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Plate II.06 · Workbook — the Gainshare employeeThe Glasshouse Behind the Turbine Hall.The turbine took the work out of the steam. The glasshouse is what was left, and what was left is warm, and warmth is not nothing.

WORKBOOK — THE LUMINOUS GAINSHARE EMPLOYEE

Chapter II.06 · Thermodynamics and Economic Flow

For the person working inside a gainshare arrangement — where a defined share of verified improvement returns to the people who created it. This chapter gives you a measure the scheme almost certainly does not yet contain, and a measure is where a gainshare either becomes real or stays decorative.


WHY THIS CHAPTER IS YOURS

A gainshare has four parts: a baseline, a measure, a share, and a period with a named verifier. Miss one and it is a discretionary bonus wearing the word.

The part that decides how much you are paid is the measure — and in almost every energy-linked scheme on earth, the measure is megawatt-hours. That is the wrong unit, and the wrongness is not academic. It is money.

Here is the problem in one line. A 90 percent efficient boiler heating a room runs at a second-law efficiency of 6.20 percent. A heat pump doing the same job runs at 24.99 percent — 4.03 times better. If your scheme measures megawatt-hours purchased, a team that switches to the heat pump may show a larger electricity bill and be paid less for having made the site radically more efficient. The measure punished the improvement.

You are the person best placed to catch that, because you can see the machines and the statement. This workbook is how.


PART ONE — DISCOVERY

Days 1–30: read your own measure

Exercise 1.1 — Interrogate the measure (two hours).

Take your scheme document and answer in writing:

  1. What physical quantity is the measure — energy purchased, energy delivered, cost, or something else?
  2. Does it carry a temperature? If not, it cannot distinguish grade, and it will misprice every heating and cooling change you ever make.
  3. Is there a declared dead state — a reference environment? If nobody can tell you, the answer is no, and that is today's finding.
  4. Does the baseline reset when a gain is realised, and on what schedule?
  5. Who verifies, and when?

Question two is the one that will change your pay. Question four is the one that decides whether the scheme is worth being in at all: a baseline that ratchets to the improved level each period is a treadmill, and a good scheme holds it for a stated term or ratchets on a published schedule everybody can see coming.

Exercise 1.2 — Find the grade mismatches on your own floor (one week).

You can see what the executive cannot: which machine runs hot, which room is overheated in March, which stream goes up the stack while a tank next door is being heated from cold.

For every thermal duty you can point at, write two numbers: the Carnot factor of the source and the factor the task actually needed.

  flame, 1800 °C                     0.8634
  process stack, 300 °C              0.5060
  district heat, 90 °C               0.2203
  low-grade water, 60 °C             0.1501
  room heat, 21 °C in winter         0.0714

Any place a source at 0.5060 is serving a task at 0.1501 is a standing loss — and, in a gainshare, an uncounted gain waiting for somebody to make it countable. That somebody can be you.

Exercise 1.3 — The team conversation (forty-five minutes).

Ask it appreciatively, because the deficit version returns nothing usable:

"Where do we already use something another part of this site finished with? Who set that up, and what made it possible?"

Take notes on conditions, not outcomes. You are assembling repeatable causes, which is precisely what a gainshare pays for.


PART TWO — THE ARITHMETIC

Days 31–45: compute what you are owed

Exercise 2.1 — Build the exergy column yourself.

One spreadsheet. For each stream: energy, delivered temperature, dead state, Carnot factor, exergy delivered, exergy destroyed.

Declare the dead state on line one — 283.15 K is a defensible temperate default — and never change it. If you change it mid-scheme, you have altered every figure in the ledger and nobody will notice, including you. In a gainshare, the reference environment is as load-bearing as the baseline, and it deserves the same signature.

Exercise 2.2 — Price one mismatch.

Take the largest mismatch you found and compute what the correctly matched alternative would consume. The chapter's worked case is the model:

  gas route, 40,000 MWh-th at 55 °C via a 92 % boiler
     fuel                       43,478  MWh
     second-law efficiency       14.02  %
  heat pump route, COP 3.2
     electricity                 12,500  MWh
     second-law efficiency        48.76  %
  exergy input falls by           71.2  %  for the identical service

Note what your scheme would have recorded: the electricity line rose. Unless the measure carries grade, the improvement looks like a cost increase.

Exercise 2.3 — Compute the gain, then compute your share.

  verified improvement  =  baseline exergy  −  current period exergy
  the pool              =  improvement  ×  value per unit  ×  share %
  your line             =  the pool      ×  your allocation basis

Do this yourself, before the statement arrives. Two things follow from doing it first: you will catch an arithmetic error the month it happens rather than a year later, and you will walk into the conversation with a number rather than a feeling.

Exercise 2.4 — Know the honest limit of your own argument.

Do not walk in overstating this. Compute where your measure stops discriminating:

  energy at 30.0 % of site cost  →  a 20 % exergy saving moves cost  6.00 %
  energy at 10.0 % of site cost  →                                   2.00 %
  energy at  2.0 % of site cost  →                                   0.40 %

If your site sits below roughly two percent, say so before anybody asks. The person who names the boundary of their own case is the person who gets believed about the middle of it, and you will need to be believed more than once.


PART THREE — DESIGN

Days 46–70: make the uncounted countable

Step 3.1 — Propose one amendment, not five.

The amendment is a single sentence:

For thermal streams, the scheme measure shall be exergy delivered, computed as energy × (1 − T₀/T), with T the delivered temperature and T₀ the dead state declared in Appendix A and fixed for the scheme term.

That is the whole change. It costs nothing, requires no new meter in most plants, and it makes every future grade improvement payable.

Step 3.2 — Bring the worked example, not the principle.

