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<div id="projectname">CMSIS-DSP
&#160;<span id="projectnumber">Version 1.5.1</span>
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<a href="#func-members">Functions</a> </div>
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<div class="title">Vector Clarke Transform<div class="ingroups"><a class="el" href="group__groupController.html">Controller Functions</a></div></div> </div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:gabbfa27c68837d22f03d6c6259569caa8"><td class="memItemLeft" align="right" valign="top">CMSIS_INLINE __STATIC_INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__clarke.html#gabbfa27c68837d22f03d6c6259569caa8">arm_clarke_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ia, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ib, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIalpha, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIbeta)</td></tr>
<tr class="memdesc:gabbfa27c68837d22f03d6c6259569caa8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point Clarke transform. <a href="#gabbfa27c68837d22f03d6c6259569caa8">More...</a><br/></td></tr>
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<tr class="memitem:ga0c69ebd2855ce6d34008eff808881e78"><td class="memItemLeft" align="right" valign="top">CMSIS_INLINE __STATIC_INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__clarke.html#ga0c69ebd2855ce6d34008eff808881e78">arm_clarke_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ia, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ib, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIalpha, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIbeta)</td></tr>
<tr class="memdesc:ga0c69ebd2855ce6d34008eff808881e78"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clarke transform for Q31 version. <a href="#ga0c69ebd2855ce6d34008eff808881e78">More...</a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector. Generally the Clarke transform uses three-phase currents <code>Ia, Ib and Ic</code> to calculate currents in the two-phase orthogonal stator axis <code>Ialpha</code> and <code>Ibeta</code>. When <code>Ialpha</code> is superposed with <code>Ia</code> as shown in the figure below </p>
<div class="image">
<img src="clarke.gif" alt="clarke.gif"/>
<div class="caption">
Stator current space vector and its components in (a,b).</div></div>
<p> and <code>Ia + Ib + Ic = 0</code>, in this condition <code>Ialpha</code> and <code>Ibeta</code> can be calculated using only <code>Ia</code> and <code>Ib</code>.</p>
<p>The function operates on a single sample of data and each call to the function returns the processed output. The library provides separate functions for Q31 and floating-point data types. </p>
<dl class="section user"><dt>Algorithm</dt><dd><div class="image">
<img src="clarkeFormula.gif" alt="clarkeFormula.gif"/>
</div>
where <code>Ia</code> and <code>Ib</code> are the instantaneous stator phases and <code>pIalpha</code> and <code>pIbeta</code> are the two coordinates of time invariant vector. </dd></dl>
<dl class="section user"><dt>Fixed-Point Behavior</dt><dd>Care must be taken when using the Q31 version of the Clarke transform. In particular, the overflow and saturation behavior of the accumulator used must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
<h2 class="groupheader">Function Documentation</h2>
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<td class="memname">CMSIS_INLINE __STATIC_INLINE void arm_clarke_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
<td class="paramname"><em>Ia</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
<td class="paramname"><em>Ib</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
<td class="paramname"><em>pIalpha</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
<td class="paramname"><em>pIbeta</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">Ia</td><td>input three-phase coordinate <code>a</code> </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">Ib</td><td>input three-phase coordinate <code>b</code> </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIalpha</td><td>points to output two-phase orthogonal vector axis alpha </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIbeta</td><td>points to output two-phase orthogonal vector axis beta </td></tr>
</table>
</dd>
</dl>
</div>
</div>
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<td class="memname">CMSIS_INLINE __STATIC_INLINE void arm_clarke_q31 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
<td class="paramname"><em>Ia</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
<td class="paramname"><em>Ib</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
<td class="paramname"><em>pIalpha</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
<td class="paramname"><em>pIbeta</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">Ia</td><td>input three-phase coordinate <code>a</code> </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">Ib</td><td>input three-phase coordinate <code>b</code> </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIalpha</td><td>points to output two-phase orthogonal vector axis alpha </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIbeta</td><td>points to output two-phase orthogonal vector axis beta</td></tr>
</table>
</dd>
</dl>
<p><b>Scaling and Overflow Behavior:</b> </p>
<dl class="section user"><dt></dt><dd>The function is implemented using an internal 32-bit accumulator. The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. There is saturation on the addition, hence there is no risk of overflow. </dd></dl>
<p>References <a class="el" href="arm__math_8h.html#ab9f3cfbfb0f12975ab91ddb179160dcb">__QADD()</a>.</p>
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