SLAA898 September   2022 TAS3251 , TPA3255

 

  1.   Abstract
  2.   Trademarks
  3. 1Introduction
    1. 1.1 Power Amplifiers
    2. 1.2 Discrete Power Amplifier Implementation
    3. 1.3 Class-D Amplifier Implementation
    4. 1.4 Advantage of a Class-D Implementation
  4. 2Background
    1. 2.1 Why Use Constant Voltage Audio Systems
    2. 2.2 Basic Principle of Constant Voltage Systems
    3. 2.3 Power Loss in Transformer
    4. 2.4 Auto-Transformer
  5. 3System Test (Based on TPA3255)
    1. 3.1 Transformer Characteristics
      1. 3.1.1 Turns Ratio and Resistance Match
      2. 3.1.2 DCR of the Transformer
    2. 3.2 System Build-Up
    3. 3.3 System Test
  6. 4Efficiency Analysis and Optimization
    1. 4.1 Efficiency of Three Parts
      1. 4.1.1 Efficiency for TPA3255
      2. 4.1.2 Efficiency for Step-Up Transformer
      3. 4.1.3 Efficiency for Step-Down Transformer 330-040
    2. 4.2 Improvements on System Efficiency
      1. 4.2.1 Improve Resistance Matching
      2. 4.2.2 Apply a Transformer With Less Power Loss
  7. 5Considerations on Building a Constant Voltage System
    1. 5.1 Transformer Saturation
    2. 5.2 Low DCR
    3. 5.3 Resistance Matching

Turns Ratio and Resistance Match

See the data sheet for turns ratio when using different configurations. For the transformer in Figure 3-1, the voltage on the primary and secondary sides has been marked. The turns ratio (abbreviated as TR) is proportional with the voltage ratio. Table 3-1 show the basic characteristics of the transformer.

GUID-BD3DD99E-C010-4BC3-9B7A-C3BA32CBEF2F-low.pngFigure 3-1 Step-Up Transformer From Peavey® (Auto Match II 400W 18737)
Table 3-1 Turns Ratio and Resistance Matching Under Different Configurations for Peavey® Step-Up Transformer (Tap 1 is Primary Ground and Tap A is Secondary Ground)
Configuration Parameters Secondary: Tap A, B (70.7 V) Secondary: Tap A, C (100 V)
Primary: tap 1, 2 (20 V) TR 1/3.535 1/5
U1/U2 1/3.535 1/5
R1/R2 1/12.496225 1/25
Primary: tap 1, 3 (28 V) TR 1/2.525 1/3.571
U1/U2 1/2.525 1/3.571
R1/R2 1/6.375625 1/12.752041
Primary: tap 1, 4 (40 V) TR 1/1.7675 1/2.5
U1/U2 1/1.7675 1/2.5
R1/R2 1/3.124056 1/6.25
Primary: tap 1, 5 (56 V) TR 1/1.2625 1/1.786
U1/U2 1/1.2625 1/1.786
R1/R2 1/1.593906 1/3.189796

For the transformer in Figure 3-2, the voltage level is not marked on one side (4 Ω, 8 Ω side). Two methods can be applied to determine the turns ratio. First, a 300-W transformer. If 4 Ω is the primary configuration, and 300 W must be reached when the input is about 34.6 V (according to Equation 2), the turns ratio can be calculated as 34.6 / 70.7 = 1 / 2.04 under 4 Ω, 70 V configuration. If 8 Ω is the primary configuration, the corresponding voltage level is about 49 V, and the turns ratio for 8 Ω, 70 V is 49 / 70.7 = 1 / 1.44. The other option is to connect a certain resistor (say 40 Ω) to one side and test the equivalent resistance on the other side. If connecting 16 Ω to tap 70 V, and measuring the resistance between tap "4 Ω" and tap “Com” is measured as 3.84 Ω, the relevant turns ratio is 2.04 according to Equation 1.

GUID-8159AD83-5DAD-4250-A816-48627CE6FD2D-low.pngFigure 3-2 Step-Up Transformer From EDCOR® (EA300)
Table 3-2 Turns Ratio and Resistance Match Under Different Configurations for EDCOR® Step-up Transformer
ConfigurationParametersSecondary: 70.7 VSecondary: 100 V
Primary 4 ΩTR1/2.041/2.89
U1/U21/2.041/2.89
R1/R21/4.16161/8.3521
Primary: 8 ΩTR1/1.451/2.05
U1/U21/1.451/2.05
R1/R21/2.10251/4.2025

For the step-down transformer in Figure 3-3, the turns ratio can be determined by measuring the equivalent resistance. In this case, a 70-V system was considered. For the primary side, the voltage and power is known. And for secondary side, the reference resistive load is known. Suppose input power P (10 W, 5 W, 2.5 W, 1.25 W or 0.62 W), primary voltage U1 (70.7 V), equivalent resistance, R1, and secondary side voltage is U2 (unknown), or R2 (4 Ω or 8 Ω). If power losses are ignored, the power on both sides should be the same.

Equation 8. P=U12R1=U22R2
Equation 9. U2=P×R2
Equation 10. TR=U1U2=U1P × R2

The turns ratio was determined using Equation 10.

GUID-0AFCE5A4-26C5-4BEA-8B1B-E23987271DDB-low.pngFigure 3-3 Step-Down Transformer From Peavey® (330-040) (a)
GUID-305C2D74-B724-4D6A-91BA-DA2F40BDAF8B-low.pngFigure 3-4 Step-Down Transformer From Peavey® (330-040) (b)
Table 3-3 Turns Ratio and Resistance Match Under Different Configurations for Peavey® Step-Down Transformer
ConfigurationParametersSecondary: 4 ΩSecondary: 8 Ω
Primary: 10 WTR11.1797.905
U1/U211.1797.905
R1/R2124.970062.4890
Primary: 5 WTR15.80911.179
U1/U215.80911.179
R1/R2249.9245124.9700
Primary: 2.5 WTR22.35715.809
U1/U222.35715.809
R1/R2499.8354249.9245
Primary 1.25 WTR31.61822.357
U1/U231.61822.357
R1/R2999.6979499.8354
Primary 0.62 WTR44.89531.745
U1/U244.89531.745
R1/R22015.56101007.7450