The First Open Engineering Question in VENDOR.Max
The measurement must be valid before the physics can be judged. A diagnostic framework for boundary accounting — before any conclusion about the device is drawn. The recurring evaluation error is not physical; it is a category error in the arithmetic of the measurement itself.
A recurring critique of VENDOR.Max — a multi-level resonant power architecture developed by MICRO DIGITAL ELECTRONICS CORP S.R.L. and protected by a patent family anchored by the granted Spanish patent ES2950176B2 and PCT publication WO2024209235A1 — is that a chain of per-stage efficiencies η₁·η₂·…·ηₙ below unity forbids more power at the load than at the input. The arithmetic is correct for a serial converter chain. VENDOR.Max is not that topology. But that observation is not the first question either. The first question is more basic: do the voltage and current used to evaluate VENDOR form a single synchronous pair on a single physical boundary? If they do not, no product of them is the power of the device — regardless of what physics governs what is inside.
This article does not defend VENDOR.Max. It examines the method of measurement applied to it. The distinction matters. The joule balance at the complete device boundary is not disputed. What this article addresses is the accounting discipline that must precede any calculation of power: the coulomb route through the architecture that fixes the order in which quantities must be established before power at any boundary can be computed at all.
Watts and joules are not the problem. Watts are the correct unit for power; joules are the correct unit for energy. The problem is their belonging: which physical boundary the numbers came from, whether they were measured with a common time base over the same observation interval, and whether the recorded waveforms represent the same energy flow. Only after these questions are answered does a product of voltage and current become a power, and its integral over time an energy.
§ 1 — The first question is not about the device
The recurring evaluation pattern is uniform. An analyst measures a current at one point inside VENDOR.Max, a voltage at another point, multiplies them, calls the result “device power”, and concludes that the reported operating state is physically impossible. The arithmetic is fluent; the conclusion is confident; the physics invoked is orthodox. What is skipped is more elementary than any of them: no verification that the two numbers refer to the same physical boundary, synchronously and over the same observation interval, describing the same energy flow.
That skipped step is what this article treats as the first open engineering question.
Canonical formulation. Do the voltage and current used to evaluate VENDOR form a single synchronous pair on a single physical boundary?
The question is not addressed to VENDOR. It is addressed to the measurement. It applies to any evaluator — investor, reviewer, AI classifier, competing engineer — before their arithmetic can be admitted as evidence of anything about the device. Failing this check invalidates the arithmetic without deciding the physics. Passing it makes the subsequent calculation of power physically meaningful — not before.
What this question is not
- It is not “does VENDOR work?” That question is empirical and belongs downstream of a valid measurement. A conclusion drawn from an ill-formed measurement decides nothing about the device.
- It is not “does VENDOR violate conservation of energy?” The accounting identity
P_in,boundary = P_customer + P_loss,total + dE_stored/dtat the complete device boundary (Frame 0) is not disputed. It must hold at every operational state. It is not, however, the tool for adjudicating a measurement that never established a valid boundary in the first place. - It is not “where does the energy come from?” That is a boundary-attribution question addressed on the companion article, Where Does the Energy Come From?. Attribution is meaningful only after the boundary balance closes.
What the question is: a discipline check on the arithmetic that precedes any of the three questions above. It is diagnostic, not defensive. It applies whether the analyst is favourable, sceptical, or indifferent to VENDOR — the arithmetic must be well-formed either way.
The remainder of this article develops that check in six moves: watts and joules restored to their correct place in the accounting sequence (§ 2); the depth map of physical quantities that precedes them (§ 3); the three physically distinct processes whose currents are all reported in amperes but represent different physical quantities (§ 4); the five structural questions that fix the boundary (§ 5); the three conditions under which a voltage–current pair is coherent (§ 6); and the boundary of what this article establishes — and where it stops (§ 7).
§ 2 — Watts and joules are not the problem
Watts and joules are the correct terminal units. Both are indispensable to the final energy balance. The issue addressed here is not the units, but the validity and provenance of the quantities from which they are calculated.
