Power Conversion

 μSys provides innovative technical advisory and consulting services within the fields of advanced electronics and power control systems. Our services commit to providing a high quality technical expertise product at a high benefit to cost ratio. We design, develop and produce customized embedded electronic hardware and software control systems.

Our fields of competency include analogue and digital electronics, ASIC/FPGA/DSP architecture and design, switched mode power conversion, feedback control systems, software and computer engineering. Since 1995 our hardware and software architectures have been applied in areas such as mixed-signal co-simulation software, wireless data telemetry, propulsion and guidance, vibration control, platform stabilization, model reference profiling adaptive controllers, energy harvesting, switched mode power conversion systems, FACTS controllers, and both single and 3-ϕ bi-directional Grid-Tied power inverters for solar photo-voltaic, wind and other emerging renewable energy technology applications.

Providing our customers access to customized technical advisement and market research within their target industry, facilitates an integral component of a well informed, successfully managed product development strategy. We assist our clients in developing ambitious concepts, solutions and implementations that maximize their return on investment while mitigating technological obsolescence and unnecessary systemic risk.

From conceptual product definition and specification to architecture, partitioning and implementation, we offer a detail and research oriented approach to technical product development and project management. A firm foundation in physics, electromagnetic theory from first principles, advanced mathematics and electronics implementation provides us a keen ability to visualize, predict and implement future technology trends. This translates into novel implementations, advanced features leading to faster product adoption by the customer and increased customer engagement in the product evolution cycle. Let us assist in developing the concepts that lead to your company's next successful product introduction.


The following provides a brief itemization of our general development line items:

* State Space-Vector Modulation, modified/symmetrical SVM
* Direct-quadrature IRP pq-theory “3-2 Clark” and "2-3 Park" orthonormal transformation feedback compensation methods
* PFC switching duty cycle computation
* PFC boost inductor energy, inductance, core selection, fringing, gapping and optimization
* PFC inductor leakage inductance
* PFC DC bus ripple voltage
* PFC DC bus total holdup capacitance
* PFC switch hard switching and conduction losses
* PFC Vienna rectifier Boost Diode conduction and non-SiC switching losses
* PCB microstrip trace impedance
* PCB microstrip resistive series source and RCD shunt load termination techniques
* PCB trace skin effect resistance, temperature rise and optimization (power switching planes)
* Snubber design for hard switched devices
* Creepage and high voltage isolation
* X & Y EMI suppression capacitors
* LCL filter design
* Common mode filter design
* Current doubler rectifier design
* Current sense amplifier design
* Gate driver design (transformer coupled or isolated all semiconductor)
* ZVS half bridge totem-pole switch effective output capacitance (Coss) computations
* ZVS critical primary current
* ZVS transformer primary, secondary, all primary referred leakage inductance and core selection
* ZVS resonant LLC resonant inductance
* ZVS resonant LLC ZVS dropout power and current
* ZVS resonant LLC soft switching conduction losses
* ZVS resonant LLC optimum resonant dead-time computations
* ZVS full H-bridge switch conduction losses
* ZVS transformer secondary, full bridge, full wave or current doubler diode or synchronous rectifier conduction losses
* Output full bridge, full wave or current doubler inductor and capacitor computations and specification
* AC/DC converter output capacitance/qty based on Aluminium capacitor ripple current and ripple operational service life
* Ceramic and film capacitor ripple current operational service life
* Capacitor ESR and total power loss computations
* Aluminium capacitor thermal resistance and forced air flow cooling requirements
* Semiconductor switch thermal resistance, heat sinking and forced air flow cooling requirements
* s and z domain TypeII/III Compensator design and optimization
* Dual V/I closed loop digital phase margin stability feedback compensation methods

ZVS resonant LLC and quasi-resonant secondary side duty cycle loss

The criterion for ZVS operation is met when the energy imparted to the totem-pole effective output capacitance Coss is =< the energy imparted to the total resonant inductance composed of both primary referred leakage inductance and any additional discrete resonant inductance. The energy stored in the resonant inductor is proportional to the peak inductor current which takes some finite quantity of time to develop. This resonant inductor charge time is the source of secondary side duty cycle loss as during this period, no power is transferred between the primary and secondary.

ZVS operation is only assured below some maximum (primary) reflected load resistance, or minimum output power. The size of the resonant inductance thus determines the minimum ZVS output power. Wider ZVS operational load compliance leads to increased resonant inductance and thus greater secondary side duty cycle loss.