Nobody amends a scheme because of thermodynamics. They amend it because somebody showed them a case where the current measure would have paid the wrong answer. Bring yours: the duty, the two routes, the second-law efficiencies, and the line your statement would have shown.

Step 3.3 — Ask for the grade clause in any heat sold off site.

If your site sells heat to anybody — a neighbour, a network, a greenhouse — ask whether the contract prices grade. At a flat 38.04 EUR/MWh-thermal, a ninety-degree buyer pays 172.69 EUR per megawatt-hour of exergy and a sixty-degree buyer pays 253.48, an overcharge of 46.8 percent. Indexed — price(T) = base × f(T)/f(90 °C) — the sixty-degree price is 25.92 EUR/MWh-thermal.

Why this is yours: if the site's stream drifts cooler and the contract does not index, the customer quietly overpays until they leave, and the revenue that fed your pool leaves with them.

Step 3.4 — Get it into the standing pack.

Two lines, monthly: exergy delivered, exergy destroyed. Anything reviewed monthly persists. A gainshare measure that is not in the standing pack is a measure that will be recomputed by somebody under time pressure at year end, and that is where shares go missing.


PART FOUR — DESTINY AND DELIGHT

Days 71–90: make it hold, and take the credit

Get a second owner. One person operating an exergy account is a hobby; two is a practice. Recruit yours by giving them the credit for the first result. It costs you nothing you can spend and buys the thing you cannot buy — continuity when you are on leave.

Write the rebound allowance in before somebody finds it. An efficiency gain that cheapens a service raises demand for it; the empirical range for direct rebound in heating is in the low tens of percent. Claim your saving net of a stated allowance. A claim without one gets challenged the first time somebody reads the meter, and the challenge costs more than the allowance.

Protect the dead state. The moment an exergy figure touches pay, the reference environment becomes negotiable. Ask for it to be fixed in the scheme appendix for the term and audited annually. This is the single cheapest protection in the whole document and it takes one sentence.

Watch the horizon. A cascade of the kind in the chapter pays back in 4.41 years and returns 22.70 percent against a WACC of 8.00. That is an excellent project and it is longer than many managers' tenure. Ask for the scheme term to run past the payback, or your successor collects what you built.

And the delight, which is not sentimental. There is a particular moment when the exergy column first appears next to the energy column and somebody who has run the site for twenty years leans over and says that cannot be right. It is right. He always knew it in his hands; the report simply never said it. You are the person who closed that gap, and it stays closed.


HOW THE LEDGER WORKS

A gainshare ledger is four columns and a signature, and once exergy is the measure it gets one column wider. Keep it yourself in parallel with whoever keeps the official one; a parallel ledger is not distrust, it is the only way a discrepancy gets found in the month it happens.

ColumnWhat goes in itWho signs
BaselineExergy delivered per unit of output, pre-change, over a period long enough to contain normal variationSponsor and finance
ReferenceThe dead state, in kelvin, fixed for the termBoth, once, in the appendix
Period measureExergy delivered this period, same method, same boundaryThe verifier
ImprovementBaseline minus period measure, net of the stated rebound allowanceThe verifier
Pool and shareImprovement × value per unit × the share percentageFinance

Three rules that decide whether the ledger holds.

Same boundary, every period. If the baseline counted the compressor house and the period measure does not, the improvement is fiction. Write the boundary down once, in a list of meters, and attach it to the baseline.

The reference never moves inside a term. 283.15 K on the first line and 283.15 K in the last period. A changed dead state is a restatement and is disclosed as one.

Costs are stated gross or net, explicitly. An improvement claimed gross with the parasitic load left out is an improvement that gets reduced later, in a room you are not in. Put the parasitic line in yourself — the worked cascade's is 1,575 MWh at 149,625 EUR a year — and claim net of it.

What to ask for, in order of what it is worth. The grade clause in the measure. The fixed dead state in the appendix. A scheme term longer than the payback of the projects it funds. The rebound allowance written into the method rather than argued afterwards. And the two lines in the standing pack, which is the cheapest of the five and the one that keeps the other four alive.


KNOW YOUR SCHEME — A CHECKLIST

Tick what you can evidence. Blanks are the work.

YesDon't know
The measure carries a delivered temperature
A dead state is declared, in writing, and fixed for the term
The baseline is signed, dated, and does not silently ratchet
The share percentage is stated as a number, gross or net specified
A verifier is named, with a period
Exergy delivered and destroyed appear in the standing pack
A rebound allowance is stated in the claim method
Heat sold off site is priced on grade, not flat
The scheme term runs past the payback of the projects it funds
There is a second owner who could run this if you were away

THE CONVERSATION, SCRIPTED

For the meeting where you ask for the amendment. Four moves, in order.

One — open on what is working. "The scheme has paid out three periods running and the measure has never been disputed. That is unusual and it is worth keeping."

Two — the case, not the principle. "Here is a duty where the current measure would have paid us less for making the site better: exergy input falls 71.2 percent and the electricity line rises."

Three — the amendment, in one sentence. Read it out. It is one sentence. Say that it needs no new meter and no capital.

Four — the boundary, volunteered. "This matters on the thermal side and it does not matter in the offices, where energy is under two percent of cost. I am asking for it on the process streams only."

Then stop talking. You have given a number, a sentence, and a limit, and there is nothing left in the room to argue with.


APPRECIATIVE QUESTIONS FOR YOUR TEAM

  1. When has our scheme paid us for something we genuinely made happen? What was it, and what made it countable?
  2. Where on this site does one process already use what another finished with — and who set that up?
  3. What do we know in our hands that the report has never said?
  4. If the measure carried temperature, which of our past changes would have been paid differently?
  5. Who outside this company would pay for what leaves our stacks, and what would that do to the pool?
  6. What is the one number we could start recording this month that would change what we are owed next year?