilisation factor), especially in smaller CHP installations, depends on a good baseload of operation, both in terms of an on-site (or near site) electrical demand and heat demand. In practice, an exact match between the heat and electricity needs rarely exists. A CHP plant can either meet the need for heat (heat driven operation) or be run as a power plant with some use of its waste heat, the latter being less advantageous in terms of its utilisation factor and thus its overall efficiency. The viability can be greatly increased where opportunities for trigeneration exist. In such cases, the heat from the CHP plant is also used as a primary energy source to deliver cooling by means of an absorption chiller.

CHP is most efficient when heat can be used on-site or very close to it. Overall efficiency is reduced when the heat must be transported over longer distances. This requires heavily insulated pipes, which are expensive and inefficient; whereas electricity can be transmitted along a comparatively simple wire, and over much longer distances for the same energy loss.

A car engine becomes a CHP plant in winter when the reject heat is useful for warming the interior of the vehicle. The example illustrates the point that deployment of CHP depends on heat uses in the vicinity of the heat engine.

Thermally enhanced oil recovery (TEOR) plants often produce a substantial amount of excess electricity. After generating electricity, these plants pump leftover steam into heavy oil wells so that the oil will flow more easily, increasing production. TEOR cogeneration plants in Kern County, California produce so much electricity that it cannot all be used locally and is transmitted to Los Angeles.

CHP is one of the most cost-efficient methods of reducing carbon emissions from heating systems in cold climates  and is recognized to be the most energy efficient method of transforming energy from fossil fuels or biomass into electric power. Cogeneration plants are commonly found in district heating systems of cities, central heating systems of larger buildings (e.g. hospitals, hotels, prisons) and are commonly used in the industry in thermal production processes for process water, cooling, steam production or CO2 fertilization.

Types of plants

Hanasaari Power Plant, a coal-fired cogeneration power plant in Helsinki, Finland

Topping cycle plants primarily produce electricity from a steam turbine. Partly expanded steam is then condensed in a heating condensor at a temperature level that is suitable e.g. district heating or water desalination.

Bottoming cycle plants produce high temperature heat for industrial processes, then a waste heat recovery boiler feeds an electrical plant. Bottoming cycle plants are only used in industrial processes that require very high temperatures such as furnaces for glass and metal manufacturing, so they are less common.

Large cogeneration systems provide heating water and power for an industrial site or an entire town. Common CHP plant types are:

  • Gas turbine CHP plants using the waste heat in the flue gas of gas turbines. The fuel used is typically natural gas.
  • Gas engine CHP plants use a reciprocating gas engine, which is generally more competitive than a gas turbine up to about 5 MW. The gaseous fuel used is normally natural gas. These plants are generally manufactured as fully packaged units that can be installed within a plantroom or external plant compound with simple connections to the site's gas supply, electrical distribution network and heating systems. Typical outputs and efficiences see  Typical large example see 
  • Biofuel engine CHP plants use an adapted reciprocating gas engine or diesel engine, depending upon which biofuel is being used, and are otherwise very similar in design to a Gas engine CHP plant. The advantage of using a biofuel is one of reduced hydrocarbon fuel consumption and thus reduced carbon emissions. These plants are generally manufactured as fully packaged units that can be installed within a plantroom or external plant compound with simple connections to the site's electrical distribution and heating systems. Another variant is the wood gasifier CHP plant whereby a wood pellet or wood chip biofuel is gasified in a zero oxygen high temperature environment; the resulting gas is then used to power the gas engine.
  • Combined cycle power plants adapted for CHP
  • Molten-carbonate fuel cells and solid oxide fuel cells have a hot exhaust, very suitable for heating.
  • Steam turbine CHP plants that use the heating system as the steam condenser for the steam turbine
  • Nuclear power plants, similar to other steam turbine power plants, can be fitted with extractions in the turbines to bleed partially expanded steam to a heating system. With a heating system temperature of 95 °C it is possible to extract about 10 MW heat for every MW electricity lost. With a temperature of 130 °C the gain is slightly smaller, about 7 MW for every MWe lost. A review of cogeneration options is in.