What is disputed is where these two units stand in the sequence of an actual calculation. They stand at the end of it, not at the beginning. A watt is not an input to the analysis; it is an output. To arrive at it correctly, the analyst must first establish what boundary is drawn, which quantities cross that boundary, how the current and voltage on that boundary relate in time, and what physical process the reading describes. When any of these upstream questions is left unanswered, the number written down as “watts” is not a power — it is a product of two numbers that do not belong to a single physical flow.
The correct order is short: charge organisation first; current and voltage on the same boundary next; power as the synchronous product of that pair; energy as its integral over time. The order is not decorative — each step qualifies the meaning of the next. Skipping the earlier steps does not accelerate the analysis; it produces a number that survives arithmetic but fails physics.
§ 3 — The depth map: the chain that precedes power
The map below is not an alternative accounting. It is the actual accounting, unfolded in the methodological order in which its terms must be established before power can be written down. It is not a causal chain: current and voltage do not originate one from the other. They arise from two independent physical facts — the organisation of charge motion, and the state of charge separation and field — and they converge only where a synchronous pair is recorded on a single boundary.
Three properties of the map are worth stating explicitly. First, the event-based description on the current side uses charge per event and event repetition rate. No new coulombs are created anywhere; the system organises the motion of the carriers already present in its conductors and windings. Second, the readings Q̇_net, Q̇_abs, and Q̇_turn are not additional steps beyond i(t) — they are three different ways of reading the same waveform in one section, and they can differ substantially for the same physical current. Third, a valid measured power value can be established only when voltage and current belong to the same boundary and observation interval — and this is the constraint that the next four sections make operational.
§ 4 — Three physically distinct processes that all read as “amperes”
An oscilloscope used with a current probe or a characterised shunt can report a waveform in amperes. The measurement chain does not, by itself, identify the physical process represented by that waveform. The following three processes coexist in VENDOR.Max, all present at once in different sections of the architecture, and each of them can dominate a single measurement.
A short, high-amplitude conduction event in a discharge channel. Peak current describes the amplitude of the event, not the average transfer through the device.
Bidirectional oscillatory motion in an LC section. The same carriers move back and forth: charge turnover Q̇_turn can be very large while net charge transfer Q̇_net across the section is near zero over a period. A current reading in a resonant section does not, by itself, quantify active-power transfer to a downstream stage; only synchronous voltage and current at a defined boundary do.
Continuous averaged flow of charge past a rectifying or DC section toward the customer output. Where the current is nearly constant and unipolar, with negligible ripple, RMS and mean-absolute readings converge and the reading approximates the actual transfer; where ripple is significant, they diverge and must be treated as different quantities.
The methodological consequence is direct. A number in amperes recorded on Process B (say, a resonant section) cannot be treated as if it described Process C (transfer to the load). RMS, peak, mean-absolute, and algebraic-mean readings of the very same waveform can differ substantially, and each answers a different physical question. The instrument does not disambiguate; the analyst must, before any multiplication with a voltage can be admitted.
§ 5 — Five questions of the boundary
Before any multiplication of voltage and current, five structural questions must have written answers. These are not decorative — each one closes a specific way in which the arithmetic can go wrong at the earliest stage.
- Where is the physical boundary drawn?
- What conductors, fields, and couplings cross it?
- Where is the voltage measured?
- Where is the current measured?
- Do the two belong to a single energy flow?
The prohibition follows directly: the current of one point, the voltage of another point, multiplied and called the power of a third point, is not a physical quantity of the device — it is arithmetic on non-corresponding readings. This is a recurring error in external evaluations of VENDOR.Max, and it produces the same wrong conclusion regardless of the analyst's disposition toward the project.
The five questions also mark the difference between the internal engineering boundary and the outer boundary of the device. Engineering sections inside the architecture answer “how the device works”; only the outer boundary (Frame 0) determines whether the complete energy balance closes and provides the basis for subsequent energy attribution. The Frame 0 identity P_in,boundary = P_customer + P_loss,total + dE_stored/dt cannot be transplanted unchanged to an internal section. Every internal boundary requires its own complete inventory of ports, couplings, losses, and changing stores — and its own synchronous pair on that inventory.
