”(1)You called it a distributed gap I am having some difficulty finding a good definition for that. I know its not a physical gap but what exactly is the gap in reference too.”
A distributed gap works just as a physical gap in an inductor core does – by increasing reluctance in the magnetic path. MPP cores, etc. are made up of a blend of magnetic and non-magnetic materials, with the non-magnetic oxides distributed throughout their structure. Selecting a specific Al is like setting the gap length in a conventional inductor – the longer the gap, the lower the inductance – but, the greater the DC flux that can be supported.
”(2) You say the typical perm of a 50/60Hz core is around 30k-50k with sat flux density around 17.5k gauss. Are these parameters driven by peak voltage, frequency or power? And how much flexibility exists in this(with trade offs).”
(see below)
”(3) Cross sectional area of the core. You must be working off some sort of calculator or formulas to know how many windings(250000) it would take to keep the flux below saturation for the given core. I think that tool would be very useful here. Would you mind sharing how you came to that number?”
It’s very straightforward to Google an exact formula – which varies, depending on if you are working with a sine wave or other wave shape – as well as the units you are working with (I tend to think in inches). The important thing is to get the relationship of all the factors clear in your head.
Any given magnetic core material has a finite limit of maximum flux density it can support. When driven above this level, the material loses its magnetic properties – the magnetic field collapses – and the primary winding becomes essentially a resistor, as opposed to an inductor. The transformer core is said to be “in saturation”.
In order to successfully transfer energy, with a few notable exceptions, a transformer core must support magnetic flux at some level below saturation. In the equation used to calculate magnetic flux density, the core cross-sectional area; primary turns; and frequency are all in the denominator - and so affect the primary circuit in a proportional manner. Increase primary turns, and you can proportionally reduce core cross-section or frequency. Decrease frequency - you must increase core cross-section or primary turns. Primary voltage is in the numerator of the equation – and affects the system inversely.
So – this is what makes miniaturizing a 50/60 Hz transformer so difficult. With frequency and input voltage fixed, size reduction by definition means reducing core cross-section – and that forces the designer to increase the number of primary turns to compensate. More turns squeezed into a reduced core winding area forces the designer to use smaller wire – both to accommodate the reduced area, and the greater number of turns that must be jammed in. The longer total length of the winding and smaller wire cross-section doubly increases resistive power losses and voltage drop with load (regulation).
Acceptable load regulation percentage typically becomes a limiting factor in size reduction, before temperature rise becomes an issue. It’s not unusual in a smaller commercial line-frequency transformer, to see up to 60% regulation – before reaching only 40ºC temperature rise. Another limiting factor is decreased reliability resulting from the use of extremely fine magnet wire. It doesn’t take much force to break a 48 AWG wire – which is only 0.00124 inches in diameter. Since copper expands with temperature, the designer has to consider winding techniques that protect the wire during the winding operation – as well as prevent the winding from self-destructing during regular service.
Without straying too far off-subject – a better approach at low power, operating off line at mains frequencies, is to consider a simple SMPS approach, such as a TOPswitch. Using this technology – it’s very possible to get a few watts of isolated, rectified DC power, using a transformer about the size of a thumbnail.
A distributed gap works just as a physical gap in an inductor core does – by increasing reluctance in the magnetic path. MPP cores, etc. are made up of a blend of magnetic and non-magnetic materials, with the non-magnetic oxides distributed throughout their structure. Selecting a specific Al is like setting the gap length in a conventional inductor – the longer the gap, the lower the inductance – but, the greater the DC flux that can be supported.
”(2) You say the typical perm of a 50/60Hz core is around 30k-50k with sat flux density around 17.5k gauss. Are these parameters driven by peak voltage, frequency or power? And how much flexibility exists in this(with trade offs).”
(see below)
”(3) Cross sectional area of the core. You must be working off some sort of calculator or formulas to know how many windings(250000) it would take to keep the flux below saturation for the given core. I think that tool would be very useful here. Would you mind sharing how you came to that number?”
It’s very straightforward to Google an exact formula – which varies, depending on if you are working with a sine wave or other wave shape – as well as the units you are working with (I tend to think in inches). The important thing is to get the relationship of all the factors clear in your head.
Any given magnetic core material has a finite limit of maximum flux density it can support. When driven above this level, the material loses its magnetic properties – the magnetic field collapses – and the primary winding becomes essentially a resistor, as opposed to an inductor. The transformer core is said to be “in saturation”.
In order to successfully transfer energy, with a few notable exceptions, a transformer core must support magnetic flux at some level below saturation. In the equation used to calculate magnetic flux density, the core cross-sectional area; primary turns; and frequency are all in the denominator - and so affect the primary circuit in a proportional manner. Increase primary turns, and you can proportionally reduce core cross-section or frequency. Decrease frequency - you must increase core cross-section or primary turns. Primary voltage is in the numerator of the equation – and affects the system inversely.
So – this is what makes miniaturizing a 50/60 Hz transformer so difficult. With frequency and input voltage fixed, size reduction by definition means reducing core cross-section – and that forces the designer to increase the number of primary turns to compensate. More turns squeezed into a reduced core winding area forces the designer to use smaller wire – both to accommodate the reduced area, and the greater number of turns that must be jammed in. The longer total length of the winding and smaller wire cross-section doubly increases resistive power losses and voltage drop with load (regulation).
Acceptable load regulation percentage typically becomes a limiting factor in size reduction, before temperature rise becomes an issue. It’s not unusual in a smaller commercial line-frequency transformer, to see up to 60% regulation – before reaching only 40ºC temperature rise. Another limiting factor is decreased reliability resulting from the use of extremely fine magnet wire. It doesn’t take much force to break a 48 AWG wire – which is only 0.00124 inches in diameter. Since copper expands with temperature, the designer has to consider winding techniques that protect the wire during the winding operation – as well as prevent the winding from self-destructing during regular service.
Without straying too far off-subject – a better approach at low power, operating off line at mains frequencies, is to consider a simple SMPS approach, such as a TOPswitch. Using this technology – it’s very possible to get a few watts of isolated, rectified DC power, using a transformer about the size of a thumbnail.