Smaller cogeneration units may use a reciprocating engine or Stirling engine. The heat is removed from the exhaust and radiator. The systems are popular in small sizes because small gas and diesel engines are less expensive than small gas- or oil-fired steam-electric plants.

Some cogeneration plants are fired by biomass, or industrial and municipal solid waste (see incineration). Some CHP plants utilize waste gas as the fuel for electricity and heat generation. Waste gases can be gas from animal waste, landfill gas, gas from coal mines, sewage gas, and combustible industrial waste gas.

Some cogeneration plants combine gas and solar photovoltaic generation to further improve technical and environmental performance. Such hybrid systems can be scaled down to the building level[15] and even individual homes.

MicroCHP

Micro combined heat and power or 'Micro cogeneration" is a so-called distributed energy resource (DER). The installation is usually less than 5 kWe in a house or small business. Instead of burning fuel to merely heat space or water, some of the energy is converted to electricity in addition to heat. This electricity can be used within the home or business or, if permitted by the grid management, sold back into the electric power grid.

Delta-ee consultants stated in 2013 that with 64% of global sales the fuel cell micro-combined heat and power passed the conventional systems in sales in 2012. 20.000 units were sold in Japan in 2012 overall within the Ene Farm project. With a Lifetime of around 60,000 hours. For PEM fuel cell units, which shut down at night, this equates to an estimated lifetime of between ten and fifteen years. For a price of $22,600 before installation. For 2013 a state subsidy for 50,000 units is in place.

MicroCHP installations use five different technologies: microturbines, internal combustion engines, stirling engines, closed-cycle steam engines, and fuel cells. One author indicated in 2008 that MicroCHP based on Stirling engines is the most cost-effective of the so-called microgeneration technologies in abating carbon emissions. A 2013 UK report from Ecuity Consulting stated that MCHP is the most cost-effective method of using gas to generate energy at the domestic level. However, advances in reciprocation engine technology are adding efficiency to CHP plants, particularly in the biogas field. As both MiniCHP and CHP have been shown to reduce emissions  they could play a large role in the field of CO2 reduction from buildings, where more than 14% of emissions can be saved using CHP in buildings. The University of Cambridge reported a cost-effective steam engine MicroCHP prototype in 2017 which has the potential to be commercially competitive in the following decades.

 Quite recently, in some private homes, fuel cell micro-CHP plants can now be found, which can operate on hydrogen, or other fuels as natural gas or LPG. When running on natural gas, it relies on steam reforming of natural gas to convert the natural gas to hydrogen prior to use in the fuel cell. This hence still emits CO
2
(see reaction) but (temporarily) running on this can be a good solution until the point where the hydrogen is starting to be become distributed through the (natural gas) piping system.

Trigeneration

Trigeneration cycle

A plant producing electricity, heat and cold is called a trigeneration or polygeneration plant. Cogeneration systems linked to absorption chillers or adsorption chillers use waste heat for refrigeration.

Combined heat and power district heating

In the United States, Consolidated Edison distributes 66 billion kilograms of 350 °F (180 °C) steam each year through its seven cogeneration plants to 100,000 buildings in Manhattan—the biggest steam district in the United States. The peak delivery is 10 million pounds per hour (or approximately 2.5 GW).

Industrial CHP

Cogeneration is still common in pulp and paper mills, refineries and chemical plants. In this "industrial cogeneration/CHP", the heat is typically recovered at higher temperatures (above 100 deg C) and used for process steam or drying duties. This is more valuable and flexible than low-grade waste heat, but there is a slight loss of power generation. The increased focus on sustainability has made industrial CHP more attractive, as it substantially reduces carbon footprint compared to generating steam or burning fuel on-site and importing electric power from the grid.