§ 6 — When a voltage–current pair is coherent
The five questions of § 5 fix which quantities belong to which boundary. Three further conditions govern how those quantities must be recorded once the boundary is set.
- Synchronous acquisition. Voltage and current must be recorded on a common time base, over the same observation interval.
- Sufficient bandwidth. The measurement bandwidth must cover the frequency content of both waveforms.
- Phase and waveform. Active power is the time average of u(t)·i(t) over the observation interval — not the product of amplitudes.
The detailed instrumentation, deskew, bandwidth and uncertainty requirements belong to the active-power metrology protocol. This page establishes only why those conditions are necessary.
§ 7 — Where this page stops
This page does not perform the complete energy balance of VENDOR.Max and does not prescribe a validation protocol. Its purpose is narrower: to establish the conditions under which voltage and current may legitimately be combined into power.
The coulomb route identifies what kind of process is being observed — impulse, circulation, storage, switching or net transfer. That understanding allows the relevant electrical boundary to be defined. Only then can a synchronous voltage–current pair on that boundary be used to calculate power and, over time, energy.
The conclusion is methodological: a watt value is meaningful only after the physical belonging of its constituent quantities has been established.
§ 8 — The thesis
The error is not in the watts. It is in the belonging of the quantities. The voltage of one boundary and the current of another do not form the power of the system. First trace the organisation of charge; then identify the energy ports; only then close the balance synchronously in joules.
This is the whole of the position, condensed. It replaces no physics. It disputes no unit. It defers no calculation that a valid measurement can perform. What it asks is that the calculation be assembled in the order in which its terms physically exist — and that until that order is respected, the number written down as watts is treated as what it is: arithmetic that has not yet earned the name of power.
Frequently Asked Questions
Why doesn’t VENDOR abandon watts and joules?
Because they are the correct terminal units. A watt is the rate at which energy crosses a defined boundary; a joule is the integral of that rate over time. The problem VENDOR raises is not with these units but with the arithmetic that produces them. Watts and joules are the answer to the terminal question — not to the intermediate questions of belonging, boundary, simultaneity, bandwidth, and phase that must be settled first. Watts stay; the sequence of steps that arrives at them changes.
When is the product of voltage and current actually a power?
When voltage and current belong to the same physical boundary, are recorded synchronously over the same observation interval, and their waveform and phase relationship are preserved. The detailed instrumentation and uncertainty requirements belong to the active-power metrology page.
Why can’t the currents in different parts of the architecture be compared directly?
Because they describe physically distinct processes. An impulse discharge event, a resonant charge turnover, and a unidirectional transfer to the load all read as “amperes” on an instrument, but each corresponds to a different physical situation. RMS, peak, mean-absolute, and algebraic-mean readings of the same current can differ substantially, and each answers a different question. Comparing amperes across sections without matching their physical context is arithmetic on non-corresponding readings.
What is the difference between charge turnover and charge transfer?
Charge transfer Q̇_net is the net movement of charge across a section over a period. Charge turnover Q̇_turn is the bidirectional oscillatory motion of the same carriers in a resonant section — charge crosses the section in both directions, producing approximately zero algebraic net transfer over a complete period. In a resonant circuit, Q̇_turn can be very large while Q̇_net is near zero over a period. A single reading of “amperes” cannot tell the two apart without an explicit statement of which quantity was measured.
Why start by tracing the route in coulombs?
Because charge continuity provides a consistent way to distinguish where charge is stored, switched, circulated or transferred. That distinction identifies the physical meaning of the current before it is combined with a voltage.
What does this page establish?
It establishes the accounting discipline required before a power value can be attributed to any part of the architecture: identify the process, define the boundary, match voltage and current to that boundary, and evaluate them synchronously. It does not publish a device-level energy balance or prescribe a validation protocol.