For a high turns ratio H-bridge stage, the implications can be dramatic. Secondary side duty cycle loss results in reduced average rectified secondary side voltage. Thus for a required minimum average rectified voltage, the turns ratio must be increased accordingly with an accompanying increase of pre-rectified peak secondary side voltage. This may result in the avalanche breakdown voltage of the secondary switches being reached, requiring the choice of a higher voltage rated switch along with, for MOSFETs, greater on resistance, power dissipation and loss of efficiency.

State Space-Vector Modulation Fundamentals

Consider a DC to sinusoidal 3-ϕ AC grid tied power converter for which the model reference waveform is the output from a PLL locked to the frequency and phase of the grid voltage. A state machine may be configured to output three temporally spaced sinusoidal voltage command vectors. The state machine command vector outputs control three half-bridge power switches that can switch either the input DC bus voltage Vdc or the ground potential on either of three outputs phases. Such a state machine can thus be considered analogous to the stator of a physical generator with the rotor being spun at the reference frequency. It has the ability to synthesize an arbitrary magnitude 3-ϕ sine wave output synchronized to the command reference input.


Figure 1: 3-ϕ switch output driven impedances for state vectors 100 and 011

For a three phase power converter comprising three half-bridge switches where the upper and lower switches are switched 180o out of phase with one another, six unique active state vectors may be applied to the switch inputs plus two null vectors that support no voltage across either of the three phase neutral point coupled output load impedance. The six active state vector operation of this configuration is referred to as six-step. It can easily be verified from consideration of Figure 1, that the maximum voltage applied to any output phase load impedance is and occurs across the specific phase indicated by the minority one or zero of any non null Gray coded active state vector.

With this configuration, the aforementioned state machine comprises six discrete states each of which is responsible for operation within its sector during which the PWM duty cycle of each of the three half-bridge switches is computed on a per cycle basis at the PWM switching frequency, from the advancing phase angle of the reference input. As the phase angle advances to the border of the current sector, the state machine transitions to the following state where the operation is repeated. Each of the six states, by virtue of the three-bit Gray coded state variable (vector), has the ability to produce a voltage on each of the three output phases, within each of the six sectors of a full cycle at the line fundamental. As the six states are synchronized to and sequenced through completely during one full cycle at the radial frequency of the reference vector, three phase voltage outputs are synthesized. 


Figure 2: SVM voltage hexagon

Space Vector Modulation relies on the principle that any vector inside the dashed hexagon can be expressed as the time or pulse duration weighted average combination of any two adjacent active space vectors and the null-state vectors 0 (000) and 7 (111). In order to obtain optimum harmonic performance and the minimum switching frequency for each of the power switching devices, the state sequence is arranged such that the transition from one state to the next is performed by switching only one half-bridge inverter leg at a time. This effectively means that the sequential state vector space is Gray coded.

As the weight of adjacent active state vectors always differs by one, then either of the null vectors (000) or (111) can be judiciously inserted within active state vector time-weighted switching sequences, whilst still preserving Gray coding and thus minimum switching, and enabling either inter sector time averaged synthesis of a desired voltage or equivalently, optimum vector angular positioning. For instance, within sector III, the synthesis of an optimum intermediate voltage may be achieved by switching the symmetrical state vector sequence 7340437 while within sector IV the state sequence is 7540457. In this example both the two null state vectors 7 (111) and 0 (000) were judiciously inserted at both ends and middle respectively of the switching sequence comprising state vectors 3,4 and 4,5 whilst preserving Gray coding. Note that sector to sector state vector transition sequences always begin and end with a null state vector. Also, in order to preserve Gray coding, active state vector sequences are either forward or reversed depending on whether the sector is even or odd and the placement of the null state vectors 0 and 7. As a result, the state vector sequences for sectors III and IV of the previous example could alternatively have been 0437340 and 0457540 respectively.

Six-step hexagonal state space vector switching operation alone will not produce sufficiently low THD as this output waveform does not sufficiently approximate a sine. Indeed the sharp vertices of the state space hexagon define an imperfect approximation to a smooth circle. In order to remove the sharp hexagonal vertices, the optimum state space vector trajectory is that which encompass the largest inscribed circle of radius within the bounds of the state space hexagon, where the absolute magnitude of any active state vector is 2/3 Vdc. It is for this reason that the active state vectors are not switched during symmetric center aligned conventional SVM modulation at the hexagon vertices. Inter-sector pulse duration or PWM duty-cycle weighted vector averaging is thus used to more accurately approximate a perfect circular state space trajectory resulting in a more perfect sine output waveform with sufficiently low THD.

Note: The above is an excerpt from the document State Space-Vector Modulation Fundamentals.pdf