Utility pressures versus self generated industrial

Industrial cogeneration plants normally operate at much lower boiler pressures than utilities. Among the reasons are: 1) Cogeneration plants face possible contamination of returned condensate. Because boiler feed water from cogeneration plants has much lower return rates than 100% condensing power plants, industries usually have to treat proportionately more boiler make up water. Boiler feed water must be completely oxygen free and de-mineralized, and the higher the pressure the more critical the level of purity of the feed water. 2) Utilities are typically larger scale power than industry, which helps offset the higher capital costs of high pressure. 3) Utilities are less likely to have sharp load swings than industrial operations, which deal with shutting down or starting up units that may represent a significant percent of either steam or power demand.

Heat recovery steam generators

A heat recovery steam generator (HRSG) is a steam boiler that uses hot exhaust gases from the gas turbines or reciprocating engines in a CHP plant to heat up water and generate steam. The steam, in turn, drives a steam turbine or is used in industrial processes that require heat.

HRSGs used in the CHP industry are distinguished from conventional steam generators by the following main features:

  • The HRSG is designed based upon the specific features of the gas turbine or reciprocating engine that it will be coupled to.
  • Since the exhaust gas temperature is relatively low, heat transmission is accomplished mainly through convection.
  • The exhaust gas velocity is limited by the need to keep head losses down. Thus, the transmission coefficient is low, which calls for a large heating surface area.
  • Since the temperature difference between the hot gases and the fluid to be heated (steam or water) is low, and with the heat transmission coefficient being low as well, the evaporator and economizer are designed with plate fin heat exchangers.

Cogeneration using biomass

Biomass is emerging as one of the most important sources of renewable energy. Biomass refers to any plant or animal matter in which it is possible to be reused as a source of heat or electricity, such as sugarcane, vegetable oils, wood, organic waste and residues from the food or agricultural industries. Brazil is now considered a world reference in terms of energy generation from biomass.

A growing sector in the use of biomass for power generation is the sugar and alcohol sector, which mainly uses sugarcane bagasse as fuel for thermal and electric power generation 

Power cogeneration in the sugar and alcohol sector

In the sugarcane industry, cogeneration is fuelled by the bagasse residue of sugar refining, which is burned to produce steam. Some steam can be sent through a turbine that turns a generator, producing electric power.

Energy cogeneration in sugarcane industries located in Brazil is a practice that has been growing in last years. With the adoption of energy cogeneration in the sugar and alcohol sector, the sugarcane industries are able to supply the electric energy demand needed to operate, and generate a surplus that can be commercialized.

Advantages of the cogeneration using sugarcane bagasse

In comparison with the electric power generation by means of fossil fuel-based thermoelectric plants, such as natural gas, the energy generation using sugarcane bagasse has environmental advantages due to the reduction of CO2 emissions.

In addition to the environmental advantages, cogeneration using sugarcane bagasse presents advantages in terms of efficiency comparing to thermoelectric generation, through the final destination of the energy produced. While in thermoelectric generation, part of the heat produced is lost, in cogeneration this heat has the possibility of being used in the production processes, increasing the overall efficiency of the process.[38]

Disadvantages of the cogeneration using sugarcane bagasse

In sugarcane cultivation, is usually used potassium source's containing high concentration of chlorine, such as potassium chloride (KCl). Considering that KCl is applied in huge quantities, sugarcane ends up absorbing high concentrations of chlorine.[39]

Due to this absorption, when the sugarcane bagasse is burned in the power cogeneration, dioxins [39] and methyl chloride [40] ends up being emitted. In the case of dioxins, these substances are considered very toxic and cancerous.[41][42][43]

In the case of methyl chloride, when this substance is emitted and reaches the stratosphere, it ends up being very harmful for the ozone layer, since chlorine when combined with the ozone molecule generates a catalytic reaction leading to the breakdown of ozone links.[40]

After each reaction, chlorine starts a destructive cycle with another ozone molecule. In this way, a single chlorine atom can destroy thousands of ozone molecules. As these molecules are being broken, they are unable to absorb the ultraviolet rays. As a result, the UV radiation is more intense on Earth and there is a worsening of global warming.[40]

Comparison with a heat pump

A heat pump may be compared with a CHP unit as follows. If, to supply thermal energy, the exhaust steam from the turbo-generator must be taken at a higher temperature than the system would produce most electricity at, the lost electrical generation is as if a heat pump were used to provide the same heat by taking electrical power from the generator running at lower output temperature and higher efficiency.[44] Typically for every unit of electrical power lost, then about 6 units of heat are made available at about 90 °C. Thus CHP has an effective Coefficient of Performance (COP) compared to a heat pump of 6.[45] However, for a remotely operated heat pump, losses in the electrical distribution network would need to be considered, of the order of 6%. Because the losses are proportional to the square of the current, during peak periods losses are much higher than this and it is likely that widespread (i.e. citywide application of heat pumps) would cause overloading of the distribution and transmission grids unless they were substantially reinforced.

It is also possible to run a heat driven operation combined with a heat pump, where the excess electricity (as heat demand is the defining factor on utilization) is used to drive a heat pump. As heat demand increases, more electricity is generated to drive the heat pump, with the waste heat also heating the heating fluid.

Distributed generation

Most industrial countries generate the majority of their electrical power needs in large centralized facilities with capacity for large electrical power output. These plants benefit from economy of scale, but may need to transmit electricity across long distances causing transmission losses. Cogeneration or trigeneration production is subject to limitations in the local demand and thus may sometimes need to reduce (e.g., heat or cooling production to match the demand). An example of cogeneration with trigeneration applications in a major city is the New York City steam system.

Thermal efficiency

Every heat engine is subject to the theoretical efficiency limits of the Carnot cycle or subset Rankine cycle in the case of steam turbine power plants or Brayton cycle in gas turbine with steam turbine plants. Most of the efficiency loss with steam power generation is associated with the latent heat of vaporization of steam that is not recovered when a turbine exhausts its low temperature and pressure steam to a condenser. (Typical steam to condenser would be at a few millimeters absolute pressure and on the order of 5 °C/11 °F hotter than the cooling water temperature, depending on the condenser capacity.) In cogeneration this steam exits the turbine at a higher temperature where it may be used for process heat, building heat or cooling with an absorption chiller. The majority of this heat is from the latent heat of vaporization when the steam condenses.

Thermal efficiency in a cogeneration system is defined as:

Where:

= Thermal efficiency
= Total work output by all systems
= Total heat input into the system

Heat output may also be used for cooling (for example, in summer), thanks to an absorption chiller. If cooling is achieved in the same time, thermal efficiency in a trigeneration system is defined as:

Where:

= Thermal efficiency
= Total work output by all systems
= Total heat input into the system

Typical cogeneration models have losses as in any system. The energy distribution below is represented as a percent of total input energy:

Electricity = 45%
Heat + Cooling = 40%
Heat losses = 13%
Electrical line losses = 2%

Conventional central coal- or nuclear-powered power stations convert about 33-45% of their input heat to electricity. Brayton cycle power plants operate at up to 60% efficiency. In the case of conventional power plants, approximately 10-15% of this heat is lost up the stack of the boiler. Most of the remaining heat emerges from the turbines as low-grade waste heat with no significant local uses, so it is usually rejected to the environment, typically to cooling water passing through a condenser. Because turbine exhaust is normally just above ambient temperature, some potential power generation is sacrificed in rejecting higher-temperature steam from the turbine for cogeneration purposes.

For cogeneration to be practical power generation and end use of heat must be in relatively close proximity (<2 km typically). Even though the efficiency of a small distributed electrical generator may be lower than a large central power plant, the use of its waste heat for local heating and cooling can result in an overall use of the primary fuel supply as great as 80%. This provides substantial financial and environmental benefits.

Costs

Typically, for a gas-fired plant the fully installed cost per kW electrical is around £400/kW (US$577), which is comparable with large central power stations.

History

Cogeneration in Europe

A cogeneration thermal power plant in Ferrera Erbognone (PV), Italy

The EU has actively incorporated cogeneration into its energy policy via the CHP Directive. In September 2008 at a hearing of the European Parliament's Urban Lodgment Intergroup, Energy Commissioner Andris Piebalgs is quoted as saying, “security of supply really starts with energy efficiency.” Energy efficiency and cogeneration are recognized in the opening paragraphs of the European Union's Cogeneration Directive 2004/08/EC. This directive intends to support cogeneration and establish a method for calculating cogeneration abilities per country. The development of cogeneration has been very uneven over the years and has been dominated throughout the last decades by national circumstances.

The European Union generates 11% of its electricity using cogeneration. However, there is large difference between Member States with variations of the energy savings between 2% and 60%. Europe has the three countries with the world's most intensive cogeneration economies: Denmark, the Netherlands and Finland. Of the 28.46 TWh of electrical power generated by conventional thermal power plants in Finland in 2012, 81.80% was cogeneration.

Other European countries are also making great efforts to increase efficiency. Germany reported that at present, over 50% of the country's total electricity demand could be provided through cogeneration. So far, Germany has set the target to double its electricity cogeneration from 12.5% of the country's electricity to 25% of the country's electricity by 2020 and has passed supporting legislation accordingly. The UK is also actively supporting combined heat and power. In light of UK's goal to achieve a 60% reduction in carbon dioxide emissions by 2050, the government has set the target to source at least 15% of its government electricity use from CHP by 2010. Other UK measures to encourage CHP growth are financial incentives, grant support, a greater regulatory framework, and government leadership and partnership.

According to the IEA 2008 modeling of cogeneration expansion for the G8 countries, the expansion of cogeneration in France, Germany, Italy and the UK alone would effectively double the existing primary fuel savings by 2030. This would increase Europe's savings from today's 155.69 Twh to 465 Twh in 2030. It would also result in a 16% to 29% increase in each country's total cogenerated electricity by 2030.

Governments are being assisted in their CHP endeavors by organizations like COGEN Europe who serve as an information hub for the most recent updates within Europe's energy policy. COGEN is Europe's umbrella organization representing the interests of the cogeneration industry.

The European public–private partnership Fuel Cells and Hydrogen Joint Undertaking Seventh Framework Programme project ene.field deploys in 2017 up 1,000 residential fuel cell Combined Heat and Power (micro-CHP) installations in 12 states. Per 2012 the first 2 installations have taken place.

Cogeneration in the United Kingdom

In the United Kingdom, the Combined Heat and Power Quality Assurance scheme regulates the combined production of heat and power. It was introduced in 1996. It defines, through calculation of inputs and outputs, "Good Quality CHP" in terms of the achievement of primary energy savings against conventional separate generation of heat and electricity. Compliance with Combined Heat and Power Quality Assurance is required for cogeneration installations to be eligible for government subsidies and tax incentives.

Cogeneration in the United States

Perhaps the first modern use of energy recycling was done by Thomas Edison. His 1882 Pearl Street Station, the world's first commercial power plant, was a combined heat and power plant, producing both electricity and thermal energy while using waste heat to warm neighboring buildings. Recycling allowed Edison's plant to achieve approximately 50 percent efficiency.

By the early 1900s, regulations emerged to promote rural electrification through the construction of centralized plants managed by regional utilities. These regulations not only promoted electrification throughout the countryside, but they also discouraged decentralized power generation, such as cogeneration.

By 1978, Congress recognized that efficiency at central power plants had stagnated and sought to encourage improved efficiency with the Public Utility Regulatory Policies Act (PURPA), which encouraged utilities to buy power from other energy producers.

Cogeneration plants proliferated, soon producing about 8% of all energy in the United States. However, the bill left implementation and enforcement up to individual states, resulting in little or nothing being done in many parts of the country.

The United States Department of Energy has an aggressive goal of having CHP constitute 20% of generation capacity by the year 2030. Eight Clean Energy Application Centers have been established across the nation. Their mission is to develop the required technology application knowledge and educational infrastructure necessary to lead "clean energy" (combined heat and power, waste heat recovery, and district energy) technologies as viable energy options and reduce any perceived risks associated with their implementation. The focus of the Application Centers is to provide an outreach and technology deployment program for end users, policymakers, utilities, and industry stakeholders.

High electric rates in New England and the Middle Atlantic make these areas of the United States the most beneficial for cogeneration.

Representation of a Lie group

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